Answer:
mommymommymoomamayeahyeah
9514 1404 393
Answer:
- 80
- 40
- 10 to 20, inclusive
Step-by-step explanation:
1. The various goals can be met without filling the theater. This fact means there is a range of possibilities for each of the answers. However, we take the wording, "because of the demand for tickets ..." to mean demand is high and the theater will be sold out.
Since two children's tickets will be sold for each adult ticket sold, the number of children's tickets is 2/3 of the total.
children's tickets = 2/3 × 120 = 80
__
2. The remaining 40 tickets will be adult tickets.
40 adult tickets will be sold.
__
3. The total revenue must be at least $1800. If we allow 'd' tickets to be sold at a discount, then we can find the limits on d using the inequality ...
24(40-d) +24(0.75)d +12(80) ≥ 1800 . . . . revenue from ticket sales
-6d ≥ -120 . . . . . . . . . . . . . . . . . . . collect terms, subtract 1920
d ≤ 20 . . . . . . . . . . divide by -6
At least 10 and at most 20 adult tickets can be sold with a discount.
("At least 10" comes from the problem requirements.)
Hi there!
We can use the Pythagorean Theorem to solve:
Use the formula a² + b² = c² where:
"a" and "b" are the legs
"c" = Hypotenuse
The diagonal side, or the length of the ladder is 10cm, and one of the legs of the triangle is 8cm, therefore:
(8)² + b² = 10²
64 + b² = 100
Subtract 64 from both sides:
b² = 36
Take the square root of both sides:
√b² = √36
b = 6 cm. This is the distance of the wall from the foot of the letter.
Edit: Typo.
Simplifying
1.5d + 3.25 = 1 + 2.25d
Reorder the terms:
3.25 + 1.5d = 1 + 2.25d
Solving
3.25 + 1.5d = 1 + 2.25d
Solving for variable 'd'.
Move all terms containing d to the left, all other terms to the right.
Add '-2.25d' to each side of the equation.
3.25 + 1.5d + -2.25d = 1 + 2.25d + -2.25d
Combine like terms: 1.5d + -2.25d = -0.75d
3.25 + -0.75d = 1 + 2.25d + -2.25d
Combine like terms: 2.25d + -2.25d = 0.00
3.25 + -0.75d = 1 + 0.00
3.25 + -0.75d = 1
Add '-3.25' to each side of the equation.
3.25 + -3.25 + -0.75d = 1 + -3.25
Combine like terms: 3.25 + -3.25 = 0.00
0.00 + -0.75d = 1 + -3.25
-0.75d = 1 + -3.25
Combine like terms: 1 + -3.25 = -2.25
-0.75d = -2.25
Divide each side by '-0.75'.
d = 3
Simplifying
d = 3
256 -> 4 ->
2 &
2 -> 64 -> 8 & 8
8 -> 4 &
24 ->
2 &
28 -> 4 &
24 ->
2 &
2(I hope this format makes sense) So you are left with 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 or
. I hope this helps!
