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Lorico [155]
3 years ago
5

9 Carmen hiked at Yosemite National Park for 2.25 hours. Her average speed was 3.3 miles per hour. How many miles did she hike?

Mathematics
1 answer:
MakcuM [25]3 years ago
8 0

if her average speed is 3.3 miles per hour, that means in 1 hour, she was covering 3.3 miles, now, how many miles in 2.25 hours?


\bf \begin{array}{ccll}
miles&hours\\
\cline{1-2}
3.3&1\\
m&2.25
\end{array}\implies \cfrac{3.3}{m}=\cfrac{1}{2.25}\implies m=\cfrac{3.3\cdot 2.25}{1}=m\implies 7.425=m

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Answer:

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Step-by-step explanation:

Solve the following system:

{c + k = 100 | (equation 1)

{11 c + 51 k = 2500 | (equation 2)

Swap equation 1 with equation 2:

{11 c + 51 k = 2500 | (equation 1)

{c + k = 100 | (equation 2)

Subtract 1/11 × (equation 1) from equation 2:

{11 c + 51 k = 2500 | (equation 1)

{0 c - (40 k)/11 = -1400/11 | (equation 2)

Multiply equation 2 by -11/40:

{11 c + 51 k = 2500 | (equation 1)

{0 c+k = 35 | (equation 2)

Subtract 51 × (equation 2) from equation 1:

{11 c+0 k = 715 | (equation 1)

{0 c+k = 35 | (equation 2)

Divide equation 1 by 11:

{c+0 k = 65 | (equation 1)

{0 c+k = 35 | (equation 2)

Collect results:

Answer: {c = 65 , k = 35

5 0
3 years ago
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