Answer:
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Answer: In order to save money for a 1 day rental with plan B, the number of miles must be greater than 153.84 miles
Step-by-step explanation:
Let x represent the number of miles driven with either plan A or B.
Plan A: 30 dollars per day and 13 cents per mile. It means that the cost of renting the car or one day and driving x miles is
30 + 0.13x
Plan B: 50 dollars per day with free unlimited mileage. It means that the cost of renting the car or one day and driving x miles is 50
In order to save money for a 1 day rental with plan B, the number of miles would be
50 < 30 + 0.13x
50 - 30 < 0.13x
20 < 0.13x
0.13x > 20
x > 20/0.13
x > 153.84 miles
Answer:the number of adults that attended the show is 248
the number of students that attended the show is 54
Step-by-step explanation:
Let x represent the number of adults that attended the show.
Let y represent the number of students that attended the show.
Total number of tickets that were sold is 302. This means that
x + y = 302
Tickets to the fashion show were $2.50 for adults and $1 for students. The receipts for all the tickets were $674. This means that
2.5x + y = 674 - - - - - - - - - 1
Substituting x = 302 - y into equation 1, it becomes
2.5(302 - y) + y = 674
755 - 2.5y + y = 674
- 2.5y + y = 674 - 755
- 1.5y = - 81
y = - 81/- 1.5
y = 54
Substituting y = 54 into x = 302 - y, it becomes
x = 302 - 54 = 248
The number of orders in is equal to the number of orders out in month 4 (April). It appears the solution represents the time at which warehouse shipments caught up with order quantities.
_____
For this table to make any sense, we have to assume that the year started with 3 orders in January, and that one order was shipped in January. Then the number of orders was 1 or 2 each month after that, and the number of orders shipped per month was 2 each month after that. That is, the tables represent year-to-date totals of orders in and out.
<em>Alternate Interpretation</em>
If the numbers here are actual orders in and out in each of the listed months, it appears the warehouse is getting better at shipping orders. That is, they are increasing the shipment rate by 2 orders a month each month. They will eventually ship enough to cover the total number of orders in (total of 20 by April), but total shipments through April only amount to 16 orders.
Answer: 40, 48 and 56
Step-by-step explanation:
8 x 4 = 32
8 x 5 = 40
8 x 6 = 48
8 x 7 = 56
