Answer:
8.5 h = 510 min
Step-by-step explanation:
An hour is equal to 60 minutes. Half an hour is 30 minutes.
We can break "8.5" into 8 hours and 0.5 of an hour (which is 30 minutes).
Knowing this, we can multiply 8 by 60 since each hour is 60 minutes. We then get 480. We still need to add the remaining 0.5 of an hour (30 minutes) so we add 480 + 30. We then get 510.
Therefore 8.5 hours = 510 minutes. Hope this helps!
 
        
                    
             
        
        
        
First of all, how do you buy exactly 15.5 pizzas?
what is a 0.5 pizza?
anyway
cost=cost per pizza times number of pizzas
cost per pizza=10.50
number of pizzas=15.5
cost=10.50 times 15.5
cost=162.75
total cost is $162.75
        
             
        
        
        
Answer:
x = 11 units
Step-by-step explanation:
Area of triangle = (base + base 2) * h *1/2
so (7 + x )* 7 * 1/2 = 63
63 x 2 = 126
126 / 7 = 18
18-7 = x
x = 11
Check
(7+11)* 7 * 1/2
18* 7 = 126
126 x 0.5 = 63
CORRECT!
(p.s., tell me if wrong :P)
 
        
             
        
        
        
Hello! 
For a:
How I would do this, is I would first say if all 46 animals (heads) were chickens, how many legs would there be? Each chicken has 2 legs, so 46 * 2 = 92. The total amount of legs is 96 as stated in the question, so if all of the animals were chickens, the farmer would be 4 legs short.
Now to add rabbits into the equation. Rabbits have 4 legs, and chickens have 2. You want to find the difference between the two, because as you add rabbits to the animals the farmer has, then you have to take away chickens at the same time. 4-2 = 2, so for each rabbit you replace, you add 2 legs. 
Since the farmer is 4 legs short with all chickens, then you just divide that 4 by the 2 legs you add by replacing a chicken with a rabbit.
4 / 2 = 2 rabbits
So that means there are 2 rabbits. Since there are 46 heads in total, if 2 are rabbits, that means there are 44 chickens.
So there are 44 chickens and 2 rabbits.
b)
You can follow the same steps: I'm assuming all are child tickets for now:
3.05 * 100 = $305
And now you find how much money short you are.
498.6 - 305 = 193.6
Next, you find the difference in the ticket costs.
5.25 - 3.05 = 2.20
And you divide to find the number of adult tickets.
193.6 / 2.2 = 88
Since 100 tickets were sold, and 88 adult tickets were sold, that means 12 child tickets were sold.
        
             
        
        
        
For the 51-deg angle, y is the opposite leg, and 12 is the hypotenuse.
The trig ratio that relates the opposite leg and the hypotenuse is the sine.
sin A = opp/hyp
sin 51 deg = y/12
y = 12 * sin 51 deg
y = 9.3