Happy paws charges $20.00 plus $3.50 per hour to keep a dog during the day. woof watchers charge
$11.00 plus $4.75 per hour. complete the equation and solve it to find for how many hours the totale
of the services is equal. use the variable h to represent the number of hours.
the equation is
hours.
the total cost of the services will be equal at

A) The number of hours for service charge of both to be equal is 7 hours 12 minutes

B) Total cost of services is $45.2

Step-by-step explanation:

Given as :

The fixed charge taken by Happy Paws = $20

The moving charge taken by Happy Paws = $3.50 per hours

The fixed charge taken by Woof Watchers = $11

The moving charge taken by Woof Watchers = $4.75 per hours

Let The number of hours for service charge of both to be equal = n hours

Let The total cost of services = $A

According to question

For service charge of both to be equal

The fixed charge taken by Happy Paws + moving charge taken by Happy Paws ×  number of hours for service charge = The fixed charge taken by Woof Watchers + moving charge taken by Woof Watchers ×  number of hours for service charge

i.e $20 + $3.50 × n = $11 + $4.75 × n

Or, $20 - $11  = $4.75 × n - $3.50 × n

Or, $9 = $1.25 × n

∴  n =

i.e n = 7.2 hours

So, The number of hours for service charge of both to be equal = n = 7 hours 12 minutes

Hence , The number of hours for service charge of both to be equal is 7 hours 12 minutes  . Answer

Again

Total cost of services =  $11 + $4.75 × n

i.e A =  $11 + $4.75 × 7.2

Or, A = $11 + $34.2

Or. A = $45.2

So, Total cost of services = A= $45.2

Hence, Total cost of services is $45.2    Answer

The system of equation is .

The total cost of the services will be equal at 7.2 hrs.

Step-by-step explanation:

Let the number of hours be represented by 'h'.

Given:

Happy Paws charges :

Fixed charge = $20.00

Per hour charge = $3.50.

Now we know that;

Total charges is equal to Fixed charge plus Per hour charge multiplied by number of hours.

framing in equation form we get;

Total charges =

Also Given:

Woof Watchers charge

Fixed charge = $11.00

Per hour charge = $4.75.

Now we know that;

Total charges is equal to Fixed charge plus Per hour charge multiplied by number of hours.

framing in equation form we get;

Total charges =

Hence the system of equation is .

We need to find the number of hours when both charges are equal.

Combining the like terms we get;

Dividing both side by 1.5 we get;

Hence The total cost of the services will be equal at 7.2 hrs.

Total charges of Happy Paws =

Total charges of Woof Watchers =

step-by-step explanation:

let's solve your equation step-by-step.

4x+2=2x+12

step 1: subtract 2x from both sides.

4x+2−2x=2x+12−2x

2x+2=12

step 2: subtract 2 from both sides.

2x+2−2=12−2

2x=10

step 3: divide both sides by 2.

2x

2

=

10

2

x=5

step-by-step explanation: