Answer:
4
Step-by-step explanation:
Let x = the number of years
In x years, Mai's mother's age will be: 28 + x
and Mai's age will be: 12 + x
Then, 28 + x = 2(12 + x)
Distribute the 2 28 + x = 24 + 2x
Subtract 24 from each side 4 + x = 2x
Subtract x from each side x = 4
In four years, Mai's mother will be twice Mai's age.
<em>Check:
</em>
28 + 4 = 2(12 + 4)
32 = 2 × 16
32 = 32
Answer:
8
Step-by-step explanation:
The numbers are 6 and 2x, then:
- 1/6 + 1/(2x) = 7/24
- 1/3 + 1/x = 7/12
- (x+3)/(3x) = 7/12
- 12(x+3) = 7*3x
- 12x + 36 = 21x
- 21x - 12x = 36
- 9x = 36
- x = 4
The other number is 2*4 = 8
Step-by-step explanation:
We will prove by contradiction. Assume that
is an odd prime but n is not a power of 2. Then, there exists an odd prime number p such that
. Then, for some integer
,

Therefore

Here we will use the formula for the sum of odd powers, which states that, for
and an odd positive number
,

Applying this formula in 1) we obtain that
.
Then, as
we have that
is not a prime number, which is a contradiction.
In conclusion, if
is an odd prime, then n must be a power of 2.
Answer:
-k + (6.2m - 1)
Step-by-step explanation:
You distribute the negative to everything in the parentheses and change the sign to addition.
Answer:
From google answers.. the answer is D
Step-by-step explanation: