Select all the values that make the inequality u >_ -7 true.
-15
-8
-7.001
-6.99
-4
-12
-7.1
-7
-6.9
-2
-10
-7.01
-6.999
-6
-1
The values that make the inequality u ≥ -7 true are:
-7.001
-6.99
-4
-12
-7.1
-7
-6.9
-2
-10
-7.01
-6.999
-6
-1
A rental car company charges $35.13 per day to rent a car and $0.10 for every mile driven. Qasim wants to rent a car, knowing that:
He plans to drive 475 miles.
He has at most $160 to spend.
What is the maximum number of days that Qasim can rent the car while staying within his budget?
Let's calculate the cost of renting the car for each day and mileage driven:
Cost per day = $35.13
Cost per mile = $0.10
Miles driven = 475
To calculate the total cost, we multiply the number of days by the cost per day and add the cost of mileage driven:
Total cost = (Number of days x Cost per day) + (Miles driven x Cost per mile)
Total cost = (Number of days x $35.13) + (475 miles x $0.10)
We need to find the maximum number of days that Qasim can rent the car while staying within his budget of $160. So we can set up the following equation:
(Number of days x $35.13) + (475 miles x $0.10) ≤ $160
Let's solve this equation for the maximum number of days:
(Number of days x $35.13) + (475 miles x $0.10) ≤ $160
35.13d + 0.10(475) ≤ 160
35.13d + 47.50 ≤ 160
35.13d ≤ 112.50
d ≤ 112.50 / 35.13
d ≤ 3.202
Since the number of days must be a whole number, Qasim can rent the car for a maximum of 3 days while staying within his budget.
To determine the values that make the inequality u > -7 true, we need to identify the numbers that are greater than -7.
The values that satisfy the inequality u > -7 are:
-15
-8
-7.001
-6.99
-4
-12
-7.1
-7.01
-6
-1
The values -7, -6.9, -2, and -10 do not satisfy the inequality u > -7.