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Aliun [14]
3 years ago
11

Mr Avery Needs to repaint the outside of his house. He estimates that the area he needs to paint is about 1600 Each gallon of pa

int will cover about 250 sq feet. Me Avery has 1 gallon of paint left over from the last time he painted that he can use this time. Will Mr. Avery need to buy 5 gallons of paint? Explain your reasoning by using an equation
Mathematics
1 answer:
Tju [1.3M]3 years ago
4 0

Answer:

Mr. Avery will need to buy 5.4 gallons of paint.

Step-by-step explanation:

We have been given that Mr. Avery estimates that the area he needs to paint is about 1600 and  each gallon of paint will cover about 250 sq feet.

So to find the number of gallons of paint needed to paint the outside of house we will divide total area to be painted (1600 sq. ft) by area covered by gallon of paint.

\text{The number of gallon required to paint}=\frac{\text{Area of the house to be painted}}{\text{Area painted by 1 gallon of paint}}

Since Mr. Avery has 1 gallon of paint left over from the last time he painted that he can use this time, so Mr. Avery will need one gallon less. We can represent this information as:

\text{The number of gallon required to paint}=\frac{\text{Area of the house to be painted}}{\text{Area painted by 1 gallon of paint}}-1

Upon substituting our given values in above equation we will get,

\text{The number of gallon required to paint}=\frac{1600\text{square ft}}{\text{250 square ft}}-1

\text{The number of gallon required to paint}=6.4-1

\text{The number of gallon required to paint}=5.4

Therefore, Mr. Avery will need to buy 5.4 gallons of paint.

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Write the equation of the horizontal line given m = 0 that passes through the point (3,-2).
Digiron [165]

Answer:

<em>y = -2</em>

Step-by-step explanation:

Since the line is horizontal, all points have the same y-coordinate, -2. The y-intercept is the point (0, -2), so b = -2. The line is horizontal, so the slope is m = 0 which is given.

Use the slope-intercept form of the equation of a line and plug in the information you have.

y = mx + b

y = 0x + (-2)

y = -2

4 0
3 years ago
What is the mass of a solid ball of iron with a radius equal to 18 cm if it is known that the density of iron is 7800 kg/m
Shtirlitz [24]

Answer:

60.6528 kg

Step-by-step explanation:

Assuming the solid ball of iron is a sphere with a radius of 18 cm (or 0.18 m), we can compute the volume of the sphere:

V=\frac{4}{3}\pi r^3\\\\V=\frac{4}{3}\pi (\frac{18}{100})^3\\\\V=\frac{4}{3}\pi (0.005832)\\\\V=0.007776

Therefore, the volume of the solid ball is 0.007776 m³

Since we know that density is mass/volume, then we can find the mass of the iron:

\rho=\frac{mass}{volume}\\ \\7800\: kg/m^3=\frac{mass}{0.007776\: m^3}\\\\mass=60.6528\:kg

Thus, the mass of the solid ball of iron is 60.6528 kg

8 0
3 years ago
Solve for x.3-sqrt(x)=0 What is the root? If there is none, choose none. x = 3 x = 9 none
Anon25 [30]

Answer:

x = 9

Step-by-step explanation:

You can solve this problem by isolating the variable.

3-√x = 0  

√x = 3 (add √x to both sides of the equation)

x = 9 (square both sides of the equation)

8 0
3 years ago
ANSWER ASAP I WILL MAKE BRAINLYIST
aniked [119]

X+2y=4

+-x-4y=-14

——————

-2y=-10, y=5, x=4-10=-6

8 0
3 years ago
Read 2 more answers
A paper company needs to ship paper to a large printing business. The paper will be shipped in small boxes and large boxes. Each
Alecsey [184]

Answer:

There were 7 small boxes and 14 large boxes shipped.

Step-by-step explanation:

This problem may be solved by a system of equations:

I am going to say that:

x is the number of small boxes used

y is the number of large boxes used

There were twice as many large boxes shipped as small boxes shipped

This means that y = 2x

Each small box of paper weighs 45 pounds and each large box of paper weighs 80 pounds. The total weight of all boxes was 1435 pounds.

This means that 45x + 80y =1435

So we have to solve the following system:

y=2x

45x + 80y =1435

45x + 80 (2x) = 1435

205x = 1435

x= 1435/205

x=7

y=2x= 2(7) = 14

There were 7 small boxes and 14 large boxes shipped.

5 0
3 years ago
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