Step-by-step explanation:
3.5 hours for 1 cake means 3.5 hours per cake.
similar : 2 hours for 1 pie means 2 hours per pie.
so, if there are e.g. 3 pies, they take 3×2 = 6 hours.
therefore the general constraint is
3.5x1 + 2x2 <= 70
I think the names "x1" and "x2" are confusing when writing this inequality.
I prefer to use x and y.
and then it would look like
3.5x + 2y <= 70
Answer:
2/5
Step-by-step explanation:
The lines are parallel, so they have the same slope.
The red lines has a slope of 2/5
The green line has a slope of 2/5
just look up math papa algebra calculator it gives you the answer and explains it step by step :)
Answer: it will take a combined rate of 2.67 hours
Step-by-step explanation:
Father can do the job on the farm in 6 hours. This means that the father's unit rate of working will be 1/6
The older son can do it in 8 hours. This means that the older son's rate of working will be 1/8
The younger son can do same job in 12 hours. This means that the younger son's working rate is 1/12
When they work together, they will be working simultaneously. It means that their unit rates are additive. The combined unit rates will be
1/6 + 1/8 + 1/12 = (20 + 15 + 10)/120
45/120
Assuming it takes t hours for them to complete the work while doing it together. Their combined unit rate will be 1/t
45/120 = 1/t
45t = 120
t = 120/45 = 2.67 hours
Answer:
D
Step-by-step explanation: