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solmaris [256]
3 years ago
12

Sam wants to buy 8 pencils and 6 pens, which cost a total of $8.50. He realizes he doesn't have enough cash and instead takes on

ly 4 of each, which costs only $5. What is the price of each pen and pencil? pen, $0.75; pencil, $0.50
Mathematics
1 answer:
Diano4ka-milaya [45]3 years ago
8 0
X = pencils, y = pens

8x + 6y = 8.50
4x + 4y = 5.....multiply by -2
----------------
8x + 6y = 8.50
-8x - 8y = -10 (result of multiplying by -2)
-----------------add
-2y = - 1.50
y = -1.50 / -2
y = 0.75 <=== pens cost 0.75

4x + 4y = 5
4x + 4(0.75) = 5
4x + 3 = 5
4x = 5 - 3
4x = 2
x = 2/4
x = 0.50 <== pencils cost 0.50
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Answer:

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Step-by-step explanation:

The given expression is 15x^5 + 12x^4-24x^3-3x^2

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The GCF is 3x^2, let's take out 3x^2 and write the remaining terms in the parenthesis.

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Therefore, the factors are 3x^2 and (5x^3 + 4x^2 -8x -1).

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7 0
3 years ago
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Hope this helps!

5 0
3 years ago
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