Peter is renting two kinds of rafts for a vacation company. One type seats 3 people and the other seats 5 people. If 53 people are using the vacation
company and he rents 13 rafts, how many of each type of raft does he rent?

Peter rents 6 of the rafts seating 3 people, and 7 of the rafts seating 5 people.

Step-by-step explanation:

Let denote the number of rafts seating 3 people and the number of rafts seating 5 people. The total number of rafts is 13, so . We can also assume that every raft is filled to the brim (it isn't stated explicitly though, but it's probably the intention of the question maker), so .

It's always a good idea to put these equations under each other:

We can subtract the first equation three times from the second one to obtain

Now, substitute this found value for into and we see that . We are now done: Peter rents 6 of the rafts seating 3 people, and 7 of the rafts seating 5 people.

gmt is 4 hrs ahead of edt so just add four hours to 1: 14: 20 (minutes and seconds stay the same)

gmt is 5: 14: 20

hope this !

~just a girl in love with shawn mendes

1 number

if we use a graphing calculator, there is only one such number that satisfies the conclusion of the mean value theorem, that is, a number such that

where the right-hand side is the average rate of change of f on the interval [0.5,0.75], which is the slope of the secant line.

in the attached graph, the black line is the secant line which has its slope as the average rate of change of f on [0.5,0.75], while the orange line is the only tangent line to the graph of f in the interval that satisfies the mvt conclusion.