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Leni [432]
4 years ago
9

A musician performed at three local fairs. At the first he doubled his money and spent

Mathematics
1 answer:
ziro4ka [17]4 years ago
7 0

Answer:

The Musician had $29 before  performing at the fairs

Step-by-step explanation:

Let the  initial amount musician has be x

At the first musician doubled his money and spent

$30 , this can be written as

2(x) -30---------------------------------(1)

At the second he tripled his money and spent $54.

3(2x -30) - 54

=> 6x-90-54

=> 6x- 144--------------------------------(2)

At the third, he quadrupled his  money and spent $72

4( 6x- 144) - 72

24x - 576 - 72

24x -648-------------------------------(3)

At-last he had $48

24x -648 = 48

24x  = 48+ -648

24x  =696

x = \frac{696}{24}

x = 29

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The ratio of students to teachers at a school is 19 to 1 how many students are there in each total number of people
vladimir2022 [97]

<u>Question</u>:

The ratio of students to teachers at a school is 19 : 1. How many students are there in each total number of people?

A: 100 people

b. 280 people

c.440 people

d.760 people

<u>Answer</u>:

A )95 students  and 5 teachers

B)266 students  and 14 teachers

C)418 students  and 22 teachers

D)722 students  and 38 teachers

<u>Step-by-step explanation:</u>

<u><em>A: 100 people</em></u>

Ratio  =  19  :  1

The sum of the ratio is 19 + 1 = 20

Scale factor  = \frac{100}{20}

scale factor  = 5

The number students is 19 \times 5 = 95

The number of teachers is 1 \times 5 = 5

<em><u>b. 280 people </u></em>

Ratio  =  19  :  1

The sum of the ratio is 19 + 1 = 20

Scale factor  = \frac{280}{20}

scale factor  = 14

The number students is 19 \times 14 = 266

The number of teachers is 1 \times 14 =  14

<em><u>c.440 people</u></em>

Ratio  =  19  :  1

The sum of the ratio is 19 + 1 = 20

Scale factor  = \frac{440}{20}

scale factor  = 22

The number students is 19 \times 22 = 418

The number of teachers is 1 \times 22 =  22

<em><u>d.760 people</u></em>

Ratio  =  19  :  1

The sum of the ratio is 19 + 1 = 20

Scale factor  = \frac{760}{20}

scale factor  = 38

The number students is 19 \times 38 = 722

The number of teachers is 1 \times 38 =  38

5 0
3 years ago
Select the equivalent expression . (2^ -4 * z^ -3 )^ 5 =?
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Step-by-step explanation:

The option is C

= 1/ 2^20 • z^15

Hope it will help :)

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3 years ago
What are the equivalent expressions ?
makvit [3.9K]
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2x+6=21x-14
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Find the value of x<br><br> If 100x =265.0
kakasveta [241]
To solve:

1) Divide both sides by 100

100x/100 = 265/100

x = 2.65
8 0
4 years ago
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Select a solution for:<br> x^2=81/144
Brilliant_brown [7]

Answer:

x=3/4, -3/4

Step-by-step explanation:

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