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algol13
3 years ago
14

During a promotional event a sporting good store gave a free t-shirt every eighth customer and a free water bottle every 10th cu

stomer which customer was the first to get a free t-shirt and a free water bottle
Mathematics
1 answer:
liq [111]3 years ago
5 0

Answer:

40th customer

Step-by-step explanation:

Given that there is a promotional event

A sporting good store gave t shirt and free water bottle.

T shirt was given to 8th customer and water bottle to every 10th customer.

For the first person who should get both, he should have number as least common multiple of 8 and 10

8 = 2x2x2

10 = 2x5

Hence least common denominator = 2x2x2x5 = 40

Thus 40th customer will be the first to get both.


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Slips of paper numbered 1 to 15 are placed in a box. A slip of paper is drawn at random. What is the probability that the number
monitta

Given:

Slips of paper numbered 1 to 15 are placed in a box.

To find:

The probability that the number picked is either a multiple of 5 or an odd number.

Solution:

We have,

Total outcomes = 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15

No. of total outcomes = 15

Multiple of 5 are 5, 10, 15.

Odd numbers are 1, 3, 5, 7, 9, 11, 13, 15.

Number that are either a multiple of 5 or an odd number are 1, 3, 5, 7, 9, 10, 11, 13, 15.

No. of favorable outcomes = 9

We know that,

\text{Probability}=\dfrac{\text{Favorable outcomes}}{\text{Total outcomes}}

\text{Probability}=\dfrac{9}{15}

\text{Probability}=\dfrac{3}{5}

\text{Probability}=0.6

Therefore, the  probability that the number picked is either a multiple of 5 or an odd number is 0.6.

8 0
3 years ago
an amusement park charge 35.50 for admission.on saturday,6,789 people visited the park.about how much money did the park earn fr
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6,789
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35.50
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3 0
3 years ago
Read 2 more answers
Sam and Avery are making small and large birdhouses for an upcoming craft show. They will sell the small birdhouses for $10 and
kupik [55]

Answer:

<h2>They should make 8 small ones and 12 large ones.</h2><h2>$260 they will make in total.</h2>

Step-by-step explanation:

They want to make as much money as possible.

Small bird house gives them $10 and large birdhouse give them $15.

Avery has time to decorate 12 birdhouse of either size.

Hence, to maximize the earning, Avery should build 12 large ones.

Sam can make any of the combination below in 24 hours.

4 Large and 1 small bird house, which will make 4 \times 15 + 10 = 70

3 Large and 3 small bird house, which will make 3 \times15 + 3 \times10 = 75

2 Large and 4 small bird house, it will gain 2 \times15 + 4 \times10 = 70

1 Large and 6 small bird house, it will make 1 \times15 + 6 \times10 = 75

8 small bird house, which will gain 8\times10 = 80

The profit will be maximize if Sam build 8 small bird houses.

Thus, they will make 80 + 12\times15 = 260.

5 0
3 years ago
What would be the steps to solving this problem?<br><br> <img src="https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B3%7D" id="TexFormula
lidiya [134]
Isolate the variable by dividing each side by factors that don’t contain the variable.

X = -2

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3 0
2 years ago
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Digiron [165]

Answer:

Side length = 5.8 in

Perimeter = 29

Area = 58 in²

Step-by-step explanation:

✔️Find Side length using trigonometric ratio:

Angle at center of a pentagon is always 36° (we have measure of a full circle, 360, divided by 10 smaller triangles = 36°)

So:

Reference angle = 36°

Adjacent side = 4 in.

Opp = ½ of the side length of the polygon = x (let's represent this as x)

Thus, apply TOA:

Tan 36 = Opp/Adj

Tan 36 = x/4

4*Tan 36 = x

x ≈ 2.9 in (nearest tenth)

Side length = 2*x = 2*2.9 = 5.8 in

✔️Perimeter = 5*side length

Perimeter = 5*5.8 = 29 in

✔️Area = ½aP

Where,

a = 4 in

P = 29

Plug in the values

A = ½*4*29

A = 58 in²

8 0
2 years ago
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