What goes on the lines I don’t understand the problem

Step-by-step explanation:

a). Let the number of spoons = x

And number of forks = y

Total number of spoons and forks bought by Perry = 10

x + y = 10 --------(1)

Cost of one spoon = $5

Cost of one fork = $3

Therefore, total cost of x spoons and y forks = $(5x + 3y)

5x + 3y = 42 -------(2)

b). Now we can convert these equations into the slope-intercept form.

x + y = 10 ⇒ y = -x + 10

Table for input output values,

x        2         4          6          

y        8         6          4                

5x + 3y = 42

3y = -5x + 42

y =

x        0           3          6        

y       14           9          4                  

Point of intersection of these lines will be (6, 4).

answer: given that the roller coaster can accommodate 1600 riders per hour, thus the roller coaster can accomodate 1600 / 60 = 26.67 riders per minute.

given that there are 345 people in the line, the number of minutes it will take for the 345 persons to get into the roller coaster is given by 345 / 26.67 = 12.94 minutes.

therefore, it will take you 12.94 minutes to get to the front of the line.

step-by-step explanation:

a) one student is chosen from classroom a, then a student is chosen from classroom b.  

step-by-step explanation:

independent events are ones in which the probability of one event does not affect the probability of the second event.

one student is chosen from classroom a; this does not affect the chances of choosing a student from classroom b.   this makes these independent events.

when one card is chosen from a standard deck and then set aside before a second card is chosen, the probability of the second card being chosen changes.   this makes them dependent events.

when one student is chosen from classroom a and then a second student is chosen from classroom a, the probability of choosing the second student changes.   this makes them dependent events.

when a letter is chosen from the alphabet and then a second letter is chosen, the probability of choosing the second letter changes.   this makes them dependent events.