1.) You have 12 toppings. You choose one topping--that leaves you with 11 toppings. You choose another--that leaves 10. 12×11×10 = 1,320.
Multiply 1,320 topping choices by 6 cheeses to get 7,920 total combinations.
2.) (Though I'm less sure of these)
CDs: 6×5×4×3×2 = 720
Cassettes: 5×4 = 20
DVDs: 8×7×6×5 = 1680
Represent Age of Time Traveler =========> X
Solve:
x = 3(x - 20 )
Step 1: Simplify Both sides of equation:
x = 3(x - 20 )
x = (3) (x) + (3) ( - 20 ) (Distribute ):
x = 3x + - 60
x = 3x - 60
Step 2: Subtract 3x from both sides:
x - 3x = 3x - 60 - 3x
- 2x = - 60
Step 3: Divide both sides by -2:
- 2x / - 2 = - 60 / - 2
x = 30
Answer: Our Time Traveler is 30 years old.
Hope that helps : )
Think of numbers that when they are divided by 10, the remainder is 9.
So numbers like: 19, 29, 39, 49, 59, 69, 79, 89, and 99.
Now numbers that when they are divided by 9, the remainder is 8.
So numbers like: 17, 26, 35, 44, 53, 62, 71, 80, 89, and 98.
Now the number that is alike from the two sets of numbers is n.
n=89
Double check your work.
Divide 89 by 10. Remainder of 9
Divide 89 by 9. Remainder of 8.
Hope this helps :)
Answer:
1) y= 3x + 7
2) y= 3/4x + 10
3) y= -5x - 2
4) y= 12x - 6
5) y= 1/2 + 9
Step-by-step explanation: