5)
1 answer:
Answer:
- bath: $28
- hand: $16
Step-by-step explanation:
Apparently, your system of equations is supposed to be ...
- 4b -3h = 64
- 5b -6h = 44
We can multiply the first equation by 2 and subtract the second equation:
2(4b -3h) -(5b -6h) = 2(64) -(44)
3b = 84
b = 28
Using the first equation, we can find the price of a hand towel:
4b -64 = 3h
h = (4/3)(b -16) . . . . . divide by 3 and factor out 4
h = (4/3)(28 -16) = 16
Bath towels cost $28 each, and hand towels cost $16 each.
You might be interested in
Answer:
a₈ = 37
Step-by-step explanation:
The given arithmetic sequence is: 3, 8, 13, 18, 23, . . .
The recursive formula for the sequence is:
Here, represents the
of the sequence.
And, represents the
of the sequence.
'+5' denotes that '5' is added to the term to get the
term. In other words, the difference between two consecutive numbers in the sequence is 5.
Now, we are asked to find a₈ i.e., n =8.
Substituting in the recursive formula we get: a₈ = a₍₈₋ ₁₎ + 5 = a₇ + 5.
So, to determine a₈ we need to know a₇. From the sequence we see that a₅ = 23.
⇒ a₆ = 23 + 5 = 28.
⇒ a₇ = 28 + 5 = 32.
⇒ a₈ = 32 + 5 = 37.
Therefore, the term of the sequence is 37.