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Nostrana [21]
3 years ago
8

A school has a hurdle track that is 1/5 of a mile long. They are considering extending the track to be 1/4 of a mile long. The c

ommittee wants to know the unit rate of length in the longer track per mile of length in the shorter track to make sure they have enough hurdles for the longer track. What is the unit rate?
Mathematics
2 answers:
Anastaziya [24]3 years ago
3 0

Answer:   4/5

Step-by-step explanation:

Here,  The hurdle track that is 1/5 of a mile long.

And, After extending the track, the length of the hurdle track = 1/4 of a mile

Therefore, the unit rate of length in the longer track per mile of length in the shorter track = the initial length of the hurdle track / the final length of the hurdel track

= \frac{1/5}{1/4}

= \frac{4}{5}


andriy [413]3 years ago
3 0

Answer: 1 1/4

Step-by-step explanation:

1/4 divided by 1/5 = 5/4

5/4 = 1 1/4

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Gekata [30.6K]

Answer:

Equation:   y = 65x

Randomly pick a x and y value and plug into above equation, if they don't equal then the x and y you've picked cannot be on this table.

Step-by-step explanation:

Pick any two points to find slope, let's got with (3, 195) and (4, 260):

  slope m = (y₂- y₁) / (x₂ - x₁)

                = (260 - 195) / (4 - 3)

                = 65 / 1

            m = 65

Find y-intercept by using m from above and another point from your table, let's go with (5, 325):

  y = mx + b

  325 = 65(5) + b

  325 = 325 + b

  b = 0

Use m and b to form equation of line:

  y = mx + b

  y = 65x + 0

  y = 65x

Check:

  point (3, 195):   195 = 65(3)       ====>   195 = 195

  point (4, 260):   260 = 65(4)     ====>   260 = 260

  point (5, 325):   325 = 65(5)     ====>   325 = 325

  point (6, 390):   390 = 65(6)     ====>   390 = 390

Example of a point that doesn't belong on table:

  point (8, 500):    500 = 65(8)    ====>   500 ≠ 520

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Use the law of cosines to solve for the measure of the largest angle in triangle ABC.
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Answer:

Step-by-step explanation:

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your cell phone plan cost $39.99 per month plus $.15 for each text message you send or receive you have at most $45 to spend on
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39.99 + 0.15x <span>≤ 45
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the maximum </span>text message you send or receive is 33

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Answer:

Step-by-step explanation:

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Also the end behaviour will be rising from the left negative values of f(x) and at the right it will rise to positive f(x).

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