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Fittoniya [83]
3 years ago
9

A customer purchased a total of 16 washcloths and towels. Each washcloth cost $10.50 and each towel cost $15.00. The customer sp

ent $226.50 all together.
How many washcloths did the customer buy?
Mathematics
1 answer:
IgorC [24]3 years ago
8 0

Answer:

3

Step-by-step explanation:

10.50 x 3 = 31.5

15 x 13 = 195

195 + 31.5 = 226.50

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Given,

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Solve the system of equations 6x + 3y = 9 and -5x – 5y = 0 by combining the<br> equations.
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Factor completely. (x^2 – 4)(x^2 + 6x + 9)<br>​
sertanlavr [38]
<h3>Answer:   (x-2)(x+2)(x+3)(x+3)</h3>

This is the same as (x-2)(x+2)(x+3)^2. The order of the factors doesn't matter.

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

Explanation:

x^2-4 factors to (x-2)(x+2) after using the difference of squares rule

x^2+6x+9 factors to (x+3)(x+3) after using the perfect square trinomial factoring rule

So overall, the original expression factors to (x-2)(x+2)(x+3)(x+3)

We can condense this into (x-2)(x+2)(x+3)^2 since (x+3)(x+3) is the same as (x+3)^2

-------------------

Side notes:

  • Difference of squares rule is a^2 - b^2 = (a-b)(a+b)
  • The perfect square trinomial factoring rule is a^2+2ab+b^2 = (a+b)^2
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