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2 years ago

Assume that r varies directly as p. What is the constant of proportionality if r = 3 when p = 15.

Mathematics

2 answers:

nataly862011 [7]2 years ago

6 0

The answer for this question would be K= 1/5

krok68 [10]2 years ago

4 0

Answer:

The correct answer is k=1/5

Step-by-step explanation:

Given the expression " r varies directly as p", we need to find an equation that describes the relationship between both variables. First, we have that r varies as p varies, so r is the dependent variable and p is the independent variable. So

r = k x p ⇒ replacing with the given values (r =3 when p =15)

3 = k x 15 ⇒ 3/15 = k ⇒ 1/5 = k.

Then the constant of proportionality is k = 1/5.

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2 years ago

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2 years ago

Read 2 more answers

What does x equal to? “?” = x Solve by using fractions and round to the nearest hundredth if necessary

Anna007 [38]

Answer:

3.5 inches

Step-by-step explanation:

We can rotate the figure to the left 90 degrees clockwise so that it becomes same orientation as the figure to the right.

Since they are similar figures, their corresponding sides are proportional.

The 4 inch side of left figure corresponds to 16 in side of right side figure.

The "?" inch side of left figure corresponds to 14 in side of right side figure.

We can replace "?" with "x" and setup two ratios and equate them:

$\frac{4}{16}=\frac{x}{14}$

Now, we can cross multiply and solve for x:

$\frac{4}{16}=\frac{x}{14}\\16x=4*14\\16x=56\\x=\frac{56}{16}\\x=3.5$

Hence,

the unknown side marked "?" is equal to 3.5 inches

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2 years ago