Answer:
See explanation
Step-by-step explanation:
Let 
be the number of students and 
be the number of adults on the show.
1. Tickets cost $15 for students, so x student tickets cost $15x.
Tickets cost $25 for adults, so y adult tickets cost $25y.
Total cost of all tickets is $(15x + 25y).
The charity show is conducted in order to raise at least $3,750, thus
2. The auditorium can accommodate up to 180 spectators, hence
3. We get the system of inequalities:
Plot all solutions sets to each inequality and the common region is the solution set to the system of inequalities. This region is not empty, so the charity will reach its goal. For example, if they sell 50 students tickets and 125 adult tickets, they will raise 
Answer:
17900
Step-by-step explanation:
First term a = -19
common difference d = -15-(-19) = 4
number of terms, n = 100
sum of first 100 terms,
n/2(2a+(n-1)d)
= 100/2(2×(-19)+(100-1)4)
= 50×(-38+99×4)
= 50×358
= 17900
Answer:
Yes because the answer to both of them is 1
Step-by-step explanation:
Let's solve your equation step-by-step.
−2x+9=7
Step 1: Subtract 9 from both sides.
−2x+9−9=7−9
−2x=−2
Step 2: Divide both sides by -2.
−2x
−2
=
−2
−2
x=1
Answer:
x=1
Let's solve your equation step-by-step.
2x=2
Step 1: Divide both sides by 2.
2x
2
=
2
2
x=1
Answer:
x=1
Answer:
Step-by-step explanation:
The can in this problem has a cylindrical shape. The volume of a cylinder can be calculated with the following formula:
where
r is the radius of the base of the cylinder
h is the height of the cylinder
In this problem we have:
h = 96 mm is the height of the can
d = 66 mm is the diameter of the can
So the radius of its base is
And therefore, the volume of the can is:
Answer:
d
Step-by-step explanation:
