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aev [14]
3 years ago
7

A quart of paint covers 80 square feet. How many quarts should you buy to paint the ramp with two coats? (Assume you will not pa

int the bottom of the ramp.)

Mathematics
1 answer:
Amanda [17]3 years ago
5 0

Answer:

Step-by-step explanation:

Alright, lets get started.

We first need to find the surface area of the ramp without its base.

The ramp consists 4 sides two triangles and two rectangles.

Area of 1 triangle = \frac{1}{2}*14*6=42

Area of 2 triangle = 42

Area of top rectangle = 15.2*19.5=296.4

Area of back rectangle = 6*19.5=117

So total area =  42+42+296.4+117=497.4 square feet

We are asked to paint two coats of paint means we have to double the area.

So the double area is = 2*497.4=994.8

80 square feet requires = 1 quart of paint

994.8 square feet requires = \frac{994.8}{80}=12.435

12.4 quart can't be purchased so complete number of quart will be 13 quart.   :   Answer

Hope it will help :)

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Expand each expression A ( x+1)^2 B(x-3)^2. C ( x+4)^2 D (x-1/2)^2
Elis [28]

The <em>expanded</em> expressions are shown below:

  1. (x + 1)² = x² + 2 · x + 1
  2. (x - 3)² = x² - 6 · x + 9
  3. (x + 4)² = x² + 8 · x + 16
  4. (x - 1/2)² = x² - x + 1/4
  5. 3 · (x - 5)² = 3 · (x² - 10 · x + 25) = 3 · x² - 30 · x + 75
  6. (1/2) · (x - 2)² = (1/2) · (x² - 4 · x + 4) = (1/2) · x² - 2 · x + 2

<h3>How to expand perfect square trinomials</h3>

<em>Perfect square</em> trinomials are polynomials of grade 2 with the form (a + b)² = a² + 2 · a · b + b². In this case, we have to expand six perfect square trinomials:

a) (x + 1)² = x² + 2 · x + 1

b) (x - 3)² = x² - 6 · x + 9

c) (x + 4)² = x² + 8 · x + 16

d) (x - 1/2)² = x² - x + 1/4

e) 3 · (x - 5)² = 3 · (x² - 10 · x + 25) = 3 · x² - 30 · x + 75

f) (1/2) · (x - 2)² = (1/2) · (x² - 4 · x + 4) = (1/2) · x² - 2 · x + 2

To learn more on perfect square trinomials: brainly.com/question/385286

#SPJ1

3 0
2 years ago
11x + 2y = 68 &amp; 5x + y = 13
matrenka [14]

Answer:

i hope its correct

Step-by-step explanation:

11x + 2y=68 ------------1

5x+y=13 ------------2

y= 13-5x. ------------3

put 3 into 1

11x +2(13-5x) =68

11x +26 -10x =68

x=42

put x =42 into 2

5(42) +y =13

210+y=13

y=13-210

y=197

4 0
3 years ago
Mrs. Kennedy is buying pencils for each of 315 students at hamilton elementary. The pencils are sold in boxes of tens. How can s
Galina-37 [17]

315 / 10 = 31.5

4 and down stay the same,

5 and up round up

31.5 = 32

8 0
3 years ago
Write the equation of the line that is parallel to the line y= -2x+3 and goes through the point (3, -6).​
svetlana [45]

Answer:

y=-2

Step-by-step explanation:

because it's parallel --> a=-2

therefore we have y=-2x+b

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3 0
3 years ago
Please help me find this equation :)
stira [4]
It's -16 just use the app socratic
3 0
3 years ago
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