1. 5^-12<span> because a^m * a^n = a^m+n</span>
2. 10<span> because a^m / a^n = a^m-n</span>
3. -3 because ( a^n)^m = a^n*m
<span>4. (5^-6 * 5^2) / 5^-4 = 5^-4 / 5^-8 = 5^-4+8 = </span>5^4
<span>5. 5^8 / ( 5^-4)^-3 = 5^8 / 5^12 = 5^8-12 = </span>5^-4
Set up a ratio:
5/3 = 40 / 2x+10
Cross multiply:
5(2x+10) = 3(40)
Simplify:
10x+50 = 120
Subtract 50 from each side:
10x = 70
Divide both sides by 10:
x = 70/10
x = 7
Answer:
5 books per month
Step-by-step explanation:
We are trying to find a rate.
To find books per month, we would take the number of books and divide it by the number of months.
This would give us 10 books/2 months.
10/2 simplifies to 5.
Therefore the answer would be 5 books per month.
Answer:
x=25/23
Step-by-step explanation:
Let's solve your equation step-by-step.
−23x+37=12
Step 1: Subtract 37 from both sides.
−23x+37−37=12−37
−23x=−25
Step 2: Divide both sides by -23.
x=25/23