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ight now, ivy is half as old as her sister, rose. in six years, ivy will be two-thirds as old as rose. how old are the sisters right now? write a linear equation (hopefully in one variable) that could be used to solve this problem. (2pts) define your variable(s). (1pt) solve the equation for the variable that you have chosen. you need not show your work. (1pt) respond to the question. (1pt)

Ivy is 6 years old and Rose is 12 years old.

Step-by-step explanation:

To solve this problem, two variables are necessary since we have two unknown variables: Ivy's age and Rose's age.

Ivy's age will be

and Rose's age will be

"Ivy is half as old as her sister":

this will be our fist equation.

"In six years, Ivy will be two-thirds as old as Rose"

in six years Ivy will have years, and Rose will have years, so for this sentence we have the equation:

this will be our second equation.

Substituting the value of x from the first equation into the second, and solving for y(Rose):

Rose is 12 years old.

and Ivy (using the fist equation):

Ivy is 6 years old.

part 1 answer = 8

part 2 answer = 72

step-by-step explanation:

part 1 explanation = add all of the numbers, then divide by how many numbers you have. so, 200/25 = 8.

part 2 explanation = not gonna lie, this is hard to explain, so just google how to do it.

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.