If 5 years ago nina was twice as old as sam, how soon from now will she be 1.5 times as old as sam? if x is sam's age 5 years ago, give your answer in terms of x.

In x - 5 years.

Step-by-step explanation:

5 years ago:

Sam's age: x

Nina's age: 2x

Now:

Sam's age: x + 5

Nina's age: 2x + 5

Let t be the number of years from now that Nina will be 1.5 times Sam's age.

In t years:

Sam's age: x + t + 5

Nina's age: 2x + t + 5

Nina will be 1.5 times Sam's age:

2x + t + 5 = 1.5(x + t + 5)

2x + t + 5 = (3/2)(x + t + 5)

2(2x + t + 5) = 3(x + t + 5)

4x + 2t + 10 = 3x + 3t + 15

4x + 10 = 3x + t + 15

x - 5 = t

t = x - 5

answer: the answer is 30 miles per hour.

ft/s -> mphmph = ft/s 1.466667mph = 44 divided by 1.466667mph = 30.00000

- r3ktforgood ☕

one way is to plot 2 points and connect them which is what the answer choices seem to be doing

it seems to be using the y intercept and the slope

y=mx+b, m=slope, b=y-intercept (where the line hits the y axis)

slope=rise/run

y-intercept is where the line croses the y axis which is the y value where x=0

you seem to have given the wrong slope (you didn't put a number in front of te x, it should be 2/3 or 3/2 looking at the answer options)

y=? x-1

m=? because of your fault

b=-1

so it has a slope of ? and y intercept of -1, meaning it pases through (0,-1)

so draw point (0,-1) (so answer is one of the first 2 option)

if slope is 2/3, then go up 2 and right 3 then draw line through those 2 points

if slope is 3/2, then go up 3 and right 2 then draw line through those 2 points