Answer:
Kabuls = 7.5
Carumpts= 0.85
Step-by-step explanation:
Let x represent the price of kabuls
Let y represent the price of carumpts
8x + 2y= 61.70......equation 1
3x + 10y= 31.........equation 2
Multiply equation 1 by 3 and equation 2 by 8
24x + 6y= 185.1
24x + 80y= 248
-74y = -62.9
y= 62.9/74
y= 0.85
Substitute 0.85 for y in equation 1
8x + 2(0.85) = 61.70
8x + 1.7= 61.70
8x = 61.70-1.7
8x = 60
x= 60/8
x= 7.5
Hence the dollar value for kabuls is 7.5 and carumpts is 0.85
0.05 is 1/10 the value of 0.5.
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.
Any set of numbers (x, y) for which this inequality is true is a solution.
For example, the point (1, -5) is a solution because fitting it into the inequality gives us
<u>- 5 < - 2</u> which is true.
However, the point (3, 5) wouldn't be a solution because it would give us the inequality
<u>5 < 2</u> which is not true.
Answer:
A: 7
B:1
C: 2
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