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sineoko [7]
3 years ago
10

Souvenir hats, T-shirts, and jackets are sold at a rock concert. Three hats, two T-shirts, and one jacket cost $140. Two hats, t

wo T-shirts, and two jackets cost $170. One hat, three T-shirts, and two jackets cost $180. Find the prices of the individual items.
Mathematics
1 answer:
Sergio039 [100]3 years ago
6 0

Let \:  x \:  be  \: the \:  price  \: of \:  a  \: hat,  \: y  \: be  \: the  \: price \:  of  \: a  \: T-shirt,  \: and \:  z  \: be \:  the \:  price \:  of \:  a \:  jacket.  \: We  \: have \:  a  \: system \:  of \:  equations: \\ 3x + 2y + z = 140 \\ x + y + z = 85 \\ x + 3y + 2z = 180 \\ x = 15 \\ y = 25 \\ z = 45.  \\ So  \: the  \: price \:  of  \: a \:  hat \:  is  \: 15, \:  a \:  T-shirt  \: is  \: 25 \:  and \:  a  \: jacket  \: is \:  45.
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Leni [432]

Answer:

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Step-by-step explanation:

(x/3) = (x + 2)/2

x = 3*(x+2)/2   [Multiply both sides by 3]

x = (3x + 6)/2

x = (3/2)x + 6/2

x - (3/2)x = 3

-0.5x = 3

x = -6

====================

Check:

Does (x/3) = (x + 2)/2 for x = -6?

(-6/3) = (-6 + 2)/2

-2 = -4/2

-2 = -2  YES

6 0
2 years ago
What is the area of a semicircle with a 15 inch radius
Zanzabum

Answer:

353.43

Step-by-step explanation:

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3 0
4 years ago
Problem is in the pictures
marta [7]

Answer:

<h2>(-5, 3)</h2>

Step-by-step explanation:

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3 0
3 years ago
The function j(x)=39x represents the number of jumping jacks j(x) you can do in x minutes. How many jumping jacks can you do in
statuscvo [17]
The function j(x)=39x is the number of jumping jacks you can do in x minutes how many can you do in 5 minutes'?

This is asking you to evaluate the function when x is 5...so all you do here is substitute 5 for x and simplify.. since the question defines "x" as the number of minutes...and j(x) represents the number of jumping jacks.


j(x) = 39x

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I really hope this helps :)
5 0
3 years ago
Find the common factor of 35 and 50​
balandron [24]

Answer:

The common factors are:

1, 5

The Greatest Common Factor:

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Solution

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The common factors are:

1, 5

The Greatest Common Factor:

GCF = 5

6 0
3 years ago
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