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MA_775_DIABLO [31]
3 years ago
7

Sean and his mom will start running around in one mile track at the same time. Sean runs one mile every 8 minutes his mom runs 1

mile every 10 minutes and how many minutes will they be together at the starting line again​
Mathematics
1 answer:
matrenka [14]3 years ago
8 0

Answer:

80 minutes

Step-by-step explanation:

You multiply 8 x 10 = 80

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Answer:

x = -4, y = -4

Step-by-step explanation:

Normally, if it's allowed, I would use a graphing calculator which basically turns the equations (-2x+y=4) and (y=\frac{1}{2}x-2) into two straight lines, which represent the line of possible values that can fit into the equations. However, since you want the value of x and y in both equations to be the same, you have to look for the intersection of the two graphs. I use desmos.com/calculator to just type in the equations and the lines would be drawn automatically. By hovering over the equation, I can get the two values of x and y (the first value is for x, and the second one is for y).

Here is the working if you want to work it out by hand: (I'm using algebra for this one)

-2x+y=4 -------------------------------- Equation 1

y=\frac{1}{2}x-2 ---------------------------------- Equation 2

Substitute Equation 2 into Equation 1:

-2x+\frac{1}{2}x-2=4

Simplify:

-1\frac{1}{2}x-2=4

-1\frac{1}{2}x=4+2

-1\frac{1}{2}x=6

1\frac{1}{2}x=-6

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3x=-6×2

3x=-12

x=-12÷3

x=-4 ------------------------------------ Equation 3

Substitute Equation 3 into Equation 1:

-2(-4)+y=4

Simplify:

8+y=4

y=4-8

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The gcf of 42 and 70 is 14
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Answer:

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