Last week, burton paid $36.80 for 11 1/2 gallons of gas this week he bought 9 1/4 gallons of gas. the cost per gallon of gas increased by 5% between last week and this week. how much did burton pay for the 9 1/4 gallons of gas this week

Step-by-step explanation:

Last week, burton paid $36.80 for 11 1/2 gallons of gas. Converting 11 1/2 gallons of gas to decimal, it becomes 11.5. The rate at which Burton bought one gallon of gas last week would be

36.80/11.5 = $3.2

The cost per gallon of gas increased by 5% between last week and this week. The amount by which it increased would be

5/100 × 3.2 = 0.05 × 3.2 = $0.16

The cost of one gallon of gas for this week would be

3.2 + 0.16 = $3.36

She bought 9 1/4 gallons of gas this week. Converting 9 1/4 gallons of gas to decimal, it becomes 9.25 gallons of gas. The amount that she paid for gas this week would be

9.25 × 3.36 = $31.08

x = 25/2304

step-by-step explanation:

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 ☺