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3 years ago

A radio station requires DJs to play 2 commercials for every 10 songs they play.What is the unit rate of songs to commercial?

2 answers:

7 0

The DJs unit rate is 5 songs for every 1 commercial.

I found this by dividing both the commercials and the songs by their greatest common factor, or 2.

stira [4]3 years ago

4 0

Answer:

The answer is 0.2

Step-by-step example

First multiply two and sixty which equals 120,then multiply ten and sixty which equals six hundred then divide it by eachother which equals zero point two.

You might be interested in

You can spend at most $24 at the fair. Game tickets cost $2 each and ride tickets cost $4 each. You want to buy at least 3 game

meriva

Your game tickets are $6 total. Your ride tickets would run you about $12.

$2 x 3 = 6

$4 x 3 = 12

5 0

2 years ago

Find the product: (-8)(9)(2)

MArishka [77]

The product of -8 x 9 x 2= -144

7 0

3 years ago

PLEASE HELP WILL GIVE BRAINLIEST!!!!

IrinaVladis [17]

Answer:

<em>The height of the tree is 19.81 m</em>

Step-by-step explanation:

<u>Trigonometric Ratios </u>

The ratios between the sides of a right triangle are called trigonometric ratios.

If any of the acute angles is chosen as a reference, it has an adjacent side and an opposite side. The trigonometric ratios are defined upon those sides and the hypotenuse.

The image shows a right triangle with a tree and the ground forming a right angle and an elevation angle of 33°.

This angle of 33° has a side of 30.5 m as its adjacent leg and the height of the tree X as the opposite side.

The trigonometric ratio that relates both legs is the tangent:

$\displaystyle \tan 33^\circ=\frac{X}{30.5}$

Solving for X

$X=30.5\cdot \tan 33^\circ$

Using a calculator:

X = 19.81 m

The height of the tree is 19.81 m

7 0

3 years ago

Katniss divided x^3+2x^2-3x-4 by x+1. she didnt get a remainder. do you agree with her?

Brilliant_brown [7]

ANSWER

Katnis is right

EXPLANATION

We use the Remainder Theorem to check if she is right.

According to the Remainder Theorem, if the polynomial function,

$p(x) = {x}^{3} + 2 {x}^{2} - 3x - 4$

is divided by x+1, then the remainder is given by

$p( - 1)$

We substitute x=-1 into the function to obtain,

$p( - 1) = {( - 1)}^{3} + 2 { ( - 1)}^{2} - 3( - 1) - 4$

We simplify to get:

$p( - 1) = - 1+ 2 (1) + 3 - 4$

$p( - 1) = 4- 4$

$p( - 1) = 0$

Katnis is right because the remainder is zero

3 0

3 years ago

Find the reciprocal of the expression. 10b/2b + 8

Alexus [3.1K]

Comment
I think you need brackets to clarify what you mean. I think it should be written as
10b/(2b + 8)

If that is the case the reciprocal is

(2b + 8)/10b You just turn everything up side down. There are technical ways of doing this, but the easiest way is just to do what I just did.

Put the numerator in the denominator,
Put the denominator in the numerator.

You could simplify this a bit.
2b/10b + 8/10b
which reduces further.

1/5 + 4/5b
Just to make sure you understand where that b is, I will do this in

Latex. $\frac{2b + 8}{10b} = \frac{2b}{10b} + \frac{8}{10b} = \frac{2}{10} + \frac{4}{5b} = \frac{1}{5} + \frac{4}{5b}$

Alternate answer
If you do mean what your wrote then the reciprocal is 2b / 10b + 8 which is 1/5 + 8 = 8 + 0.2 = 8.2

The 8 has nothing to do with the reciprocal under these conditions.

The answer
I have given you all the choices I can think of without going into decimals. If you have choices, please list them under the comments.

6 0

3 years ago