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scoundrel [369]
3 years ago
6

Help please and thank you!

Mathematics
1 answer:
Len [333]3 years ago
7 0

Answer:

y = 2/5x + 3

Step-by-step explanation:

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210$ i hope this helped!

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Jackie sold 48 pints of lemonade at her stand. How many quarts of lemonade did she sell? (1 quart = 2 pints)
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Step-by-step explanation:

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3 years ago
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You travel 3 miles downstream in a kayak at a speed of r miles per hour. You turn around and travel 4 miles upstream at a speed
shtirl [24]
<h3>Write a model in simplified form for the total time t (in hours) of the trip:</h3>

Total\ time\ taken = \frac{3}{r} + \frac{4}{0.5r} + \frac{1}{r+1}\\

<h3>It takes 2.95 hours when r is 4 miles per hour</h3>

<em><u>Solution</u></em>:

Given that,

<h3>You travel 3 miles downstream in a kayak at a speed of r miles per hour</h3>

Downstream:

Speed = r miles per hour

Distance = 3 miles

Time taken is given as:

Downstream\ time = \frac{distance}{speed}\\\\Downstream\ time = \frac{3}{r} ------- eqn\ 1

<h3>You turn around and travel 4 miles upstream at a speed of 0.5r miles per hour</h3>

Upstream:

Speed = 0.5r miles per hour

Distance = 4 miles

Therefore,

Upstream\ time = \frac{4}{0.5r} -------- eqn 2

<h3>Finally, you turn around and return to your original starting point at a speed of  r + 1 miles per hour</h3>

Therefore,

time = \frac{1}{r+1} ----------- eqn\ 3

<em><u>a)Write a model in simplified form for the total time t (in hours) of the trip</u></em>

The total time taken is:

eqn 1 + eqn 2 + eqn 3

Total\ time\ taken = \frac{3}{r} + \frac{4}{0.5r} + \frac{1}{r+1}\\

<em><u>b)How long does your trip take when r is 4 miles per hour?</u></em>

Substitute r = 4

Total\ time\ taken = \frac{3}{4} + \frac{4}{0.5 \times 4} + \frac{1}{4+1}\\\\Total\ time\ taken = 0.75 + 2 + 0.2\\\\Total\ time\ taken = 2.95

Thus it takes 2.95 hours when r is 4 miles per hour

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Rigid motions like rotations and reflections apply to congruence for transformations because rigid motions are transformations and to get to another shape you need to apply rigid motions step by step. Hope this helps!!
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