In a 3-digit number, the hundreds digit is four more than the units digit, and the tens digit is three less than the sum of the other two digits. If the sum of all three digits in the number is 17, find the three digits. Then find the number.

773

Step-by-step explanation:

Hello,

Let's note the digit a,b and c so that the number we are looking for is a*100+ b*10 + c

a = c + 4

b = (a + c) - 3

a + b + c = 17

I replace a and b in the last equation

c + 4 + (c+4 +c) - 3 + c = 17

c + 4 + c + 4 + c -3 + c = 17

4c + 5 = 17

4c = 17 -5 = 12

c = 12/4 =3

Then, a = 3 + 4 = 7

b = (7+3)-3=7

And the winner is

773

b: |12 – x| ≤ 0.25

step-by-step explanation:      

let x be the possible lengths in inches, of the ribbons jaime cut.

we have been given that jaime is cutting strips of ribbon for a project. he tries to cut each piece to be 12 inches long, but sometimes he cuts it too long or too short by as much as 0.25 inch.  

we can represent this information in an inequality as:

by the definition of absolute value function we will get,

upon combining our inequalities we will get,

therefore, the inequality   describes all the possible lengths (x), in inches, of the ribbons jaime cut.

step-by-step explanation: