Answer:
The vehicle can travel 12 miles per gallon of gas.
Step-by-step explanation:
- The number of gallons used by a vehicle = 1 1/8 gallons
i.e.
gallons
- The number of miles traveled by a vehicle = 13 1/2 miles
i.e.
miles
Thus,
Total Gallons =9/8 gallons
Total Distance in miles = 27/2 miles
Hence:
Unit Rate = [27/2 miles] / [9/8 gallons]
= 12 miles per gallons ∵
Therefore, the vehicle can travel 12 miles per gallon of gas.
Since there are a 100 cents in a dollar. the 100 is the denominator.
46/100, reduce; 23/50, can't be reduced any further. so 23/50 is the fraction.
Answer:
Increased by a factor of 4
Step-by-step explanation:
The original circumference is:
C1 = 2 * pi * r1
The new circumference is:
C2 = (2 * pi * r2)
"circumference that is 4 times larger than the original"
(2 * pi * r2) = 4 (2 * pi * r1)
Rewriting:
r2 = 4r1
Answer:
The radius of the original circle is:
increased by a factor of 4
Hope this helps :)
Answer:
a) -13.9 ft/s
b) 13.9 ft/s
Step-by-step explanation:
a) The rate of his distance from the second base when he is halfway to first base can be found by differentiating the following Pythagorean theorem equation respect t:
(1)
(2)
Since:
When x = 45 (the batter is halfway to first base), D is:
Now, by introducing D = 100.62, x = 45 and dx/dt = 31 into equation (2) we have:
Hence, the rate of his distance from second base decreasing when he is halfway to first base is -13.9 ft/s.
b) The rate of his distance from third base increasing at the same moment is given by differentiating the folowing Pythagorean theorem equation respect t:
(3)
We have that D is:
By entering x = 45, dx/dt = 31 and D = 100.63 into equation (3) we have:
Therefore, the rate of the batter when he is from third base increasing at the same moment is 13.9 ft/s.
I hope it helps you!