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lesya [120]
3 years ago
10

Jared started a new job. On the first day he had orientation and worked for 2 hours. On the second day he trained for 4 hours. A

fter that, Jared worked 8 hours each day. If his first paycheck shows that he is being paid for 94 hours of work, how many days did he work a full 8-hour day?
Mathematics
1 answer:
tresset_1 [31]3 years ago
5 0

Answer:

Jared worked 11 days as full 8-hour days.

Step-by-step explanation:

We have:

First day = 2 h

Second day = 4 h

After that = 8 h each day    

Since his paycheck shows 94 hours of work, we can find the number of days that he works 8-hour day:

94 h = 2 h + 4 h + 8 h*x

Where x is the number of days that he works 8-hours.

8 h*x = 88 h

x = \frac{88 h}{8 h} = 11

 

Therefore, Jared worked 11 days as full 8-hour days.

I hope it helps you!                                              

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Answer:

0.5mL of the injection should be administered to obtain 0.02 g of the drug.

Step-by-step explanation:

First step: The first step of this problem is the conversion of 0.02g to mg.

Each gram has 1000 miligrams. So:

1g - 1000mg

0.02g - xmg

x = 1000*0.02

x = 20mg

Final step:

A vial contains 80 mg of drug in 2 mL of injection. How many mL should be administered to obtain 0.02 g = 20mg of the drug.

This can be solved as a rule of three problem.

In a rule of three problem, the first step is identifying the measures and how they are related, if their relationship is direct of inverse.

When the relationship between the measures is direct, as the value of one measure increases, the value of the other measure is going to increase too.

When the relationship between the measures is inverse, as the value of one measure increases, the value of the other measure will decrease.

In this step, as the dose of the injection increases, so the quantity of the drug. So the relationship between the measures is direct. So:

80 mg - 2mL

20 mg - xmL

80x = 40

x = \frac{40}{80}

x = 0.5mL

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Step-by-step explanation:

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