Answer:
3 nickels and 5 quarters
Step-by-step explanation:
Let n = number of nickels
q = number of quarters
q = n+2
.25q + .05n = 1.40
Using the first equation and replacing q in the second equation
.25( n+2) + .05n = 1.40
Distribute
.25n+.50 +.05n = 1.40
Combine like terms
.30n +.5 = 1.40
Subtract .5 from each side
.3n +.5-.5 = 1.40-.4
.3n = .9
Divide by .3
.3n/.3 = .9/.3
n = 3
q = n+2
q=5
Answer:
16/29
Step-by-step explanation:
P(A∪B) = P(A) + P(B) - P(A∩B)
P(basketball or baseball) = P(basketball) + P(baseball) - P(both)
= (13/29) + (7/29) - (4/29)
= 16/29
The probability that a randomly chosen student plays either sport is 16/29.
Answer:
Step-by-step explanation:
Angles 1, 2, and 3 are supplementary (they add up to equal 180). If angles 1 and 3 are 20 each, then their sum in 40, making angle 2
180 - 40 = 140. If this central angle is 140 degrees, then the measure of the arc that it cuts off also measures 140 degrees. This is not to be confused with the arc length, which is not even remotely the same thing!
Answer: 
or 
Step-by-step explanation:
For this exercise you can convert the mixed number to an improper fraction:
1. Multiply the whole number part by the denominator of the fraction.
2. Add the product obtained and the numerator of the fraction (This will be the new numerator).
3. The denominator does not change.
Then:
You know that he had 30 minutes in time-out, he counted spots on the ceiling for 
minutes and the rest of the time he made faces at his stuffed tiger.
Then, in order to calculate the time Calvin spent making faces at his stuffed tiger, you need to subract 30 minutes and minutes:
or
