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3 years ago

The value of y is directly proportional to the value of x. If y = 35 when X = 140, what is the

Mathematics

1 answer:

vekshin13 years ago

4 0

Answer:

17.5

Step-by-step explanation:

soln:

given,

since, x and y are directly proportional

and x=140, y=35

dividing x by y we get,

x/y=140/35

or,x/y=4/1

or,x=4y

when x=70,

x=4y

or,70=4y

•°•y=17.5

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Using the formula for the volume of a cube, it is found that the expression which gives the ratio of the side length of Cube A to the side length of Cube B is:

$r = \frac{3^{\frac{2}{3}}}{5^{\frac{1}{3}}}$

Which means that option E is correct.

The volume of a cube of side length l is given by:

$V = l^3$

For Cube A, the volume is of 9 cubic inches, hence:

$l_a^3 = 9$

$l_a = \sqrt[3]{9}$

$l_a = 9^{\frac{1}{3}}$

$l_a = 3^{\frac{2}{3}}$

For Cube B, the volume is of 5 cubic inches, hence:

$l_b^3 = 5$

$l_b = \sqrt[3]{5}$

$l_b = 5^{\frac{1}{3}}$

Then, the ratio is:

$r = \frac{l_a}{l_b} = \frac{3^{\frac{2}{3}}}{5^{\frac{1}{3}}}$

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3 years ago

Identify the common difference. -6, -3, 0, 3, 6....

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Answer:

Step-by-step explanation:

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t²-t¹

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Exponential functions are patterns that get continuously multiplied by some number. It's exponential growth when the base of our exponential is bigger than 1, which means those numbers get bigger. It's exponential decay when the base of our exponential is in between 1 and 0 and those numbers get smaller.

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Proportion can simply be defined as equating two ratios

The proportion of 3/2 = 4/p +9 can be calculated as follows

3/2 - 9/1 = 4/p

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cross multiply both sides together to find the value of p

-15×p= 4×2

-15p= 8

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Hence the answer is p= -8/15

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