Answer:
53
Step-by-step explanation:
70-17= 53
Answer:
A. 7
Step-by-step explanation:
z ÷ (–7) = –1.
multiply each side by -7
z ÷ (–7)*-7 = –1.*-7
z = 7
So the question is
:
5% of total sale is 125
'of' means mutiply
'is' means equals
percent means parts out of 100
5%=5/100=1/20
so now we have
1/20 times total sale=125
multiply both sides by 20 to clear fraction
20/20 times total sale=2500
1 times total sale=2500
total sale=2500
answer is total sale=$2500<span />
Answer:
(2, - 6 )
Step-by-step explanation:
Given the 2 equations
x = 
y + 5 → (1)
2x + 3y = - 14 → (2)
Substitute x = y + 5 into (2)
2( y + 5 ) + 3y = - 14 ← distribute and simplify left side
y + 10 + 3y = - 14
4y + 10 = - 14 ( subtract 10 from both sides )
4y = - 24 ( divide both sides by 4 )
y = - 6
Substitute y = - 6 into (1) for corresponding value of x
x = (0.5 × - 6 ) + 5 = - 3 + 5 = 2
Solution is (2, - 6 )
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.
