First, we must let:
x = number of tickets intended for adults
y = number of tickets intended for children.
a. Write in terms of x the number of tickets for children
Solution:
x + y = 28 ⇔ y = 28 - x (equation 1)
To answer in terms of x:
no. of tickets for tickets for children = 28 - x
b. the amount spent on tickets for adults
Solution: $30 is the cost of ticket per adult and there are x number of tickets intended for adults.
Therefore,
amount spent on ticket for adults = 30x
c. the amount spent on the tickets.
Solution:
$ 15 = cost of ticket per child
$ 30 = cost of ticket per adult
total amount spent on tickets = 30x + 15y ⇒ (equation2)
substitute equation 1 to equation 2.
(equation 1) y = 28 - x
(equation 2) total amount spent on tickets = 30x + 15y
total amount spent on tickets = 30x + 15(28-x)
total amount spent on tickets = 30x + 420 - 15x
total amount spent on tickets = 15x + 420
You just need to plug the values: you have to multiply
and
, and then divide the result by -3.
So, if
, we have 
Which means that 
And the final answer is 
Answer:
Volume of the tank = 636 ft³
Step-by-step explanation:
Formula for the volume of a cylinder is,
V = πr²h
Where r = radius of the cylinder
h = height of the cylinder
By substituting the values of radius and height of the water tank given in the question,
V = 
= 202.5π
= 202.5 × (3.14)
= 635.85 ft³
≈ 636 ft³
Therefore, volume of the cylindrical water tank is 636 ft³.
Answer:
10
Step-by-step explanation:
12-6+4
9514 1404 393
Answer:
A. 4.8 units
Step-by-step explanation:
Segment ZX can divide the figure into two right triangles. Then angle XZY is 136°/2 = 68°. The tangent relation tells you ...
Tan = Opposite/Adjacent
tan(68°) = XY/r
r = 12/tan(68°) ≈ 4.848 ≈ 4.8
The radius of the circle is about 4.8 units.