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e-lub [12.9K]
3 years ago
11

the ratio of black bags to blue bags is 5 to 3. If there are a total of 185 black bags, then how many blue bags are there?

Mathematics
1 answer:
nlexa [21]3 years ago
8 0

Answer:

There are 111 blue bags

Step-by-step explanation:

Let

x ----> the number of black bags

y ---> the number of blue bags

we know that

\frac{x}{y}=\frac{5}{3}

isolate the variable y

y=\frac{3}{5}x -----> equation A

x=185 ----> equation B

substitute equation B in equation A

y=\frac{3}{5}(185)

y=111

therefore

There are 111 blue bags

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Please help FAST I need the answer along with you explaining the steps so I can get it thanks! I’ll give Brainlist also!
kupik [55]

Answer:

The equation of required line is: \mathbf{5x-8y+34=0}

Step-by-step explanation:

We need to write equation in the form Ax+By+C=0 of the line parallel to 5x-8y+12=0 and through the point (-2,3)

First we need to find slope and y-intercept of the required line.

Using equation of line  5x-8y+12=0 to find slope.

Since the given line and required lines are parallel there slope is same.

Writing equation in slope intercept form: y=mx+b where m is slope.

5x-8y+12=0 \\-8y=-5x-12\\\frac{-8y}{-8y}=\frac{-5x}{-8}-\frac{12}{-8}\\y=\frac{5}{8}x+\frac{3}{4}

So, the slope m = 5/8

The slope of required line is m=\frac{5}{8}

Now finding y-intercept using slope m=\frac{5}{8} and point(-2,3)

y=mx+b\\3=\frac{5}{8}(-2)+b\\3=\frac{-5}{4}+b\\b=3+\frac{5}{4}\\b=\frac{3*4+5}{4}\\b=\frac{12+5}{4}\\b=\frac{17}{4}

So, the equation of required line having slope m=\frac{5}{8}  and y-intercept b=\frac{17}{4}

y=mx+b\\y=\frac{5}{8}x+\frac{17}{4}\\y=\frac{5x+17*2}{8}\\y= \frac{5x+34}{8}  \\8y=5x+34\\5x-8y+34=0

So, The equation of required line is: \mathbf{5x-8y+34=0}

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Sorry it took so long, here is your answer:

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Answer:

Step-by-step explanation:

A

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Answer:

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Answer:

90 people are expected to but cotton candy.

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