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3 years ago

Y varies directly with x. If x=6 when y=30, determine y when x=8.

Mathematics

2 answers:

kondaur [170]3 years ago

5 0

Answer:

Y=40

Explanation:

Due to the nature of both X and Y varying directly, you can view the problem as a proportion. If x=6 and y=30, that must mean that when x=8 y must equal 40.

6:30 = 8:40

30/6= 5

Y/8= 5

Because they vary directly they are equivalent, and so multiply 8 by 5 and get 40.

alexgriva [62]3 years ago

5 0

Answer:40

Step-by-step explanation:

6 times 5 is 30

so 8 times 5 = 40

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AveGali [126]

Answer with Step-by-step explanation:

$a) {n}^{2} + 3 \\ \\ n = 1 \\ {1}^{2} + 3 \\ 1 + 3 \\ = 4 \\ \\ n = 2 \\ {2}^{2} + 3 \\ 4 + 3 \\ = 7 \\ \\ n = 3 \\ {3}^{2} + 3 \\ 9 + 3 \\ = 12 \\ \\ n = 4 \\ {4}^{2} + 3 \\ 16 + 3 \\ = 19 \\ \\ n = 10 \\ {10}^{2} + 3 \\ 100 + 3 \\ = 103$

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$b)2 {n}^{2} \\ \\ n = 1 \\ 2 \times {1}^{2} \\ 2 \times 1 \\ = 2 \\ \\ n = 2 \\ 2 \times {2}^{2} \\ 2 \times 4 \\ = 8 \\ \\ n = 3 \\ 2 \times {3}^{2} \\ 2 \times 9 \\ = 18 \\ \\ n = 4 \\ 2 \times {4}^{2} \\ 2 \times 16 \\ = 32 \\ \\ n = 10 \\ 2 \times {10}^{2} \\ 2 \times 100 \\ = 200$

in this sequence,

1st term = 2

2nd term =8

3rd term = 18

4th term =32

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