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ICE Princess25 [194]
2 years ago
14

Each marble bag sold by leila's marble company contains 5 yellow marbles for every 8 green marbles. if a bag has 35 yellow marbl

es, how many green marbles does it contain?
Mathematics
1 answer:
Feliz [49]2 years ago
4 0
Yellow: green
5 : 8
35:x
To get from 5 to 35 for the yellow's, you multiply the ratio by 7.
Multiply the 8 for greens by 7 = 56
There are 56 green marbles.
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<h2>Hello!</h2>

The answer is:

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<h2>Why?</h2>

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x_{FirstCar}=x_o+v*t

For the second car:

We know that the speed of the second car is the speed of the first car plus 14 mph, so:

x_{SecondCar}=x_o+(v+14mph)*t

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If the cars are moving towards each other the relative speed will be:

RelativeSpeed=FirstCarSpeed-(-SecondCarspeed)\\\\RelativeSpeed=x-(-x-14mph)=2x+14mph

Then, since we know that they covered a combined distance which is equal to 264 miles of distance in 2 hours + 45 minutes, we  have:

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264miles=(2x+14mph)*t\\\\264miles=(2x+14mph)*2.75hours\\\\2x+14mph=\frac{264miles}{2.75hours}\\\\2x=96mph-14mph\\\\x=\frac{82mph}{2}=41mph

We have that the speed of the first car is equal to 41 mph.

Now, for the second car we have that:

SecondCarSpeed=FirstCarSpeed+14mph\\\\SecondCarSpeed=41mph+14mph=55mph

Hence, we have that:

FirstCarSpeed=41mph\\SecondCarSpeed=55mph

Have a nice day!

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