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umka2103 [35]
3 years ago
9

Paul, Colin and Brian are waiters.

Mathematics
1 answer:
snow_lady [41]3 years ago
4 0

Answer:

Paul gets £2(9.8) = £19.6, and

Colin gets          £1(9.8)  = £9.8, and

Brian gets          £5(9.8) = £49

Step-by-step explanation:

Find the multiplier x in 2x + 1x + 5x = £78.40.

Summing up the left side:  8x = 78.40

Dividing both sides by 8 to isolate x:

x = 9.8

Then Paul gets £2(9.8) = £19.6, and

Colin gets          £1(9.8)  = £9.8, and

Brian gets          £5(9.8) = £49

As a check, add these together; the sum must be £78.40:

£19.6 + £9.8 + £49 = £78.40.  So our figures are correct.

Brian gets £49 and Colin gets £9.8.  Subtracting, we obtain:

£39.20.  This is the amount by which Brian's tips exceeds Colin's.

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Answer:

B

Step-by-step explanation:

From annual salary of 42,600, we have to subtract the following percentages:

<u>Social Security:</u>

0.062 * 42,600 = 2641.2

<u>Medicare:</u>

0.014 * 42,600 = 596.4

<u>State Income Tax:</u>

0.03 * 42,600 = 1278

<u>Federal Income Tax:</u>

0.13 * 42,600 = 5538

<u>Total Deductions</u> (from percentages) = 2641.2 + 596.4 + 1278 + 5538 = 10053.6

Now, remaining salary:

42,600 - 10053.6 = 32546.4 (annual)

Divided by 12 to get monthly:

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5 0
2 years ago
The diagram shows an empty cylindrical container. Ana puts a solid cube of side length 8 cm into the container. She then pours 1
marshall27 [118]

Answer:

<h3><u>Cylinder</u></h3>

\textsf{Volume of a cylinder}=\sf \pi r^2 h \quad\textsf{(where r is the radius and h is the height)}

Given:

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  • h = 18 cm

\begin{aligned}\implies \sf V &= \sf \pi (6)^2(18)\\& = \sf 648 \pi \: cm^3\end{aligned}

<h3><u>Cube</u></h3>

\textsf{Volume of a cube}=\sf x^3\quad\textsf{(where x is the side length)}

Given:

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\begin{aligned}\implies \sf V &= 8^3\\& = \sf 512 \: cm^3\end{aligned}

<h3><u>Volume available to be filled with water</u></h3>

Volume of cylinder - volume of cube

= 684π - 512

= 1532.75204 cm³

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⇒ 1.5 litres = 1000 × 1.5 = 1500 cm³

As 1500 < 1532.75204, the volume of water poured into the container is smaller than the empty space available in the cylinder.  Therefore, the water will <u>not</u> come over the top of the container.

4 0
2 years ago
I need a little help
yanalaym [24]

Answer:

450 simple

Step-by-step explanation:

3 0
2 years ago
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