C is the answer to the problem
Use this rule: <em>(x^a)^b = x^ab</em>
3(x + 2)^3/5 + 2 = 27
Subtract 3 from both sides
3(x + 2)^3/5 = 27 - 3
Simplify 27 - 3 to 24
3(x + 2)^3/5 = 24
Divide both sides by 3
(x + 2)^3/5 = 24/3
Simplify 24/3 to 8
(x + 2)^3/5 = 8
Take the cube root of both sides
x + 2 = 3/5√8
Invert and multiply
x + 2 = 8^5/3
Calculate
x + 2 = 2^5
Simplify 2^5 to 32
x + 2 = 32
Subtract 2 from both sides
x = 32 - 2
Simplify 32 - 3 to 30
<u>x = 30</u>
Given:
The table that shows the relationship of the total number of pieces of fruit to the number of bananas.
To find:
Why is
not equivalent to
.
Solution:
If a, b, c are real numbers, then

The given fraction is
. It can be written as:

The number 3 is multiplied by 2 to get 6. So, the 2 should also be multiplied by 2. The ratio should be
, not
.
Therefore, the correct option is A.
Answer:
10
Step-by-step explanation:
So we have the expression:

First, evaluate within the absolute value bars. 3 times -4 is -12. Thus:

Now, subtract:

The absolute value of -10 is positive 10. So:

And we're done!