The closest estimate is 108.
The volume of a triangular prism is found using the formula
V = 1/2*b*h*H, where b is the base of the triangle, h is the height of the triangle, and H is the height of the prism. With our information we have:
V=1/2(12.6)(1.6)(10.75) = 108.36.
Answer:
A
Step-by-step explanation:
Answer: Children tickets cost 7.50
Adult tickets cost 12.50
Step-by-step explanation:
Let a represent adult tickets
Let c represent child tickets
On the first day she sells 6 adult tickets and 5 children tickets for total of 112.50. This can be written as:
6a + 5c = 112.50 ...... equation i
On the second day she sells 8 adult tickets and 4 children tickets for the total 130. This can be written as:
8a + 4c = 130 ....... equation ii
6a + 5c = 112.50 ...... equation i
8a + 4c = 130 ....... equation ii
Multiply equation i by 4
Multiply equation ii by 5
24a + 20c = 450 ........ equation iii
40a + 20c = 650 ......... equation iv
Subtract iii from iv
16a = 200
a = 200/16
a = 12.50
Adult tickets cost 12.50
From equation ii,
8a + 4c = 130
8(12.50) + 4c = 130
100 + 4c = 130
4c = 130 - 100
4c = 30
c = 30/4
c = 7.50
Children tickets cost 7.50
Answer:
a) Rumble: $1
Pedal: $0.6
b) more than 5 songs
c) No, should be integers only
d) No, has to be integers greater than or equal to 2
Step-by-step explanation:
Part a
Rate per song is the slope.
Rumble:
Slope is 0.6
Rate is $0.6 per song
Pedal:
Slope: (4-2)/(2-0) = 1
Rate is $1 per song
Part b
Pedal would be a better deal if it's cost is lower than Rumble's
Rumble's cost: C = 2 + S
Pedal's cost: C = 4 + 0.6S
4 + 0.6S < 2 + S
0.4S > 2
S > 5
c) No, because no. of songs has to be positive integers only.
For example graph shows S = 2.5, but we know that's not possible
d) No, since the cost is 2 + S,
cost can't be in decimals either.
Cost too should be only integers greater than equal to 2
