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1 answer:
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Answer:
The cable car’s elevation will be 750 feet after 15 minutes or 65 minutes.
Step-by-step explanation:
Given: A cable car begins its trip by moving up a hill. As it moves up, it gains elevation at a constant rate of 50 feet/minute until it reaches the peak at 2,000 feet.
Then, total time taken to reach the peak = (Distance) ÷ (speed)
= (2,000 feet) ÷ ( 50 feet/minute)
= 40 minutes
Then, as the car moves down to the hill’s base, its elevation drops at the same rate.
The equation that models the cable car’s elevation, e, after t minutes is
e= (constant rate)|t- time to reach peak |+ Peak's height
When the cable car’s elevation will be 750 feet after minutes, then we have
Time cannot be negative, so the cable car’s elevation will be 750 feet after 15 minutes or 65 minutes.
Answer:
Mr. O'neill buy 33 turkey slices.
Step-by-step explanation:
Firstly let us denote <em>amount of money spent on Cheese by the symbol C.</em>
<em> amount of money spent on Turkey by the symbol T.</em>
<em> amount of money spent on Wheat by the symbol W.</em>
Now we are the ratio of amount of money spent on cheese to the amount of money spent on turkey slices as 2:3 ;
We can represent this as =
The ratio of the amount of money spent on cheese to the amount of money spent on wheat rolls is 6:5 ;
We can represent this as =
Now we will make C also 6 in the first ratio to represent similarity in ratios i.e. =
=
So, the ratio of amount of money spent on cheese to the amount of money spent on turkey slices to the amount of money spent on wheat rolls is represented by 6 : 9 : 5.
To find the amount of money spent on turkey slices = = $24.75
Since cost of each turkey slice cost = $ 0.75
Therefore, Cost of each turkey slice * Number of turkey slices = Total amount of money spent on turkey slices
$0.75 * Number of turkey slices = $24.75
Therefore, Number of turkey slices that Mr. O'neill buy = $24.75/$0.75
= 33 slices.