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3 years ago

5

You are ordering shirts for the math club at your school. Short-sleeved shirts cost $10 each. Long-sleeved shirts cost $12 each.

You have a budget of $300 for the shirts. Let x = the number of short sleeved shirts and let y = the number of long sleeve shirts.
Twelve students decide they want short-sleeved shirts. How many long-sleeved shirts can you order?

1 answer:

disa [49]3 years ago

3 0

Answer:

15 long-sleeved shirts can be ordered.

Step-by-step explanation:

x = amount of short-sleeved.

y = amount of long-sleeved.

10x + 12y = 300

10(12) + 12y = 300

120 + 12y = 300

12y = 300 - 120

12y = 180

y = 180 / 12

y = 15

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when your cousin was born, she was 21 4/5 inches long. when your friends was born he was 21 3/4 inches long. who was longer at b

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<em>Answer:</em>

<em>cousin</em>

<em>1/20 inches</em>

<em>Step-by-step explanation:</em>

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<em>cousin</em>

<em>21 4/5 = (21×5+4)/5 = 109/5</em>

<em>friend</em>

<em>21 3/4 = (21×4+3)/4 = 78/4</em>

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5 0

3 years ago

Carol invested $2,560 into two accounts. One account paid 6% interest and the other paid 8% interest. She earned 7.25% interest

Elis [28]

Answer:

The amount she put in the account that paid 6% interest = x = $960

The amount she put in the account that paid 8% interest = y = $1600

Step-by-step explanation:

Carol invested $2,560 into two accounts. One account paid 6% interest and the other paid 8% interest. She earned 7.25% interest on the total investment in one year.

I=Prt, to model simple interest applications, where I is equal to the interest, P is equal to the product of the principal, r is equal to the rate, and t is equal to the time.

Step 1

We have to calculate the total interest earn on the initial capital

P = $2,560

R = 7.25% = 0.0725

T = 1

I = $2,560 × 0.0725 × 1

I = $185.60

Let the amount Invested in the account that paid 6% interest = x

Let the amount Invested in the account that paid 8% interest = y

Hence:

$185.60 = x × 6% + y × 8%

$185.60 = 0.06x + 0.08y......Equation 1

$2560 = x + y........ Equation.2

x = $2560 - y

$185.60 = 0.06x + 0.08y......Equation 1

185.60 = 0.06(2560 - y) + 0.08y

185.60 = 153.6 - 0.06y + 0.08y

185.60 - 153.60 = 0.02y

y = 32/0.02

y = $1600

x = $2560 - y

x = $2560 - $1600

x = $960

The amount she put in the account that paid 6% interest = x = $960

The amount she put in the account that paid 8% interest = y = $1600

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Answer:

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Step-by-step explanation:

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• Graphic (Annex)

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Answer:

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Step-by-step explanation:

I am not sure where or what you are talking about?

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