The answer is true because the X (to the right) values does not repeat itself
If he uses 1 quarter, he has 40 cent left to make.He can do that in two ways, by using 2 dimes andall four nickels, or all 3 dimes snd 2 nickels.That's 2 ways.
If he uses both quarters, he has 15 cent left to make.He can do that in two ways by using 1 dime and 1 nickel,or no dimes and 3 nickels.That's 2 more ways. So there are four ways to make 65 cents.
Answer:
5 1/3 hours.
Step-by-step explanation:
Ashley prepares 1 bag in 2/3 minutes.
One friend takes 2/3 + 3/4 * 2/3 = 7/6 minutes to make 1 bag.
4 of her friends can make 1 bag in 7/6 * 1/4 = 7/24 minutes.
If it takes x minutes for Ashley and 4 friends to make one bag then we have:
1 / 2/3 + 1 / 7/24 = 1 / x
3/2 + 24/7 = 1/x
Multiply through by 14x:
21x + 48x = 14
x = 14/69 minutes.
So the time to make 1575 bags = 1575 * 14/69
= 320 minutes.
Answer:
1922.7 cubic inches
Step-by-step explanation:
The volume of a cylinder can be found with this formula:
V=πr^2h
The radius, r, is half the diameter.
So, 12/2=6
r=6 inches
Then, just plug the numbers in.
V=π(6)^2(17)
V=1922.65
Rounding to the nearest tenth:
V=1922.7 cubic inches
I believe the answer would be inconsistent and dependent, and also inconsistent and independent. System of equations with three variables are either independent, dependent or inconsistent , each case can be established algebraically and represented graphically.