Answer:
x=1
Step-by-step explanation:
Simplifying
6x + 5 = 11x
Reorder the terms:
5 + 6x = 11x
Solving
5 + 6x = 11x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-11x' to each side of the equation.
5 + 6x + -11x = 11x + -11x
Combine like terms: 6x + -11x = -5x
5 + -5x = 11x + -11x
Combine like terms: 11x + -11x = 0
5 + -5x = 0
Add '-5' to each side of the equation.
5 + -5 + -5x = 0 + -5
Combine like terms: 5 + -5 = 0
0 + -5x = 0 + -5
-5x = 0 + -5
Combine like terms: 0 + -5 = -5
-5x = -5
Divide each side by '-5'.
x = 1
Simplifying
x = 1
Answer:
$11,008.56.
Step-by-step explanation:
6% less each year means that the car is worth (100 - 6) = 94% or 0.94 of the previous year,
The function is:
f(t) = 15000(0.94)^t where t = the times in years.
After 5 years the value =
15000(0.94)^5
= $11008.56
A real world example of this equation might look something like this:
John Smith wanted to subscribe to Vague Co. In order to subscribe, there is an initial fee of $60, and an additional fee of $25 for each month that he's subscribed. However, John found another company he wanted to subscribe to, Random Inc., which had an initial fee of $20 and an additional fee of $35 per month. After doing a bit of math, John found that the cost to subscribe to both companies is equal for x months. How many months would it take for the costs of both subscriptions to be equal?
60 + 25x = 35x + 20 Given
60 = 10x + 20 Subtract 25x from both sides
40 = 10x Subtract 20 from both sides
4 = x Divide both sides by 10
It would take 4 months for the costs of a subscription to Vague Co. and Random Inc. to be equal.
Answer:
C) How many 1/8s are in 3?
Step-by-step explanation:
Do the algebraic process:
1/8x = 3
x = 24
This means there are 24 (twenty-four) 1/8's in 3.
You can also check:
1/8 • 24 = 3
This is the same as 24/8 = 3.
So, this answers the question, "How many 1/8s are in 3?"