Mathematics, 07.07.2019 06:00 bapehoodboi

7: 8: 9=: 12: find the blanks. they are ratios

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Answer from: scheyennekreger

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 from: ChaseRussell24

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 .

Consider the number in the second blank as .

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 .

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

Therefore, the value of 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 .

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

Therefore, the value of 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

2. Learn more about line segments

Answer details:

Grade: Middle School

Subject: Mathematics

Chapter: Ratio and Proportion

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

Answer from: Quest

answer: 177/8

step-by-step explanation:

Solve for x i’m having trouble finding out the answer

Answer from: Quest

c. x=2.4cm

step-by-step explanation:

similar triangles are triangles which have the same shape but not the same size. this means their angle measures are equal but their side lengths are not instead they are proportional. to solve, we will set up a proportion and solve.

a proportion is two equal ratios set equal to each other. we form the ratios by finding corresponding sides (sides which match to each other on both triangles by their position). out ratios will be one side of the small triangle over the corresponding side on the big triangle as shown below:

$\frac{little}{big} =\frac{side mn}{side ab}=\frac{side on}{side cb}$ .

$\frac{0.96}{1.2}=\frac{x}{3}$

to solve the proportion, we'll cross multiply by multiplying numerator with denominator across the equal sign.

$0.96(3)=1.2(x)\\2.88=1.2x\\\frac{2.88}{1.2}=\frac{1.2x}{1.2} \\2.4=x$

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