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Solve for b in the proportion.
{:[(10)/(8)=(b)/( 12)],[b=◻]:}

Solve for $b$ in the proportion. $\newline$ $\begin{array}{l}\frac{10}{8}=\frac{b}{12} \\b=\square\end{array}$

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Write and solve direct variation equations

Full solution

Q. Solve for

b

in the proportion.

\newline

\begin{array}{l}\frac{10}{8}=\frac{b}{12} \\b=\square\end{array}

Identify Proportion: Identify the proportion and set up the equation. $\newline$ We have the proportion $\frac{10}{8} = \frac{b}{12}$ .
Cross-Multiply: Cross-multiply to solve for b. $\newline$ $10 \times 12 = 8 \times b$ $\newline$ $120 = 8b$
Divide to Isolate b: Divide both sides by $8$ to isolate b. $\newline$ $b = \frac{120}{8}$ $\newline$ $b = 15$

More problems from Write and solve direct variation equations

Question

In a direct variation,

y=15

x=5

. Write a direct variation equation that shows the relationship between

x

y

. Write your answer as an equation with

y

first, followed by an equals sign.

Posted 9 months ago

Question

In an inverse variation,

y = 4

x = 6

. Write an inverse variation equation that shows the relationship between

x

y

. Write the equation using a decimal or an integer.

\_\_\_\_

Posted 8 months ago

Question

z

varies directly with

y

and inversely with

x

y = -12

x = -4

z = -36

. What is the equation of variation? Write your answer in the form

A

\frac{A}{B}

A

B

are constants or variable expressions. Remember to include the value of

k

, the constant of variation, in exact form.

\newline

\ z

Posted 9 months ago

Question

Which equation describes this relationship? Remember to include

k

, the constant of variation.

a

varies directly with

b

and inversely with

c

d

\newline

\newline

\[[A]a = \frac{kb}{cd}\]

\newline

\[[B]a = \frac{kbd}{c}\]

\newline

\[[C]a = \frac{k}{bcd}\]

\newline

\[[D]a = \frac{kd}{bc}\]

Posted 9 months ago

Question

z

varies directly with

y

and inversely with

w

x

y = 12

w = 8

x = –5

z = –3

. What is the value of

k

, the constant of variation?

\newline

Write your answer in the form

A

\frac {(A)}{(B)}

A

B

are constants or variable expressions.

\newline

Posted 9 months ago

Question

Given the substitutions

\ln 2=a, \ln 3=b

\ln 5=c

, find the value of

\ln \left(\frac{e}{3}\right)

a, b

c

\newline

Posted 9 months ago

Question

Square VWXY is dilated by a scale factor of

6

V^{\prime} W^{\prime} X^{\prime} Y^{\prime}

. Side W'X' measures

12

. What is the measure of side WX?

\newline

Posted 9 months ago

Question

In a direct variation,

y = 4

x = 2

. Write a direct variation equation that shows the relationship between

x

y

\newline

Write your answer as an equation with

y

first, followed by an equals sign.

Posted 6 months ago

Question

In a direct variation,

y = 18

x = 2

. Write a direct variation equation that shows the relationship between

x

y

\newline

Write your answer as an equation with

y

first, followed by an equals sign.

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Question

You pick a card at random, put it back, and then pick another card at random.

\newline

4

\newline

5

\newline

6

\newline

7

\newline

What is the probability of picking a number greater than

5

and then picking a

4

\newline

Write your answer as a percentage.

Posted 1 month ago

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