Since he must not exceed 8 hours driving in a day:
Let the distance of the picnic be = x km.
Therefore time for forward journey = x / 60
Return journey = x / 50
The total trip should not exceed 8 hours.
Therefore: x / 60 + x / 50 <= 8. LCM = 300
Taking LCM and multiplying on both sides:
5x + 6x <= 8(300)
11x <= 2400
x <= 2400/11
x <= 218.18
The picnic spot must be less than or equal to 218.18 km.
Answer:
7
Step-by-step explanation:
Answer: 2nd diagram, explanation below
Step-by-step explanation:
Since it is 8 magnet students for 3 magic students, the second diagram is correct.
The second part, you would need to set up a system of equations:
Let m = magnet students and t = magic students
t + 25 = m
(8/3)t = m. Since m = m, substitute: t + 25 = (8/3)(t). Now solve for t: t = 8t/3 - 25,
t = (8t - 75)/3, in this step I turned 25 into 75/3 and place it with 8t so it doesn't change the value of the equation.
3t = 8t - 75, in this step I multiplied every term by 3 to eliminate the demoninator. Now I solve the final steps:
-5t = -75, 5t = 75
t = 15
Hope this helps, please consider making me Brainliest.
-x^2 + 9 - 3x^2 - 11x + 4
-4x^2 - 11x + 13
