Answer:
Step-by-step breakdown:
Let c denote the quantity of child tickets sold.
Let a denote the quantity of adult tickets sold.
On Tuesday, the zoo sold a total of 250 admission tickets. This total consists of child tickets and adult tickets, resulting in the equation:
c + a = 250 - - - - - - - - - - 1
The cost for a child's ticket is $12.75, while an adult ticket costs $18.50. The total ticket sales amounting to $4739.50 indicates that:
12.75c + 18.5a = 4739.50 - - - - - - - 2
Equations 1 and 2 form the system necessary to find the number of adult tickets, a, and child tickets, c, sold.
4 students would be present
Each one would get 5 cookies
Each would also receive 10 slices of pizza
I hope this information is useful
Response:
55 mph. All options are incorrect.
Detailed explanation:
When speed changes inversely with the time taken, it can be expressed as v ∝ 1/t, where:
v represents speed,
t refers to the time taken.
This leads to;
v = k/t, with k being a constant of proportionality.
Given that Kris takes 5 hours traveling at 55 mph, we replace v with 55 mph and t with 5 hours in the equation to find k as follows:
55 = k/5
Cross-multiplying yields:
k = 55 * 5
k = 275
To determine the speed Martin needs to drive for 5 hours, we substitute k = 275 and t = 5 back into the original equation v = k/t as follows:
v = 275/5
v = 55 mph
Thus, we conclude that in order to travel for 5 hours, Martin must also drive at 55 mph.
The insurance provider covers 80% of the $4,400 expense:
0.8*4400 = $3520
Consequently, Marge's payment amounts to 4400 - 3520 = $880
However, noting that $4400 is the total for annual group insurance, to determine her monthly payment, we divide her yearly cost by 12:
880/12 = $73.33 (rounded to two decimal places)
