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Karo-lina-s [1.5K]
3 years ago
11

If 14 gallon of paint covers 1/12 of a wall, then how many quarts of paint are needed for the entire wall?

Mathematics
2 answers:
blondinia [14]3 years ago
7 0

Answer:

4

Step-by-step explanation:

if 1/4 = 3/12 then 3/12+ 3/12+ 3/12+ 3/12

i hope i did this right

Bad White [126]3 years ago
5 0
My best guess would bee 10 pints
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1. I am a three-digit number. My tens digit is 3 more than my
Tems11 [23]

Answer:

1. 474

2. 397

Step-by-step explanation:

1. If the three-digit number is xyz, then y = z + 3.

When rounded to the nearest ten and reduced by 320, the result is 150.  150 + 320 = 470, so x = 4.  y = 6 if z ≥ 5, and y = 7 if z < 5.

So the number is either 463 or 474.  463 doesn't round to 470, so the answer is 474.

2. If the three-digit number is xyz, then z = x + 4.  y is the largest of the three digits; since all the digits are odd, y is either 5, 7, or 9.  So z is either 5 or 7, and x is either 1 or 3.

When rounded to the nearest hundred and reduced by 100, the result is 300.  100 + 300 = 400, and y > 5, so xyz is rounded up to 400, which means x = 3.  So z = 7 and y = 9.

The answer is 397.

6 0
3 years ago
Sorry, here's another one on inequalities
Yuki888 [10]

Answer:

y > 4x + 1

Step-by-step explanation:

Equation of the dotted line:

Slope = (-3-1)/(0-1) = 4

Y intercept is +1

y = 4x + 1

Shaded region:

y > 4x + 1

6 0
3 years ago
Three of the four vertices of a rectangle are located at (4, 2), (7, 2) and (4, 8). a. What are the coordinates of the missing v
34kurt

Answer:

a) The coordinates of the missing vertex = (7, 8)

b) Area = 18 square units

   Perimeter = 18 units

Step-by-step explanation:

a) We know three of the four vertices:

A: (4, 2)           C ______ D(?)

B: (7, 2)               |             |

C: (4, 8)           A |______| B  

To find the coordinates of the missing vertex we need to calculate the distance in the x-direction from point A to point B:

B_{x} - A_{x} = 7 - 4 = 3                    

Hence, the distance of point D from point C in the x-direction is:

D_{x} = C_{x} + 3 = 4 + 3 = 7

Now, to find the coordinate in "y" we need to calculate the distance in the y-direction between point C and point A:

C_{y} - A_{y} = 8 - 2 = 6  

Then, the distance of point D from point B in the y-direction is:

D_{y} = B_{y} + 6 = 2 + 6 = 8

Therefore, the coordinates of the missing vertex (point D) are:

D = (D_{x}, D_{y}) = (7, 8)    

b) The area of the rectangle is:

a = (B_{x} - A_{x})*(C_{y} - A_{y}) = 3*6 = 18 units^{2}

The perimeter is given by:

p = 2*(3 + 6) = 18 units

I hope it helps you!          

8 0
2 years ago
Fencing a horse corral carol has 2400 ft of fencing to fence in a rectangular horse corral. (a) find a function that models the
Vanyuwa [196]

Here it is given that the width is x ft and total length of the fence is 2400 ft .

Let the length be y ft

So we have

2(x+y) =2400&#10;\\&#10;x+y=1200&#10;\\&#10;y = 1200 -x

Let A represents area, and area is the product of length and width .

So we get

A = x y

Substituting the value of y, we will get

A = x (1200-x)= 1200x -x^2

Second part

The area is maximum at the vertex, and vertex is

x = - \frac{1200}{2(-1)} = 600 feet

And

y=1200-x = 1200-600 = 600 feet

And that's the required dimensions .

8 0
3 years ago
Find the equation of the line that is parallel to x=6y-5 and that passes through (5,-3). express answer in standard form
Anestetic [448]

Answer:

Final answer is x-6y=23

Step-by-step explanation:

We need to find the equation of the line that is parallel to x=6y-5 and that passes through (5,-3).

So first we need to find the slope of given line.

rewirite x=6y-5 in y=mx+b form

x+5=6y

\frac{1}{6}x+\frac{5}{6}=y

Compare given equation with y=mx+b

we get: m=1/6

We know that parallel equations has equal slope.

Then slope of required line m=1/6

Now plug the given point (5,-3) and slope m=1/6 into point slope formula:

y-y_1=m\left(x-x_1\right)

y-(-3)=\frac{1}{6}\left(x-5\right)

y+3=\frac{1}{6}x-\frac{5}{6}

y=\frac{1}{6}x-\frac{5}{6}-3

y=\frac{1}{6}x-\frac{23}{6}

Now we need to rewrite that equation in standard form. Ax+By=C.

6y=x-23

x-23=6y

x-6y=23

Hence final answer is x-6y=23

6 0
4 years ago
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