Six times a larger number is equal to the sum of a smaller number and 18. the difference of twice the larger number and the
smaller number is 6. let x represent the smaller number and y represent the larger number. which equations represent the
situation?
y = 6x+18
y = 2x-6
o y = 6(x+18)
y = 2(x-6)
oy-ax+3
y-1x+6

The set of equations that represent this situation is:

Solution:

Let "x" represent the smaller number

Let "y" represent the larger number

Given that,

Six times a larger number is equal to the sum of a smaller number and 18

Here "times" represents multiplication

Six times a larger number = sum of a smaller number and 18

6 x larger number = smaller number + 18

6y = x + 18

Thus,

Also given that difference of twice the larger number and the  smaller number is 6

twice the larger number - smaller number = 6

2y - x = 6

Thus,

2y = x + 6

Thus the set of equations that represent this situation is:

the largest number of the four options is 1.8 x 10-2

you have it in scientific notation.

1.80 x 10-6   = 0.00000180

1.80 x 10-4   = 0.000180 (bigger, or "less small", than the former one)

so

1.8 x 10-2       = 0.0180. as you see. the "less small", or the biggest one of them all.

as you have negative exponent, it means you are dividing 1.8 by 100 (i.e. moving the dot towards left, two times).

if you had positive exponent for the scientific notation, power of tenths, you would be multiplying times 100 (moving the dot towards right) as below:

1.8 x (10)2 = 180

so. if you have negative exponent in scientific notation, move the dot toward left. if it is positive, toward right as many times the exponent tells you.