A equals 54
im thinking b equals 12 but i could be wrong
a is right though
Answer:
32
Step-by-step explanation:
We can either add all the terms.
2+6=8
2,8
8+6=14
2,8,14
14+6=20
2,8,14,20
20+6=6
2,8,14,20,26
26+6=32
2,8,14,20,26,32
The Sixth term is 32
or We can multiply 6 times 5 (30) and add 2, which would give us 32.
The reasoning behind this is that we are adding six five times (so six times five) and we are also adding the first term (2).
Let d = # of dimes
Let q = # of quarters
equation #1: number of coins
d + q = 1234
equation #2: value of coins
0.10d + 0.25q = 290.05
Solve #1 for d:
d=1234-q
Sub #1 into #2 and solve for q:
0.10d + 0.25q = 290.05
0.10(1234-q) + 0.25q = 290.05
123.4 - 0.10q + 0.25q = 290.05
0.15q = 166.65
q = 1111
Now go back to d=1234-q and sub in 1111 for q to find d:
d = 1234 - 1111
d = 123
1111 quarters and 123 dimes.
