Answer:
60.
Step-by-step explanation:
Given:
Expression is

To prove:
If r is any rational number, then
is rational.
Step-by-step explanation:
Property 1: Every integer is a rational number. It is Theorem 4.3.1.
Property 2: The sum of any two rational numbers is rational. It is Theorem 4.3.2.
Property 3: The product of any two rational numbers is rational. It is Exercise 15 in Section 4.3.
Let r be any rational number.
We have,

It can be written as

Now,
3, -2 and 4 are rational numbers by property 1.
is rational by Property 3.
are rational by Property 3.
is rational by property 2.
So,
is rational.
Hence proved.
Answer:
The answer is
<h2>9/100</h2>
Step-by-step explanation:
11.5/128
First convert the decimal to an improper fraction
That's

So we have

Change the division sign to multiplication sign and reverse the second number
That's

Simplify

Divide through by 32
The final answer is

Hope this helps you
Answer:
The equivalent expression is;

Step-by-step explanation:
The given expression is:

Recall that:

In our case,
and
.
We use this property of exponent to obtain;

Answer: b) 384 sq. in.
Step-by-step explanation:
Surface area of cube = 6a^2
= 6 (8)^2
= 6 x 64
= 384 sq. in.