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Alex17521 [72]
3 years ago
15

Micah run the 200 yards hurdles with the track team the last hurdle is placed exactly 34 feet from the finish line how far will

Micah run from the starting line to the last hurdle
Mathematics
1 answer:
ss7ja [257]3 years ago
5 0

Answer:

  566 feet or 188 2/3 yards

Step-by-step explanation:

1 yard = 3 feet, so we have the following equivalences:

  200 yd = 600 ft

  34 ft = 11 1/3 yd

Then the distance 200 yd - 34 ft can be written in feet or yards as ...

  600 ft -34 ft = 566 ft

  200 yd -11 1/3 yd = 188 2/3 yd

Micah had to run 566 feet or 188 2/3 yards to reach the last hurdle.

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When solving the system of equations by graphing, what is the solution of 3x + 2y = 2 and 2x – y=6?
oksian1 [2.3K]

Answer:

answer B: (2,-2)

Step-by-step explanation:

First, write the equations on top of each other:

3x+2y=2\\2x-y=6

Then, multiply the the second equation by 2 so that we can use elimination of the y-variable:

3x+2y=2\\2(2x-y)=2(6)\\\\3x+2y=2\\4x-2y=12

Next, use elimination to find the value of "x":

3x+2y=2\\+(4x-2y=12)\\\\7x+0=14\\7x=14\\\frac{7x}{7}=\frac{14}{7}\\x=2

So, your x-value is 2.

Now, substitute your x-value into one of your equations, let's take the second equation, 2x-y=6:

2x-y=6\\2(2)-y=6\\4-y=6\\4-4-y=6-4\\-y=2\\\frac{-y}{1}=\frac{2}{-1}\\y=-2

Your y-value is -2.

With all your information gathered, you find that the solution to this system of equation is (2,-2).

5 0
3 years ago
Find the unit rate<br> 180 miles in 4 hours =<br> miles per hour
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Answer:

= 45 miles per hour

Step-by-step explanation:

First, we want a unit rate where 1 is in the denominator.

So we divide,

180 miles/ 4 hours both ÷ by 4

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3 years ago
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Hello!

To calculate how much 3 cakes would cost, we must first find the cost of each individual cake.

To do this, we must divide the cost of 8 cakes by 8 cakes.

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This means that each individual cake costs $0.50. Multiply this by 3 to find the cost of 3 cakes.

0.50 × 3 = 1.50

Therefore, 3 cakes would cost $1.50.
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3 years ago
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