Answer:
x=4
Step-by-step explanation:
2/3 x + 5/6 = x - 1/2
Multiply each side by 6 to clear the fractions
6(2/3 x + 5/6) = 6(x - 1/2)
Distribute
4x +5 = 6x-3
Subtract 4x from each side
4x+5 -4x = 6x-3-4x
5 = 2x-3
Add 3 to each side
5+3= 2x-3+3
8 =2x
Divide by 2
8/2 =2x/2
4 =x
Answer:
D
Step-by-step explanation:
We can substitute y = 2x + 1 in the second equation
2x + 1 = -7x + 8
Add 7x to both sides
9x + 1 = 8
Subtact 1 from both sides
9x = 7
x = 7/9
Substituing x in the first equation
y = 14/9 + 1
x rounds to 0.8
y rounds to 2.5
Answer:
1.5x ≤ 60
Step-by-step explanation:
He wants to run no more than 60 minutes a day
No more than means Less than or equal to with the inequality sign of ≤
Each lap = 1.5 minutes.
The greatest number of laps Peter could run = x
Therefore, the inequality that best represents the situation and represents x, the greatest number of laps Peter could run in a day
1.5 × x ≤ 60 minutes
= 1.5x ≤ 60
Solving for x
1.5x ≤ 60
x ≤ 60/1.5
x ≤ 40 laps
Hence, the Greatest number of laps = x that he can run is 40 laps
