If at the end of the first half, the difference between the goals scored by the applewood team and the opposing team is greater than or equal to 8, then the referee will finish the game at the end of the first half.
If we call g the number of goals scored by the opposing team, then we can express this situation as an inequality:
However, it is impossible for a team to score -1 goal. Therefore the number of goals scored by the opposing team must be a number greater than 0.
So, the inequality is:
and 
The attached figure shows the graph for this inequality, which represents the number of goals that the opposing team could score if the referee finished the game in the first half.
Let's look at work rates per minute.
Together they can paint the wall in x minutes.
Working together, in 1 minute, they do 1/x of the job.
The student who paints the wall in 16 minutes does 1/16 of the job in 1 minute.
The student who paints the wall in 24 minutes does 1/24 of the job in 1 minute.
Together, they do 1/16 + 1/24 of the job in 1 minute, but from above, we see that together, they do 1/x of the job in 1 minute, so 1/16 + 1/24 must equal 1/x. That gives us our equation.
1/16 + 1/24 = 1/x
1/16 * 3/3 + 1/24 * 2/2 = 1/x
3/48 + 2/48 = 1/x
5/48 = 1/x
x = 48/5 = 9.6
Answer: It takes them 9.6 minutes, or about 10 minutes to do the job together.
Answer:
-42 ≤ x ≤ 102
Step-by-step explanation:
Compound from the fact that we're combining x≤42 and x≤102.
(-8x) ÷ (-2)
= (-4x) ÷ (-1)
= 4x ÷ 1 = 4x
Answer:86
Step-by-step explanation:
You would do multiplication first so 18x2 = 36 then you would add 36+50 which equals 86
