Angie an kenny play online video games. angie buys 1 software package and 3 months of game play. kenny buys 1 software package and 2 months of game play. each software package cost $20. if their total cost is $115, what is the cost of one month of game play

One month of gameplay costs $15

Step-by-step explanation:

Angie: 20 + 3x

Kenny: 20 + 2x

(20 + 3x) + (20 + 2x) = 115 --- add their costs together

(20 + 20) + (3x + 2x) = 115 --- collect like terms

40 + 5x = 115 --- simplify

5x = 75 --- subtract 40 from both sides

x = 15 --- divide both sides by 5

for this pair of functions g(x)=x-2 and f(x)=|x| is (g o f)(a)= |a| -2

step-by-step explanation:

g(x)=x-2

f(x)=|x|

(g o f)(a)=?

(g o f)(x)=g(f(x))

(g o f)(x)=g(|x|)

(g o f)(x)=|x|-2

(g o f)(a)=|a|-2

hello,

b) 62.47% of the students are between 14 and 18 years old.

step-by-step explanation:

mean = 15 and standard deviation = 2

student between 14 to 18

formula used z-score

for age 14 , z score

using z-table , p(z> -0.5)=0.3085

for age 18 , z score

using z-table , p(z< 1.5)=0.9332

p(-0.5< z< 1.5)=0.9332-0.3085 = 0.6247

thus, 62.47% of the students are between 14 and 18 years old.

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step-by-step explanation: