Answer:
187
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Step-by-step explanation:
<u>Step 1: Define</u>
(3 + 2)² × 7 - 13 + 5²
<u>Step 2: Evaluate</u>
- (Parenthesis) Add: 5² × 7 - 13 + 5²
- Exponents: 25 × 7 - 13 + 25
- Multiply: 175 - 13 + 25
- Subtract: 162 + 25
- Add: 187
What would make finding the answer a bit easier, is converting them into improper fractions. You would turn that first fraction to

and the second fraction to

. (You are dividing a negative by a negative, therefore, your answer would be a positive.
Let's follow the procedure of keeping, switching, and flipping. You keep the first improper fraction, switch the division sign to a multiplication sign, and flip the second fraction. That would make it :

×

.
You multiply the 9 and the 2, you get 18. You multiply the 3 and the 4, you get 12. That makes it

. This, converted to a mixed fraction, makes 1

., which is the same as 1

. Your answer is the
SECOND CHOICE.
6,250
1,000/4,000 = 25/100
25/100 = x/5,000
x = 1,250
5,000 + 1,250 = 6,250
For this case we have the following expression:
(x ^ 6y ^ 8) ^ 3 / x ^ 2y ^ 2
Rewriting and for power properties we have:
(x ^ 18y ^ 24) / x ^ 2y ^ 2
(x ^ (18-2) y ^ (24-2))
(x ^ 16y ^ 22)
Answer:
The equivalent expression is given by:
(x ^ 16y ^ 22)
Length=2x
width=x
Perimeter of a rectangle=2(length) + 2(width)
We can suggest this equation:
24=2(2x)+2x
24=4x+2x
24=6x
x=24/6
x=4
length=2x=2(4)=8
width=x=4
area of a rectangle=length x width
area of this poster (rectangle)=(8 in)( 4 in)=32 in².
The area of this poster will be: 32 in²