A painter made the table below to show the amount of paint it takes to cover a certain amount of square feet. The amount of paint varies directly with the area of each wall.

Amount of Paint and Size of Wall
Area of wall feet squared, x
64
144
400
Amount of paint (pints), y
4
9
25

How much paint should the painter expect to use to paint a wall with an area of 256 square feet?

Answer:

5/12

Step-by-step explanation:

5/6 of 1/2 is basically 5/6 times 1/12 which is 5/12.

Answer:

a  [2, -4, -6, -2]

Step-by-step explanation:

The calculated value of the matrix Y is : Y = [tex]\left[\begin{array}{ccc}2&-4\\-2&-6\end{array}\right][/tex]

In mathematics, a matrix is a rectangular array or table of numbers, symbols, or expressions, arranged in rows and columns, which is used to represent a mathematical object or a property of such an object.

Here, we have,

Calculating the matrix Y

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

Given that

X - 2Y = Z

So, we have

b - 2c = a

a - 2d = c

4 - 2a = 16

a - 2b = b

So, we have

4 - 2a = 16

-2a = 12

a = -6

Next, we have

a - 2b = b

-6 - 2b = b

3b = -6

b = -2

Next, we have

b - 2c = a

-2 - 2c = -6

-2c = -4

c = 2

Lastly. we have

a - 2d = c

-6 - 2d = 2

-2d = 8

d = -4

The matrix Y is given as: Y =[c d a b]

So, we have

Y = [tex]\left[\begin{array}{ccc}2&-4\\-2&-6\end{array}\right][/tex]

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Step-by-step explanation:

the determinant of A is A

9514 1404 393

Answer:

Step-by-step explanation:

If u represents the desired usage rate, then the proportion is ...

  km/liters = ...

  u/100 = 1350/120

  u = 100(1350/120) = 1125 . . . . km/100 L — first vehicle

and ...

  u/100 = 940/88

  u = 100(940/88) = 1068.2 . . . . km/100 L — second vehicle

Answer:

C

Step-by-step explanation:

Givens

Total Cost = 400 dollars.

Time Taken = 16 hours

Hourly rate = ?

Formula

Hourly Rate = Total Cost / Number of hours

Solution

Hourly Rate = 400 / 16

Hourly Rate = 25

Answer:

57.5$

Step-by-step explanation:

5$ a pound, 11.5 pounds, multiply them and you get 57.5$

Answer:

45

Step-by-step explanation:

Answer: 187.5 gallons of gas

Step-by-step explanation:

He travels 30000 miles per year, and each gallon lets him travel 16 miles. Divide 30000 by 16 to get the amount of gas he uses in a year, which amounts to 187.5 gallons of gas.

Answer:

17 nickels

8 dimes

Step-by-step explanation:

n + d = 25

.05n + .10d = 1.65

use substitution:  n = 25-d

.05(25-d) + .10d = 1.65

1.25 - .05d + .10d = 1.65

.05d = .40

d = 8    ∴ n = 17

Answer:

the volume of the cone is about 56.52

Step-by-step explanation:

the formula for the volume of the cone is πr^2(h/3), so if you plug in the numbers, you'll get about 56.52

Answer:

y=5x+1

Step-by-step explanation:

5(1)+1=6

5(2)+1=11

Step-by-step explanation:

We can see that in the table the difference between the numbers is 5.

So...

y=5x+1...

Answer:

Step-by-step explanation:

if both tours start at 8:30 A.M, the NC (National Capitol) 8:45, and the WH (White House) leaves at 8:50.

NC

08:45                     08:50

09:00                     09:10

09:15                      09:30

09:30                     09:50          

09:45                     10:10  

10:00                      10:30    

10:15                       10:50    

10:30                       11:10  

10:45                        

11:00                    

Both tours leave at 9:30, and then away at 10:30.

They leave at the same time every hour.

Answer:

1. 14

2. 17.5

3. 60

4. 238

5. 91.4375

6. 58.065

Step-by-step explanation:

Sorry, I'm only doing 6, GOOD LUCK!!!

Answer:

2.5

Step-by-step explanation:

Answer:

Find 0% of 60: 0

Find 100% of 60: 60

Find 50% of 60: 30  

Find 25% of 60: 15

Find 75% of 60: 45

Step-by-step explanation:

Answer:

3 equivalent ratios are: [tex]\frac{62.5}{12.5}, \frac{625}{125}, 5[/tex]

Step-by-step explanation:

Ratio of a to b:

The ratio of a to b is given by:

[tex]\frac{a}{b}[/tex]

Finding equivalent ratios:

To find equivalent ratios, we multiply or divide both a and b by the same value.

6.25 to 1.25

[tex]\frac{6.25}{1.25}*\frac{10}{10} = \frac{6.25*10}{1.25*10} = \frac{62.5}{12.5}[/tex]

[tex]\frac{6.25}{1.25}*\frac{100}{100} = \frac{6.25*100}{1.25*100} = \frac{625}{125}[/tex]

[tex]\frac{\frac{6.25}{1.25}}{{\frac{1.25}{1.25}}} = 5[/tex]

3 equivalent ratios are: [tex]\frac{62.5}{12.5}, \frac{625}{125}, 5[/tex]

Answer:

x = 18

Step-by-step explanation:

All triangle angles add up to 180 so:

x + 5x + 72 = 180

6x + 72 = 180

6x = 180 - 72

6x = 108

x = 18

Answer:

21.6

Step-by-step explanation:

5x+72=180 (set it to 180 because the total angle sum of a triangle is 180)

5x=108

x=21.6

Answer:

I think its 5x²-27x+10

Step-by-step explanation:

Area of trapezium:

a+b/2× h

So substitute into the formula:

4x - 1 + 6x - 3 /2 × (x - 5)

1. 4x - 1 + 6x - 3 (collect all like terms)

4x + 6x + -1 -3 = 10x - 4

2. 10x - 4 / 2

= 5x - 2

3. 5x - 2 × x - 5

Use FOIL:

5x ² - 25x - 2x + 10

= 5x ² - 27x +10

Answer:

90pi

Step-by-step explanation:

SA = pi r l +B

we know the radius is 5

We need to find the slant height using the Pythagorean theorem

a^2+b^2 = c^2

5^2+12^2 = l^2

25+144= l^2

169 = l^2

Taking the square root of each side

sqrt(169) = sqrt(l^2)

13 = l

B is the area of the base

B = pi r^2 = pi (5)^2 = 25 pi

SA = pi r l +B  = pi (5)*13 + 25pi

                       =65pi +25pi = 90pi

Answer:

90 pi

Step-by-step explanation:

Just in case the other answer was confusing. Just put it in, and it marked it right. 90 is the answer

SA= 90

Answer:

5

Step-by-step explanation:

5y+155=180

5y=180-155=25

y=5

5y+13x=90

13x=90-25=65

x=5°

Answer:

8x+2

6a+6b

I hope these are okay, and what you were asking for. I hope this helped! +*♡

Answer A. 17

Step-by-step explanation: The cost, in dollars is increasing by $1.05 by 1’s. To get from 1.05 to 2.10 is 1.05. So to find the Gallons of Gas, you would keep adding 1.05 until you get 17.85 or you can multiply the numbers in the answer choice by 1.05 to get your answer.

Answer:

3÷1/6

Step-by-step explanation:

here is your answer. If it helps don't forget to like and Mark me

Answer:

12209034563 will be your answer.

Step-by-step explanation:

just add it.

Answer:

WAT TIME IS IT? IT TIME 2 USE DA CALCULATOR.

12209034563

more info can be giving on usecalculator.com

Step-by-step explanation:

Answer:

1. x=34

2. c=8

3. x=9

4. m=32

That the answer for all 4.

Step-by-step explanation: Hope this help :D

True because all properties are preserved under dilation from triangle ABC to A'B'C'.

We have given a triangle ABC is dilated by a factor of 2/3 , result triangle A'B'C'

We have to determine after dilation,  the properties of triangle ABC and A'B'C' is true or false.

A transformation is a process that manipulates a polygon or other two-dimensional object on a plane or coordinate system.

Dilation of a triangle are results in either decreases or increases in the corresponding length of the triangle, it depends on by which scale factor triangle is dilated ,and dilation does not affect the angle measures of the triangle.

here scale factor is 2/3 so the corresponding sides of the triangle A'B'C' decreases.

So, the dilation of the triangle is not congruent but similar to the original triangle ABC

Therefore, the basic properties of triangles are preserved under the dilation of triangle by a scale factor.

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Answer:

Step-by-step explanation:

The answer is FALSE for the first one AB and A'B' are on the same line.

and TRUE for the second one The measures of B and B' are equal.

Answer:

18 and 19

Step-by-step explanation:

Answer:

18 and 19

Step-by-step explanation:

root 350 is 18.71

so in between 18 and 19