Alice bought 24 feet of yarn. How many yards of yarn did she purchase?
2 answers:
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Simplify both sides if needed. The left-hand side needs simplification.
4(x - 6)
-2x + 6
4x - 24 -2x + 6
All is left to do is add and subtract to get the x variable all alone.
4x - 24 -2x + 6
6x - 24 6 <-- Add 2x to both sides
6x 30 <-- Add 24 to both sides
x 5 <-- Divide both sides by 6
In order to be in the solution set, x has to be less than or equal to 5.
In interval notation: [5, -∞)
4(x - 6)
4x - 24
All is left to do is add and subtract to get the x variable all alone.
4x - 24
6x - 24
6x
x
In order to be in the solution set, x has to be less than or equal to 5.
In interval notation: [5, -∞)
Answer:
(a) Equations for both
--- lifeguard
--- camp counselor
(b) Total pay for 5 days
Lifeguard pays $800
Camp counselor pays $375
(c) Which pays more
Lifeguard job pays more
Step-by-step explanation:
Let
Given
Lifeguard job
Camp counselor job
Solving (a): The equation for both
The total pay for each job is calculated as:
Total Pay = Signing Bonus + Rate * Hours
So, we have:
Lifeguard
Camp counselor
Solving (b): Total pay for 5 days
First, we calculate the total hours worked in 5 days
So, the pay for each is:
--- Lifeguard
--- camp counselor
Solving (c): Which job pays more
By comparing the solution in (b)
<em>Hence, lifeguard job pays more</em>