Jarred says these numbers 3/4 is equivalent to 2/3. Is Jarred correct? Explain
1 answer:
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Answer:
Please find a visual representation of the scenario generated with MS Excel
Step-by-step explanation:
The given data on how Kylo fills up the bathtub with water are;
The time it takes to fill the bathtub with 50 gallons of water = 15 minutes
The time it takes to drain 30 gallons from the bathtub = 5 minutes
The time it takes to add 5 gallons of hot water = 2 minutes
The time it takes for all the water to drain out = 4 minutes
The given scenario can be represented visually on the coordinate plane, as follows;
The y-axis represents the amount of water in the bathtub in gallons
The x-axis represents the time from the when Kylo begins to fill the bathtub
The coordinates of points in the visual representation of the given scenario are therefore;
At the start, the bathtub is empty;
y = 0, x = 0
Then we have;
Plotting the number of gallons and the cumulative time values on MS Excel gives a visual representation of the scenario
Answer:
The proportion of the volume of the cone to the volume of the pyramid is: 3.14 times bigger.
Step-by-step explanation:
<u>Given the information of the cone: </u>
- The height: 12 inches
- The radius of the base is : 10/2= 5 inches
=> the volume of the cone
= 1/3π
= 1/3*3.14*
= 314 cubic inches
<u>Given the information of the pyramid: </u>
- the height: 12 inches
- The base is a suqare with a side lengh = 5 inches
=> the volume of the pyramid:
= 1/3*Bh (where B is the area of the base)
= 1/3*5*5*12
= 100 cubic inches
<u>The proportion of the volume of the cone to the volume of the pyramid is: </u>
= 314 /100
= 3.14 times bigger.
Hope it will find you well