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3 years ago

chris is five times as old as Zac. in thirty years chris will be twice zac's age. how old is zac now?

Mathematics

1 answer:

viktelen [127]3 years ago

4 0

Zac's age=x
Chris's age=5x

After 30 years
Zac's age=x+30
Chris's age =5x+30=2(x+30)
5x+30=2x+60
5x-2x=60-30
3x=30
x=10

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Answer:

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Step-by-step explanation:

We have 2 values here,

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Firstly, we must find the length of the rectangle (l).

So, according to the formula,

Perimeter = 2 (b + l)

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360 = 120 + 2l

360 - 120 = 2l

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Now, we need to find the area of the rectangular wall & then convert it from cm² to m² as the cost of painting is given in m².

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3 years ago

The sum of four consecutive integers is 390. Find the integers (Please show your work)

AysviL [449]

Step-by-step explanation:

The sum of three consecutive even integers is 390. What are the integers?

In order to ensure the numbers are even I generally call the first

integer 2n because 2 multiplied by any number will always be even.

Our consecutive even integers are: 2n, 2n+2, 2n+4

2n + 2n+2 + 2n+4 = 390

6n + 6 = 390

6n = 384

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Our 1st integer is 2n = 2(64) = 128

Our integers are 128, 130, 132

Check: 128+130+132 = 390 which is correct.

2) The sum of three consecutive odd integers is 99. What are the integers?

Same logic applies: An odd integer will always result from 2n+1

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Our first odd integer is 2n+1 = 2(15) + 1 = 31

Our 3 consecutive odd integers are 31, 33, 35

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3)Which equation defines three consecutive odd integers that add up to 81?

A) n(n+1)(n+2)=81

B) n(n+2)(n+4)=81

C) n+(n+1)+(n+3)=81

D) n+(n+1)+(n+2)=81

E) n+(n+2)+(n+4)=81

We can immediately discard answers A, B because they are multiplying

instead of adding.

That leaves C, D, E

This question does not follow the logic I utilized in question 1 and 2.

Assuming the first number is indeed odd and is called n

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Thus we must have: n + (n+2) + (n+4) = 81

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