One gallon of paint covers 50 square feet. A wall that measures 32 feet by 16 feet is going to be painted.

Area of Wall:


How many gallons of paint will it take?


If paint costs $27 per gallon, how much money will it take to paint the wall?

Answer:

12

Step-by-step explanation:

-3(b - 5) + 7a - (9 - a) ^6                   a = 7 and b = -4

-3(-4 - 5) + 7(7) - (9 - 7)^6

= -3(-9) + 49 - (2)^6

= 27 + 49 - (64)

= 27 + 49 - 64

= 76 - 64

= 12      

The slopes and y-intercept of a graph are two key components of the equation that describes the relationship between two variables.

The slope of a graph is the measure of how steeply the line is rising or falling. It is calculated by dividing the change in the y-axis by the change in the x-axis between two points on the line. A positive slope indicates that the line is rising, while a negative slope indicates that the line is falling.

The y-intercept of a graph is the point where the line crosses the y-axis. It is the value of y when x=0. The y-intercept is a fixed point on the line and is used to help determine the equation of the line.

Together, the slope and y-intercept of a graph can be used to write an equation in slope-intercept form, which is y=mx+b, where m is the slope and b is the y-intercept.

Answer: 5

Step-by-step explanation:

10 + 7h = 45

-10         -10

     7h = 35

divide by 7 to both sides

        h = 5

Kaylie earned $693 in interest on her savings account.

Kaylie deposited $900 in a savings account and earned 11% interest on it for 7 years. After the 7-year period, Kaylie earned $693 in interest, which was compounded annually.

This brought the total amount of money in her savings account to $1,593. The power of compounding interest in savings accounts can help grow your money significantly over time.

Learn more about Compound Interest

brainly.com/question/30393144

#SPJ11

Answer:

30%

Step-by-step explanation:

If there are only 2 categories:

Students at lunch and students studying, then the whole is 100%

100% - 70% = 30%

Helping in the name of Jesus.

The statement "It is rigid because all side lengths and angles are congruent" is true.

In mathematics, a transformation is considered rigid if it preserves distances and angles. For example, a translation, rotation, or reflection is a rigid transformation because it preserves distances and angles. If a transformation preserves side lengths and angles, then it is considered rigid, regardless of whether the side lengths and angles are congruent or not.

Answer: A. it is rigid because all side lengths and angles are congruent.

Step-by-step explanation: RIGHT ON EDGE 2023

55 cubes I think because in the end you have to like divide it 2 times.

Answer: 110 cubes

Step-by-step explanation:

    First, we will find the volume of this prism.

V = LWH

V = (2.75 cm)(0.5 cm)(1.25 cm)

V = 1.71875 cm³

    Next, we will find the volume of the cube.

V = L³

V = (0.25 cm)³

V = 0.015625 cm³

    Next, we will divide the prism's volume by the cube's volume.

1.71875 cm³ / 0.015625 cm³ = 110 cubes

Answer:

3 / (7-5)

Step-by-step explanation:

"Subtract 5 from 7"

When you're subtracting from something, the reverse the order of the numbers.  So, the expression here would be "7 - 5"

"Then, divide 3 by the result."

Here, you're dividing 3 by the result, so the 3 must be in the numerator (on top of the fraction), and the "result from the previous step must be in the denominator (on the bottom of the fraction).  So, the expression here would be "3 / result"

Since order of operations forces division to happen before subtraction, we'll need parentheses around the first result to force the subtraction to happen first, as instructed.

So, the final expression would be "3 / (7-5)"

From the given data 11 is the mean of the data set.

What is Mean ?

In statistics, the mean (also called the average) is a measure of central tendency that represents the typical value in a data set. It is calculated by adding up all the values in the data set and dividing by the number of values.

To find the value of x in the data set, we can use the formula for the mean (also called the average). The mean is calculated by adding up all the values in the data set and dividing by the number of values. In other words:

mean = (sum of all values) : (number of values)

We are given that the mean of the data set is 11, so we can write:

11 = (12 + 9 + 12.5 + 13 + x + 10 + 11 + 11 + 7 + 9) : 10

Here, we have 10 values in the data set (including the unknown value x), so we divide the sum of all the values by 10 to find the mean.

To solve for x, we can start by simplifying the right-hand side of the equation:

110 = 75.5 + x

Next, we can isolate x by subtracting 75.5 from both sides:

x = 34.5

Therefore, the value of x that makes the mean of the data set equal to 11 is x = 34.5.

In other words, if we replace the unknown value x with 34.5, the resulting data set will have a mean of 11. This means that the sum of all the values in the data set will be 110, since:

12 + 9 + 12.5 + 13 + 34.5 + 10 + 11 + 11 + 7 + 9 = 110

And when we divide this sum by 10, we get:

110 : 10 = 11

Therefore, From the given data 11 is the mean of the data set.

To learn more about Mean from given link.

https://brainly.com/question/21533310

#SPJ1

The equation for the line that passes through the point ( 3,-1/2) and is perpendicular to the line y =-2x+3 is:

y = (1/2)*x - 2

Remember that two linear equations are perpendicular if the product between the slopes is -1, here we want a line perpendicular to:

y =-2x+3

Then if the slope of our line is a, we must have that:

a*-2 = -1

a = 1/2

Then our line is something like:

y = (1/2)x + b

Now we also want our line to pass through (3, -1/2), then:

-1/2 = (1/2)*3 + b

-1/2 = 3/2 + b

-1/2 - 3/2 = b

-2 = b

The linear equation is:

y = (1/2)*x - 2

Learn more about linear equations at:

https://brainly.com/question/1884491

#SPJ1

The amount of milk left is given by A = 1.150 Liters of milk = 1150 mL

Given data ,

Let the total amount of milk be = 2 Liters = 2000 mL

Now , Tom gave Kevin 350 ml and Sold 500mL to Bob

So , the remaining amount of milk is given by A

where A = total amount of milk - 350mL - 500mL

On simplifying the equation , we get

A = 2000 - 350 - 500

A = 1150 mL

Hence , the amount of milk left is 1150 mL

To learn more about equations click :

https://brainly.com/question/19297665

#SPJ1

The cost for an adult is reduced by approximately 26.33% to $22.10.

The original cost for an adult ticket (X) = $30

The reduced cost for an adult ticket = $22.10

We need to find the percentage decrease (p) from the original cost to the reduced cost:

p = ((Original cost - Reduced cost) / Original cost) * 100

p = (($30 - $22.10) / $30) * 100

p = ($7.90 / $30) * 100

p ≈ 26.33 %

The fee for an adult has notably decreased by approximately 26.33%, now costing a mere $22.10.

Read more about cost here:

https://brainly.com/question/28147009

#SPJ1

In May, the cost for a child is not changed. The cost for an adult is reduced by p % to $22.10. If the original cost of an adult ticket is $X, (i) calculate p, given that the original cost for an adult ticket is $30.

The line passes through the same point on figure A and D.

From the figure, we have the original shape to be figure E

The center point of figure E is the origin

This means that a line drawn from the origin that passes through point A must pass through the same point on the shape

From the figure, the line passes through the same point on figure A and D.

Learn more about dilation here:

brainly.com/question/3457976

#SPJ1

Answer:

4/5

Step-by-step explanation:

In probability, if there are two events and "or" is used, we will add the probabilities of each event. Since the event that an odd number is spun does not affect whether a red number is spun, we can calculate the probability of each event separately:

Probability of spinning an odd number:

5/10        because there are 5 odd numbers possible & 10 outcomes

Probability of spinning a red number:

3/10        because there are 3 red numbers & 10 outcomes

Now add the probability of each event:

5/10 + 3/10 = 8/10 = 4/5

Answer:

Let's solve this problem using algebra. Let x be the cost of one orange and y be the cost of one apple. Then we have the system of equations:

12x + 7y = 5.36

8x + 5y = 3.68

To solve for x and y, we can use elimination. Multiplying the second equation by 3 and subtracting it from the first equation multiplied by 5, we get:

(5*12 - 7*8)x + (5*7 - 3*5)y = 26.8 - 11.04

20x = 15.76

x = 0.788

Substituting x back into one of the equations, we can solve for y:

12(0.788) + 7y = 5.36

y = 0.308

Therefore, one orange costs $0.788 and one apple costs $0.308.

Answer:

The answer to your problem is:

The radius of circle F is 28.

Circle F and circle D are similar.

Step-by-step explanation:

How to find the radius:

A = π × [tex]r^{2}[/tex]

But the radius of a circle from diameter. If you can recall the diameter d, the radius is r = d / 2.

By looking at our facts we can actually see ( if we use the comparing method ) that the circles, F & D are very much similar.

Thus the answer to your problem is:

The radius of circle F is 28.

Circle F and circle D are similar.

The option that can be true for the function g(x) is C; g(-13) = 20

Here we know that the function g(x) has:

The domain ---> -20 ≤ x ≤ 5

The range --->  -5 ≤ g(x) ≤ 45

And g(0) = -2

       g(-9) = 6

There are two statements that could be true:

g(-13) = 20, because -13 belongs to the domain and 20 belongs to the range.

g(0) = 2  could also be true.

Now, we can see that g(-9) > g(0), then as x becomes smaller, g increases, then the option that seems to be correct is g(-13) = 20

Learn more about domain and range:

https://brainly.com/question/10197594

#SPJ1

The height of the flagpole is 26.0 feet.

Height is the vertical distance between two points.

To calculate the height of the flagpole, we use the formula below.

Formula:

Where:

From the question,

Given:

Substitute these values into equation 1

Learn more about height here: https://brainly.com/question/12446886

#SPJ1

Answer:

I guess you need the value of (x) if that's so then

x= -4

Step-by-step explanation:

A polynomial whose GCF is 2x is 2x(x² + 2x + 3), a polynomial with a factor of (x + 1) is x = (-1 ± sqrt(-3))/2, a polynomial with a factor of (2y - 3x) is -3x(2y² + 1) + 5, a polynomial that is a difference of perfect squares is (4x + 3y)(4x - 3y), and a trinomial with a factor of (y + 4) and a GCF of 3y is (3y + 4x)(y + 4).

1. To create a polynomial whose GCF is 2x, we can start by choosing two terms that have 2x as a common factor. For example, 2x³ and 4x². To make it a polynomial, we can add another term, say 6x. The polynomial in standard form is:

2x³ + 4x² + 6x

To write it in factored form, we can factor out 2x from all terms:

2x(x² + 2x + 3)

2. To create a polynomial with a factor of (x + 1), we can start by choosing two terms that multiply to x², such as x and x. To make it a trinomial with (x + 1) as a factor, we can add another term, such as 1. The polynomial in standard form is:

x² + x + 1

To write it in factored form, we can use the quadratic formula to find the roots:

x = (-1 ± sqrt(1 - 4))/2

x = (-1 ± sqrt(-3))/2

Since the roots are complex, the polynomial cannot be factored further over the real numbers.

3. To create a polynomial with a factor of (2y - 3x), we can start by multiplying two terms that have 2y and 3x as coefficients, respectively. For example, 2y² and -3x. To make it a polynomial, we can add another term, say 5. The polynomial in standard form is:

-6xy² - 3x + 5

To write it in factored form, we can factor out -3x from the first two terms:

-3x(2y² + 1) + 5

4. To create a polynomial that is a difference of perfect squares, we can start by choosing two terms that are perfect squares and have a subtraction sign between them. For example, 16x² and 9y². The polynomial in standard form is:

16x² - 9y²

To write it in factored form, we can use the difference of squares formula:

(4x + 3y)(4x - 3y)

5. To create a trinomial with a factor of (y + 4) and a GCF of 3y, we can start by multiplying two terms that have 3y as a common factor. For example, 3y and 4x. To make it a trinomial with (y + 4) as a factor, we can add another term, say 12. The polynomial in standard form is:

12y + 3y² + 12 + 4xy

To write it in factored form, we can factor out the GCF 3y from the first two terms and factor out (y + 4) from the last two terms:

3y(y + 4) + 4x(y + 4)

(3y + 4x)(y + 4)

Know more about polynomial here:

https://brainly.com/question/20121808

#SPJ11

Answer: 72

Step-by-step explanation:

Q is same as M = 72

N=36

L=x

All 3 angles of a triangle add to 180

72+36+x=180

x=72

The percentage of the family's income that is spent on food is 25%.

Firstly, noting down the family's monthly spend on food ($550) and their total monthly income ($2,200).

Next, dividing the amount spent on food by the total income to find the ratio of the spend to income: $550 / $2,200.

Now, calculating this division: 550 ÷ 2,200 = 0.25.

Finally, finding the percentage, multiply the ratio (0.25) by 100: 0.25 x 100 = 25%.

So, the family spends 25% of their monthly income on food.

To learn more about percentage:

#SPJ11

The odds in favor of the event are 1.

The probability of an event is the ratio between the total number of favorable outcomes and the total number of outcomes.

The odds in favor of an event are the ratio of the total number of favorable outcomes and the total number of unfavorable outcomes. If the probability of the event is given, we can find the odds in favor by using the formula of odds in favor:

odds in favor = probability of event/probability of not event

In this case question, the probability of an event is given as 0.5 which means that the total number of favorable outcomes is 50 out of 100

So the probability of not having an event is also 0.5 (the other half of the part.)

So, odds in favor = 0.5/0.5 = 1

The probability of the happening of an event is the same as the probability of not happening of an event. This means that the odds in favor of the event are 1 to 1, or simply 1.

Therefore,  the odds in favor of the event are 1.

Learn more about Probability at:

https://brainly.com/question/25870256

#SPJ4

Answer:

  See attached

Step-by-step explanation:

You want a graph with points plotted at (4, 6) and (7, 2), representing a sand trap and a water hazard, respectively.

The ordered pair (4, 6) represents the coordinates (x, y). The x-coordinate is the number of units right of the point x=0, and the y-coordinate is the number of units up from y=0.

Both points have positive coordinates for both x and y, so will be located up and right from the origin. The plot is shown in the attachment.

<951414049393>

The expected cost of Bob's lunch is $8.75.

To find the expected cost of Bob's lunch, we need to determine the probability that Bob and Anna will meet at Sally's Restaurant at the same time.

There are 4 possible times for Bob and Anna to choose from: 1 PM, 2 PM, 3 PM, and 4 PM. Since they are choosing randomly, the probability of them both choosing the same time is 1/4 (one out of four choices).

Now we can calculate the expected cost of Bob's lunch. If they meet successfully, Bob's lunch will cost $5. If they do not meet, Bob's lunch will cost $10. We can find the expected cost by multiplying the probability of each outcome by its corresponding cost, and then adding these products together.

Expected cost = (Probability of meeting) * (Cost if they meet) + (Probability of not meeting) * (Cost if they don't meet)

Expected cost = (1/4) * $5 + (3/4) * $10

Expected cost = $1.25 + $7.50

Expected cost = $8.75

The expected cost of Bob's lunch is $8.75.

To know more about cost refer here:

https://brainly.com/question/30045916

#SPJ11

The next time they will coincide is on November 21. when Lorena uses a social network every 8 days, Luis logs in every 6 days, and his sister and Alexa log in every 10 days.

To find the time when all three coincided, we need to find the least common multiple (LCM) of 6, 8, and 10. The LCM of 6, 8, and 10 is given as,

6 8 10 | 2

3  4  5 | 3

1   4  5 | 4

1   1  5 | 5

1   1   1

LCM = 2 × 3 × 4 × 5 = 120

if they coincided on July 24, To find the time when all three coincided we need to add 120 days to July 24 to find the next time they will coincide.  if we add 120 days to July 24 we will get the result as November 21.

Therefore, The next time they will coincide is on November 21.

To learn more about least common multiple (LCM):

https://brainly.com/question/29635300

#SPJ4

The question is,

Lorena is a student who uses a social network every 8 days. His friend Luis logs in every 6 days and his sister Alexa logs in every 10 days. If they coincided with their visit to this social network on July 24 when will they coincide next time?

Answer:

x - 5y

Step-by-step explanation:

6x - 8y - 5x + 3y =

= 6x - 5x - 8y + 3y

= x - 5y

Answer:

1x + 11y

Step-by-step explanation:

To construct a confidence interval for the population proportion of Americans over 40 who smoke, we can use the formula:

Confidence Interval = Sample Proportion ± (Critical Value) x Standard Error

where the sample proportion is the number of individuals who don't smoke divided by the total sample size (806/1089), the critical value can be found using a normal distribution table or calculator with the given confidence level (85%), and the standard error can be calculated using the formula:

Standard Error = √[ (Sample Proportion x (1 - Sample Proportion)) / Sample Size ]

Plugging in the given values, we get:

Sample Proportion = 806/1089 = 0.740
Sample Size = 1089
Standard Error = √[(0.740 x 0.260) / 1089] = 0.016
Critical Value (using a normal distribution table or calculator) = 1.440

Therefore, the 85% confidence interval for the population proportion of Americans over 40 who smoke is:

0.740 ± (1.440 x 0.016) = 0.740 ± 0.023

Rounding to three decimal places, the confidence interval is (0.717, 0.763). This means that we can be 85% confident that the true proportion of Americans over 40 who smoke falls between 71.7% and 76.3%.

To know more about Standard Error:

https://brainly.com/question/1191244

#SPJ11