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3 years ago

A radio station requires DJs to play 4 commercials for every 36 songs they play. What is the unit rate of songs to commercials?

Mathematics

1 answer:

elena55 [62]3 years ago

7 0

Answer:

The correct answer for this question is that the unit rate is 5:1.

Step-by-step explanation:

We can work this out by simplifying down the 2 commercials to every 10 songs ration, so that 10:2 becomes 5:1. We can work this out by halving the original ratio to simplify it.

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Tickets for the karaoke talent show sponsored by the Speech Club were priced at $3 for adults and $2 for students. The club trea

vfiekz [6]

Answer:

50 adults and 250 students tickets were sold

Step-by-step explanation:

Given data

Let the number of adults be x and students be y

3x+2y=650------1

x+y= 300---------2

from 2

x= 300-y

put the value of x in 1

3(300-y)+2y= 650

900-3y+2y= 650

900-y= 650

900-650= y

y=250

put the value of y in 2

x+250= 300

x= 300-250

x= 50

Hence 50 adults and 250 students tickets were sold

5 0

3 years ago

Find the perimeter of a quadrilateral with vertices at C (-1, 2), D (-2, -1), E (2, -2), and F (1, 1). Round your answer to the

babymother [125]

Answer:

B 12.68

Step-by-step explanation:

you will need to find the distance between each segment-

so the length of DC, CF, FE, ED

$d=\sqrt{(x_{2}-x_{1}) ^{2}+(y_{2}-y_{1}) ^{2} }$

DC:

D(-2,-1) C(-1,2)

$d=\sqrt{(-1--2)^{2} +(2--1)^{2} } \\d=\sqrt{1^{2}+3^{2} } \\d=\sqrt{10} =3.16$

CF:

C(-1,2) F(1,1)

$d=\sqrt{(1--1)^{2} +(1-2)^{2} } \\d=\sqrt{2^{2}+-1^{2} } \\d=\sqrt{4+1} \\d=\sqrt{x} 5=2.24$

F(1,1) E(2,-2)

$d=\sqrt{(2-1)^{2} +(-2-1)^{2} } \\d=\sqrt{1^{2} +(-3)^{2} } \\d=\sqrt{1+9} \\d=\sqrt{10}= 3.16$

E(2,-2) D(-2,-1)

$d=\sqrt{(-2-2)^{2} +(-1--2)^{2} } \\d=\sqrt{(-4)^{2}+1^{2} } \\d=\sqrt{16+1} \\d=\sqrt{17}= 4.12\\$

3.16+2.24+3.16+4.12= 12.68

4 0

2 years ago

Sandy is driving cross country. She has covered 200 miles from the east coast towards the west coast. She has driven this distan

lilavasa [31]

Okay so here it is

the answer is M=100D + 200

Why?

because 200miles divided by 2 days is 100 so every day she drives 100 miles which means you would times the days by 100 miles and since you have already gone 200 miles it would be

m=100d+ 200

hope this helps

7 0

3 years ago

there are 16 sixth graders and 20 seventh graders in the robotics club. Wants to organize the club members into equal size each

lina2011 [118]

the answer is 4 because 16 and 20 can both be divided by 4.

7 0

3 years ago

Determine the value of x for which rls if<br> .<br> m2i = 80 - X; and<br> mz2 = 90 - 2x<br> .

Slav-nsk [51]

Answer:

x = 10

Step-by-step explanation:

For the lines to be parallel, the two angles must have the same measure:

80 - x = 90 - 2x

x = 10 . . . . . . . . . add 2x-80

The value of x must be 10 to make the lines parallel.

6 0

3 years ago