Dylan works out and burns 10 calories per minute swimming and 7 calories per minute biking. He wants to burn a minimum of 600 calories. Due to daylight limitations, the time Dylan spends swimming must be no less than twice the time he spends biking. Given that x is the number of minutes spent swimming and y is the number of minutes spent biking, determine which inequalities represent the constraints for this situation. x ≤ 2y 10x + 7y ≥ 600 2x < y 7x + 10y > 600 2x ≥ y 7x + 10y ≤ 600 10x + 7y > 600 x ≥ 2y Which combinations of minutes spent swimming and minutes spent biking satisfy this system of inequalities? Select all that apply. (44,25) (46,20) (37,19) (52,12)

step-by-step explanation: so we look at the formula un = a + (n-1)d

un is the amount of seats

n is the nth term aka row number

a is the original sequence/row number

d is the difference between each term

so in this a=22 d=6 and n can remain as n because we are simply formjng a rule

lets put these in the equation

un=22+(n-1)(6)

this is your answer to part a

however

lets double check that this is correct, we'll try putting it into the second term

un=a+(n-1)d

u2=22+(2-1)(6)

u2=22+6

u2=28

as the question said the second row has 28 seats so now we know the formula we made is correct.

as for part b

un=a+(n-1)

its asking us to find a row with 100 seats.

remember un was the amount of seata so all we do is substitute this in.

un=100 a=22 d=6

un=a+(n-1)d

100=22+(n-1)(6)

so now we simplify to find n which is the row number.

100-22=22+(n-1)(6)-22

78=(n-1)(6)

78/6=(n-1)(6)/6

13=n-1

13+1=n-1+1

14=n

so now we know that in the 14th row there is 100 seats.

hope this and that you understood! its my first time using the app or anyone out on here : p its also me to revise so a bunch! ask more questions if you dont understand ☺

ljn

step-by-step explanation: