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zimovet [89]
8 months ago
8

A home improvement store is giving away 10% off coupons to every 10th customer, 20% off coupons to every 25th customer, and a fr

ee workshop lesson to every 100th customer. What customer will be the first to receive all three prizes?
Mathematics
1 answer:
ololo11 [35]8 months ago
8 0

The first common multiple between 100, 25, and 10, is 100.

This means that the first customer that receives the 3 prizes is the 100th customer.

<h3>What customer will be the first to receive all 3 prizes?</h3>

Here we know that:

  • Every 10th customer gets the 10% coupon.
  • Every 25th customer gets the 20% coupon.
  • Every 100th customer gets the free workshop.

The first customer that gets the 3 prizes is a customer that is a 10th customer, a 25th customer, and a 100th customer at the same time.

Then we need to find the first common multiple between 10, 25, and 100.

This is really trivial, as we know that:

10*10 = 100

So 100 is a multiple of 10.

25*4 = 100

So 100 is a multiple of 25.

Then the first common multiple between 100, 25, and 10, is 100.

This means that the first customer that receives the 3 prizes is the 100th customer.

If you want to learn more about common multiples:

brainly.com/question/10749076

#SPJ1

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Firlakuza [10]

Answer:

1st pic) 17.8

2nd pic) 16.8

3rd pic) 9.1

4th pic) 13.5

Step-by-step explanation:

<u>1st pic:</u> cos = \frac{adjacent}{hypothenuse}

(write equation) Cos 27 (cos 27 = 0.89) = \frac{x}{20}

(new equation) 0. 89 = \frac{x}{20}

(multiply 20 on both sides) 0.89 x 20 = \frac{x}{20} x 20

(solve) 17.8 = x

<u>2nd pic:</u> tan = \frac{adjacentx}{hypothenuse}

(write equation) tan 40 (tan 40 = 0.84) = \frac{32}{x}

(new equation) 0.84 =  \frac{32}{x}

(multiply 32 on both sides) 0.84 x 20 =  \frac{32}{x} x 20

(solve) 16.8 = x

<u>3rd pic:</u> cos = \frac{adjacent}{hypothenuse}

(write equation) cos 55 (cos 55 = 0.57) = \frac{16}{x}

(new equation) 0.57 = \frac{16}{x}

(multiply 16 on both sides) 0.57 x 16 = \frac{16}{x} x 16

(solve) 9.1 = x

<u>4th pic:</u> tan = \frac{adjacentx}{hypothenuse}

(write eqaution) tan 42 (tan 42 = 0.90) = \frac{x}{15}

(new equation) 0.90 = \frac{x}{15}

(multiply 15 on both sides) 0.90 x 15 = \frac{x}{15} x 15

(solve) 13.5 = x

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2 years ago
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BlackZzzverrR [31]
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3 years ago
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Vladimir [108]

Answer:

270 yds squared    

Step-by-step explanation:

You need to area of each of the shapes that make up the triangular prism. So, the side triangles, the back rectangle, the bottom rectangle and the top rectangle.

Side triangle (1x): base*height/2

12*5/2

60/2

30 yds, 60 yds for both sides.

Back rectangle: length*width

5*7

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Bottom Rectangle: length*width

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Top rectangle: length*width

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To get the final answer, you add the surface areas together to get the final amount of yards: 30+30+35+84+91= 270 yds squared. Hope this helps.

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2 years ago
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Gwar [14]

Answer:

<h3>The answer is option C</h3>

Step-by-step explanation:

Since it's a right angled triangle we can use trigonometric ratios to find the value of ∠Y

To find the value of ∠Y we use tan

We have

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We have the final answer as

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Hope this helps you

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Answer:2-4=

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