Which number can each term of the equation be multiplied by to eliminate the decimals before solving?

–m + 0.02 + 2.1m = –1.45 – 4.81m

0.01
0.1
10
100

Option D: The number 100 should be multiplied with each term to eliminate the decimals before solving.

Explanation:

The given equation is

We need to determine the number that should be multiplied with each term to eliminate the decimals before solving.

Let us consider the terms which is a decimal number and determine the number that should be multiplied with them to eliminate the decimal.

Thus, from the equation, we have, 0.02, 2.1, 1.45 and 4.81

The term 0.02 consists of 2 decimal places and hence the number 100 can be multiplied with them to eliminate the decimal places.

Thus, we have,

The term 2.1 consists of 1 decimal place and hence 10 can be multiplied.

Thus, we get,

Similarly, the terms 1.45 and 4.81 consists of 2 decimal places and hence the number 100 can be multiplied with them to eliminate the decimal places.

Thus, we get,

Hence, the maximum number that can be multiplied to eliminate the decimal places is 100.

Therefore, Option D is the correct answer.

typically if you want , you would actually put questions here for us to you. but hey, that's just me. maybe someone will magically answer the questions for you without knowing what they are.

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 ☺