Answer:
Part 1) see the procedure
Part 2) 
Part 3) 
Part 4) The minimum number of months, that he needs to keep the website for site A to be less expensive than site B is 10 months
Step-by-step explanation:
Part 1) Define a variable for the situation.
Let
x ------> the number of months
y ----> the total cost monthly for website hosting
Part 2) Write an inequality that represents the situation.
we know that
Site A

Site B

The inequality that represent this situation is

Part 3) Solve the inequality to find out how many months he needs to keep the website for Site A to be less expensive than Site B

Subtract 4.95x both sides


Divide by 5 both sides


Rewrite

Part 4) describe how many months he needs to keep the website for Site A to be less expensive than Site B.
The minimum number of months, that he needs to keep the website for site A to be less expensive than site B is 10 months
Let
A = event that the student is on the honor roll
B = event that the student has a part-time job
C = event that the student is on the honor roll and has a part-time job
We are given
P(A) = 0.40
P(B) = 0.60
P(C) = 0.22
note: P(C) = P(A and B)
We want to find out P(A|B) which is "the probability of getting event A given that we know event B is true". This is a conditional probability
P(A|B) = [P(A and B)]/P(B)
P(A|B) = P(C)/P(B)
P(A|B) = 0.22/0.6
P(A|B) = 0.3667 which is approximate
Convert this to a percentage to get roughly 36.67% and this rounds to 37%
Final Answer: 37%
Answer:
1) 506.85 minutes
2) 17.33 minutes
3) 23.25 hours
Step-by-step explanation:
1) 16 minutes and 21 seconds

16 minutes and 21 seconds=16.35 minutes
Multiply by 31

2) 537 minutes 20 seconds

537 minutes 20 seconds=537.33 minutes
Divide by 31

3) 999 hours 45 minutes

999 hours 45 minutes=999.75 hours

Olivia sold 14 magazines.
Step-by-step explanation:
Total magazines sold = 138
Let,
Magazines sold by Olivia = x
Magazines sold by Quincy = y
Magazines sold by Trenton = z
According to given statements;
x+y+z=138 Eqn 1
Quincy sold three times as many magazines as Olivia.
y = 3x Eqn 2
Trenton sold two less than twice the number of magazines that Quincy sold.
z = 2y-2 Eqn 3
Putting value of y from Eqn 2;

Putting value of y from Eqn 2 and value of z from Eqn 3 in Eqn 1

Dividing both sides by 10

Olivia sold 14 magazines.
Keywords: linear equations, division
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