Which values of a, b, and c correctly represent the answer in simplest form? 4 1/2 divided by 1 1/4 = a b/c

3 3/5

Step-by-step explanation:

Step 1: Put fractions in improper form

9/2 divided 5/4 = a b/c

Step 2: KCF (Divide)

9/2(4/5) = a b/c

36/10 = a b/c

Step 3: Covert to proper fraction

3 3/5

So a = 3, b = 3, and c = 5

a = 3, b = 3, c = 5

Step-by-step explanation:

4 1/2 ÷ 1 1/4

The first step would be to convert the mixed fractions into improper fractions.

9/2 ÷ 5/4

The second step would be to perform th reciprocal of the second fraction, the problem turns from division to multiplication.

9/2 × 4/5

The third step would be to multiply the fractions.

36/10

The fourth step would be to convert the improper fraction to a mixed fraction.

3 6/10

3 3/5

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:

a) y = -3x +2

b) y = 1/2x -6

these 2 can be combined into one equation.

-3x +2 = .5x -6

8 = 3.5x

x = 8 / 3.5 = 2.2857142857

y = -3 * (8 / 3.5) +2

y = (-24 / 3.5) + 2

y = -4.8571428571

step-by-step explanation: