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SpyIntel [72]
3 years ago
10

Please help me????22pts

Mathematics
1 answer:
worty [1.4K]3 years ago
7 0

Answer:

\mathrm{1 \dfrac{ 1  }{ 6  }\:cups}

Step-by-step explanation:

Given from the graph:

There is  \frac{1}{2}<u> cups of paint for one ja</u>r

There are <u>3 cups of paint for three jars</u>

There is <u>1</u> \frac{1}{2}<u> cups of paint for one jar</u>

There is <u>2 cups of paint for one jar</u>

total amount of jars = 6

But since we need to find the amount of cups in each jar, we do:

\dfrac{ 1  }{ 2  }  +3+1 \dfrac{ 1  }{ 2  }  +2

Add \frac{1}{2} and 1 \frac{1}{2}

2+3+2

Add 2 and 3

5+2

Add 5 and 2

7

total cups of paint = 7

Then we need to find how much paint could be splitted equally among the 6 jars, so we do the following:

total amount of jars = 6

total cups of paint = 7

We divide the total amount of jars by the total cups of paint

7 ÷ 6

Divide 7 by 6

\dfrac{ 7  }{ 6  }

= 1 \dfrac{ 1  }{ 6  }

\mathrm{Answer: 1 \dfrac{ 1  }{ 6  }\:cups}

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Two cars simultaneously left Points A and B and headed towards each other, and met after 2 hours and 45 minutes. The distance be
zheka24 [161]
<h2>Hello!</h2>

The answer is:

FirstCarSpeed=41mph\\SecondCarSpeed=55mph

<h2>Why?</h2>

To calculate the speed of the cars, we need to write two equations in order to create a relation between the two speeds and be able to isolate one in function of the other.

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x_{FirstCar}=x_o+v*t

For the second car:

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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:

2hours+45minutes=120minutes+45minutes=165minutes\\\\\frac{165minutes*1hour}{60minutes}=2.75hours

Writing the equation, we have:

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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Answer:

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