Answer:
117, 118, and 119
Step-by-step explanation:
You would distribute the 3a to the other terms inside the parenthesis:
3a*8a=24a^2
3a*(-6b)=-18ab
Your answer would be 24a^2-18ab
Solution:
<u>Step-1: Find the missing side length using Pythagoras theorem:</u>
- 115² = 69² + x²
- => 13225 = 4761 + x²
- => 13225 - 4761 = x²
- => 8464 = x²
- => x = √8464 = 92
<u>Step-2: Find the area of the rectangle:</u>
- Area of rectangle = LB
- => 69 x (92 + 100)
- => 69 x 192
- => 13248 units²
Answer: He has 6 dimes and 2 nickels.
Step-by-step explanation:
If D is the number of dimes and N the number of nickels, we have that:
He has 8 coins:
D + N = 8
He has $0.70 in total:
D*0.10 + N*0.05 = 0.70
Then we have two equations, now we need to isolate one variable in one of the equations and then replace it in the other, let's isolate D in the first equation:
D = 8 - N
Now we can replace it in the other equation:
(8 - N)*0.10 + N*0.05 = 0.70
0.80 - N*(0.10 - 0.05) = 0.70
-N*0.05 = 0.70 - 0.80 = -0.10
N = 0.10/0.05 = 2
D = 8 - N = 8 - 2 = 6
He has 6 dimes and 2 nickels.
