Answer:
π(3 in)²(10 in) -8(4/3)(1.5 in)³
Step-by-step explanation:
The volume of a cylinder with a radius of 3 inches and a height of 10 inches is ...
V = πr²h = π(3 in)²(10 in)
The volume of 8 spheres with a radius of 1.5 inches is ...
V = 8(4/3)πr³ = 8(4/3)π(1.5 in)³
The volume occupied by the water is the volume of the cylinder not occupied by the spheres. So, it is ...
V = π(3 in)²(10 in) -8(4/3)(1.5 in)³ . . . . . . matches the 4th choice
#31
= - 8/-8
= 1
#32
= 28/7
= 4
#34 True
#35 True
#36 False
#37 False
#38 True
Answer:
x = 1000
Step-by-step explanation:
5,350 ÷ x = 5.35
To find this you should divide 5,350 by 5.35.
5,350 ÷ 5.35 = 1000
x = 1000
Assuming the garden is a rectangle, the area is equal to length times width.
So 20x = 760.
Divide both sides by 20.
x = 760/20 = 38 ft
Answer:
Adult ticket: $7
Child ticket: $2
Step-by-step explanation:
Set up a system of equations where a represents the cost of one adult ticket and c is the cost of one child ticket:
2a + 3c = 20
a + 4c = 15
Solve by elimination by multiplying the bottom equation by -2:
2a + 3c = 20
-2a -8c = -30
Add them together:
-5c = -10
c = 2
Now, we can plug in 2 as c to find the value of a:
2a + 3c = 20
2a + 3(2) = 20
2a + 6 = 20
2a = 14
a = 7
