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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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Graphing linear inequalities digital escapes puzzle 4
Vadim26 [7]

Answer:

1 - F

2 - B

3 - H

4 - A

Step-by-step explanation:

1.

m = -2

b = 4

y < mx + b

y < -2x + 4

F

2.

m = 1

b = -2

y < mx + b

y < 1x -2

y < x - 2

B

3.

m = -4

y <= mx + b

H is the only one that follows those rules

4.

m = 1

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A is the only one that follows those rules

5 0
2 years ago
The velocity-time graph for a cycle is shown
malfutka [58]

Answer:

<u>a) 100m</u>

<u>b) 2m/s</u>

Step-by-step explanation:

a)==>> <u>2+4</u>+<u>6+8</u>+10(8) = 100m

b)==>> Variable "a" = change OVER time (\frac{change}{time}) = 8m/4s = 2m/s

5 0
2 years ago
The square prism has a base length of 2 ft. Which describes the cross section of the prism that iS perpendicular to the
Anon25 [30]

Answer:

A-a rectangle with two 12-ft sides and two 2-ft sides

Step-by-step explanation:

Got it right on edge

7 0
2 years ago
What would y equal if you substituted 2 in y+2x=3
Ivahew [28]

Answer:

-1

Step-by-step explanation:

Given the equation:

y+2x=3

Substitute x=2 into this equation:

y+2\cdot 2=3\\ \\y+4=3

Subtract 4:

y+4-4=3-4\\ \\y=-1

8 0
3 years ago
Don’t need an explanation just the answer. Community takes too long lol
Nimfa-mama [501]

SOLUTION

Step 1: Find the area of the wall.

\begin{gathered} A=l\times b \\ A=42\times25.5 \\ A=1071ft^2 \end{gathered}

Step 2: Find the cost of wallpaper per square foot

=\frac{total\text{ cost of wallpaper}}{Area\text{ of the wall}}\begin{gathered} =\frac{771.12}{1071} \\ =0.72\text{ dollars} \end{gathered}

The correct answer is B: $0.72

3 0
11 months ago
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