If one mile is aprox 1.6 kilometers the how many miles is the race

Mathematics

1 answer:

vodka [1.7K]2 years ago

5 0

I need to know how many miles the race is

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A coach purchases 47 hats for his players and their families at a total cost of $302. The cost of a small hat is $5.50. A medium

frosja888 [35]

Answer:

The answer is below

Step-by-step explanation:

Let x represent the number of small hat purchased, y represent the number of medium hat purchased and z represent the number of large hat purchased.

Since a total of 47 hats where purchased, hence:

x + y + z = 47 (1)

Also, he spent a total of $302, hence:

5.5x + 6y + 7z = 302 (2)

He purchases three times as many medium hats as small hats, hence:

y = 3x

-x + 3y = 0 (3)

Represent equations 1, 2 and 3 in matrix form gives:

$\left[\begin{array}{ccc}1&1&1\\5.5&6&7\\-3&1&0\end{array}\right] \left[\begin{array}{c}x\\y\\z\end{array}\right] = \left[\begin{array}{c}47\\302\\0\end{array}\right] \\\\\\\\ \left[\begin{array}{c}x\\y\\z\end{array}\right] =\left[\begin{array}{ccc}1&1&1\\5.5&6&7\\-3&1&0\end{array}\right] ^{-1} \left[\begin{array}{c}47\\302\\0\end{array}\right] \\\\\\ \left[\begin{array}{c}x\\y\\z\end{array}\right] = \left[\begin{array}{c}6\\18\\23\end{array}\right]$

Therefore he purchases 6 small hats, 18 medium hats and 23 large hats

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3 years ago

Find the mean, median, mode, and range of the data set.

VikaD [51]

Mode: 23

Range: 9

Median: 25.5

Mean: 25.5625

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3 years ago

A track runner is eager to see if practicing helps her improve. She has plotted data on her weekly 100-meter dash times (s) as w

insens350 [35]

Answer:

$\displaystyle s = -\frac{1}{5}h + 20$

Step-by-step explanation:

Time is the dependent variable, so you set your function equal to s. Then, the correlation of the graph has a $\displaystyle -\frac{1}{5}$ rate of change [slope] from the y-intercept of $\displaystyle [0, 20],$ so we choose this answer choice.