Compute: (1 2/5 +3.5÷1 1/4 )÷2 2/5 +3.4÷2 1 /8 −0.35

3

Step-by-step explanation:

Use BODMAS

Step 1: Open bracket (1 2/5 +3.5÷1 1/4 )

Convert mixed fractions into improper fractions

7/5 + 3.5 ÷ 5/4

Divide 3.5 by 5/4

7/5 + 2.8 = 4.2

Step 2: Carry out all divisions

Convert mixed fraction into improper fractions

4.2 ÷2 2/5 +3.4÷2 1 /8 −0.35

4.2 ÷ 12/5 + 3.4 ÷ 17/8 - 0.35

1.75 + 1.6 - 0.35

Step 3: Solve

1.75 + 1.6 - 0.35

3.35 - 0.35

Answer = 3

are you an artist's daughter? cuz dang you a fine piece of art, girl.

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 ☺