Frost used 4 2/3 gallons of paint to paint 1 2/5 of a shed how many gallons of paint will it take to paint a whole shed?

9514 1404 393

Explanation:

We can start with the relations ...

  [tex]\displaystyle\left(x+\frac{1}{x}\right)^3=\left(x^3+\frac{1}{x^3}\right)+3\left(x+\frac{1}{x}\right)\\\\\left(x+\frac{1}{x}\right)^5=\left(x^5+\frac{1}{x^5}\right)+5\left(x^3+\frac{1}{x^3}\right)+10\left(x+\frac{1}{x}\right)\\\\\textsf{From these, we can derive ...}\\\\x^5+\frac{1}{x^5}=\left(x+\frac{1}{x}\right)^5-5\left(\left(x+\frac{1}{x}\right)^3-3\left(x+\frac{1}{x}\right)\right)-10\left(x+\frac{1}{x}\right)[/tex]

  [tex]\displaystyle x^5+\frac{1}{x^5}=\left(x+\frac{1}{x}\right)^5-5\left(x+\frac{1}{x}\right)^3+5\left(x+\frac{1}{x}\right)\right)\\\\x^5+\frac{1}{x^5}=3^5 -5(3^3)+5(3)\\\\=((3^2-5)3^2+5)\cdot3=(4\cdot9+5)\cdot3=(41)(3)\\\\=\boxed{123}[/tex]

Answer: 832

Step-by-step explanation:

-13-4x=x+7

+13         +13

-4x=x+20

-x    -x

-5x=20

/-5   /-5

x=-4

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hope it helps

Answer:

it's option A .............

Answer:

8/9

Step-by-step explanation:

Repeating. Just do 8 divide by 9

Answer: 35 inches.

Step-by-step explanation:

We know that:

hypotenuse = 5*y in

cathetus 1 = (x + 8) in

cathetus 2 = (x + 3) in

The perimeter of the triangle is 76 inches, then:

5*y + (x + 8) + (x + 3) = 76

5*y + 2*x + 13 = 76

We also know that the length of the hypotenuse minus the length of the shorter leg is 17 in.

The shorter leg is x + 3, then:

5*y - (x + 3) = 17

Then we have the equations:

5*y + 2*x + 11 = 76

5*y - (x + 3) = 17

With only these two we can solve the system, first we need to isolate one of the variables in one of the equations, i will isolate x in the second equation.

x = 5*y  - 3 - 17 = 5*y - 20

x = 5*y - 20

Now we can replace this in the other equation, we get:

5*y + 2*x + 11 = 76

5*y + 2*(5*y - 20) + 11 = 76

15*y - 40 + 13 = 76

15*y - 29 = 76

15*y = 76 + 29 = 105

and remember that the hypotenuse is equal to 5*y, then we want to get:

3*(5*y) = 105

5*y = 105/3 = 35

5*y = 35

Then te length of the hypotenuse is 35 inches.

Answer:

x=1/3

Step-by-step explanation:

Factor out 5^3x

5^3x(1-1/5)=4

Combine the fractions

5^3x(4/5)=4

Multiply both sides by 5/4

5^3x=5

Now we have the same base of 5 so we can set the exponents equal to one another (the exponent of 5 is 1)

3x=1

X=1/3

Answer:

x = -13

Step-by-step explanation:

65 + 5x = 0

65 = -5x

divide by -5

-13 = x

Answer:

x = 13

Step-by-step explanation:

You have to get x by itself

so you divide 5 by 65

Then X is by itself and your answer is 5/65

Answer:

(5)(8)(14)

Step-by-step explanation:

Answer:

PV= $100,402.86

Step-by-step explanation:

To calculate the present value, first, we need to determine the future value using the following formula:

FV= {A*[(1+i)^n-1]}/i

A= semiannual deposit

n=12*2= 24 semesters

i= 0.12/2= 0.06

FV= {8,000*[(1.06^24) - 1]} /  0.06

FV= $406,524.62

Now, the present value:

PV= FV / (1+i)^n

PV= 406,524.62 / 1.06^24

PV= $100,402.86

Answer:

y = 5

Step-by-step explanation:

ok so we dont really need to know what x is unless they ask for it but ill do it anyways

B angle and C angle are equal so...

B = 75

75 = (3x)

75 / 3 = 25

x = 25

a triangles angles equals 180 degrees

75 + 75 = 150

180 = 150 + ?

180 - 150 = 30

A = 30 degrees

4y + 10 = 30

get the y on it's own side

4y + 10 - 10 = 4y

30 - 10 = 20

4y = 20

4y / 4 = y

20 / 4 = 5

y = 5

Answer:

(-64)[tex]^{-\frac{1}{3}[/tex]

Step-by-step explanation:

Answer:

(-64)^-5/3 X (-64)^4/3 = -0.25 or -1/4.

Step-by-step explanation:

l hope that this helps! :))>

4x-y>-3

-y>-3-4x

y<3+4y

please mark me as brainlist and be

Answer:

x = 125

y = 55

Step-by-step explanation:

opposite angles in a parallelogram are equal

we also know that this is true because

(2(125)) + (2(55)) = 360

Answer:

5-(-7)=5+7

Step-by-step explanation:

keep in mind that two negatives make a positive. therefore it would be 5+7=5+7. i hope this helps :)

Answer:

1/2 ÷ 4 = 8

Step-by-step explanation:

Dividing fractions is as easy as pie. Flip the second and multiply.

1/2 ÷ 4 = 1/8

A whole number secretly has a 1 underneath, like this: 4/1

Flip the second number over to get 1/4, then multiply straight across.

[tex]\frac{1}{2}[/tex] × [tex]\frac{1}{4}[/tex] = [tex]\frac{1}{8}[/tex]

Try to do the same for the other answers and see if they're right (they're not).

1/8 x 1/6 = 1/48

1/3 x 1/4 = 1/12

1/9 x 1/2 = 1/18

Answer:

1. no solution

2. one solution

3. no solution

4. no solution

Step-by-step explanation:

Answer:

I believe it is because it is being transferred to kinetic energy

Step-by-step explanation:

As the puck falls, it loses potential energy and gains kinetic energy because it is now falling, which causes movement due to gravity. And as we know, kinetic energy is energy which a body possesses by virtue of being in motion

Answer:

z = 100°

x = 40°

Step-by-step explanation:

Triangle CBD is isosceles so there are two 50°

DBC = 50°

That means BDC = 80° because 180(sum of angles in triangle) - 50 - 50 = 80

Z = 100° bc angle of straight line is 180° and 180 - 80 = 100

Now triangle ADB is also isosceles because there are two sides of equal length

So there will be 2*x + 100 = 180

x = 40°

Answer:

Step-by-step explanation:

35² < 115² < 115³

Answer:

A

Step-by-step explanation:

3x9+ 27 + 8= 35

Answer:

m<CAB = 59

m<ACB = 59

Step-by-step explanation:

4x - 41 = 2x + 9

2x - 41 = 9

2x = 50

x = 25

m<CAB: 4x - 41

4(25) - 41

59

m<ACB: 2x + 9

2(25) + 9

59

Answer:

b = 4 inches, c = ~5.66 inches

Step-by-step explanation:

The triangle is isosceles so b is equal to the adjacent side. Use the Pythagorean theorem to find c.

Answer:

-1

you use the given functions to set up and simplify f(2)

Answer:

Look at brainly questions that are your learning about, try to figure them out then look at the answer.

Step-by-step explanation:

Answer:

What do you need help in?

Also you can search some of the questions up and see if they have an explanation or just contact your teacher for help

Answer:

The answer is Vertical

Step-by-step explanation:

Hope this helps <3

Answer:

23019 miles for hour

Step-by-step explanation:

answer

10863

hope its helps

Answer:

4(r+10) = 4

Step-by-step explanation: