What is the distance between these two numbers on a number line : 6,4 1/4

To get the distance between

and , we subtract from

That is,

We change the mixed number to improper fraction now to get,

This is the same as,

We collect LCM to be 4

This gives us,

Convert back to mixed number to get,

Therefore the distance between the two numbers is

Note that the other way round will result in negative value. That is subtracting 6 from will give

But since this is distance we find the absolute value and get the same result.

x ≥ 18 is your answer

step-by-step explanation:

let "a number" = x

(2/3)x + 17 ≥ 29

isolate the variable (x). do the opposite of pemdas (parenthesis, exponent (& root), multiplication, division, addition, subtraction).

first, subtract 17 from both sides.

(2/3)x + 17 (-17) ≥ 29 (-17)

(2/3)x ≥ 29 - 17

(2/3)x ≥ 12

next, multiply 3/2 to both sides to isolate the x

(3/2)(2/3)x ≥ 12(3/2)

x ≥ 12(3/2)

simplify. multiply, then divide

x ≥ (12 * 3)/2

x ≥ (36)/2

x ≥ 18

x ≥ 18 is your answer

~

answer: b

step-by-step explanation: