Answer:
12.49 = r
13 = r to the nearest cm.
Step-by-step explanation:
The formula to calculate the volume is:
V = π*r^2*h
We know that V = 10291 cm^3 and Height (h) = 21cm
V = π*r^2*h
10291 = π*r^2*21
Divide both side by 21
10291/21 = (π*r^2*21)/21
490.05 = π*r^2
Now divide both side by π
490.05/π = (π*r^2)/π
155.99 = r^2
Now square root both side
√155.99 = √(r^2) Note: square and square root cancel eachother out.
12.49 = r or,
13 = r
He can drive 23 miles with 1 gallon of gas because 69/3= 23
6n^2-18n
1.find your GCF
"6n"
final answer;
6n(n-3)
Answer:
6:9
Step-by-step explanation:
Lets assume the relationship between the amount of blue and red marbles are proportional. If there are 6 red marbles , then we would need need to find out how much times you multiplied 2 by to get.
6/2 is 3, which means that you multiplied the red marbles by 3 to get 6 of them.
Since the relationship between red and blue marbles is equivalent, we just need to multiply the blue marbles by 3 as well, to even it out.
3x3=9
There are 9 blue marbles if there are 6 red marbles.
Answer: 
Step-by-step explanation:
We can make the conversion from mixed numbers to improper fractions:
- Multiply the whole number part by the denominator of the fraction.
- Add the numerator of the fraction and the product obtained (This sum will be the new numerator).
- The denominator is the same.
Then:

We need to add the fractions in order to calculate the amount of paint Darren bought. Since the denominators are differente, we must find the Least Common Denominator (LCD):

Then:

To convert this improper fraction to a mixed number:
- When you divide 73 by 12 you get a quotient of 6. This will be the whole number.
- The remainder obtained is 1. This will be the numerator of the fraction.
- The denominator does not change.
Then:
