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mel-nik [20]
3 years ago
15

Jordan and Amari run a 200-meter race, and Jordan wins by 23 meters. They decide to run the 200 meter race again with Jordan sta

rting 23 meters behind the starting
line.
a. Assuming both runners run at the same pace as they did in the first race, who wins the second race?
Mathematics
1 answer:
Nuetrik [128]3 years ago
8 0

Answer:

Jordan wins the second race.

Step-by-step explanation:

Jordan and Amari run a 200-meter race, and Jordan wins by 23 meters.

This means that while Jordan ran 200 meters, Amari will have ran 200 - 23 = 177 meters.

Thus, for each meter that Jordan runs, Amari runs 177/200 = 0.885 meters.

Second race:

Jordan starting 23 meters behind the starting line, and thus, he will have to run 200 + 23 = 223 meters.

When Jordan reaches the finish line, having ran 223 meters(200 + 23 behind), Amari will have ran 223*0.885 = 197.335 meters(< 200, so he will not have reached the finish line), and thus, Jordan wins the second race.

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Umnica [9.8K]
Let's start by solving the first equation.

a) -3 = 7 + 2t/3 
To begin simplifying this equation, we should multiply both sides by 3 to get rid of the denominator on the right side of the equation.
-9 = 7 + 2t
Next, we should subtract 7 from both sides to cancel out the 7 on the right side.
-16 = 2t
Finally, we should divide both sides by 2.
t= -8


Now let's move on to the next equation.

b) 4(5x-2) = 7(2x+3)
Let's use the distributive property to get rid of the parentheses and their coefficients.
20x-8 = 14x + 21

Now, lets subtract 14x from both sides of the equation.

6x - 8 = 21

Next, let's add 8 to both sides of the equation.

6x = 29

And divide both sides by the coefficient of x, which is 6.

x = 29/6 or 4 5/6

Now for the last equation.

C) 2x - 6 = 20 - 2.5x
First, we should add 2.5x to both sides to cancel out the -2.5x on the right side of the equation.
4.5x - 6 = 20
Now, let's add 6 to both sides to get the variable term alone.
4.5x = 26
Finally, we should divide both sides by 4.5 to get x by itself.
x = 5 7/9

Hope this helps! :)
7 0
4 years ago
Help me on number problem 1 please
Mandarinka [93]

Answer: y = 3x-1


Step-by-step explanation: I was never the best at doing this, but here it goes...

first start with the formula Y2-Y1/X2-X1 for this problem, lets say your Y2 is -1, your Y1 is 5, your X2 is 0, and your X1 is 2, making your equation -1-5/0-2 which equals -6/-2, which can be qritten as 3. this is your slope.

now take the equation Y-Y1 = M (X-X1) m is your slope, which is 3 in this case as stated above. your X1 is2, your Y1 is 5. plug this in and you get

y-5 = 3 (x-2) which you put into slope intercept form, which is y = mx + b

your answer should be y = 3x-1

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sveticcg [70]

Answer:

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4 years ago
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IgorLugansk [536]

Answer:

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Step-by-step explanation:

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