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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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3 years ago
What are the real or imaginary solutions of the polynomial equation x*4-25=0​
Paul [167]

Hello from MrBillDoesMath!

Answer:

Solutions: x = +\- 5i or x = +\- sqrt(5)


Discussion:

Factor x^4 - 25:

x^4 - 25     = (x^2+5) (x^2-5)                              =>  factor x^2 - 5

x^4 - 25 =   (x^2+5)(x + sqrt(5)) (x - sqrt(5))       => factor x^2 + 5

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Hence the solutions are

x = +\- 5i and x = +\- sqrt(5)



Thank you,


MrB

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3 years ago
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