Answer:
Hence 262 adults and 88chidren are in the audience
Step-by-step explanation:
Let the number adults be x
Let the number of children be y
If there are 350seats in the theatre then;
x+y =350 .... 1
Also if $10.50was charged for adults and $7.50 for children with total amount of $3411, then;
10.50x + 7.50 y = 3411..... 2
Solve simultaneously
From 1, x = 350-y
Substitute into 2:
10.50(350-y) +7.50y = 3411
3675-10.5y+7.50y = 3412
3675-3y = 3411
-3y = 3411-3675
-3y = -264
y = 264/3
y = 88
From 3: x = 350-y
x = 350-88
x = 262
Hence 262 adults and 88chidren are in the audience
Answer:
see the explanation
Step-by-step explanation:
we know that
g(x)=2f(x)
so
Find the value of g(x) for the corresponding value of f(x)
1) For x=-6, f(x)=2
Substitute
g(x)=2f(x)
g(x)=2(2)=4
2) For x=-2, f(x)=2
Substitute
g(x)=2f(x)
g(x)=2(2)=4
3) For x=0, f(x)=6
Substitute
g(x)=2f(x)
g(x)=2(6)=12
4) For x=1, f(x)=3
Substitute
g(x)=2f(x)
g(x)=2(3)=6
4) For x=6, f(x)=-1
Substitute
g(x)=2f(x)
g(x)=2(-1)=-2
Answer:
5 ft
Step-by-step explanation:
a square has all equal sides
Answer:
Part a) The equation for the volume of the film canister is
Part b) The radius of the film canister is
Step-by-step explanation:
<u><em>The complete question is</em></u>
A film canister in the shape of a cylinder has a height of 8 centimeters and a volume of 32π cubic centimeters.
a. Write an equation for the volume of the film canister.
b. What is the radius of the film canister?
Part a) Write an equation for the volume of the film canister
we know that
The volume of a cylinder is equal to
where
r is the radius of the circular base
h is the height of the cylinder
we have
substitute
----> equation for the volume of the film canister
Part b) What is the radius of the film canister?
we have
Simplify
Divide by 8π both sides
square root both sides
Answer:
c
Step-by-step explanation: