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: $8 chicken $5 duck
Step-by-step explanation:
50x+30y=550
x=8
y=5
400+150=550
Answer:
1/5, 1/3, 4/6
Step-by-step explanation:
First, find all the common denominators for these numbers. In this case, it's 30.
1/5 = 10/30
4/6 = 20/30
1/5 = 6/30
Now, you can see which ones are greatest and least.
1. 1/5 (least)
2. 1/3 (middle)
3. 4/6 (greatest)
Answer: The constant of proportionality is 1.5
Step-by-step explanation:
The equation for constant of proportionality is y=KX. the K stands for the constant of proportionality and since the constant proportionality is 1.5 you will take 1.5 * x and for example x is 2 so you do 1.5 * 2 and you get 3 and 3 is your y. If you plug in the equation you're saying 3 equals 1.5 * 2 which is right.
Answer:
x=33.4
Step-by-step explanation: