49/60 - 3/20 = (49 - 3(3))/60 = (49 - 9)/60 = 40/60 = 4/6 = 2/3
Answer:
2/3
How much does a customer at David's
1 answer:
Answer:
The solution as an ordered pair is (3,21)
Step-by-step explanation:
<u><em>The complete question is</em></u>
At David's skateboard shop, customers pay an upfront fee of $12 and then pay $3 per hour for each hour they use the skateboard.
How much does a customer at David's skateboard shop pay to rent a skateboard for 3 hours?
Write your answer as an ordered pair (h,C)
we know that
The linear equation in slope intercept form is equal to
where
C is the total cost to rent a skateboard
h is the number of hours
m is the slope or unit rate
b is the initial value (the C-intercept)
In this problem we have
The slope is equal to
The C-intercept or initial value is
substitute
For h=3 hours
substitute in the linear equation
therefore
The solution as an ordered pair is (3,21)
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<em><u>The system of equations that represents this situation are:</u></em>
q + p = 2
4q + 5p = 8
<em><u>Solution:</u></em>
Let q be the number of hours it took Courtney to walk from her house to the beach
Let p be the number of hours it took her to walk from the beach to the park
<em><u>The entire walk took 2 hours</u></em>
Therefore,
q + p = 2 ------- eqn 1
<em><u>The total distance Courtney walked was 8 kilometers</u></em>
Total distance = 8 km
Courtney walked from her house to the beach at a constant speed of 4 kilometers per hour
Then walked from the beach to the park at a constant speed of 5 kilometers per hour
<em><u>Distance is given as:</u></em>
<em><u>From her house to the beach:</u></em>
<em><u>From the beach to the park:</u></em>
We know that,
Total distance = 8 km
Therefore,
4q + 5p = 8 ------ eqn 2
<em><u>Thus the system of equations that represents this situation are:</u></em>
q + p = 2
4q + 5p = 8