25 tickets must be purchased in order for the total cost at carnival M and carnival P to be the same .
<u>Step-by-step explanation:</u>
Here we have , Carnival M charges an entrance fee of $5.00 and $0.65 per ticket for the rides. Carnival P charges an entrance fee of $10.00 and $0.45 per ticket to ride. We need to find How many tickets must be purchased in order for the total cost at carnival M and carnival P to be the same .Let's find out:
Let , Number of tickets for both carnival be x So ,
Carnival M charges an entrance fee of $5.00 and $0.65 per ticket for the rides
Equation of cost :
⇒ 
Carnival P charges an entrance fee of $10.00 and $0.45 per ticket to ride
Equation of cost :
⇒ 
Now , Number of tickets for which cost is equal is:
⇒ 
⇒ 
⇒ 
⇒ 
⇒ 
⇒ 
Therefore , 25 tickets must be purchased in order for the total cost at carnival M and carnival P to be the same .
There are 24 hours in a day so it would be 21 x 24 which is
504 so your answer is The Turtle can walk 504 miles a day at a rate of 21m/hr.
Answer:
6.69 to the nearest hundredth
Step-by-step explanation:
Use the law of sines
Let x = PQ

x sin 72 = 12 sin 32

x = 6.69 to the nearest hundredth