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Maksim231197 [3]
3 years ago
12

In a 400 meter race, 4 runners pass a baton as each of them runs 100 meters of the race. The table shows the split times for the

first 3 runners of a relay team. Suppose the team has set a goal of running the race in 210 seconds. Solve the equation
(53,715 + 51.3 + 52.62) + n = 210 to find the number of seconds, n, within which the 4th runner must finish for the team to meet its goal.
Will send image​
Mathematics
1 answer:
kati45 [8]3 years ago
7 0

Answer:

Since the equation is addition, reverse it into subtraction. 210-53.715-51.3-52.62= 52.365. You can add 53.715 by 51.3 by 52.62 by 52.365 to check your answer, and it will be 210 so the 4th runner ran 52.365 seconds.

i also got this question but i figured it out lol

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Answer:  In set theory, the union (denoted by ∪) of a collection of sets is the set of all elements in the collection. It is one of the fundamental operations through which sets can be combined and related to each other.

A U B U C = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9 }

Step-by-step explanation:

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Gekata [30.6K]

Answer: Choice A) M = 0.25n + 100

=============================================================

Explanation:

For now, I'll treat n as x, and M as y.

In other words,

  • x = number of CDs
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Let's select two points from this graph. I'll pick (200,150) and (400,200)

The slope of the line through those points is

m = (y2-y1)/(x2-x1)

m = (200-150)/(400-200)

m = 50/200

m = 0.25

Now we'll use the point (x,y) = (200,150) along with that slope value to find the y intercept b

y = mx+b

150 = 0.25*200+b

150 = 50+b

150-50 = b

100 = b

b = 100

You could also use (x,y) = (400,200) and you should get the same b value.

In fact, any other point from this graph works as well.

------------------------------

Since m = 0.25 and b = 100, we go from y = mx+b to y = 0.25x+100

This then translates over to M = 0.25n + 100 which is choice A

To help verify this, let's say we plugged in n = 100

M = 0.25*n + 100

M = 0.25*100 + 100

M = 25 + 100

M = 125

Which is confirmed by what the graph shows. I'll let you check the other points as well.

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