the ages of hari and harry are in the ratio 5:7 four years from now the ratio of their ages will be 3:4. find their present ages

x = 20

y = 28

Step-by-step explanation:

hari's age: x

harry's age: y

7x = 5y

4(x+4) = 3(y+4)

4x+16 = 3y+12

4x+4 = 3y

5/3(4x+4) = 5y = 7x

20/3x +20/3 = 7x

20/3 = 1/3x

x = 20

y = 28

75 tickets have been sold so far.

step-by-step explanation:

in this question it is clearly mentioned that 45 children's tickets have been sold and this number is 60% of the total tickets sold.

now let's assume the total number of tickets sold be x.

then 60% of x = 45

⇒

⇒ x(.6) = 45

by dividing with .6 on both the sides of the equation

⇒ x = 75

therefore 75 tickets have been sold so far.

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: