Sam rode his bike 2/5 of
a mile and walked
another 3/4 of a mile.
how far did he travel?

1.15

Step-by-step explanation:

Looking at the two numbers, we see that the smallest number that both 5 and 4 go into evenly is 20, so our smallest common denominator is 20 and we want to work toward converting our two numbers into twentieths.

Multiply 2/5 x 4/4 = 8/20. 2x4=8 and 5x4=20 (we choose 4/4 because it is equal to 1, and gives us 20 in the denominator.) Any number times one is itself.

Multiply 3/4 x 5/5 = 15/20 (same reasoning for choosing 5/5 as above.)

Now that both numbers are expressed in twentieths, you can add the numerators: 8+15 = 23. So the answer can be reduced to 1 and 3/20. Which, if you break our your calculator and divide 23 by 20, you will find is OH's 1.15

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: