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Makovka662 [10]
3 years ago
8

A triathlon course includes a 400m swim,a 40.1km bike ride,and a 12.2km run what is the total length of the course

Mathematics
1 answer:
agasfer [191]3 years ago
3 0

Convert the meter distance to KM so thaey are all the same measurement:

1 meter = 0.001 km

400 m x 0.001 m/km = 0.4 km

Now add all three distances:

Total distance = 0.4 + 40.1 + 12.2 = 52.7 km.

The answer is B.

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Which ordered pair represents the y-intercept of the graph of the equation y = -3x - 9?
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Equation
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y = -3x - 9

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Option 1
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If I substitute x = -9, I should get y = 0

When x = -9
y = -3 (-9) - 9
= 18 (I did not get 0, wrong)


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Option 2
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If I substitute x = -3, I should get y = 0
y = -3(-3) - 9
y = 9 - 9 
y = 0 (Yes, I got 0, correct)


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Option 3
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If I substitute x = 0, I should get y = -3
y = -3 (0) - 9
y = 0 - 9
y = -9 (I did not get -3, wrong)


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Option 4
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If I substitute x = 0, I should get y = -9
y = -3 (0) - 9
y = 0 - 9
y = -9 (Yes, I got -9, correct)


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Answer: (-3, 0) and (0, 9) are ordered pairs of the equation (Answer B, D)
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3 years ago
A beverage is made by mixing three parts of water with five parts of fruit juice how many parts of water are mixed with one part
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Answer:

3/5 part water.

Step-by-step explanation:

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Question 5 Multiple Choice Worth 1 points) (04.05 MC) Determine if the ordered pair (-1 , -5) is a solution to the inequality y≤
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Answer:

(-1, -5) satisfies the inequality and will be the solution to the inequality.

From the attached figure, it is clear that  (-1, -5) is below the line.

Therefore, the correct option is:

''Yes, because 1-1, 5) is on the line​''.

Step-by-step explanation:

Given the inequality

y\le -\frac{3}{4}x-1

substituting (-1, -5)  to check whether it satisfies the inequality or not

-5\le \:-\frac{3}{4}\left(-1\right)-1

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TRUE

Thus, (-1, -5) satisfies the inequality and will be the solution to the inequality.

From the attached figure, it is clear that  (-1, -5) is below the line.

Therefore, the correct option is:

''Yes, because 1-1, 5) is on the line​''.

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