Answer:
m(x) = 5 + 100x
Step-by-step explanation:
Let m(x) be the balance of the account after x months.
m(x) = 5 + 100x
X = 3
2(4x - 3) - 8 = 4 + 2x
1. Distribute
8x - 6 - 8 = 4 + 2x
2. Collect like terms
8x - 14 = 4 + 2x
3. Collect like terms again (add 14 and subtract 2x)
6x = 18
4. Divide by 6
x = 3
Answer:
3 : 1
Step-by-step explanation:
ratio = teeth on front sprocket : teeth on rear sprocket
= 36 : 12 ( divide both parts of the ratio by 12 )
= 3 : 1 ← in simplest form
Answer:
original weight of the box = 15 / 16 pounds
Explanation:
Assume that the original amount in the box is x.
We are given that:
5/8 pounds represent 2/3 of the total amount (x).
This can be translated into the following equation:
(2/3) x = 5 / 8
Now, we will solve for x as follows:
(2/3) x = 5 / 8
Multiply both sides by 24 to get rid of the denominators as follows:
(2/3) x * 24 = (5 / 8) * 24
16 x = 15
Divide both sides by 16 to isolate the x as follows:
x = 15 / 16 pounds
Hope this helps :)
