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Anna35 [415]
3 years ago
8

How do you find equivalent ratios? (Please put explanation)

Mathematics
1 answer:
Sergeu [11.5K]3 years ago
7 0
Two ratios that are equivalent are the same in value. We call these equivalent ratios. To find an equivalent ratio multiply or divide both of the numbers by a common number (or same number), this would be the exact same when finding equivalent fractions as well.
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Help math 7th grade.........​
lakkis [162]

Answer:

6/7

Step-by-step explanation:

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3 years ago
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20 feet of ribbon, cutting ribbon into 7 1/2 inches or 6 3/4 inch lengths to make bracelets. Write an algebraic expression that
IRINA_888 [86]

<u>ANSWER:  </u>

The algebraic expression for number of ribbons is \frac{20 \text { feet }-\left\{\frac{20 \text { feet }}{x}\right\}}{x} and the algebraic expression for length of ribbon is \frac{25 x}{3} \text { feet }

<u>SOLUTION: </u>

Given, 20 feet of ribbon, cutting ribbon into 7\frac{1}{2} inches or 6\frac{3}{4} inch lengths to make bracelets.

Let us convert the mixed fraction to improper fractions.

7 \frac{1}{2}=\frac{7 \times 2+1}{2}=\frac{15}{2} \text { and } 6 \frac{3}{4}=\frac{6 \times 4+3}{4}=\frac{27}{4}

Let, the length of bracelets can be made be “x”

First we have to remove the excess length of ribbon and then we have to divide the remaining with length of bracelet we want.

\text { number of ribbons }=\frac{\text { length of ribbon-excess ribbon.}}{\text {length of bracelet}}

\left.=\frac{20 \text { feet }-\left\{\frac{20 \text { feep }}{x}\right.}{x} \text { [we know that, }\{x\} \text { is fractional part of } x\right ]

So, the algebraic expression for number of ribbons is  \frac{20 \text { feet }-\left\{\frac{20 \text { feet }}{x}\right\}}{x}

Now, let us find the algebraic expression for feet of ribbon to make 100 ribbons.

We have 100 bracelets of length x, then total length = 100 × x

length of ribbon = 100x inches

\begin{array}{l}{=100 \mathrm{x} \times \frac{1}{12} \text { feet }} \\\\ {=\frac{25 x}{3} \text { feet }}\end{array}

So, the algebraic expression for length of ribbon is \frac{25 x}{3} \text { feet }

Hence, the algebraic expression for number of ribbons is  \frac{20 \text { feet }-\left\{\frac{20 \text { feet }}{x}\right\}}{x} and the algebraic expression for length of ribbon is \frac{25 x}{3} \text { feet }

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3 years ago
Given that a × 70 = b<br> work out the value of<br> Your final line should say, 3b/a =...
alukav5142 [94]

a/q b/a=70 so ans will be 210

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3 years ago
If f(x) = 2x+4, which of the following is the inverse of f(x)?
creativ13 [48]

Answer:

{f}^{ - 1} (x)=  \frac{x}{2}  - 2

Step-by-step explanation:

The given function is

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Divide both sides by 2

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Therefore;

{f}^{ - 1} (x)=  \frac{x}{2}  - 2

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Solve for the variable: 2x - 28 = 16
svlad2 [7]
2x = 44
44/2 = x
X= 22
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