Answer:
The big pump moves 22 more gallons in 10mins
Step-by-step explanation:
The total the big pump moves is 30 gallons in 10mins because 3x10 = 30
The small pump moves 8 gallons in 10mins becuase 4x2= 8
Its asking for how many more so 30 - 8 = 22 More gallons
Answer(x-8)/4
Step-by-step explanation:
There are two separate equations for this question that use the same variable.
Mary took 7 hours to complete a trip with traffic. This would use the following expression:

Mary took 4 hours to complete the same trip without traffic. The average rate of speed was 27 mph faster than the trip with traffic. This uses the following expression:

Both trips had the same distance. From the information provided, we can set up the following equation:

x represents the average rate of speed on both trips.
Distribute 4 to each term in parentheses:



Subtract 4x from both sides:

Divide both sides by 3 to get x by itself:

The average speed for the slower trip is 36 mph.
We can plug this value into the first equation:

Mary lives
252 miles away from the mountains.
Answer:
A= pi r(r+h2+r2)
Step-by-step explanation:
Multiply the radius by pi, then set that aside for a bit.
Square the height and the radius as well, then add those together. This is how it would look:
3.14 x 4 = 12.56
7 x 7 = 49 ; 4 x 4 = 16 ; 16 + 49 + 4 = 69 ; 69 x 12.56
I think this is the answer. Can't say I'm 100% sure, though.
Probability = (number of ways to succeed) / (total possible outcomes) .
The total possible results of rolling two dice is
(6 on the first cube) x (6 on the second one) = 36 possibilities.
How many are successful ? I need you to clarify something first.
You said that the 'second die' shows an odd number. When a pair
of dice is rolled, the problem usually doesn't distinguish between them.
And in fact, you said that they're "tossed together" (like a spinach and
arugula salad ?) so I would understand that they would lose their identity
unless they were, say, painted different colors, and we wouldn't know
which one is the second one.
Oh well, I'll just work it both ways:
First way:
Two identical dice are tossed.
The total is 5 and ONE cube shows an odd number.
How can that happen ?
1 ... 4
4 ... 1
3 ... 2
2 ... 3
Four possibilities. Probability = 4/36 = 1/9 = 11.1% .
=======================================
Second way:
A black and a white cube are tossed together.
The total is 5 and the white cube shows an odd number.
How can that happen:
B ... W
4 .... 1
2 .... 3
Only two possibilities. Probability = 2/36 = 1/18 = 5.6% .