Ari is swimming a 25-meter race. after swimming 6 meters, she catches up to amanda in a ratio of 7: 3 from the 6-meter mark. at what meter mark does ari catch up to amanda? round to the nearest tenth, if necessary.

ari catches up to amanda at meters.

The position where Ari caught up with Amanda using the ratio principle is 19.3 meters

Ari's position when she catches up with Amanda :

Ari's position = (7÷10) × 19 = 13.3

Therefore, Ari caught up with Amanda at the point 13.3 meters mark

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Ari catches up to Amanda at 19.3 meters

Step-by-step explanation:

Given :

Ari is swimming a 25-meter race.

After swimming 6 meters she catches up to Amanda in a ratio of 7:3 from the 6-meter mark.

Solution :

The distance between 6 meters and 25 meters = 19 meters.

Since she catched Amanda in ratio 7:3

So, she catched her at 7/10 of the distance

So, the distance at which she catched Amanda =

                                                                               =13.3

Ari catches 13.3 metres from 6 m marks

The point on number line at which she catches her = 13.3+6

Hence Ari catches up to Amanda at 19.3 meters

the correct answer is you spend $55.78 more in a brand store that buy ing in a normal store.

step-by-step explanation:

brand = spend   $ 135.85 total

store = spend $80.07 total

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 ☺