Answer:
b) p=26
Step-by-step explanation:
3p + 3 · 8 = 2 ·2p - 2
3p + 24 = 4p - 2
p = 26
Answer:
No
Step-by-step explanation:
We can use the Pytaghorean theorem to verify it
4.4^2 + 5.5^2 = 6.6^2
19.36 + 30.25 = 43.56
49.61 = 43.56 (false)
Answer:
the first one and the second one not the third one
Answer:
The sequence is geometric
The common ratio is 0.5
Step-by-step explanation:
In the arithmetic sequence, there is a common difference between each two consecutive terms
In the geometric sequence, there is a common ratio between each two consecutive terms
Let us check the given sequence
∵ The first 3 terms are 12, 6, 3
∵ 6 - 12 = -6
∵ 3 - 6 = -3
∵ There is no common difference between the consecutive terms
∴ The sequence is not an arithmetic sequence
∵ 6 ÷ 12 = 0.5
∵ 3 ÷ 6 = 0.5
∴ There is a common ratio between each two consecutive terms
∴ The sequence is a geometric sequence
∴ The common ratio is 0.5
Answer:
2.5 gal would have to be replaced with 100% bleach to get the right concentration.
Step-by-step explanation:
If we drain X gal from the tank and we replace it with X gal of 100% bleach we will have in the tank: 80-X gal of 4% bleach and X gal of 100% bleach.
We can calculate the final concentration of the solution using a weighted average of the volumens where the weights are going to be the concentrations of each one:
(7%)×(80) = (4%)×(80-X) + (100%)×(X)
560 = 320-4X+100X
240 = 96X
X=2.5 gal
