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3 years ago

Suppose y varies directly with x. write an equation relating x and y. y=7 when x=42

Mathematics

1 answer:

WARRIOR [948]3 years ago

5 0

Answer:

y = $\frac{1}{6}$ x

Step-by-step explanation:

Given y varies directly with x then the equation relating them is

y = kx ← k is the constant of variation

To find k use the given condition that y = 7 when x = 42

k = $\frac{y}{x}$ = $\frac{7}{42}$ = $\frac{1}{6}$

y = $\frac{1}{6}$ x ← equation of variation

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The first three terms of a sequence are given. Round to the nearest thousandth (if necessary). 50, 60,72,... Find the 8th term.

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Jerry’s rhombus has a base of 15 inches and a height of 9 inches. Charlene’s rhombus has a base and a height that are 13 the bas

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Answer: The area of Charlene's rhombus is nine times smaller than the area of Jerry's rhombus.

Step-by-step explanation:

I will assume that the exercise says " $\frac{1}{3}$ times the base and height of Jerry’s rhombus".

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$A=b*a$

Where "b" is the length of the base and "a" is the altitude or the height.

Then, you can calculate the area using the formula shown above.

Therefore, you get:

1. Jerry's rhombus:

$A_1=(15\ in)(9\ in)\\\\A_1=135\ in^2$

2. Charlene's rhombus:

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Dividing the area calculated, you get:

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