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bixtya [17]
2 years ago
5

A dental laboratory technician earns $14 per hour when she work days and $18 per hour when she works nights. One month she works

six 4 hour days, three 8-hours days, three 10-hour days, five 6-hour nights, and four 8-hour nights. What is her total pay for the month?
Mathematics
1 answer:
Alla [95]2 years ago
5 0

Answer:

Her total pay for the month is $2208

Step-by-step explanation:

A dental laboratory technician earns $14 per hour when she work days and $18 per hour when she works nights.

One month :

She works six 4 hour days

So,total hours = 6 \times 4 = 24 hours

Three 8-hours days = 3 \times 8 = 24 hours

Three 10-hour days = 3 \times 10 = 30 hours

So, Total day hours = 24+24+30=78 hours

Cost of 1 hour day = $14

Cost of 78 hours day = 14 \times 78 =1092

Five 6-hour nights= 5 \times 6 = 30 hours

Four 8-hour nights =4 \times 8 = 32 hours

Total night hours = 30+32=62 hours

Cost of 1 night hour = $18

Cost of 62 night hour = 62 \times 18=1116

So, Total pay for month = $1092+$1116 =2208

Hence her total pay for the month is $2208

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Step-by-step explanation:

we know that

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Suppose triangle TIP and triangle TOP are isosceles triangles. Also suppose that TI=5, PI=7, and PO=11. What are all the possibl
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<h3>Two answers: 5, 7</h3>

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

Explanation:

A drawing may be helpful to see what's going on. Check out the diagram below. This is one way of drawing out the two triangles. The locations of the points don't really matter, and neither does the the orientation of how you rotate things. What does matter is we have the right points connected to form the segments mentioned.

----------

For now, focus on triangle TIP only. In order to have this be isosceles, we must make TP = 5 or TP = 7.

If TP = 5, then it's the same length as TI.

If TP = 7, then it's the same length as PI.

In either case, we have exactly two sides the same length (the other side different) which is what it means for a triangle to be isosceles.

----------

Let's consider triangle TOP. For it to be isosceles, we must have two sides the same length. We already locked in TP to be either 5 or 7 in the previous section above. So there's no way that TP could be 11 units long to match up with PO = 11.

If TP = 5, then OT must also be 5 units long so that triangle TOP is isosceles.

If TP = 7, then OT = 7 for similar reasoning.

Either way, TP only has two choices on what it could be.

----------

In short, we basically just write the first two values given to us to get the two triangles to be isosceles. We can't use TP = 11 as it would make triangle TIP to be scalene (all sides are different lengths).

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Step-by-step explanation:

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313.75 I believe that is the correct answer or som
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Answer:

See explanation

Step-by-step explanation:

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4 step: \overline {JL}\cong \overline {JK}+\overline {KL} - Segments Addition Postulate

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6 step: \overline{GH}\cong \overline {KL} - given

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