Answer: 240 minutes, 20 cups, 4000 pounds
<u>Step-by-step explanation:</u>
Use the following conversions:
1 hour = 60 minutes
2 cups = 1 pint
2 pints = 1 quart
1 ton = 2000 pounds

New York got 4.64 times more snow than Boston did.
If Boston got 2.8 feet of snow and New York City got 13 feet, the amount of feet that New York got more than Boston is:
= Amount of snow New York got / Amount of snow Boston got
= 13 / 2.8
= 4.64 more than Boston
New York therefore got about 4.64 more snow than Boston did
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For this case we have the following expression:
h (t) = - 16t ^ 2 + 122t + 10
We look for the maximum of the function, for this, we derive:
h '(t) = - 32t + 122
We match zero:
-32t + 122 = 0
We cleared t:
t = 122/32
t = 3.8125 s
Then, the maximum height will be:
h (3.8125) = - 16 * (3.2185) ^ 2 + 122 * (3.2185) +10
h (3.8125) = 236.92 feet
Answer:
It takes the boulder to reach maximum height about:
t = 3.8125 s
the boulders maximum height is:
236.92 feet
A fraction with a denominator of 4 that is less than 7/12 miles is 1/4.Let the fraction be x/4. Since this fraction must be less than 7/12 miles, we can write the inequality, x/4 < 7/12.We now solve the inequality for x to obtain, x<7/12(4).
This simplifies to x<7/3
This implies that x<2 1/3
This is distance so x is positive.
So we can choose x=1 or x=2.
Therefore the possible fractions include 1/4 or 2/4.
In the simplest form, the most appropriate fraction is 1/4