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2 years ago

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Mathematics

2 answers:

Grace [21]2 years ago

6 0

Answer is A, -20p^5-15p^4+5p^3

ValentinkaMS [17]2 years ago

3 0

Simply distribute, multiplying the coefficients and adding exponents when necessary...

<span>-5p^3 (4p^2 + 3p - 1)

The first term I'll explain then just do the rest

-20p^5

because -5*4 = -20 and p^3 * p^2 = p^5. Since we are multiplying bases with exponents, we keep the bases and add the exponents, now for the rest of the expression

</span>-20p^5 -15p^4 + 5p^3, Option A.

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Let 'a' be the number of ounces of 2%-solution in the 25-ounce mixture

and 'b' be the number of ounces of 5%-solution in the 25-ounce mixture.

Since, fluid ounces of each concentration should be combined to make 25 fl oz.

So, a+b=25 (Equation 1)

And, a container of 2% acid solution and a container of 5% acid solution should be combined to make 25 fl oz of 3.2% acid solution.

So, a of 2% + b of 5% = 3.2% of 25

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a= 25-10

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So, 15 fluid ounces of 2% solution combined with 10 ounces of the 5% solution to create a 25-ounce mixture at 3.2% concentration of acid.

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