Jackie exchanges 8 Kappa coins for 3 Gamma coins. Lana wants to exchange 32 Kappa coins. How many Gamma coins will she receive?
O 7
O 11
O12
O 40

12 gamma coins

Step-by-step explanation:

We can use a ratio to solve

8 kappa             32 kappa

=

3 gamma         x gamma

Using cross products

8x = 3*32

Divide each side by 8

8x/8 = 32 *3/ 8

x = 32/8 *3

x = 12 coins

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:

(0,,,0)

step-by-step explanation:

the table of x and y values is shown in the attached pic(part of question)

we have to decide according that graph

given points are (0, 0) (–1, 0), (2, 0)

when we graph these points on graph they show an increasing line as shown in the attached pic