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Kobotan [32]
1 year ago
14

Fred earns $16.50 an hour for overtime. He worked overtime on Monday and Thursday this week. On Monday, he worked 4 hours of ove

rtime. His total overtime pay for the week was $123.75.
Write and solve an equation to find the number of overtime hours, h, Fred worked on Thursday.
Mathematics
1 answer:
baherus [9]1 year ago
4 0

Answer:

3.5 hours

Step-by-step explanation:

16.50*4=$66

123.75-66=57.75

57.75/16.5=3.5 hours

123.75-4x=h

x is pay

h is hours worked

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Lucy has to run two errands. She starts from home and travels 3 miles south to the post office. From the post office, she travel
alexira [117]

Answer:

the correct choice is A. At the gas station

Step-by-step explanation:

Lucy starts at home and travels 3 miles south to the post office. From the post office, she travels 4 miles east to the gas station. As it is known south and east directions form right angle. Since the entire trip forms a triangle, this triangle is right with right angle at the post office.

Call the vertices of this triangle P - post office, G - gas station, H - home. Then HP and PG are legs of this triangle and GH is hypotenuse.

From the given data:

HP=3;

PG=4;

GH=5;

∠P=90°.

The smallest angle is opposite to the smallest side. The smallest side is leg HP, so the smallest angle is G that is the angle at gas station.

6 0
1 year ago
Read 2 more answers
To buy a computer, Raquel borrowed $3,000 at 9%
kumpel [21]

Answer:

$4080

Step-by-step explanation:

We have the amount she will pay back, but first, we need to find the Interest accrued.

Simple Interest is given as:

I = \frac{P * R * T }{100}

where P = principal

R = rate

T = time taken (in years)

Therefore, the interest on $3,000 at 9%  simple interest for 4 years is:

I = \frac{3000 * 9 * 4}{100}

I = $1080

Therefore, the amount she will pay back is:

$3000 + $1080 = $4080

6 0
1 year ago
What is the quotient of StartFraction negative 8 x Superscript 6 Baseline Over 4 x Superscript negative 3 Baseline EndFraction?
scZoUnD [109]

Answer:

Option D.

Step-by-step explanation:

We need to find the quotient of  

\dfrac{-8x^6}{4x^{-3}}

It can rewritten as

\dfrac{-8}{4}\times \dfrac{x^6}{x^{-3}}

-2\times x^{6-(-3)}      [\because \dfrac{a^m}{a^n}=a^{m-n}]

-2x^{6+3}  

-2x^{9}  

The required expression is -2x^{9} .

Therefore, the correct option is D.

8 0
1 year ago
Your boss hands you the monthly data that show the number of orders coming into and out of the warehouse. The data are in the ta
exis [7]

The number of orders in is equal to the number of orders out in month 4 (April). It appears the solution represents the time at which warehouse shipments caught up with order quantities.

_____

For this table to make any sense, we have to assume that the year started with 3 orders in January, and that one order was shipped in January. Then the number of orders was 1 or 2 each month after that, and the number of orders shipped per month was 2 each month after that. That is, the tables represent year-to-date totals of orders in and out.

<em>Alternate Interpretation</em>

If the numbers here are actual orders in and out in each of the listed months, it appears the warehouse is getting better at shipping orders. That is, they are increasing the shipment rate by 2 orders a month each month. They will eventually ship enough to cover the total number of orders in (total of 20 by April), but total shipments through April only amount to 16 orders.

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1 year ago
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spayn [35]

Answer: 600

Step-by-step explanation:

5 0
1 year ago
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