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soldi70 [24.7K]
3 years ago
9

Marco earns $36.50 per hour show that the relationship between the amount he earns and the number of hours he works is proportio

nal write an equation for the relationship
Mathematics
1 answer:
Korolek [52]3 years ago
3 0

To establish this equation we first need to assign some variables.

Let us assign x as the number of hours he has worked

and assign y as the total amount of money that he has earned

Therefore the equation y=36.50x is the equation that correctly represents how much money he makes regardless of how many hours he works.  Just plug in how many hours you want for x and then solve the equation and you will get how much money he makes in x amount of hours.  This is also proportional because for every hour that he works he gets the same salary of 36.50.  It is proportional because no matter how many hours he works the salary will go up the same amount for each extra hour he works.  The proportion is 36.50 dollars per hour worked.

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25. John hired a plumber who charges a flat fee of $75 plus $55 per hour. The total charge
mestny [16]

Answer: 55x + 75 = 350; 5 hours

Step-by-step explanation:

What we know:

- A flat fee is $75

- John charges $55 an hour

- The total charge is $350

We need to write an equation to find how many hours John works.

<em>x </em>will represent hours worked.

55x + 75 = 350

We now need to solve for x.

Subtract 75 from both sides.

55x + 75 - 75 = 350 - 75

Simplify.

55x = 275

Divide 55 from both sides.

55x/55 = 275/55

Simplify.

x = 5

John worked 5 hours.

To check our work, we just plug in our x value!

55(5) + 75

275 + 75 = 350

3 0
3 years ago
PLEASE HELP For a particular​ transformer, the voltage E in the circuits is related to the number of windings W of wire around t
Masja [62]

Answer:

A voltage of 760V will be produced by 19 windings.

Step-by-step explanation:

Given the equation:

E = 40W

Where E is the Voltage in the circuits

and W is the number of windings

<u>Given</u> that E = 760V

<u>To find:</u> W = ?

<u>Solution:</u> Here, we have the given equation in 2 variables where value of 1 variable is given so other can be easily calculated by putting the value of given variable in the equation.

So, Putting the value of E in the given formula and finding W, the number of windings:

760=40 \times W\\\Rightarrow W = \dfrac{760}{40}\\\Rightarrow W = \dfrac{76}{4}\\\Rightarrow W = 19

So, number of windings for a voltage E = 760V is 19.

A voltage of 760V will be produced by 19 windings.

5 0
3 years ago
Jaden deposited $9000 in a savings account with a simple interest .Two years later the account held up $10,440 what is the inter
Ber [7]

Answer:

Step-by-step explanation:

The simple interest formula is

I = Prt, where I is the interest earned, P is the initial investment, r is the interest rate in decimal form, and t is the time in years.  We have that after 2 years, 9000 has turned into 10440.  That means that the total interest earned was 10440 - 9000 = 1440

I = 1440

P = 9000

r = ?

t = 2

Filling in we have

1440 = 9000(r)(2) and

1440 = 18000r so

r = .08

As an interest rate, we multiply this by 100 to get 8%

4 0
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