Question

7:8:9=__:12:__ find the blanks. They are ratios PLEASE HELP

Answer 1

Answer:  $7:8:9 = 10.5:12:13.5$

Step-by-step explanation:

Suppose,  $7:8:9= x:12:y$

Now according to the ratio, the equations will be........

$\frac{7}{8}=\frac{x}{12}\\ \\ 8x=7*12=84\\ \\ x=\frac{84}{8}=10.5$

and

$\frac{8}{9}=\frac{12}{y}\\ \\ 8y=9*12=108\\ \\ y=\frac{108}{8}=13.5$

So, the ratio will be  $7:8:9 = 10.5:12:13.5$

Answer 2

The ratio is $\boxed{7:8:9 = 10.5:12:13.5}$.

Further Explanation:

Given:

The ratio is $7:8:9$ and is equal to ${\text{\_\_\_}}:{\text{12}}:{\text{\_\_\_}}$.

Calculation:

Consider the number in the first blank as $x$.

Consider the number in the second blank as $y$.

Therefore, the ratio is $7:8:9$ and is equal to ${{x}}:{\text{12}}:{{y}}$

From the given equation the ratio of $7:8$ is equal to the ratio of $x:12$.

Now equate $\dfrac{7}{8}$ and $\dfrac{x}{12}$ to obtain the value of $x$.

$\begin{aligned}\frac{7}{8} &= \frac{x}{{12}} \\ \frac{7}{8} \times 12 &= x \\ \frac{{21}}{2} &= x \\ 10.5 &= x \\ \end{aligned}$

Therefore, the value of $x$ is $10.5$.

From the given equation the ratio of $8:9$ is equal to the ratio of $12:y$.

Now equate $\dfrac{8}{9}$ and $\dfrac{12}{{y}}$ to obtain the value of $y$.

$\begin{aligned}\frac{8}{9} &= \frac{{12}}{y} \\ \frac{9}{8} &= \frac{y}{{12}} \\ \frac{9}{8} \times 12 &= y \\ \frac{{27}}{2} &= y \\ 13.5&= y \\\end{aligned}$

Therefore, the value of $y$ is $13.5$.

Hence, the ratio is $\boxed{7:8:9 = 10.5:12:13.5}$.

Learn more:

1. Learn more about product of binomial and trinomial brainly.com/question/1394854

2. Learn more about line segments brainly.com/question/909890

Answer details:

Grade: Middle School

Subject: Mathematics

Chapter: Ratio and Proportion

Keywords: number, reciprocal, fraction, ratio, equation, proportion, 7:8:9, fill blank.