Answer:
James = 1 year
Austin = 5 years
Step-by-step explanation:
Let James age = x
Let Austin's age = y
James is four years younger than Austin.
x = y - 4
If three times James age is increased by the square of Austin's age, the result is 28.
3(x - 4) + y² = 28
Hence,
Note: x = y - 4
Hence,
3y - 12 + y² = 28
3y + y² - 12 - 28 = 0
y² + 3y - 40 = 0
y² + 8y - 5y - 40 = 0
y(y + 8) - 5(y + 8 ) = 0
(y + 8)(y - 5)
y = -8
y = 5 years
x = y - 4
x = 5 - 4
x = 1 years.
Answer:
7/12
Step-by-step explanation:
You first make a common denominator. You make both the denominators 12, then make one numerator 3 and another numerator 4. Now you have an easy equation; 3/12 + 4/12, which equals to 7/12
The slope is 4/3 the unit rate is 1
Answer:
0.430625 = 0.431
Step-by-step explanation:
Let W represent winning, D represent a draw and L represent a loss.
12+ points can be garnered in each of the following ways.
6W 0D 0L
5W 1D 0L
5W 0D 1L
4W 2D 0L
4W 1D 1L
4W 0D 2L
3W 3D 0L
The probability of getting 12+ points is the sum of all these 7 probabilities.
Knowing that P(W) = 0.5
P(D) = 0.1
P(L) = 0.4
P(6W 0D 0L) = [6!/(6!0!0!)] 0.5⁶ 0.1⁰ 0.4⁰ = 0.015625
P(5W 1D 0L) = [6!/(5!1!0!)] 0.5⁵ 0.1¹ 0.4⁰ = 0.01875
P(5W 0D 1L) = [6!/(5!0!1!)] 0.5⁵ 0.1⁰ 0.4¹ = 0.075
P(4W 2D 0L) = [6!/(4!2!0!)] 0.5⁴ 0.1² 0.4⁰ = 0.09375
P(4W 1D 1L) = [6!/(4!1!1!)] 0.5⁴ 0.1¹ 0.4¹ = 0.075
P(4W 0D 2L) = [6!/(4!0!2!)] 0.5⁴ 0.1⁰ 0.4² = 0.15
P(3W 3D 0L) = [6!/(3!3!0!)] 0.5³ 0.1³ 0.4⁰ = 0.0025
The probability of getting 12+ points = 0.015625 + 0.01875 + 0.075 + 0.09375 + 0.075 + 0.15 + 0.0025 = 0.430625
Since 2 movie tickets equal to $15 I am only left to assume we are adding $7.50 to every movie ticket, going by that logic
7.50x4=30
Answer: It would cost $30 for 4 movie tickets.
