Ice Dream charges $4 to rent ice skates, plus $1.50 per hour to skate. Skating Paradise charges $1 to rent ice skates, plus $3 per hour to skate. Write a system of equations to represent the situation, using h for number of hours and c for cost. For how many hours is the cost for both locations equivalent? what is the cost?

Hey there!

These are slope intercept equations, because they have an initial cost and then a cost based on an independent variable, in this case, time spent skating.

Given the information, Ice Dreams equation would be c=1.5h+4 and Skating Paradise would be c=3h+1

Now, we just put them together to make the systems of equations.

c=1.5h+4

c=3h+1

Now, we need to find a point where the two will meet, which will give us our answer. We just need to solve the system.

Let's solve using elimination.We can multiply the top equation by -2 so we can use elimination.

-2c=-3h-8

c=3h+1

We combine the equations..

-c==7

c=7

Now we can plug this into one of the other equations.

7=3h+1

h=2

Now, we have our solution..

(h,c)=(2,7)

Therefore, after two hours, the cost will be the same, and the cost will be seven dollars.

I hope this helps!

answer: a video game has three difficulty levels: easy, medium, and expert. the game's scoring works in such a way that a player has to score a fixed number of points to advance to the next level, and then the scoring starts over. the total score needed to clear all three difficulty levels is 7,500. two times the number of points needed to clear the easy level is 500 more than the number of points needed to clear the medium level. twice the number of points needed to clear the medium difficulty level is 1,500 more than the number of points needed to clear the expert level. if x, y, and z represent the easy, medium, and expert levels, respectively, and a is the coefficient matrix of the system of equations modeling this situation, identify the inverse matrix, a-1, and the solution matrix, x, of the system of equations.

ask for details followreport by buttfacelily 2 minutes ago

answers

rauschg

rauschg · hand

know the answer? add it here!

step-by-step explanation:

answer:   35 % is the probability of a late departure or an early arrival.

step-by-step explanation:

let l represents the late departure and e represents the early departure.

then, according to the question,

p(l) = 12 %,   p(e) = 27 % and = 4 %

and, we have to find out,

but, we know that,

which is the required equation that will use to find the probability of a late departure or an early departure.

therefore,   the probability of a late departure or an early arrival =   35 %