A. 5x and 2y
B. 3 and x
C. 5x and x
D. 4
Answer:
If
is divisible by 3, the n is also divisible by 3.
Step-by-step explanation:
We will prove this with the help of contrapositive that is we prove that if n is not divisible by 3, then,
is not divisible by 3.
Let n not be divisible by 3. Then
can be written in the form of fraction
, where x and y are co-prime to each other or in other words the fraction is in lowest form.
Now, squaring

Thus,


It can be clearly seen that the fraction
is in lowest form.
Hence,
is not divisible by 3.
Thus, by contrapositivity if
is divisible by 3, the n is also divisible by 3.
Unit rate refers to how much the buyer paid per unit. Let’s do the math:
$2.52 for 4.5 pounds of potatoes
Divide $2.52 by 4.5
The shopper paid 56 cents per pound of potatoes.
Now $7.75 spent for 2.5 pounds of broccoli.
Divide $7.75 by 2.5.
The shopper paid $3.10 for each pound of broccoli.
Last $2.45 for 2.5 pounds of pears.
The shopper will spend 98 cents per pounds of pears.
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30% is equivalent to 3/10
So any fraction that can be simplified to 3/10.
Another way to to think about it if you multiply 3/10 by any number over it self because that is equivalent to 1.
Like 3/10 * 2/2 =6/20 is also equal to 30%