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3 years ago

Melinda worked 6.5 hours at her job. She makes $9.50 per hour. How much money did she earn for the day ?

Mathematics

1 answer:

sergij07 [2.7K]3 years ago

3 0

Answer:

$61.75

Step-by-step explanation:

Melinda worked 6.5 hours at her job.

She makes $9.50 per hour.

For that day, she earned;

6.5 × $9.50 = $61.75

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4 years ago

Find the measure of line f and g

kiruha [24]

In this case we use intersecting secant theorem

According to this theorem, GF*GE = GH*GA

So,we plug in the values

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(x-3)*(x+6) =(x-2)*(x+4)

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3 years ago

The sum of the digits of a 2-digit number is 10. If 18 is added to the number, the digits of the new number are those of the ori

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Answer:

Step-by-step explanation:

Let $(ab)$ represent a number with $a$ in the ten's position and $b$ is the one's position.

This means $(ab)$ actually has value of $10a+b$ .

We are given the sum of those digits of $(ab)$ is 10; this means $a+b=10$ .

It says if 18 is added to the number $(ab)$ , then the result is $(ba)$ .

So $(ab)$ has value $10a+b$ and

$(ba)$ has value $10b+a$ .

We are given then:

$(ab)+18=(ba)$

$10a+b+18=10b+a$

Subtract $10a$ on both sides:

$b+18=10b+a-10a$

Simplify:

$b+18=10b-9a$

Subtract $b$ on both sides:

$18=10b-b-9a$

$18=9b-9a$

Divide both sides by 9:

$2=b-a$

Rearrange by commutative property:

$2=-a+b$

So the system of equations we want to solve is:

$a+b=10$

$-a+b=2$

-------------------------Add equations together (this will eliminate the variable $a$ and allow you to go ahead and solve for $b$ :

$0+2b=12$

$2b=12$

Divide both sides by 2:

$b=\frac{12}{2}$

Simplify:

$b=6$

If $b=6$ and $a+b=10$ , then $a=4$ . $a=4$ since 4+6=10.

So the original number is (46).

18 more than 46 is 18+46=(64) which is what we wanted.

We also have the sum of 4 and 6 is 10 as well.

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Answer:

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