Answer:
2388.16 in³
Step-by-step explanation:
1) find volume of cylinder
formula: πr²h
given:
π = 3.14
r = 8/2 = 4 in
h = 9 in




2) find volume of cuboid
formula: length × width × height
given:
length = 16 in
width = 11 in
height = 11 in



total volume of figure
= volume of cylinder + volume of cuboid
= 452.16 in³ + 1936 in³
= 2388.16 in³
Answer:
V = 36 pi cm^3
Step-by-step explanation:
The volume of a sphere is given by
V = 4/3 pi r^3 where 4 is the radius
V = 4/3 pi(3)^3
V = 36 pi cm^3
Michael bought 7 pizzas from Pizza by Alfredo and 9 pizzas from Alfredo's Pizza Cafe.
Step-by-step explanation:
Cost of Pizza at Pizza by Alfredo = $3
Cost of pizza at Alfredo's pizza cafe = $5
Total amount spent = $66
Let,
Pizzas bought from Pizza by Alfredo = x
Pizzas bought from Alfredo's Pizza Cafe = y
According to given statement;
3x+5y=66 Eqn 1
5y = 3x+24 Eqn 2
Putting value of 5y from Eqn 2 in Eqn 1;

Dividing both sides by 6

Putting x=7 in Eqn 2

Dividing both sides by 5

Michael bought 7 pizzas from Pizza by Alfredo and 9 pizzas from Alfredo's Pizza Cafe.
Keywords: linear equation, substitution method
Learn more about substitution method at:
#LearnwithBrainly
Answer:
x=1, y=8
Step-by-step explanation:
Plug y=8x into y=10x-4.
8x=10x-4
Subtract 10x from each side.
-2x=-2
Divide each side by -2.
x=1
Plug x=1 into y=8x.
y=8(1)
y=8