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castortr0y [4]
3 years ago
6

You earn $28 for washing 7 cars. How much do you earn for washing 6 cars?

Mathematics
1 answer:
iren [92.7K]3 years ago
5 0

━━━━━━━━━━━━━━━ ♡ ━━━━━━━━━━━━━━━  

Since you can earn 28 dollars by washing 7 cars, and you want to find the amount money you can make by washing 6 cars.

\frac{28}{7} = \frac{x}{6}

First, you should find the amount of money you can make by washing 1 car (unit rate).

\frac{28}{7} = \frac{x}{1}

To get from 7 to 1, you have to divide 7 by 7; 7 ÷ 7 = 1.

Do the same thing to the numerator; 28 ÷ 7 = 4.

Now you know how much you make by washing 1 car, you need to find how much you make by washing 6 cars.

\frac{4}{1} = \frac{x}{6}

To get from 1 to 6, you multiply by 6. 1 times 6 equals 6.

Now do the same thing to the numerator; 4 × 6 = 24.

You can earn 24 dollars by washing 6 cars.

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====================================================

Reason:

60% = 60/100 = 0.6 is the probability of making any given free-throw.

1 - 0.6 = 0.4 is the probability of missing any given free-throw.

We have these probabilities

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The probability of making exactly one free throw is A+B = 0.24+0.24 = 0.48

Convert this to a fraction:

0.48 = 48/100 = (4*12)/(4*25) = 12/25

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3 years ago
In a right ABC with B and C complementary, sin B = p and cos B = q. What is sin C – cos C?
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1 year ago
Solving systems of equations using any method
andreev551 [17]

Answer:

x = 5 , y = 2

Step-by-step explanation:

Solve the following system:

{y = (7 x)/5 - 5 | (equation 1)

{y = (3 x)/5 - 1 | (equation 2)

Express the system in standard form:

{-(7 x)/5 + y = -5 | (equation 1)

{-(3 x)/5 + y = -1 | (equation 2)

Subtract 3/7 × (equation 1) from equation 2:

{-(7 x)/5 + y = -5 | (equation 1)

{0 x+(4 y)/7 = 8/7 | (equation 2)

Multiply equation 1 by 5:

{-(7 x) + 5 y = -25 | (equation 1)

{0 x+(4 y)/7 = 8/7 | (equation 2)

Multiply equation 2 by 7/4:

{-(7 x) + 5 y = -25 | (equation 1)

{0 x+y = 2 | (equation 2)

Subtract 5 × (equation 2) from equation 1:

{-(7 x)+0 y = -35 | (equation 1)

{0 x+y = 2 | (equation 2)

Divide equation 1 by -7:

{x+0 y = 5 | (equation 1)

{0 x+y = 2 | (equation 2)

Collect results:

Answer:  {x = 5 , y = 2

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