Answer:
x child tickets, y adult tickets
6.40x+9.50y=1260.70
x+y=150
64x+95y=12607
x+y=150
If you solve this, you have to get x=53, y= 97.
So 53 child tickets and 97 adult tickets
Answer:
D
Step-by-step explanation:
Answer:
1). Surface area of the prism = 112 cm²
2). Area of the sphere = 615.8 cm²
Step-by-step explanation:
1). Surface area of the triangular prism = Area of the triangular bases + Area of three lateral (rectangular) sides
Area of a triangular base = ![\frac{1}{2}(\text{Base})(\text{Height})](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D%28%5Ctext%7BBase%7D%29%28%5Ctext%7BHeight%7D%29)
= ![\frac{1}{2}(3)(7)](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D%283%29%287%29)
= 10.5 cm²
Area of a rectangle = Length × width
Area of the rectangular lateral sides = (3 × 5) + (8 × 5) + (7 × 5)
= 15 + 40 + 35
= 90 cm²
Surface area of the prism = (2 × 10.5) + 90
= 21 + 90
= 112 cm²
2). Surface area of the sphere = 4πr²
= 4π(7)²
= 615.75
≈ 615.8 cm²
Answer:
D. 96
Step-by-step explanation:
Using the Multiplication Principle, we multiply the number of choices for each item together:
![8 \cdot 4 \cdot 3 = 96](https://tex.z-dn.net/?f=8%20%5Ccdot%204%20%5Ccdot%203%20%3D%2096)