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exis [7]
2 years ago
10

The yoga instructor at Universe Fitness spent $1,925 on 200 items for the upcoming yoga seminar. He purchased yoga mats for $12.

50 each, yoga towels for $8.00 each, and carrying cases for $10.00 each*. He purchased twice as many towels as mats.
Part A: Define variables and write a system of equations to represent the situation.

Part B: The instructor’s bookkeeper was auditing books. She noticed that in this transaction, the instructor purchased 200 items: 25 mats, 50 towels, and 125 carrying cases. Are the records accurate? Justify your answer.
Mathematics
1 answer:
Alex17521 [72]2 years ago
4 0

Answer:

The auditing book is not accurate

Step-by-step explanation:

25($12.5)+50($8)+125($10)+= $1,925

$312.5 + $400 + $1,250 = $1,925

$1,962.5 not= to $1,925

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skelet666 [1.2K]
Given:
Kristen owns 61 shares of Prince Waste Collection
Kristen owns 45 shares of Nar Heating/Cooling

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Prince Waste
Collection                  61                             16.59                   1,011.99
Nar Heating/
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If Kristen sells all of her stocks, she will receive a total of $1,366.59
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Lucinda began the year with a certain balance in her bank account. During the first month, she made 3 withdrawals of $25 each. D
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A and D !!!!!!!!!!!!!!
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The most popular mathematician in the world is throwing aparty for all of his friends. As a way to kick things off, they decidet
ratelena [41]

Answer:

The no. of possible handshakes takes place are 45.

Step-by-step explanation:

Given : There are 10 people in the party .

To Find: Assuming all 10 people at the party each shake hands with every other person (but not themselves, obviously) exactly once, how many handshakes take place?

Solution:

We are given that there are 10 people in the party

No. of people involved in one handshake = 2

To find the no. of possible handshakes between 10 people we will use combination over here

Formula : ^nC_r=\frac{n!}{r!(n-r)!}

n = 10

r= 2

Substitute the values in the formula

^{10}C_{2}=\frac{10!}{2!(10-2)!}

^{10}C_{2}=\frac{10!}{2!(8)!}

^{10}C_{2}=\frac{10 \times 9 \times 8!}{2!(8)!}

^{10}C_{2}=\frac{10 \times 9 }{2 \times 1}

^{10}C_{2}=45

No. of possible handshakes are 45

Hence The no. of possible handshakes takes place are 45.

4 0
2 years ago
In the United States, 75 percent of adults wear glasses or contact lenses. A random sample of 10 adults in the United States wil
V125BC [204]

Answer:

0.4745 is the probability that fewer than 8 of the selected adults wear glasses or contact lenses.

Step-by-step explanation:

We are given the following information:

We treat adult adults wear glasses or contact lenses as a success.

P(Adults wear glasses or contact lenses) = 75% = 0.75

Then the number of adults follows a binomial distribution, where

P(X=x) = \binom{n}{x}.p^x.(1-p)^{n-x}

where n is the total number of observations, x is the number of success, p is the probability of success.

Now, we are given n = 10

We have to evaluate:

P(fewer than 8 of the selected adults wear glasses or contact lenses)

P(x < 8)\\=1 - P(x = 8) - P(x = 9) - P(x = 10)\\=1 - \binom{10}{8}(0.75)^8(1-0.75)^2 - \binom{10}{9}(0.75)^9(1-0.75)^1- \binom{10}{10}(0.75)^10(1-0.75)^0\\=1 - 0.2815-0.1877-0.0563\\= 0.4745

0.4745 is the probability that fewer than 8 of the selected adults wear glasses or contact lenses.

4 0
2 years ago
Eva had 7/8 gallon of paint. His brother ivan used 1/4 gallon to paint his model boat. Eva needs at least 1/2 gallon to paint he
algol13

Answer: .625 (yes he did leave enough


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but there are other ways if this one is to hard  


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