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Shtirlitz [24]
3 years ago
11

Now that Oakland Auto Reapir has a different owner, its mechanics make $14.20 per hour. That is 25.1% less than they originally

made. How much did the mechanics use to make per hour?
Please show a step-by-step explanation.
Mathematics
1 answer:
Serhud [2]3 years ago
4 0

Answer:

$18.96

Step-by-step explanation:

Now the mechanics earn $14.2 per hour, which is 25.1% less than before.

If we say that the earnings before were 100% (to facilitate our calculation and understand better), now the earrings are (100-25.1)%=74.9%. This is, now they make the 74.9% of what they used to made.

So:

74.9% = 14.2

Let's multiply both sides by 100%/74.9% to make a 100% appear at the left side (see that multiply and divide by 74.9 will make it desapear):

74.9% *(100%/74.9%) = 14.2 * (100%/74.9%)

100% = 14.2 * (100%/74.9%)

And (100%/74.9%) is equal to 1/0.749, they are the same. So:

100% = 14.2 * 1/0.749

100% = 18.96

So, before the new manager they used to make $18.96. (you can verify by multiplying it by 74.9% and the result is 14.2)

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To find the common ratio, divide the second term by the first term

-10 / 2 = -5

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2 * -5 = -10
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3 0
3 years ago
A professora Luísa observou que o numero de meninas de turma dividido pelo numero de meninos dessa turma e 0,48. Qual e o menor
saw5 [17]

Respuesta:

37 estudiantes

Explicación paso a paso:

El número de niños dividido por el número de niñas = 0,48

Dejar :

x = número de niños; y = número de niñas

Tenemos ;

x / y = 0,48

Conversión a decimal;

0.48 es equivalente a 48/100

Reduciendo a la forma más simple:

48/100 = 12/25

Comparando:

x / y = 12/25

x = 12; y = 25

El menor número posible de estudiantes:

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5 0
3 years ago
Adrian is a songwriter who collects royalties on his songs whenever they are played in a commercial or movie. Adrian will earn $
gayaneshka [121]

Answer:

Adrian's songs played on 9 commercials and 5 movies.

Step-by-step explanation:

Let x denotes number of commercials and y denotes number of movies.

Total number of commercials and movies = 14

So,

x+y=14\\x=14-y\,\,\,\,...(i)

Adrian will earn $40 every time one of his songs is played in a commercial and he will earn $130 every time one of his songs is played in a movie

Total amount earned = $1010

40x+130y=1010\,\,\,...(ii)

Put x=14-y in (ii)

40(14-y)+130y=1010\\560-40y+130y=1010\\90y=1010-560\\90y=450\\y=\frac{450}{90}=5

Put y=5 in x=14-y

x=14-5=9

Therefore, Adrian's songs played on 9 commercials and 5 movies.

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3 years ago
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Help me please with an explanation/work, thank you!!
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Answer:

1. 3

Step-by-step explanation:

8 0
3 years ago
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