At first, the ratio of dave's savings to sam's savings was 5: 4. after each of them donated $40 to charity, the ratio of dave's savings to sam's savings became 13: 10. what was dave's savings at first?

Let the initial savings at first be = x

Given ratio is and after donating $40 to charity, the ratio becomes

Hence, the relation becomes:

=

or

So , Dave's saving at first was 5x = 5*60 = $300

and Sam's saving at first was 4x = 4*60= $240

(x, y)→(x − 8, y − 7)

step-by-step explanation:

enjoy!

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: