Solve for k.

Mathematics

2 answers:

3241004551 [841]2 years ago

6 0

First, find common denominators

(3/4)(4/4) = 12/16

(3/8)(2/2) = 6/16

12/16k + 6/16k = 12

Simplify. Combine like terms

18/16k = 12

Isolate the k. Multiply 16/18 to both sides

(18/16)k(16/18) = 12 (16/18)

k = 12(16/18)

Multiply 12 with 16, then divide by 18

12 x 16 = 192

192/18 = 10.67 (rounded)

10.67 = 10 67/100 is your answer

hope this helps

Strike441 [17]2 years ago

6 0

$\dfrac{3}{4}k+\dfrac{3}{8}k=12\\\\
\dfrac{6}{8}k+\dfrac{3}{8}k=12\\\\
\dfrac{9}{8}k=12\\\\
k=\dfrac{32}{3}$

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A company that makes hair-care products had 5,000 people try a new shampoo. Of the 5,000 people, 15 had a mild allergic

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A manufacturer of hair care products tested a new shampoo on 5,000 people, and 0.3 percent of the participants experienced a moderate allergic response. 15 of the 5,000 individuals experienced a minor allergic response.

<h3>Define percentage.</h3>

The easiest approach to utilizing percentages is to compare two numbers while setting the second amount's base to 100. Consider for a moment that we are interested in the proportion of working women. A percentage (%) is a number that represents how many out of 100 it is and may also be written as a decimal or fraction. To convert a percentage to a fraction, place the percentage's value in the numerator and 100 in the denominator.

Given,

15 of the 5,000 individuals experienced a minor allergic response.

Dividing the percentage of the population that had a minor reaction.

15 ÷ 5000

0.003

Multiplying it by 100 for percentage:

0.003 × 100%

0.3%

0.3% percent of the people had mild allergic reactions.

To learn more about percentages, visit:

brainly.com/question/18509159

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