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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Step-by-step explanation:

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Answers

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Step-by-step explanation:

I assume the 2 after the j is a square. So, we bring the 21 to the other side by subtracting it from both sides, getting 144j^2=64. Now we divide to get 64/144 = j^2. Make sure NOT to simplify it, it's perfect right now. The square root of that is [tex]\sqrt{64}/ \sqrt{144}[/tex], or 8/12, which we can now simplify to 2/3. Hope this helps!

[tex]\sf 3(5x+4)[/tex]

[tex]\boxed{\sf Have \: a \: nice\: day!}[/tex]

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Answer:

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Step-by-step explanation:

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Paolo is using his grandmother’s cookie recipe. He always doubles the amount of chocolate chips and oats. The recipe calls for 212 cups of chocolate chips. The total amount of chips and oats after doubling is 613 cups.

Write an equation to find the original amount of oats, x, in the recipe.

Answers

Answer:

y = 94.5 cups

Step-by-step explanation:

Let's say:

y = oatsx = chocolate chips = 212

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=> 2y = 613 - 424

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=> y = 94.5

Therefore, the required oats to do double the recipe is 94.5 cups.

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[tex]GeniusUser[/tex]

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The smaller angle measures?

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Answers

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Check all the options in order to determine the given polynomial is prime or not.

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Now, try to factorize the above polynomial.

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The given polynomial is factorized further therefore, this polynomial is not a prime.

B) [tex]x^4-3x^2-x^2+3[/tex]

Now, try to factorize the above polynomial.

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The given polynomial is factorized further therefore, this polynomial is not a prime.

C) [tex]3x^2+x-6x-2[/tex]

Now, try to factorize the above polynomial.

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The given polynomial is factorized further therefore, this polynomial is not a prime.

D)  [tex]3x^2+x-6x+3[/tex]

The given polynomial is not factorized further therefore, this polynomial is is a prime.

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Answers

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Answers

Step-by-step explanation:

she is the only sales agent selling cars after totaling them ... :-)

she makes 12% commission on the amount of sales beyond $50,000.

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Answers

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Step-by-step explanation:

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