Amother who is 40 years old has a daughter and a son. the son is twice as old as the daugther. in 15 years the sum of all their ages will be 100 years. how old are the siblings now?

The son's age is 10 and the daughter's age is 5 now

Step-by-step explanation:

Let

x> the son's age now

y> the daughter's age now

we know that

x=2y > equation A

(x+15)+(y+15)+(40+15)=100

x+y+85=100

x+y=15 > equation B

Substitute equation A in equation B and solve for y

2y+y=15

3y=15

y=5 years

Find the value of x

x=2(5)=10 years

therefore

The son's age is 10.

The daughter's age is 5

x=30

step-by-step explanation:

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: