Last week, Keegan bought 4 shirts and 9
hats for a total of $108.
Today, Keegan bought 17 shirts and 21 hats
for a total of $321.
Assuming neither item has changed in price,
what is the cost of a shirt in dollars?
to write down notes or work through problems

Answers

Answer 1

Answer:  Shirts are $9 each and hats are $8 each

Step-by-step explanation:

Let S be the price of a Shirt, and H the price of a Hat.

First Week:  4S + 9H = $108

Today:         17S + 21H = $321

We have 2 equations and 2 unknowns (S and H).  Rearrange one of the equations to isolate one of the unknowns.  I'll rearrange the first for S:

4S + 9H = $108

4S  = $108 - 9H

S =  ($108 - 9H)/4

S = 27 - 2.25H

Now use this value of S in the second equation:

17S + 21H = $321

17(($27 - 2.25H) + 21H = $321

Solve for H:

459 -38.25H + 21H = $321

-17.25H = - 138

H = $8

Each hat was $8.

Use this value in the first equation to find S:

4S + 9H = $108

4S + 9*($8) = $108

4S + $72 = $108

S = $9

Each shirt was $9.

==

Check to see if the numbers give the correct results:

4*($9) + 9*($8) = $108

17*($9) + 21*($8) = $321

Both yield the correct amounts. Shirts are $9 each and hats are $8 each.


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Answers

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Step-by-step explanation:

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Answers

Step-by-step explanation:

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A construction team is going to Guatemala to help a missionary build a church building. The construction team will be there for 24 days, which is 50% more days than they need to complete construction. How many days will they need to complete the church building

Answers

Answer:

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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Answers

Step-by-step explanation:

b²-4ac>0

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Answer:

Step-by-step explanation:

b²-4ac>0

(-2)²-4(1×3k)>0

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k<⅓

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Answers

Answer:

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Answer:

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Answers

Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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Answers

Answer:

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Answers

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Answers

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Answers

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Answers

Using proportions, it is found that Donald should order 4 of the 0.05 gram tablets.

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Answers

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Answers

The length of the sides of the square labelled x is b. 6.0 m.

Recall:

The formula for the area of a square with equal side, s, is given as s².

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Ok done. Thank to me:>
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