Weekday hours tripled but your budget of $220 for 26 parking hours remain the same. How many weekend hours
can you purchase now that the weekday hours have
increased?

8 weekend hours can now be purchased.

Note: The prior information required is:

You purchase 26 "parking hours" that you can use over the next month to park your food truck at the fair. Weekday hours cost $2/hour and weekend hours cost $10/hour.

Step-by-step explanation:

Initial cost of weekday hours = $2/ hour

Since the cost of the weekday hours is tripled, new cost = $2/ hour × 3 = $6/ hour

Total week hours purchased = 26 hours

Let the number of weekend hours be x; number of weekday hours will be 26 - x

Since the budget remains the same, therefore, the total cost of weekday parking hours and weekend parking hours will be equal to $220as expressed below;

(26 - x) × $6 + $10 × x = $220

$10x - $6x + $156 = $220

$4x = $(220 -156)

x = 64/4

x = 8 hours

Therefore, 8 weekend hours can now be purchased

900 degrees

step-by-step explanation:

(b) 240

step-by-step explanation:

first, we use the pythagorean formula using the given side lengths to find x. then we use x to find the side lengths. then we add the side lengths to find the perimeter.

pythagorean theorem formula:

a^2 + b^2 = c^2

(x - 20)^2 + (x - 40)^2 = x^2

x^2 - 40x + 400 + x^2 - 80x + 1600 = x^2

x^2 -120x + 2000 = 0

(x - 100)(x - 20) = 0

x - 100 = 0 or x - 20 = 0

x = 100 or x = 20

we see that the solution x = 20 must be discarded because it will give a negative side length and a side length of 0. the only valid solution is x = 100.

perimeter = sum of the lengths of the sides

perimeter = x + x - 20 + x - 40

perimeter = 3x - 60

replace x with 100.

perimeter = 3(100) - 60

perimeter = 300 - 60

perimeter = 240