The difference between a number and 21 1/2 is no more than 14 1/4

Hello!

ni this problem i consider that the notation 21 1/2 is equivalent to 21 + 1/2 = 21.5

our phrase is:

"The difference between a number and 21 1/2 is no more than 14 1/4"

we can break it into two parts to make it easier.

"The difference between a number and 21 1/2"

this is a subtraction, here you are subtracting 21 1/2 to a number, let's call this number x, then we can write this as:

x - 21 + 1/2

or x - 21.5

the second part says: "is no more than 14 1/4"

then the thing that we got before, is less or equal than 14 1/4 (or 14.25), this is

x - 21.5 ≤ 14.25

now you can add the same number in both sides of the inequality and it remains the same, then you can add 21.5 to both sides and:

x - 21.5 + 21.5 ≤ 14.25 + 21.5

x ≤ 35.75

answer: 26

step-by-step explanation:

well, michelle wanted to measure the height of her school's flagpole she placed a mirror on the ground 48 feet from the flagpole then walk backwards until she was able to see the top of the pole in the mirror her eyes were 5 feet above the ground and she was 12 ft from the mirror using similar triangles find the height of the flagpole to the nearest tenth of a foot find the geometric mean of them pair of numbers. its easy math

the inequality is:

250c+180g≥950

step-by-step explanation:

let c denotes the number of days in a week   miyoko worked as a cryptographer.

and g denotes the number of days in a week she works as a geologist.

now we are given that she earns $250 for every day she works as a cryptographer,and earns $180 for every day she works as a geologist.

now miyoko's goal is to earn more than $950 this week.

hence, the inequality could be represented as:

250c+180g≥950