a builder has a 100-acre plot of ground. he sets aside 20% for a school and playground; 15% for roads, drainage ditches, and sidewalks; and 15% for a strip shopping area with parking and buffer. he plans to build three houses per acre. how many homes can be built on this property?

Answers

Answer 1

Answer:

(3 houses/acre)(100 acres)(.5) =

150 houses

Answer 2

The remaining land is 50 acres (100-50), and the builder plans to build three houses per acre. So, the number of houses that can be built on this property is (50 x 3) = 150 acres.


First, let's determine how much of the 100-acre plot is left for building houses after setting aside land for the school, playground, roads, drainage ditches, sidewalks, and the strip shopping area with parking and buffer.

1. School and playground: 20% of 100 acres = 0.20 * 100 = 20 acres
2. Roads, drainage ditches, and sidewalks: 15% of 100 acres = 0.15 * 100 = 15 acres
3. Strip shopping area with parking and buffer: 15% of 100 acres = 0.15 * 100 = 15 acres

Now, add up these reserved areas: 20 acres + 15 acres + 15 acres = 50 acres

The builder has set aside 20 acres for the school and playground, 15 acres for roads, drainage ditches, and sidewalks, and another 15 acres for the strip shopping area with parking and buffer. Therefore, the total area that has been allocated is 50 acres (20+15+15).

Subtract the total reserved area from the total plot area to find the area available for building houses: 100 acres - 50 acres = 50 acres

Since the builder plans to build three houses per acre, we can multiply the available area by the number of houses per acre: 50 acres * 3 houses/acre = 150 houses

The builder can build 150 homes on this property.

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Related Questions

Before David went to the hardware store, he had $43 in his bank account. After writing a check and purchasing some new new tools, his bank informed him that his account had -$52 dollars in it. How much money was on the check David wrote

Answers

Answer:

$95

Step-by-step explanation:

43 - 95 = -52

The bank paid for somthing for David. Now Davids Bank Account is in the negitve of $52. Now he owes the bank money.

if you take how much money david had

and subtact it with 95 it will equal up to $-52

________________________________________________________

The hypotenuse of a right triangle measures 18cm and one of its leg measures 2 cm. find the measure of the other leg

Answers

Using Pythagorean's theorem we can see that the measure of the other leg of the right triangle is 17.89 cm

How to find the measure of the other leg?

By Pythagorean's theorem, we know that the sum of the squares of the legs is equal to the square of the hypotenuse.

Then if the other leg has a length x, we can write the equation:

[tex]x^2 + 2^2 = 18^2[/tex]

Solving for x we get:

[tex]x = \sqrt{(18^2 - 2^2)}[/tex]

Solving that square root we will get:

x = 17.89 cm

That is the measure of the other leg of the right triangle.

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Figure out the answer to the question.‍♀️ show work
2[3(4^2+1)]-2^3









Answer to the Question is 94

Answers

Step-by-step explanation:

To simplify the given expression:

2[3(4^2+1)]-2^3

First, we evaluate the exponent:

4^2 = 4 * 4 = 16

Now we can substitute this value back into the original expression:

2[3(16+1)]-2^3

Next, we perform the addition inside the parentheses:

16 + 1 = 17

Substituting this back into the expression:

2[3(17)]-2^3

Then, we perform the multiplication inside the square brackets:

3 * 17 = 51

Substituting this back into the expression:

2[51]-2^3

Next, we perform the exponent:

2^3 = 2 * 2 * 2 = 8

Substituting this back into the expression:

2[51]-8

Finally, we perform the remaining multiplication:

2 * 51 = 102

Substituting this back into the expression:

102 - 8

Now we can perform the subtraction:

102 - 8 = 94

So, the simplified form of the given expression is 94.

When you rewrite an addition or subtraction problem using the Distributive Property, you have to ______ both values by a common factor, usually the GCF.

Answers

When you rewrite an addition or subtraction problem using the Distributive Property, you have to factor out both values by a common factor, usually the GCF.

This process involves identifying the common factor (the greatest common factor, or GCF) of the terms and then applying the Distributive Property to rewrite the expression. This common factor can be the greatest common factor (GCF) if it exists, but it does not have to be. The goal is to find a factor that is common to both terms, so that it can be factored out and the expression can be simplified.For example, consider the expression 6 + 8. We can rewrite this using the distributive property by factoring out 2, which is a common factor of both 6 and 8:6 + 8 = 2(3) + 2(4)Then, we can simplify the expression by adding the like terms:2(3) + 2(4) = 6 + 8 = 14Note that in this example, we factored out the common factor 2, which is not the GCF of 6 and 8 (the GCF is 2). However, factoring out 2 allowed us to simplify the expression using the distributive property.

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Bob has $110 in his bank account before writing a check to incest in his next big invention. After writing the check, bob found that he had a balance of -$24 in his account. How much many was on the check bob wrote?

Answers

Answer:

The check Bob wrote was $134.

Step-by-step explanation:

110 + 24 = 134

110 - 134 = (-24)

Hope this helps!

PLEASE HELP I NEED THIS ASAP THANK YOU.

Answers

The bases of both the triangles are 15 and 5 units respectively.

Given are right triangles we need to find the bases of the triangles,

Using the trigonometric ratios,

1) Let the base be b,

We know that the tangent of an angle is the ratio of the perpendicular side to the base.

So,

Tan 60° = 15√3/b

b = 15√3/√3

b = 15

Therefore the base of the first triangle is 15 units.

Similarly,

2) The cosine of an angle of rt. triangle is the ratio base to the hypotenuse.

So,

Cos 45° = m/5√2

1/√2 = m/5√2

m/5 = 1

m = 5

Therefore the base of the first triangle is 5 units.

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for each meal purchased at a restaurant, all customers are allowed to randomly select one of three discount tickets. the tickets are all equally likely to be selected and consist of discounts for $1, $3, or $5 on the next purchase of a meal. a customer purchased two meals. the customer will select one discount ticket, replace it, and then select a second discount ticket. what is the probability that the customer will select two tickets with discounts of $3 and $5 ?

Answers

The probability that the customer will select two tickets with discounts of $3 and $5 is $1/9 or approximately $0.111.

The study of random occurrences or phenomena falls under the category of probability, which is a branch of mathematics. It represents the probability of an event happening. A number between 0 and 1, where 0 denotes impossibility and 1 denotes certainty, is used to symbolize it. By dividing the number of favorable outcomes by the total number of potential outcomes, the probability of an occurrence is determined. Numerous disciplines, including science, engineering, finance, economics, and social sciences, to mention a few, make extensive use of probability theory.

Since the customer selects a ticket, replaces it, and selects another ticket, the two selections are independent events. The probability of selecting a $3 discount ticket on the first meal is $1/3, and the probability of selecting a $5 discount ticket on the second meal is also $1/3.Therefore, the probability of selecting both a $3 and a $5 discount ticket is:

[tex]\frac{1}{3} . \frac{1}{3} = \frac{1}{9}[/tex]

So the probability that the customer will select two tickets with discounts of $3 and $5 is $1/9 or approximately $0.111.

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Krissy created the following equation to describe the cost of renting a bicycle. What type of function is this?

Answers

The equation of the cost of renting a bicycle given by Krissy is non-proportional.

Here we see that the function Krissy wrote was

y = 5x + 15.

A function is called a proportional function if y/x is some fixed constant. This means, rearranging the equation should give us

y/x = k, where k is some constant.

Here we have,

y = 5x + 15

Dividing both sides by x will give us

y/x = 5 + 15/x

Now, clearly RHS is not a constant as it has a variable x present. Hence the function is non-proportional.

Another way to check the proportionality of a function is to check whether the function is in the form of

y = cx, where c is a constant. Here, there should not be added or subtracted constant with x. On the concerned equation, RHS had an additional constant of + 15.

Hence, the equation given by Krissy is a non-proportional function.

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find the exact valuse of the cosine and sine of the angle.Then find the decimal values. θ=210°

Answers

The trigonometric ratio of the angle in radical and decimal form are:

cos 210° = -(√3)/2

sin 210° = -1/2

cos 210° = -0.87

sin 210° = -0.50

How to simplify trigonometric ratios?

There are different trigonometric ratios such as:

sin x = opposite/hypotenuse

cos x = adjacent/hypotenuse

tan x = opposite/adjacent

We are given the angle as  θ = 210°. Thus:

cos 210° = -(√3)/2

Negative because it is in the third quadrant.

sin 210° = -1/2

Negative because it is in the third quadrant.

Similarly, those angles in decimals to the nearest hundredth are:

cos 210° = -0.87

sin 210° = -0.50

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Si se consideran los puntos A(2013; 0,94), B(2015; 0,93) y C(2020; 0,91), calcula las pendientes de las rectas AB y BC e interpreta los resultados

Answers

The rate of decrease is slower between points B and C compared to the rate of decrease between points A and B.

How to solve for the rate

If you consider the points A(2013; 0.94), B(2015; 0.93), and C(2020; 0.91), calculate the slopes of lines AB and BC and interpret the results.

In order to calculate the slopes of lines AB and BC, you can use the slope formula:

Slope (m) = (y2 - y1) / (x2 - x1)

For line AB, use points A(2013; 0.94) and B(2015; 0.93):

Slope_AB = (0.93 - 0.94) / (2015 - 2013)

Slope_AB = (-0.01) / (2)

Slope_AB = -0.005

For line BC, use points B(2015; 0.93) and C(2020; 0.91):

Slope_BC = (0.91 - 0.93) / (2020 - 2015)

Slope_BC = (-0.02) / (5)

Slope_BC = -0.004

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Christan is putting up a wallpaper border on his bedroom walls. He has four walls measuring 16m, 12m, 20m, and 16m. He has 80 m of border. Will he have enough border to cover all four walls? wIll he have any left over? If so how much?

Answers

He will have 16 meters of border left over after covering all four walls.

To calculate the total length of the walls, we add the lengths of each wall:

16m + 12m + 20m + 16m = 64m

So, Christan needs to cover 64 meters of walls with the wallpaper border.

If he has 80 meters of border available, then he should have enough to cover all four walls, and he will have some left over.

To calculate how much he will have left over, we subtract the total length of the walls from the length of the border:

80m - 64m = 16m

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colin buys a box of pasta that contains 8 2/3 cups of pasta. he uses 2 1/2 cups to make dinner. how much pasta is left?

Answers

Colin purchases a package of pasta with 8 2/3 cups of spaghetti inside. He makes dinner with 2 1/2 cups. Pasta is down to 6 1/6 cups for Colin.

To find out how much pasta is left, we need to subtract the amount used from the total amount of pasta:

8 2/3 cups - 2 1/2 cups

First, we need to convert the mixed numbers to improper fractions, which will make it easier to subtract them:

8 2/3 = (8 x 3 + 2) / 3 = 26/3

2 1/2 = (2 x 2 + 1) / 2 = 5/2

Now we can subtract:

26/3 - 5/2

We must identify a common denominator in order to subtract fractions with various numerators. Since 3 and 2 have a least common denominator of 6, we can convert both fractions to have a denominator of 6:

26/3 = (26/3) x (2/2) = 52/6

5/2 = (5/2) x (3/3) = 15/6

Now we can subtract:

52/6 - 15/6 = 37/6

Therefore, Colin has 6 1/6 cups of pasta left.

When the numerator (the top number) exceeds the denominator (the bottom number), the fraction is said to be improper. This means that the fraction represents a value greater than one, and is often expressed as a mixed number (a whole number and a proper fraction).

Improper fractions are commonly used in math and can represent values in a variety of contexts, such as in measurements or in calculations. They can be added, subtracted, multiplied, and divided just like any other fraction. It is important to know how to convert improper fractions to mixed numbers and vice versa, as well as how to perform operations with them, in order to effectively solve mathematical problems.

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List three values that would make inequality true. 7n is the same or less than 21

Answers

Here are three values that would make the inequality 7n ≤ 21 true are found out to be n = 0, n = 1 and n = 3.

The inequality 7n ≤ 21 means that the product of 7 and n is less than or equal to 21. To make this inequality true, we need to find values of n that satisfy this condition.

If we substitute n = 0, we get 7(0) = 0, which is less than or equal to 21. Therefore, the inequality is true for n = 0.

If we substitute n = 1, we get 7(1) = 7, which is less than or equal to 21. Therefore, the inequality is true for n = 1.

If we substitute n = 3, we get 7(3) = 21, which is equal to 21. Since 21 is also less than or equal to 21, the inequality is true for n = 3.

Note that there are many other values of n that would also make the inequality true, such as any value of n less than or equal to 3.

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SOIVING MUITI-STEP eQuaTiONS digital puzzle DIRECTIONS: Solve each equation and put the puzzle together correctly by matching the equations to their correct answers.​

Answers

Answer:

the picture ain't clear.

Final answer:

Solving multi-step equations involves systematically isolating the variable through algebraic operations. In terms of the 'digital puzzle', it would require the matching of solved multi-step equations with their solutions, providing a practical method of practicing algebra skills.

Explanation:

Based on your question, it appears you are working on a multi-step equation puzzle. In solving multi-step equations, it is important to systematically isolate the variable. For example, if you have a multi-step equation like 3x + 2 = 14, you would first subtract 2 from both sides and then divide by 3 to get x = 4, which is the solution. Each step involves an algebraic operation, and the aim is to simplify the equation to reach your final answer.

The mentioned 'digital puzzle' is most likely an interactive activity where you have to match these multi-step equations with their corresponding solutions. Simply solve each equation and drag the solution to its corresponding equation. This is a great way to practice algebra skills.

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When you pour water from a 2-liter bottle into a 2-quart pitcher without spilling any, how many ounces with not fit in the pitcher?

Answers

3.628 fluid ounces will not fit in the pitcher.

Finding the number of Ounces that cannot be filled:

We are given the volume of water in a 2-liter bottle and the volume of a 2-quart pitcher. However, the units of measurement are different.

Hence, we need to convert one or both of the volumes to the same units before we can compare them. Use unit conversion factors to convert liters to fluid ounces and quarts to fluid ounces.

Here we have

You pour water from a 2-liter bottle into a 2-quart pitcher without spilling

One liter is equivalent to 33.814 fluid ounces, while one quart is equivalent to 32 fluid ounces.

Therefore, we have:

2 liters = 67.628 fluid ounces

2 quarts = 64 fluid ounces

Since we cannot spill any water, we know that the maximum amount of water that can fit in the pitcher is 64 fluid ounces.

To determine how many ounces will not fit in the pitcher, subtract the amount of water that will fit in the pitcher from the total amount of water in the 2- liter bottle.

This gives us:

67.628 - 64 = 3.628 fluid ounces

Therefore,

3.628 fluid ounces will not fit in the pitcher.

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Savannah is older than Gianna. Their ages are consecutive odd integers. Find Savannah's age if the product of their ages is 99

Answers

The age of Savannah is 11 years old.

What is Savannah's age?

The age of Savannah is calculated as follows;

Let x be the age of Gianna

Savannah's age can be expressed as x + 2

The product of their ages is 99, so we can set up the equation;

x(x + 2) = 99

x² + 2x = 99

x² + 2x - 99 = 0

Factorize the quadratic equation as follows;

x² + 11x - 9x - 99 = 0

(x + 11)(x - 9) = 0

x = -11 or 9

ignore the negative solution.

So, Gianna is 9 years old, which means that Savannah is 9 + 2 = 11 years old.

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On a certain hot​ summer's day, 133 people used the public swimming pool. The daily prices are 1.50 for children and 2.25 for adults. The receipts for admission totaled 270.75 How many children and how many adults swam at the public pool that​ day?

Answers

That day the number of adults was 95 and the number of children was 38

How many children and how many adults swam at the public pool that​ day?

Let's define the variables:

x = number of adults.

y = number of children.

We know that 133 people used the public swimming pool. then we can write:

x + y = 133

We also know that the receipts for admission totaled 270.75, then we can write other equation as:

2.25x + 1.5y = 270.75

Then the system of equations is:

x + y = 133

2.25x + 1.5y = 270.75

In the first equation we can isolate x to get:

y = 133 - x

Now replace that in the other equation to get:

2.25x + 1.5*(133 - x) = 270.75

0.75x + 199.5 = 270.75

0.75x = 270.75 - 199.5

x = 71.25/0.75 = 95

Then the value of y is:

y = 133 - 95 = 38

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Based on the median of the samples what is a reasonable estimate of the number of students that bike to school round toThe nearest whole number

Answers

When the sample size is small and the population distribution is not normal, the mean is a biased estimate.

Nonetheless, the bias of the mean reduces as the sample size grows, making it a more trustworthy estimator. As a result, the mean is the biased estimator whose bias will decrease as the sample size increases.

Increasing the sample size has no impact on the bias of the median, standard deviation, and range estimators since they are non-biased estimators.

These estimators may, however, be made more precise and accurate by increasing the sample size, which increases their dependability for predicting population parameters.

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Complete question:

Which biased estimator will have a reduced bias based on increased sample size? mean median standard deviation range

URGENT - Will also give brainliest to simple answer in terms of pi

A circle has radius 1 unit, find the length of the arc defined by each of these central angles

45 degrees​

Answers

The answer is at the bottom:

The entire circle has a circumference of 2πr = 2π(1) = 2π units.

Since the given central angle is 45 degrees, it represents 1/8 of the entire circle (since 360/45 = 8).

Therefore, the length of the arc defined by the central angle of 45 degrees is:

(1/8) * 2π = π/4 units.

Answer:

Step-by-step explanation:

find fraction and multiply by the full length of arc which is circumference

i.e.  [tex]\frac{part circle}{whole circle} * 2\pi r[/tex]

=[tex]\frac{45}{360} *2\pi 1[/tex]                      reduce fraction

=[tex]\frac{1}{4} \pi[/tex]

At distribution with 8 degrees of freedom is graphed below. the region under the curve to the right of t0.2 is shaded. the area of this region is 0.2. 0.10.20.30.4

Answers

A t-distribution with 8 degrees of freedom has been graphed, and the shaded region under the curve to the right of t0.2 represents the probability of obtaining a t-value greater than t0.2. The area of this region is 0.2, which means there is a 20% probability of getting a t-value greater than t0.2 in this distribution.

1. Distribution: In this context, it refers to a statistical distribution, which is a function describing the probability of different outcomes in an experiment. Here, we have a t-distribution with 8 degrees of freedom.

2. Graphed: This means that the distribution is represented visually as a curve on a graph, with the x-axis representing the t-values and the y-axis representing their probabilities.

3. Region under the curve: In a probability distribution graph, the region under the curve represents the probabilities associated with different t-values. The area of this region corresponds to the probability of a particular outcome or range of outcomes.

4. Area of this region: In the given scenario, the shaded region under the curve to the right of t0.2 has an area of 0.2, indicating that the probability of obtaining a t-value greater than t0.2 is 0.2, or 20%.

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a person travels to work at an average speed of 40 mph, and returns home at 60 mph. what, in mph, is the average speed for the entire trip?

Answers

Answer:

50

Step-by-step explanation:

A person travels to work at an average speed of 40 mph, and returns home at 60 mph. the average speed for the entire trip is 48 mph.

To find the average speed for the entire trip, we need to use the formula:

average speed = total distance / total time

Let's assume that the distance to work is d.

The time it takes to travel to work is:

time = distance / speed = d / 40

The time it takes to return home is:

time = distance / speed = d / 60

The total distance for the round trip is:

total distance = d + d = 2d

The total time for the round trip is:

total time = d/40 + d/60

We can simplify the total time by finding a common denominator:

total time = (3d/120) + (2d/120) = 5d/120 = d/24

Now we can plug in the values for total distance and total time:

average speed = (2d) / (d/24) = 48 mph

Therefore, the average speed for the entire trip is 48 mph.

To find the average speed for the entire trip, we can use the harmonic mean formula for two rates: average speed = (2 * speed1 * speed2) / (speed1 + speed2). In this case, speed1 is 40 mph (to work) and speed2 is 60 mph (returning home).

Using the formula: average speed = (2 * 40 * 60) / (40 + 60) = (4800) / (100) = 48 mph.

So, the average speed for the entire trip is 48 mph.

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drew has $ 18. this is $6 more than liam has. how many dollars does liam have

Answers

Answer:

Liam has $12.

Step-by-step explanation:

Since Drew has $18 and that is $6 more than Liam's amount of money, you would subtract 6 from 18.

18-6=12

Hence, Liam has $12.

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The box plots display measures from data collected when 20 people were asked about their wait time at a drive-thru restaurant window.

A horizontal line starting at 0, with tick marks every one-half unit up to 32. The line is labeled Wait Time In Minutes. The box extends from 10 to 14.5 on the number line. A line in the box is at 12.5. The lines outside the box end at 5 and 20. The graph is titled Fast Chicken.

A horizontal line starting at 0, with tick marks every one-half unit up to 32. The line is labeled Wait Time In Minutes. The box extends from 8.5 to 15.5 on the number line. A line in the box is at 12. The lines outside the box end at 3 and 27. The graph is titled Super Fast Food.

Which drive-thru typically has less wait time, and why?

Fast Chicken, because it has a smaller median
Fast Chicken, because it has a smaller mean
Super Fast Food, because it has a smaller median
Super Fast Food, because it has a smaller mean

Answers

The drive-thru is able to estimate their wait time more consistently will be;

⇒ Super Fast Food , because it has a smaller IQR.

Since, The range of values in the middle of the scores is known as the interquartile range, or IQR.

The appropriate measure of variability is the interquartile range when a distribution is skewed and the median is used instead of the mean to show a central tendency.

Since, IQR is the difference between the third quartile and the first quartile, which is represented by the box in the box plot.

Now, In this case, the IQR for Burger Quick is,

15.5 - 8.5 = 7.0,

while the IQR for Fast Chicken is,

14.5 - 10 = 4.5.

Hence, A smaller IQR indicates that the data is more consistent and less spread out.

Thus, The correct option here is Super Fast Food, because it has a smaller IQR (Interquartile Range).

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1 less then twice a number can somebody give me the mathematical form?? Begging!

Answers

Let a number be 'x'

∴ 1 less than twice x = 2x - 1

-5x - 3y = -26 and x+2y+1

Answers

The system of equations 5x - 3y = -26 and x + 2y + 1 = 2 can be solved using the substitution method. The solution of the system of equations is x = -8.2 and y = -5.

What is equation?

An equation is a mathematical statement that expresses two expressions as equal. It consists of two expressions separated by an equals sign (=). Equations are used to describe relationships between different quantities, and to solve problems involving those quantities. Equations may be written in words, symbols, or both. They can be used to solve problems in science, engineering, economics, and other fields.

The system of equations can be solved using substitution method or addition method. In this solution, we will use the substitution method.

Substitution Method:

Step 1: Solve one of the equations for either x or y.

Let us solve the first equation for x.

5x - 3y = -26

5x = -3y - 26

x = (-3y - 26)/5

Step 2: Substitute the expression for x in the second equation.

x + 2y + 1 = 2

(-3y - 26)/5 + 2y + 1 = 2

Step 3: Solve the equation for y.

(-3y - 26)/5 + 2y + 1 = 2

-3y/5 - 26/5 + 2y + 1 = 2

2y - 3y/5 - 26/5 + 1 = 2

-y/5 - 26/5 + 1 = 2

y/5 + 26/5 - 1 = -2

y/5 + 25/5 = -1

y = -5

Step 4: Substitute the value of y in either of the equations to calculate the value of x.

5x - 3(-5) = -26

5x + 15 = -26

5x = -41

x = -41/5

x = -8.2

Therefore, the solution of the system of equations is x = -8.2 and y = -5.

Conclusion:

The system of equations 5x - 3y = -26 and x + 2y + 1 = 2 can be solved using the substitution method. The solution of the system of equations is x = -8.2 and y = -5.

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Anna bought 8 tetras and 2 rainbow fish for her aquarium. The rainbow fish cost​ $6 more than the tetras. She paid a total of​ $37.
B.
An equation to find the cost​ t, in​ dollars, of a tetra is 8 t + 2 t + 6 = 37.
A.
The cost of 4 tetras is the same as the cost of a rainbow fish.
E.
Reducing the number of rainbow fish by 1 would result in a total cost of​ $28.50.
D.
An equation to find the cost​ r, in​ dollars, of a rainbow fish is 8 r + 2 (r + 6) 37.
C.
One rainbow fish plus 5 tetras cost​ $21.

Answers

Thus, the correct options are C, D, and E.

Given: Anna bought 8 tetras and 2 rainbow fish for her aquarium.

To Find: Which option is correct?

Solution: Let's say that the price of tetras is x, which means the price of a rainbow fish will be (x + 6).

Here, we get the equation,

8x +2(x + 6)=37

Now, after simplifying the above equation, we get

10x + 12 =37

By adding -12 on both sides of the equation, we get

10x = 37 - 12 =25

Now, we will divide the equation with 10

x = 25/10

After simplifying the equation, we get

x = 5/2 = 2.5

So, the cost of a tetra will be $2.5, and the cost of a rainbow fist will be $2.5 + $6 = $8.5

Here, option B is false because the cost of each rainbow fish is greater by $6, and here 6 is only taken once.

Option A is false because 4(2.5) is not equal to 8.5.

Option E is true because 37 - 8.5 = 28.5.

Option D is true because the equation that is being used has only one difference which is the selection of variable.

Option C is true because 5(2.5) + 8.5 = 12.5 + 8.5 = 21.

Thus, the correct options are C, D, and E.

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A random sample of 100 customers at a local ice cream shop were asked what their favorite topping was. The following data was collected from the customers.


Topping Sprinkles Nuts Hot Fudge Chocolate Chips
Number of Customers 17 12 27 44


Which of the following graphs correctly displays the data?
a bar graph titled favorite topping with the x axis labeled topping and the y axis labeled number of customers, with the first bar labeled sprinkles going to a value of 17, the second bar labeled nuts going to a value of 12, the third bar labeled hot fudge going to a value of 27, and the fourth bar labeled chocolate chips going to a value of 44
a bar graph titled favorite topping with the x axis labeled topping and the y axis labeled number of customers, with the first bar labeled nuts going to a value of 17, the second bar labeled sprinkles going to a value of 12, the third bar labeled chocolate chips going to a value of 27, and the fourth bar labeled hot fudge going to a value of 44
a histogram titled favorite topping with the x axis labeled topping and the y axis labeled number of customers, with the first bar labeled sprinkles going to a value of 17, the second bar labeled nuts going to a value of 12, the third bar labeled hot fudge going to a value of 27 ,and the fourth bar labeled chocolate chips going to a value of 44
a histogram titled favorite topping with the x axis labeled topping and the y axis labeled number of customers, with the first bar labeled nuts going to a value of 17, the second bar labeled sprinkles going to a value of 12, the third bar labeled chocolate chips going to a value of 27, and the fourth bar labeled hot fudge going to a value of 44

Answers

Where the above conditions are given, the correct graph is "a bar graph titled favorite topping with the x axis labeled topping and the y axis labeled number of customers, with the first bar labeled sprinkles going to a value of 17, the second bar labeled nuts going to a value of 12, the third bar labeled hot fudge going to a value of 27, and the fourth bar labeled chocolate chips going to a value of 44" (Option A)

How can I choose the best graph for this situation?

We must examine the data to choose the best graph for this case. In this scenario, the toppings have a link with the amount of clients that choose each flavor.

We may conclude that the best choice is A based on the amount of persons who like each topping in the order in which the table organizes them.

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help pls i need this done like right now plss

Answers

The options that complete the statements are:

Pythagoras' theoremc must equal u.the triangles are congruent.right anglecongruent.right triangle.

What is the converse Pythagoras theorem?

The converse Pythagoras theorem states that If the square of a side is equal to the sum of the square of the other two sides, then the triangle must be a right-angled triangle.

Thus, given ABC with side lengths a, b, c.

where a² + b² = c²

Then c must be the side opposite a right angle and ABC must be a right triangle.

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what is the volume of a cube with the base,height and width all 1/3

Answers

The formula for the volume of a cube is V = a³, where a is the length of one of its sides or edges

If the base, height and width of a cube are all 1/3, then the volume of the cube is:

V = (1/3)³

V = 1/27

So, the volume of the cube is 1/27 cubic units.

Alvin's age is three times Elga's age. The sum of their ages is 88. What is Elga's age?

Answers

The age of Alvin is 66 years. Then the age of Elga will be 22 years.

Given that:

Alvin's age is three times Elga's age. The sum of their ages is 88.

Let 'x' be the age of Alvin and 'y' be the age of Elga. Then the equations are given as,

x = 3y                      ...(1)

x + y = 88                ...(2)

From equations (1) and (2), then we have

3y + y = 88

4y = 88

y = 22

Then the value of 'x' is calculated as,

x = 3 × 22

x = 66

The age of Alvin is 66 years. Then the age of Elga will be 22 years.

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