Select all the values that make the inequality u >_ -7 true.

Question

-15
-8
-7.001
-6.99
-4
-12
-7.1
-7
-6.9
-2
-10
-7.01
-6.999
-6
-1

Answer 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

Answer 2

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?

Answer 3

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.