Mr. Harris is adding tiles to his patio area. On Monday, he tiled 1/3 of his patio, and on Tuesday, he tiled 1/2 of the patio area. How much would he have left to tile on Wednesday?
Responses

For given equation, the constant of proportionality is 4

In this question, we have been given an equation m = 4b that represents the time in minutes (m) it takes a chef to cook a certain number of bacon cheeseburgers (b).

We need to determine the constant of proportionality.

We know that the the constant of proportionality is nothing but the ratio of two proportional values.

In this case the time a chef needs to cook depend on the number of bacon cheeseburgers (b).

So, m is directly proportional to the b

Therefore, the constant of proportionality is 4

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Answer:

The answer is 4

Step-by-step explanation:

I hope this helps!!

The equation that represents the cost of the pizza is 10x where x is the cost of one slice of pizza and the value of x is $15.

According to the question,

We have the following information:

Tara eats 3 of the 10 slices and pays $4.50 for her share.

Now, let's take the cost of one slice of the pizza to be $x.

So, we have the following expression:

3x = 4.50

Dividing by 3 on both sides of the equation:

x = 4.50/3

x = $1.50

Now, there are 10 slices in pizza.

Cost of pizza = 10x

Cost of pizza = 10*1.50

Cost of the pizza = $15

Hence, the equation that represents the cost of the pizza is 10x where x is the cost of one slice of pizza and the value of x is $15.

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Answer:

A

B

Step-by-step explanation:

that's it

Jarrod needs to walk 1 mile to reach the swimming pool

Given that: He lives 2 3/4 miles from the swimming pool

He walked 7/8 mile to the library

Then he walked 7/8 mile to the museum

The concept we need here is the addition or subtraction of fractions

To determine the miles left, we need to subtract the miles he walked from the miles 2 3/4 miles (since that is the distance from where he lives to the swimming pool)

Thus:

Miles left = 2 3/4 - 7/8 - 7/8

              = 11/4 - 7/8 -7/8              (Note:   2 3/4 = 11/4)

              =  8/8 = 1

Therefore,  he needs to walk 1 mile to reach the swimming pool

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The value of y is - 0.326 when x = 7.

A ratio is a divisional comparison of two quantities, and a proportion is the equality of two ratios. A ratio is typically expressed as x: y or x/y, although it may alternatively be read as x is to y.

Comparatively speaking, a proportional equation states that two ratios are comparable. A ratio is expressed as x: y: : z: w and is understood to mean that x is to y as z is to w. Here, w and y are not equal to 0, therefore x/y Equals z/w.

A connection between two quantities is said to be in inverse proportion if one quantity rises while the other falls, and vice versa. As a result, an inverse ratio is expressed as y ∝ 1/x.

The general equation of proportion is given by

y = k/x²

-4 = k/(-2)²

k = -4(4)=-16

y = -16/x²

When x=7, then

y= -16/49

y= - 0.326

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The image of of (0,-4) After the dilation by the scale factor of 2 at the center is (0,-8)

What is the scale factor?

A scale factor is Scaling the shape of an object. it means the shape of the object remains the same but the size of the object is either increased or decreased. A scale factor greater than 1 means size is increased and less than one means size is decreased

We are given a point (0,-4)

Which is to be scaled by the factor of 2 at the center position

As the value is greater than 1 the size increase

We multiply the coordinate to find the new coordinates

We get (0,-8)

Hence, The image of of (0,-4) After the dilation by the scale factor of 2 at the center is (0,-8)

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Answer: $38,125

Step-by-step explanation:

1/8*305000

The z-score under which 3/4 of the data lies is of:

Z = 0.675.

The z-score of a measure X of a variable that has mean symbolized by [tex]\mu[/tex] and standard deviation symbolized by [tex]\sigma[/tex] is obtained by the rule presented as follows:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The z-score under which 75% of the distribution lies is the 75th percentile, hence it is the value of Z with a p-value of 0.75.

Looking at the z-table, this value is of 0.675, as 0.675 is the mean of the p-values of Z = 0.67 and Z = 0.68.

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Using as a product using gcf as a factor sipping distributive property For the numbers 28 and 49, GCF is 77.

The biggest number that both numbers can be divided by to get the two numbers' largest common factor. The smallest number that is a multiple of both numbers is the least common multiple of the two numbers. The largest number that may divide evenly into two or more other numbers is known as the greatest common factor (GCF). This is also sometimes referred to as the highest common factor (HCF) or the greatest common divisor (GCD).

Given,

Factor sipping distributive property,

For the numbers 28 and 49

GCF:

28 + 49

7(4) + 7(7)

7(4+7)

7(11)

77

Using as a product using gcf as a factor sipping distributive property For the numbers 28 and 49, GCF is 77.

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Answer:

30

Step-by-step explanation:

Answer:

30

Step-by-step explanation:

A = 15 x 2 = 30

The value of (2/3) ÷ (1/4) is 8/3 and the value of 7 ÷ (2/3) is 21/2.

This is a question from the division of fractions.

We know the property of fractions is given by:-

(m/n) ÷ (a/b) = (m/n)*(b/a) = mb/na

Hence, we can write,

(2/3) ÷ (1/4) = (2/3) * (4/1) = 2*4/3*1 = 8/3

7 ÷ (2/3) = (7/1)*(3/2) = 7*3/ 1*2 = 21/2

Fractions

A fraction represents a part of a whole or, more generally, any number of equal parts. Numerators and denominators are also used in fractions that are not common, including compound fractions, complex fractions, and mixed numerals.

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The exponential function relating time and money will be y = 200 (1.05)ˣ. Then the correct option is A.

Consider the function:

y = a (1 + r) ˣ

Where x is the number of times this growth occurs, a = initial amount, and r = fraction by which this growth occurs.

Leticia contributes $200 at 5% interest. Assuming that y addresses how much cash after x time spans.

Then the exponential equation is written as,

y = 200(1 + 0.05)ˣ

y = 200 (1.05)ˣ

The exponential function relating time and money will be y = 200 (1.05)ˣ. Then the correct option is A.

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keeping in mind that perpendicular lines have negative reciprocal slopes, let's check for the slope of the equation above

[tex]y=\stackrel{\stackrel{m}{\downarrow }}{\cfrac{3}{2}}x+4 \qquad \impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array} \\\\[-0.35em] ~\dotfill[/tex]

[tex]\stackrel{~\hspace{5em}\textit{perpendicular lines have \underline{negative reciprocal} slopes}~\hspace{5em}} {\stackrel{slope}{\cfrac{3}{2}} ~\hfill \stackrel{reciprocal}{\cfrac{2}{3}} ~\hfill \stackrel{negative~reciprocal}{-\cfrac{2}{3}}}[/tex]

so we're really looking for the equation of a line whose slope is -2/3 and that it passes through (-6 , 2)

[tex](\stackrel{x_1}{-6}~,~\stackrel{y_1}{2})\hspace{10em} \stackrel{slope}{m} ~=~ - \cfrac{2}{3} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{2}=\stackrel{m}{- \cfrac{2}{3}}(x-\stackrel{x_1}{(-6)}) \implies y -2= -\cfrac{2}{3} (x +6) \\\\\\ y-2=-\cfrac{2}{3}x-4\implies {\Large \begin{array}{llll} y=-\cfrac{2}{3}x-2 \end{array}}[/tex]

The system of equations has its solutions to be (0, 3)

From the question, the system of equations is represented on the graph

On the graph, we have the following representations

Say the functions are f(x) and g(x)

To determine the solution to the system of equations, we set both equations equal

i.e. f(x) = g(x)

This in other words mean that we determine the coordinates of the points where the graphs intersect

In this case, they intersect at point (0, 3)

This represents the solution

Hence, the solution to the system of equations is (0, 3)

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The arithmetic sequence has the 73rd term of 306

The sequence is given as:

18,22,26,30,....

The above sequence has the following parameters

This means that the sequence is an arithmetic sequence

The nth term of an arithmetic sequence is calculated as

f(n) = a + (n - 1) * d

Substitute the known values in the above equation

So, we have the following equation

f(73) = 18 + (73 - 1) * 4

Evaluate

f(73) = 306

Hence, the 73rd term for the arithmetic sequence is 306

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Answer:

US$1.00=EC$2.70 TT$1.00=EC$0.40 calculate the value of : 1.EC$1in TT$ 2.US$80inEC$ 3.TT$648 in US$

Step-by-step explanation:

that what i've got is that I hope that helps you

Answer:

  (b)  15, 36, 39

Step-by-step explanation:

You want to know which sets of segment lengths could form a right triangle.

For segments to form a right triangle, the lengths must satisfy the triangle inequality and the Pythagorean theorem. The latter condition can often be determined by looking at the reduced ratios of the lengths, and comparing to known Pythagorean triples.

The ratio of lengths is 3:6:7. There are no integer side lengths that will form a right triangle when one of them is double another. Not a right triangle.

The ratio lengths is 5:12:13. These numbers are a common Pythagorean triple, so will form a right triangle.

The ratio of the smaller two numbers is 3:4. In order for these to form a right triangle, they must be part of a triangle with ratios 3:4:5. That would be 15, 20, 25. The side length 29 is too long for a right triangle. Not a right triangle.

The two short sides are too short to reach the ends of the long side. These lengths will not form a triangle.

__

Additional comment

The table in the attachment computes a²+b²-c². When that value is 0, the Pythagorean theorem is satisfied, and the triangle is a right triangle. Positive numbers indicate an acute triangle; negative numbers indicate an obtuse triangle.

The Pythagorean triples that came into play in this answer are {3, 4, 5} and {5, 12, 13}. Other triples commonly seen are {7, 24, 25} and {8, 15, 17}.

The cost function for the Acme Corporation is -0.2x² + 100x - 300. a cost function, transfers an event or the values of one or more variables onto a real number that signifies the event's "cost" in real terms.

A loss function, also known as a cost function, is a function used in mathematical optimization and decision theory that transfers an event or the values of one or more variables onto a real number that intuitively represents some "cost" connected to the occurrence. A loss function is the goal of an optimization problem.

The event in question is some function of the difference between the estimated and true values for a particular instance of data, and in statistics, parameter estimation is typically done using a loss function.

Given that the profit function is

p(x) = 0.5x^2 + 250x+300

also given that the revenue is given as

r(x) = 0.3x^2 + 150x

we know that profit= revenue - cost

hence cost = revenue-profit

cost = r(x) -p(x)

cost=  0.3x^2 + 150x-(0.5x^2 + 250x+300)

cost=  0.3x^2 + 150x-0.5x^2 - 250x-300

collect like terms

cost=0.3x^2-0.5^2+150x-250x-300

The cost function for the Acme Corporation = -0.2x^2-100x-300

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Answer: There is no solution

Step-by-step explanation:

The formatting of the question isn't clear, but I'll still explore both possibilities. If the square root is only applied to x, we can solve for the variable by adding 4 to both sides and then squaring both sides, which would give us 4. Since that is not an answer choice, it means the square root applies to x-4. With this problem, we square both sides right away. That gives us x=0, but plug 0 back into the original equation. Doing so gives us the square root of -4, which is not possible with real numbers, only with imaginary numbers.

Answer:

Step-by-step explanation:

You want the measures of the named angles in the given figure, given c=30°.

A right angle is 90°.

A linear pair totals 180°.

Vertical angles are congruent.

Angles that make up a right angle total 90°.

Angle 'a' is marked as a right angle, so a = 90°.

Angle b is complementary to angle c, so is ...

  b + c = 90°

  b = 90° -c = 90° -30° = 60°

Angle c is given as 30°.

Angle d is part of a linear pair with angle c, so is ...

  d = 180° -30° = 150°

Angle e is a vertical angle with respect to angle c, so is congruent to it.

  e = 30°

He needs to buy 7 bags of fertilizer to fertilize the garden

The radius of the garden = 10 feet

The area of the garden A = π × [tex]r^2[/tex]

Where A is the area of the garden

r is the radius of the garden

Substitute the values in the equation

A = π × [tex]10^2[/tex]

= π × 100

= 314.16 feet square

Each bag of fertilizer covers 50 square feet

Then the number of bags required to fertilize the garden = The area of the garden / 50

Substitute the values in the equation

= 314.16 / 50

= 6.28

≈ 7 bags

Hence, he need to buy 7 bags of fertilizer to fertilize the garden

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Explanation:

The equation y = 3x-1 is in slope-intercept form y = mx+b

Parallel lines have equal slopes, but different y intercepts.

The answer will also have a slope of m = 3.

Plug that slope value, and the coordinates of the given point [tex](x_1,y_1) = (1,5)[/tex] , into the point-slope formula below.

Solve for y.

[tex]y - y_1 = m(x - x_1)\\\\y - 5 = 3(x - 1)\\\\y - 5 = 3x - 3\\\\y = 3x - 3+5\\\\y = 3x + 2\\\\[/tex]

That's how we arrive at the answer of y = 3x+2

As a check, plugging x = 1 into that answer should get us y = 5.

It confirms that the point (1,5) is on this line.

Answer:

supplementary angles

Step-by-step explanation:

1.) angle 1& angle 2 is supple. angle 2 & and angle 3 is supple.; given

2.) measure of angle 1+ measure of angle 2= 180, measure of angle 2+ measure of angle 3=180; Def. of Supple.

3.) measure of angle 1+ measure of angle 2 = measure of angle 2+measure of angle 3; Transitive

4.) measure of angle 1= measure of angle 3; Subtraction prop. of equality

5.) measure of angle 1 is congruent to measure of angle 3; Def. of Congruence

The statement that shows the correct relationship between production cost and the number of golf balls produced is that the minimum production cost of 17.5 occurs when 35 golf balls are produced.

A quadratic equation is the second-order degree algebraic expression in a variable. the standard form of this expression is  ax² + bx + c = 0 where a. b are coefficients and x is the variable and c is a constant.

Then the minimum is represented by the formula;

c - b² / 4a

We have given equation C(x) = 0.1x² - 7x + 140

a = 0.1

b = -7

c = 140

Now plugging in values to c - b² / 2a

= 140 - 7² / (4 * 0.1)

=  17.5

The minimum production cost will be; 17.5

Now plugging 35 into the given equation;

C(x) = 0.1x² - 7x + 140

C(x) = 0.1 ( 35)² - 7 (35) + 140

C(x) = 17.5

Therefore, 35 golf balls produce the minimum cost.

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Answer:

that the minimum production cost of 17.5 occurs when 35 golf balls are produced.

Step-by-step explanation:

Answer:(1)  y-intercept exists 490 and the slope is -2/3x.

(2) First, I observe the point (0,490) and plot a point there. Then utilize our slope -2/3 to compute the direction and angle the line moves by measuring 2 down and 3 to the right.

(3) The equation of the function is

The diagram illustrates how many wraps could've been sold for each number of sandwich sales to maintain the identical earnings of $1,470.

(4) The graph of the equation is shown below.

(5) The profits exist the same (slope) but the y-intercept is more increased than the actual diagram.

(6) The equation is

Step-by-step explanation:

(1)

slope-intercept form of a linear equation is where one side includes only "y".

⇒

⇒

Therefore,

.

Hence, the y-intercept exists at 490 and the slope is -2/3x.

(2)  

I would graph this line using the slope-intercept method First, I observe the point (0,490) and plot a point there. Then utilize our slope -2/3 to compute the direction and angle the line moves by measuring 2 down and 3 to the right.

(3)

The equation of the function is. The diagram illustrates how many wraps could've been sold for each number of sandwich sales to maintain the identical earnings of $1,470.

(4)

The graph of the function is shown below,

(5)

Therefore,

The profits exist the same (slope) but the y-intercept is more increased than the actual diagram.

(6)

y intercept= 300

The equation will be,

The probability that the proportion of Rolls Royce owners in a sample of 694 Americans would differ from the population proportion by less than 3% is; 0.36%

The Central Limit Theorem states that, for a normally distributed random variable X, with mean μ and standard deviation σ, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean μ and standard deviation s = σ/√n

The standard deviation for proportion is given by the formula;

s = √(p(1 - p)/n)

We are given;

p = 8% = 0.08

n = 694

Thus;

s = √(0.08(1 - 0.08)/694)

s = 0.0103

Proportion above 8% + 3% = 11% or below 8% - 3% = 5%. Due to the fact that the normal distribution is symmetric, the probabilities will be equal, and as a result, we find one of them and multiply by 2.

Probability the proportion is less than 5%:

P-value of Z when X = 0.05.

z = (X - μ)/s

z = (0.05 - 0.08)/0.0103

z = -2.91

From p-value from z-score calculator, we have;

p-value = 0.001807

We multiply it by 2 to get the probability

Probability = 2 * 0.001807 = 0.0036 = 0.36%

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The time that initial investment be doubles is 20 year.

What is compound interest?

Compound interest is the addition of interest to the principal sum of a loan or deposit, or in other words, interest on principal plus interest. It is the result of reinvesting interest, or adding it to the loaned capital rather than paying it out, or requiring payment from borrower, so that interest in the next period is then earned on the principal sum plus previously accumulated interest.

Compound interest = principal (1+r/100)^n

compound interest = 3800.

3800 = 1900(1+3.5%)^n

3800/1900 = 1.035^n

taking natural log

ln(2) = n ln(1.035)

n = ln(2)/ln(1.035)

n = 20.15

Hence, time is 20 years.

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Answer:

40

Step-by-step explanation:

2 x 10⁷/5 x 10⁵ = 2/5 x 10^5-7 = 2/5 x 10² = 2 x 100/5

There were 40 times more white-tailed deer in 2000 than in 1905