6j + 1/3n = 134...multiply by 3....18j + n = 402
1/3j + n = 31....multiply by 3....j + 3n = 93
the multiplying by 3 is optional...I just did it because it is easier to work with equations when there are no fractions.
18j + n = 402....multiply by -3
j + 3n = 93
----------------
-54j - 3n = - 1206 (result of multiplying by -3)
j + 3n = 93
----------------add
-53j = - 1113
j = -1113/-53
j = 21
j + 3n = 93
21 + 3n = 93
3n = 93 - 21
3n = 72
n = 72/3
n = 24
so Jasons collection (j) consists of 21 books and Nathans collection (n) consists of 24 books
Answer:
You will need 3 6/13 quarts of peanuts to make 3 jars of peanuts butter
Step-by-step explanation:
To make this answering seamless, we make the mixed fractions into improper fractions
Hence 2 1/2 becomes 5/2
while 2 1/6 becomes 13/6
Here we are told that a bag with 5/2 quarts of peanuts can make 13/6 jars of peanuts butter
Hence, x quarts of peanuts will make 3 jars of peanuts butter
To get the value of x, what we simply need to do is to cross multiply.
Thus, we have
5/2 - 13/6
x - 3
3 * 5/2 = 13/6 * x
15/2 = 13x/6
26x = 90
x = 90/26
x = 45/13
x = 3 6/13
Answer:
yes, this forms a right angle
By definition of conditional probability,
P(B | A) = P(A ∩ B)/P(A) = (13/25) / (13/20) = 20/25 = 4/5
240 ft^2 = L X W
240 = 3W x W
240 = 3W^2
W = 8.94427 ft
L = 3W = 3(8.94427)
L = 26.8328 FT
