Answer:
3*5^2
Step-by-step explanation:
75 is divisible by 3
75/3 = 25
25 is not divisible by 3, but it is divisible by 5.
25 = 5^2.
25/25 = 1. We are done.
Given:
The expression is:

To find:
Part A: The expression using parentheses so that the expression equals 23.
Part B: The expression using parentheses so that the expression equals 3.
Solution:
Part A:
In option A,

[Using BODMAS]

In option B,

[Using BODMAS]

In option C,


In option D,

[Using BODMAS]

After the calculation, we have
and
.
Therefore, the correct options are B and D.
Part B: From part A, it is clear that

Therefore, the correct option is C.
Answer: 
Step-by-step explanation:
For this exercise it is important to remember the following:
1. By definition, the "Product" is the result of a multiplication.
2. The "Difference" is defined as the result of a subtraction.
3. The Distributive property states that:

Keeping the above on mind, you know that:
"The difference of
and
" can be represented with the following expression:

Therefore, "The product of -13 and the difference of
and
" can be represented with this expression:

Finally, you must apply the Distributive property in order to simplify the expression. You get:

Answer: Ethan will have to spend 2 hours reading if 14 pages are left to read
Step-by-step explanation:
Given the equation
P=-30h+74
where p =number of pages left to read and
h= the number of hours he has spent reading
Therefore , if Ethan has 14 pages left to read, then the number of hours Ethan will have to read will be
P=-30h+74
14= -30h + 74
30h= 74-14
30h= 60
h = 60/30
h =2 hours
Ethan will have to spend 2 hours reading if 14 pages are left to read
Answer:
The square root of 465 with one digit decimal accuracy is 21.5.
Step-by-step explanation:
√465 = 21.5