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svet-max [94.6K]

2 years ago

12

Write a rate for the problem and solve it. Show your work and explain your thinking. A radio station requires DJs to play 2 comm

ercials for every 10 songs they play. What is the unit rate of songs to commercials?

1 answer:

Alenkasestr [34]2 years ago

8 0

Answer:

a certain number that i do not know

Step-by-step explanation:

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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 $\frac{25 x}{3} \text { feet }$

5 0

3 years ago

What is Q1 AND Q3 AND IQR OF THE NUMBERS<br>2,12,52,33,8,14

Sedaia [141]

It is 25.

Q1 is 8
Q3 is 33

7 0

2 years ago

Read 2 more answers

In the left column: how was the numerical part of the answer found (addition, subtraction )

Setler79 [48]

You can find the numerical part of the answer because it is the same on the right side.

For example:
¹ <<==== Regrouped
89
+
67
---------
146 <<=== I had to press space so I could position it.

So that also happens in subtraction, the left side can be found by doing the same steps in the right column.
For example:

67
- <<=== this time there was no regrouping
12
-------
55

5 0

3 years ago

Use the graph below to find the coordinates of J'after J(-5, 1) was reflected over the linex=-3.

k0ka [10]

Answer:

J's would be (-5,-4) if J was reflected over the line x=3.

7 0

3 years ago

21 is 20% of what number

Ksenya-84 [330]

Answer:

21 is 20% of 105

Step-by-step explanation:

20% * x = 21

20/100 * x = 21

x = 21 * 100/20

x = 105

If you are using a calculator, simply enter 21×100÷20, which will give you the answer.

6 0

3 years ago

Read 2 more answers