Happy Paws charges $19.00 plus $3.50 per hour to keep a dog during the day. Woof Watchers charges $11.00 plus $4.75 per hour. Complete the equation and solve it to find for how many hours the total cost of the services is equal. Use the variable h to represent the number of hours. help//

6.4 hours

Step-by-step explanation:

Hi, to answer this question we have to write an equation for each case:

Happy paws: the cost is equal to the fixed charge (19) plus the product of the charge per hour (3.50) and the number of hours (h).

Happy Paws Cost = 19+3.50h

Woof Watchers: the cost is equal to the fixed charge (11) plus the product of the charge per hour (4.75) and the number of hours (h).

Woof Watcher Cost = 11+ 4.75h

Since both costs must be equal:

Happy Paws Cost =Woof Watcher Cost

So:

19+3.50h = 11+ 4.75h

Solving for h:

19-11 = 4.75h-3.50h

8 = 1.25h

8/1.25 =h

h = 6.4 hours

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.