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maxonik [38]
2 years 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:
Sveta_85 [38]2 years ago
6 0

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

Step-by-step explanation:

lilavasa [31]2 years ago
5 0

Answer: He should add 8 gallons of water to make 5% bleach solution.

Step-by-step explanation:

Let the number of gallons of water he should add be 'x'.

Since we have given that

Total number of gallon we have = 8

It has 10% beach solution i.e. \frac{10}{100}\times 8=0.8\ gallon

We need to make it a 5% bleach solution by adding water to it.

so, our equation becomes,

\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

Hence, he should add 8 gallons of water to make 5% bleach solution.

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Answer:

Reference The length of time Y necessary to. ... construction of houses has an exponential distribution with mean 10 hours. The formula C = 100 + 40Y + 3Y 2 relates the cost C of completing this operation to ... Find the mean and variance of C. ... The length of time necessary to complete a key operation in the construction of ...

Step-by-step explanation:

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Martin is building a model. He cuts two pieces of wood that are each 6 1/3 inches long from a board with a total length of 18 in
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The triangle DEF is shown in the diagram.<br>Find the exact value of x.<br>​
vladimir1956 [14]

Answer:

x = 4

Step-by-step explanation:

Using cosine triangle formula, we know that;

c² = a² + b² - 2ac(cos C)

From our diagram;

a = 2x

b = x + 1

c = 7

C = 60°

Thus;

7² = (2x)² + (x + 1)² - 2(2x)(x + 1)cos 60

49 = 4x² + (x² + 2x + 1) - (4x² + 4x)(0.5)

49 = 5x² + 2x + 1 - 2x² - 2x

3x² + 1 - 49 = 0

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8 0
2 years ago
The nth term of a sequence is 2n2 − 1 The nth term of a different sequence is 40 − n2 Show that there is only one number that is
allsm [11]

Answer:

Step-by-step explanation:

nth term of a sequence = 2n² - 1

Therefore, terms of the sequence will be,

1, 7, 17, 31, 49, ........... n terms

nth term of a different sequence = 40 - n²

Therefore, terms of the sequence will be,

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PLS HELP ASAP I WILL IVE BRAINLIST ANSWER!!!!!Leon verified that the side lengths 21, 28, 35 form a Pythagorean triple using thi
Juliette [100K]

Answer:

Leon is correct. (Option 1)

Step-by-step explanation:

Given that Leon verified that the side lengths 21, 28, 35 form a Pythagorean triple using this procedure.

Step 1: Find the greatest common factor of the given lengths: 7

Step 2: Divide the given lengths by the greatest common factor: 3, 4, 5

Step 3: Verify that the lengths found in step 2 form a Pythagorean triple.

we have to explain whether or not Leon is correct.

As, 3,4,5 forms a Pythagorean triplet i.e satisfies the Pythagoras theorem

Hypotenuse^2=Base^2+Perpendicular^2

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Let a, b, c forms a Pythagorean triplet

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Multiplied by 4 on both sides

⇒ 4a^2+4b^2=4c^2

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Hence, we say 4a, 4b and 4c also forms a Pythagorean triplet.

∴ multiplying every length of a Pythagorean triple by the same whole number results in a Pythagorean triple.

Hence, Leon is correct.

4 0
2 years ago
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