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Katyanochek1 [597]
2 years ago
7

At a dinner, one meal cost $22 and a sales tax of $1.87 was added to the bill.

Mathematics
1 answer:
raketka [301]2 years ago
3 0

Answer:

5.61; 8.5 %

Step-by-step explanation:

Tax = $1.87 per $22 meal

For a $66 meal,

Tax = 66 × 1.87/22

Tax = 3 × 1.87

Tax = $5.61

=====

Tax rate = 1.87/22 × 100

Tax rate = 0.085 × 100

Tax rate = 8.5 %

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The percent of working students increased 8.1 to 40.5 what was the present prior to increase
Dmitrij [34]

Answer:

  32.4

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prior + 8.1 = 40.5 . . . . . . seems to model the problem statement

prior = 32.4 . . . . . . . subtract 8.1 from both sides

Prior to the increase the percent was 32.4.

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<em>Comment on the problem statement</em>

When you're talking about a percentage increase in a percentage, it is almost never clear whether you're talking about the percentage of the underlying number, or the percentage of the percentage.

Here, we assume the 8.1 is a percentage of working students, not a percentage of the percentage of workings students. If you actually intend the latter, the percentage before the increase was about 37.465%.

6 0
2 years ago
There is a balcony that forms part of a circle around a stage, and they need to put up a safety railing. How long of a railing d
alexandr1967 [171]

A sector is a <u>part</u> of a <u>circle</u> that is formed by two<em> radii,</em> and an <em>arc</em>. So that the length of the <em>safety railing</em> required is 31.4 feet.

A sector is a <em>part </em>of a <u>circle</u> that is formed by two <u>radii</u>, and an <u>arc</u>, thus forming a <em>central</em> angle.

Thus the required <em>length</em> of safety railing can be considered as the <u>arc</u> of the<em> sector. </em>

So that;

<u>length</u> of an <u>arc</u> = (θ / 360^{o}) * 2\pir

where θ is the <u>measure</u> of the <em>central angle</em> of the sector, and r is the <u>radius</u> of the sector.

From the given question, θ = 45°, and r = 40 feet.

So that,

<u>length</u> of the<em> safety railing </em>= (45° / 360^{o}) * 2 * 3.14 * 40

                                 = 0.125 * 2* 3.14* 40

<u>length</u> of <em>safety railing</em> = 31.4

Therefore, the <u>length</u> of the <em>safety railing</em> required is 31.4 feet.

For more clarifications on the length of an arc, visit: brainly.com/question/2005046

#SPJ1

6 0
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