Answer:
Adult=1,385.71
Children=814.29
Approximately
Adult=1386
Children=814
Step-by-step explanation:
c= number of children
a= number of adults
Admission fee for children=$4.50
Admission fee for adults=$8.00
Total attendees=2200
Total amount realized=$5050
We need two equations to solve the two unknowns
c + a=2200 (1)
4.50c + 8.00a=5,050 (2)
From (1)
c + a=2200
c=2200 - a
Substitute c=2200 - a into (2)
4.50c + 8.00a=5,050
4.50(2200 - a) + 8.00a=5050
9900 - 4.50a +8.00a=5050
Collect like terms
9900-5050= -4.50a+8.00a
4,850=3.5a
Divide both sides by 3.5
1,385.71=a
Substitute a=1,385,71 into (1)
c + a=2200
c+1385.71=2200
c=2200-1385.71
=814.29
c=814.29
Answer:
39 points.
Step-by-step explanation:
Correct questions: 22*2=44
Blank questions: 7*0=0
Incorrect questions: -1*5=-5
Add all the points up and you get:
44+0-5=
44-5=
39 points
It's b, because the function is decreasing (a<0).
Answer:
Step-by-step explanation:
Let x represent the time that they spent biking at the first speed.
If the ride was six hours long, it means that the time they spent biking at the other speed is (6 - x) hours.
Distance = speed × time
For the first part of the ride, they biked at a speed of 7 mph. This means that the distance travelled during the first part of the ride is
7 × x = 7x
For part of the ride, they biked at a speed of 11 mph. This means that the distance travelled during the second part of the ride is
11(6 - x)
Since the total distance that the kids traveled is 54 miles, then
11(6 - x) + 7x = 54
66 - 11x + 7x = 54
11x - 7x = 66 - 54
4x = 12
x = 12/4 = 3
They spent 3 hours biking at the first speed.
They spent 6 - 3 = 3 hours biking at the other speed.