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

Answer:
4r + 4(r + 3) = 68
r = 7 miles per hour
r + 3 = 10 miles per hour
Step-by-step explanation:
distance = rate * time
a)
4r + 4(r + 3) = 68
Distribute
4r + 4r + 12 = 68
8r + 12 = 68
8r = 56
r = 7 miles per hour
r + 3 = 10 miles per hour
Consider the absolute value, because we only worry about the quadrant later.


Thus, we know that the hypotenuse has a length of 4 units, and the side opposite the angle, A is √3, because this is the nature of the sine function in relation to its triangular component.
The missing side can be found using Pythagoras' Theorem:
4² - (√3)² = x²
16 - 3 = x²
13 = x²
x = √13

Since angle A is in the third quadrant, the tangent function will produce a positive angle.


32+20=52 so there are 52 people in all.
32/52 people are men.
we now have to subtract 1 from this fraction like so 32-1/52-1 since the magician took away 1 man from the audience (therefore reducing the amount of men as well as the audience as a whole) resulting in 31/51
we multiply 32/52 with 31/51 to get 248/663. simply turn this fraction into a percent by multiplying the quotient by 100 and rounding it to the nearest tenth to get 37.4%
Answer:
It takes the frog 7 hours to get out of the well.
Step-by-step explanation:
We know that the well is 11 feet deep and the frog can climb 3 feet per hour.
Each time it climbs, it rests for an hour, and decreases its height by 1 foot.
So, if the frog reaches 3 feet in the first hour, then in the next hour it is 2 feet.
Lets calculate with the same pattern:
1st hour: 3 feet
2nd hour:
feet
3rd hour:
feet
4th hour:
feet
5th hour:
feet
6th hour:
feet
5th hour:
feet
6th hour:
feet
7th hour:
feet
Therefore, it takes the frog 7 hours to get out of the well.