Answer:
0.25 times r added to 0.6 times s
Step-by-step explanation:
We are given these three people age below:
- Jim's age
- Carla's age
- Tomy's age
We define the age of Jim as any variable, because the problem doesn't give any specific age. I will define Jim's age as x.
Next, Carla is 5 years older than Jim. That means if Carla is 5 years older, her age would be x+5.
Then Tomy is 6 years older than Carla. That means the age would be 6+(x+5).
The sum of their three ages is 31 years old. That means we add all these ages and equal to 31.

Combine like terms and solve for x.

Then we substitute the value of x in ages to find these three people ages.
- Jim's age = x = 5
- Carla's age = x+5 = 5+5 = 10
- Tomy's age = 6+(x+5) = 6+(5+5) = 6+10 = 16.
Answer
- Jim's age = 5
- Carla's age = 10
- Tomy's age = 16
Answer:
He should work
hours in overtime.
Step-by-step explanation:
Let x represents the number of hours of regular time and y represents the number of hours of overtime,
Since, earnings are $24 per hour for regular time and $36 per hour for overtime,
Thus, total earning = (24x + 36y) dollars,
Here, x = 40 hours and total earning = $ 1200,
By substituting the values,
1200 = 24(40) + 36y
1200 = 960 + 36y
240 = 36y
⇒ 
Hence, he should work
hours in overtime.
Answer:
Y = 2
X = 3
Step-by-step explanation:
Substitution:
6(4y-5) - y = 16
24y-30-y=16
23y=46
Y = 2
So then:
6x-2 = 16
6x = 18
X = 3
Solving the inequality
we get 
Step-by-step explanation:
We need to solve the inequality: 
Solving:

Adding -4 on both sides:


Divide both sides by -7 and reverse the inequality:


So, solving the inequality
we get 
Keywords: Solving inequalities
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