Answer: The three numbers are 8, 12 and 20.
Explanation:
Let k be the ratio of the numbers
The numbers: 2k, 3k, 5k
(2k)^2 + (3k)^2 (5k)^2 = 608
4k^2 + 9k^2 + 25k^2 = 608
38k^2 = 608
k^2 = 16
k = 4
Hence, the three numbers are 8, 12 and 20.
Answer:
18 gallons containing 20% solvent and 6 gallons containing 60% solvent
Step-by-step explanation:
the painter needs 24 gallons of paint containing 30% solvent = 7.2 gallons of solvent
let a = 20% solvent paint
let b = 60% solvent paint
a + b = 24
0.2a + 0.6b = 7.2
(replace a = 24 - b in the second equation)
a + b = 24
0.2(24 - b) + 0.6b = 7.2
4.8 - 0.2b + 0.6b = 7.2
0.4b = 7.2 - 4.8 = 2.4
b = 2.4 / 0.4 = 6
a = 24 - 6 = 18
Answer:
f(x) = 2^(2x+1)
Step-by-step explanation:
2 = 2¹
8 = 2³
32 = 2⁵
128 = 2⁷
1,3,5 and 7 are odd numbers.
Individual numbers in mathematics are represented as 2x + 1.
The answer . to your question is yes