Answer:
Rate in still water = 27 mph
Rate in the current =36 mph
Step-by-step explanation:
The rate is the speed the boat use to travel in the water
The distance travelled upstream = 108 miles
The time taken to travel upstream = 4 hours
The rate in still water /upstream = 108/4 = 27 mph
The rate in the current /downstream = 108/3 =36 mph
I need help on this one as well
Answer:
This is a linear equation, there's nothing to simplify.
The slope in this equation is 1.25
The y-intercept of this equation is 10
9514 1404 393
Answer:
- 80
- 40
- 10 to 20, inclusive
Step-by-step explanation:
1. The various goals can be met without filling the theater. This fact means there is a range of possibilities for each of the answers. However, we take the wording, "because of the demand for tickets ..." to mean demand is high and the theater will be sold out.
Since two children's tickets will be sold for each adult ticket sold, the number of children's tickets is 2/3 of the total.
children's tickets = 2/3 × 120 = 80
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2. The remaining 40 tickets will be adult tickets.
40 adult tickets will be sold.
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3. The total revenue must be at least $1800. If we allow 'd' tickets to be sold at a discount, then we can find the limits on d using the inequality ...
24(40-d) +24(0.75)d +12(80) ≥ 1800 . . . . revenue from ticket sales
-6d ≥ -120 . . . . . . . . . . . . . . . . . . . collect terms, subtract 1920
d ≤ 20 . . . . . . . . . . divide by -6
At least 10 and at most 20 adult tickets can be sold with a discount.
("At least 10" comes from the problem requirements.)
