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QveST [7]
3 years ago
6

Which expression is equivalent to 20+64 a.4+(16+60)b.4+(5+16)c.4+(16+60)d.4(5+16)​

Mathematics
1 answer:
UNO [17]3 years ago
8 0

Answer:

D. 4 (5 + 16)

Step-by-step explanation:

20 + 64 =<em> </em><u><em>84</em></u>

To solve this problem we have to simplify each of the expressions in the answer column:

<u>A. = 80</u>

(16 + 60 = 76) giving us

4 + 76 = 80

<u>B. = 25</u>

(5 + 16 = 21)

4 + 21 = 25

<u>C. = 80</u>

(16 + 60 = 76)

4 + 76 = 80

<em><u>D. = 84</u></em>

(5 + 16 = 21)

4 x 21 = <em>84</em>

So The correct option is <u>D. 4 (5 + 16)</u>

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A scientist has a container of 2% acid solution and a container of 5% acid solution. How many fluid ounces of each concentration
algol [13]

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

(a \times \frac{2}{100})+(b \times \frac{5}{100})= 25 \times \frac{3.2}{100}

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Multiplying the above equation by 100, we get

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Substituting the value of a=25-b in equation 2, we get

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Since, a=25-b

a= 25-10

a=15.

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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3 years ago
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