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Oksi-84 [34.3K]
4 years ago
9

A gallon of paint can cover 400 square feet. To the nearest half gallon, find how much paint will be needed to paint two coats o

n the walls and ceiling of a room that is 20 feet long, 18 feet wide, and 8 feet high. Please do NOT include units, enter a number to the nearest half. Examples, 7, 7.5, 8, 8.5...
Mathematics
1 answer:
morpeh [17]4 years ago
6 0
You'll need to calculate the surface area to be painted.  The room has two ends, 2 sides and 1 ceiling.  The area of the ceiling is 18*20.  The area of the two ends of the room is 2(8*18).  The area of the two long walls is 2(8*20)

Add these areas together:  18*20 + 2*8*18 + 2*8*20, or 968.

That's 968 square feet.  Since each can contains enough paint for 400 square feet of coverage, divide 968 by 400:

968
----- = 2.42.  This means having to purchase 2.5              (gallons)
400              This answer is accurate to the nearest 0.5.
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a given parabola has an x-intercept at (12,0), and a vertex at (2,-25). What would be the other x-intercept.
Alex17521 [72]
The other x-intercept is located at (-8,0). This is because the vertex is ALWAYS the midpoint between the two x-intercepts. The x coordinate of the vertex is 2. The distance between the vertex and the known x-intercept is 10 units. So go 10 units to the left now, which lands at x = -8
5 0
3 years ago
I'm confuse with these questions
alexdok [17]

8 a) y=x² stretched vertically by 8

That means (0,0) stays (0,0),  and (1,1) becomes (1,8) and (-1,1) becomes (-1,8)

Answer: y = 8x²

8 b) y=x² compressed vertically by 1/5

Answer: y = (1/5) x²

9.

y = ax² + k through (-1,3) and (3,-13)

That means

3 = a (-1)² + k

-13 = a (3²) + k

Subtracting,

16 = a - 9a = -8a

a = -2

3 = -2 + k

k = 5

y = -2x² + 5

Check:

-2(-1)^2 + 5 = 3, good

-2(3)^2+5 = -18 + 5 = -13, good

Answer: a = -2, k = 5


3 0
4 years ago
Estimate the sum and differences.<br>49+22.88
WINSTONCH [101]

Answer:

So sum 49+22.88=71.88

Difference is 49-22.88=26.12

Step-by-step explanation:

7 0
3 years ago
Write a system of linear equations that has the ordered pair (1,4) as it's solition
Lemur [1.5K]

The required system of equations is x+y=5\\x-y=-3

Step-by-step explanation:

We need to write a system of linear equations that has the ordered pair (1,4) as it's solution.

It means we need to find  system of linear equations, which after being solved gives x=1 and y=4

Let the system of equations be:

x+y=5\\x-y=-3

I have made equations such that adding x+y gives 5 i,e (1+4=5) and subtracting x-y gives -3 (1-4=-3)

Now solving this system of equations to find value of x:

x+y=5\,\,eq(1)\\x-y=-3\,\,eq(2)

Adding eq(1) and eq(2)

x+y=5\\x-y=-3\\-----\\2x=2\\x=1

Putting value of x=1 into eq(1) to find value of y

x+y=5\\1+y=5\\y=5-1\\y=4

The solution set after solving system of equations is (1,4).

The required system of equations is x+y=5\\x-y=-3

Keywords: System of equations

Learn more about system of equations at:

  • brainly.com/question/9045597
  • brainly.com/question/3739260
  • brainly.com/question/13168205

#learnwithBrainly

7 0
3 years ago
Solve the following<br> 7(-2x+4)=-4x<br> PLS TELL ME QUICKLY
Misha Larkins [42]

Answer:

x = 2.8

Step-by-step explanation:

7\left(-2x+4\right)=-4x

-14x+28=-4x

\mathrm{Subtract\:}28\mathrm{\:from\:both\:sides}

-14x+28-28=-4x-28

\mathrm{Simplify}

-14x=-4x-28

\mathrm{Add\:}4x\mathrm{\:to\:both\:sides}

-14x+4x=-4x-28+4x

\mathrm{Simplify}

-10x=-28

\mathrm{Divide\:both\:sides\:by\:}-10

\frac{-10x}{-10}=\frac{-28}{-10}

x=\frac{14}{5}

x=2.8

[RevyBreeze]

3 0
3 years ago
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