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Oliga [24]
3 years ago
11

A belt and a wallet cost $42 while 7 belts and 4 wallets cost $213. Calculate the cost of each item.

Mathematics
2 answers:
irina1246 [14]3 years ago
6 0
4 pair × $42 = 168
3 belts cost 45 and one will cost 15
if belt costs 15 wallet will cost $27
Fittoniya [83]3 years ago
3 0
Let, the cost of a belt = x
cost of a wallet = y

Then, system of equations would be:
x + y = 42
7x + 4y = 213

Multiply 1st equation by 4, 
4x + 4y = 168
Substitute it from 2nd equation, 
3x = 45
x = 15

Now, substitute it in 1st equation, 
15 + y = 42
y = 42 - 15 = 27

In short, Belt costs $15 and wallet costs $27

Hope this helps!
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Answer:

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Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 4 minutes

Standard Deviation, σ = 0.25 minutes

We standardize the given data.

Formula:

z_{score} = \displaystyle\frac{x-\mu}{\sigma}

P(more than 4.25 minutes to solve a problem)

P( x > 4.25) = P( z > \displaystyle\frac{4.25 - 4}{0.25}) = P(z > 1)

= 1 - P(z \leq 1)

Calculation the value from standard normal z table, we have,  

P(x > 4.25) = 1 - 0.8413 = 0.1587 = 15.87\%

Thus,15.87% is the chance that Scott takes more than 4.25 minutes to solve a problem at an academic bowl.

8 0
3 years ago
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stepan [7]

Answer:

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Step-by-step explanation:

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then divide by 3

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8 0
3 years ago
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zmey [24]
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Answer:

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Step-by-step explanation:

The distance between two points can be easily found by using the following expression

d = √((x1-x2)^2 + (y1-y2)^2)

where

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4 0
3 years ago
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Answer:

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Step-by-step explanation:

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