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icang
3 months ago
14

Darryl wants to add enough water to 8 gallons of a 10% bleach solution to make a 5% bleach solution. Which equation can he use t

o find x, the number of gallons of water he should add?
Mathematics
2 answers:
lawyer [12.5K]3 months ago
6 0

Response:- 0.8/8+x=5/100

Detailed explanation:

zzz [12.3K]3 months ago
5 0

Answer: To achieve a 5% bleach solution, he needs to add 8 gallons of water.

Step-by-step explanation:

Let 'x' represent the gallons of water he is meant to add.

We know that

The total current volume is 8 gallons

Containing a 10% bleach solution, which is i.e. \frac{10}{100}\times 8=0.8\ gallon

The goal is to dilute it to a 5% bleach solution by incorporating additional water.

Consequently, the equation can be defined as,

\frac{Bleach}{Total}=\frac{0.8}{8+x}=\frac{5}{100}\\\\\frac{0.8}{8+x}=\frac{1}{20}\\\\20\times 0.8=8+x\\\\16=8+x\\\\x=16-8\\\\x=8\ gallons

Therefore, he should add 8 gallons of water to create a 5% bleach solution.

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Elia rode her bicycle from her house to the beach at a constant speed of 18 kilometers per hour, and then rode from the beach to
Svet_ta [12734]

Answer:

Elia took \dfrac{5}{11} hour to cycle from her residence to the beach, \dfrac{6}{11} hour to return, and traveled

8\dfrac{2}{11} kilometers from her home to the beach and

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Step-by-step explanation:

1. Let b represent the hours Elia spent cycling to the beach, and p the time taken for the return trip to the park. The combined time for both rides equals 1 hour, represented as

b + p = 1

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Since the distances for both trips are identical, we establish

18b = 15p

3. Solve the two equations:

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Using the first equation

b=1-p

Insert this solution into the second equation

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Elia took \dfrac{5}{11} hour to cycle to the beach, \dfrac{6}{11} hour on her return, and covered

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3 months ago
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A surveyor measures the length of a surveying chain containing 1000 chain links. The length is 0.0533km. What is the length of a
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length of one chain link = 5330/1000

Thus, the length of a single chain link equals 5.33 cm.

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3 months ago
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