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salantis [7]
3 years ago
8

An industrial cleaner is manufactured using only the 3 secret ingredients A, B, and C, which are mixed in the ratio of 2:3:5, re

spectively, by weight. How many pounds of secret ingredient B are in a 42-pound (net weight) bucket of this cleaner?
A. 4.2
B. 12.6
C. 14.0
D. 18.0
E. 21.0
Mathematics
2 answers:
inessss [21]3 years ago
8 0
The ratios add up to 10 so 42/10 is 4.2 and as b is 3parts you times 4.2 by 3 giving you 12.6
iVinArrow [24]3 years ago
4 0

Answer:  The correct option is (B) 12.6.

Step-by-step explanation:  Given that an industrial cleaner is manufactured using only the 3 secret ingredients A, B, and C, which are mixed in the ratio of 2 : 3 : 5 respectively, by weight.

We are to find the number of pounds of the secret ingredient B that are in a 42-pound bucket of this cleaner.

Let the quantities of the ingredients A, B and C in the cleaner be 2x, 3x and 5x respectively.

Then, according to the given information, we have

2x+3x+5x=42\\\\\Rightarrow 10x=42\\\\\Rightarrow x=\dfrac{42}{10}\\\\\Rightarrow x=4.2.

Therefore, the quantity of the ingredient B is given by

3\times4.2=12.6~\textup{pounds}.

Thus, option (B) is CORRECT.

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3 years ago
Find a solution to the linear equation −2x−2y=8 by filling in the boxes with a valid value of x and y.Provide your answer below:
inna [77]

Given

-2x-2y=8

To find a solution for the linear equation, the first step is to write the equation in slope-intercept form:

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\begin{gathered} -2x+2x-2y=8+2x \\ -2y=2x+8 \end{gathered}

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Once you have expressed the equation of the line in slope-intercept form, replace it with any value for x and calculate the corresponding value of y, for example, x=2

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One solution for the linear equation is x=2 and y=-6, you can check the solution by replacing the values on the original equation, with both values the result should be 8:

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charle [14.2K]

Answer: I believe it's 5 I am not sure

Step-by-step explanation:

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