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arsen [322]
4 years ago
6

Christopher works at the power plant for the southwest part of his home state. For peak operational performance, his department

Mathematics
1 answer:
Licemer1 [7]4 years ago
3 0

Answer:

B) To maintain peak performance for every 50 generators, there are 10 inspectors.

Step-by-step explanation:

For peak operational:

3 electricians for each generator.  ⇒  1 Generator : 3 Electricians

4 inspectors for every 60 electricians. ⇒  60 Electricians : 4 Inspectors

Now, the number of generators the state has now = 50

Let us assume the number of  inspectors  required by the power plant  = m

Now, from the given ratios:

For, 3 electrician there  is 1 generator

⇒ For, 3 x 20 Electrician  there is 1  x 20 Generators.

or, for 60 Electrician there are 20 Generators.   (1)

Also, for 60 Electrician there are 4 inspectors.    (2)

⇒From (1) and (2), we get:

For every 20 generators, there are 4 inspectors.

And, from what we have assumed  For every 50 generators, there are m inspectors.

So, by the RATIO OF PROPORTION:

\frac{20}{4}  = \frac{50}{m}\\ \implies  m = 50 \times\frac{4}{20}  = 10

or, m = 10

Hence, to maintain peak performance for every 50 generators, there are 10 inspectors.

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John is a High School principal. He earns $62,299.92 a year and is paid on a semimonthly basis. How much is deducted per pay per
LenKa [72]

Answer alongwith Step-by-step explanation:

<u>1. Social Security</u>

Here Gross income = $62,300

Step 1 Find semiannual income

Semimonthly gross income = $62,300 / 24 = $2595.83

Step 2 Find the social security liability using social security rate and annual income

Social security rate is 6.2%

Social Security Liability = 6.2% x $2595.83 = $160.94 semimonthly payments

Step 3 Find the social security liability using social security rate and annual income

Deduction amount for Social security on monthly basis = $160.94 *2 =

$321.88 per month

<u>2. Medicare</u>

Here Gross income = $62,300

Step 1 Find semiannual income

Semiannual Gross income = $62,300 / 24 = $2595.83

Step 2 Find the social security liability using Medicare rate and annual income

Medicare rate is 1.45%

Medicare Liability = 1.45% x $2595.83 = $37.64 semimonthly payments

Step 3 Find the social security liability using Medicare rate and annual income

Deduction amount for Social security on monthly basis = $160.94 *2

= $75.28 per month

8 0
3 years ago
Toby exercises 14 hours a week. John exercises 20% more than Toby and Jenny exercises two more hours than John. Which expression
sleet_krkn [62]
John exercised 20% more than Toby. So the number of hours that John exercises per week is 14 + 0.2(14) = 14 + 2.8 = 16.8.

Jenny exercises two more hours than John. So the number of hours that Jenny exercises per week is 16.8 + 2 = 18.8.

So an expression representing the number of hours that Jenny exercises after w weeks is 18.8w.
8 0
3 years ago
Read 2 more answers
Please simplify 10{N + 3).
lana [24]

Answer:

Step-by-step explanation:

I must assume that you meant 10(N + 3).  Let's not mix { with ).

10(N + 3) is as simple as this expression gets.  You could, however, re-write it as 10N + 30.

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3 years ago
Please help! I’ve been trying to find the answer to this problem and couldn’t &amp; I can’t find the answers anywhere!
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3 years ago
has 8 times as many rocks in his collection as carter. carter and jacey have 54 rocks altogether. how many rocks does jacey have
lions [1.4K]

Answer:

Jacey has 48 rocks. Carter has 6 rocks.

If Carter and Jacey are the only factor owners of 54 rocks

We divide 48 by 8 = 6 rocks: 42 difference;

Which is also 54  as 6 + 48 = 54

They now have 48 difference

6,6, 6,6, 6,6, 6,6 = 48

We see 48 - 6 = 42.

We also see 48 + 6 = 54

54=6 = 48

48 difference is the denominating divider; meaning 48/8 = 6 is how we first find the answer before adding on the 6 to show the difference of 8 equal shares.

7 0
3 years ago
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