A large bucket contains 1 2/3 pounds of dough. How many loaves of bread can be made if you need 4/5 a pound of dough omf or each loaf?

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]

The age of Savannah is 11 years old.

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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Answer:

The check Bob wrote was $134.

Step-by-step explanation:

110 + 24 = 134

110 - 134 = (-24)

Hope this helps!

The answer for 2 + 2 in the addition is determined as 4.

Addition is a mathematical operation that involves combining two or more quantities or values to find their total or sum.

Addition is one of the four basic arithmetic operations, along with subtraction, multiplication, and division.

In addition operation, the two or more numbers are often added to produce result called the sum.

For example, in the equation; 2 + 2 = 4.

2 and 2 are the addends, and 4 is the sum.

We can also preform addition on fractions. decimas, percentages, etc.

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

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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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.

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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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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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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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.

The options that complete the statements are:

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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Answer:

x=5

Step-by-step explanation:

Multiply 3 on both sides.

Add 8 to both sides.

Divide both sides by -2

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

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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Answer:

Sure. Here are the steps on how to find the area P(x>290) when the mean is 304 and the standard deviation is 8:

Convert the mean and standard deviation to z-scores.

The z-score is a way of standardizing a distribution so that it has a mean of 0 and a standard deviation of 1. To calculate the z-score for a given value, we use the following formula:

z = (x - μ) / σ

where:

x is the value we are interested in

μ is the mean of the distribution

σ is the standard deviation of the distribution

In this case, the mean is 304 and the standard deviation is 8, so the z-score for 290 is:

z = (290 - 304) / 8 = -2.00

Find the area under the standard normal curve that corresponds to the z-score.

We can use a z-table to find the area under the standard normal curve that corresponds to a given z-score. The z-table is a table that lists the area under the standard normal curve for different z-scores.

Looking up the z-score of -2.00 in the z-table, we find that the area is 0.0228.

Multiply the area by 100 to get the probability.

The area under the standard normal curve is expressed as a percentage. To get the probability, we need to multiply the area by 100.

In this case, the area is 0.0228, so the probability is 2.28%.

Therefore, the area P(x>290) when the mean is 304 and the standard deviation is 8 is 2.28%.

Step-by-step explanation:

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.

Answer: y = -3x^2 + 24x - 45

Step-by-step explanation:

To find the equation of the parabola with a vertex of (4, 3) and passing through points (2, -9) and (5, 0), we can use the vertex form of a parabolic equation:

y = a(x - h)^2 + k

Here, (h, k) is the vertex of the parabola. So, we have:

y = a(x - 4)^2 + 3

Now, we need to find the value of 'a' using the two points (2, -9) and (5, 0).

First, let's plug in the point (2, -9):

-9 = a(2 - 4)^2 + 3

-9 = a(-2)^2 + 3

-9 = 4a + 3

Subtract 3 from both sides:

-12 = 4a

Now, divide both sides by 4:

a = -3

Now that we have the value of 'a', we can plug it back into the equation:

y = -3(x - 4)^2 + 3

This is the equation of the parabola in vertex form. To convert it to standard form, we can expand the equation:

y = -3(x^2 - 8x + 16) + 3

y = -3x^2 + 24x - 48 + 3

Now, combine the constants:

y = -3x^2 + 24x - 45

This is the equation of the parabola in standard form.

The ratio of density of cylinder A to cylinder is 8 : 49.

The ratio of the density of the two cylinders is calculated as follows;

The formula for the density of the cylinders is given as;

density = m / (πr²h)

For cylinder A and B;

height = h = h_B = h

mass = m, m_B = 2m_A = 2m

radius, = r, r_B = 4/7r_A = 4/7r

Density of cylinder A = m / (πr²h)

Density of cylinder B = 2m/(π(4/7r)²h = 2m/π16r²h/49  = (2m x 49)/π16r²h

Ratio of the two densities is calculated as;

A/B =  m / (πr²h)     x       π16r²h / (2m x 49)

= 16/(2 x 49)

= 8/49

= 8 : 49

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Answer:

$14.43

That's just the answer

By subtracting 62 - 47.57

Let a number be 'x'

∴ 1 less than twice x = 2x - 1

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

So the minimal transportation cost is $8,700, and it can be achieved by renting 6 buses and 27 vans.

Let's start by defining our variables. Let b be the number of buses and v be the number of vans to be rented. We want to minimize the transportation costs, so our objective function is:

C = 1400b + 100v

We also have two constraints:

The total number of students that can be transported cannot be less than 720:

72b + 9v ≥ 720

The total number of chaperones cannot be more than 45:

3b + v ≤ 45

Now we can solve for b and v. Let's solve the second constraint for v:

v ≤ 45 - 3b

Substituting this inequality into the first constraint, we get:

72b + 9(45 - 3b) ≥ 720

Simplifying and solving for b, we get:

b ≥ 6

So we know that we need to rent at least 6 buses. Since we cannot rent a fraction of a bus or van, b must be an integer. Let's try b = 6 and see if it satisfies the second constraint:

3(6) + v ≤ 45

v ≤ 27

Since v must also be an integer, the largest integer that satisfies this inequality is v = 27. Now we can calculate the total cost:

C = 1400(6) + 100(27) = 8700

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The graph of the inequality expression 10x+5y < -4 is attached

From the question, we have the following parameters that can be used in our computation:

10x+5y-4

Express properly

So, we have

10x+5y < -4

Next, we plot the graph using a graphing tool

The graph is added as an attacment

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3.628 fluid ounces will not fit in the pitcher.

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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Answer:

Step-by-step explanation:

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

________________________________________________________

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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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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The probability of tuning an engine in 20 minutes or less is 0.5

Given that the time it takes to completely tune an engine of an automobile follows an exponential distribution with a mean of 30 minutes.

Let X be the time taken to tune an engine, then X follows an exponential distribution with mean μ = 30 minutes.

The probability of tuning an engine in 20 minutes or less can be calculated as follows

P(X ≤ 20) = 1 - [tex]e^{-lambda*x}[/tex]

where λ = 1/μ is the rate parameter.

So, substituting the values we get:

P(X ≤ 20) = 1 - [tex]e^{-20/30}[/tex]

= 1 - [tex]e^{-0.6667}[/tex]

Subtract the numbers

= 0.5

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Answer:

The answer for the value of x is 9.025 to 3SF

The side length of the square, denoted as x, is found to be approximately 6.38 cm, obtained by working out the relationships between the circle's radius, diameter, and the square's diagonal.

In this mathematics problem, we can solve for x by first understanding the relationship between the square and the circle. Since each vertex of the square is on the circumference of the circle, the diameter of the circle is equal to the diagonal of the square. We can find the diameter of the circle using the formula for the area of a circle, which is A = πr² where r is the radius.

Given the area of the circle as 64 cm², we solve for r, which yields approximately 4.52 cm. The diameter then is twice the radius, approximately 9.05 cm. Now, for a square inscribed in a circle, the diagonal is given by √x² + x² = d². Here, d is the diameter of the circle.

Solving for x, we get that x, the side of the square, is approximately 6.38 cm to three significant figures.

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Answer:

92

Step-by-step explanation:

Since every single triangle is 180 degrees, we can add 46 + 42 and subtract that from 180 to get our answer.

[tex]46+42=88[/tex]

[tex]180-88=92[/tex]

You can check your work by:

[tex]46+42+92=180[/tex]

[tex]180=180[/tex]

So your answer is 92.

Hope this helps!