Chris purchased 15 1/2 pounds of apples. He used 2 1/3 pounds to make turnovers and 4 3/4 pounds to make apple pies. How many pounds does he have left
he have left?

Chris has approximately pounds of apples left.

Step-by-step explanation:

We first want to find out how many pounds of flour he used to make both the apple pies and turnovers.

To do this, we must add .

In order to add them, we must get common denominators by multiplying one of the fractions until both of them have the same denominator. For this, we will shoot for 12.

What number do we multiply 3 by to get 12? 4

What number do we multiply 4 by to get 12? 3

If we multiplied the first fraction's denominator by 4, we must do the same for the numerator. This means 1 x 4 = 4.

If we multiplied the second fraction's denominator by 3, we must do the same for the numerator. This means that 3 x 3 = 9.

Now our fractions look like this:  

Now if we add them, including the whole numbers, we get

Now we must take the total pounds of apples and subtract it by the pounds he used:

We need common denominators again, this time, just mess with the first fraction to make your common denominator 12.

What number do we multiply 2 by to get 12? 6

Now we have this:   =

Therefore, Chris has 8 5/12 pounds of apples left. Hope this helped!

by definition, an arc subtended by a central angle of some given measure has the same measure. so .

hope it you

step-by-step explanation:

sin(7pi/6 - pi/3)  

= sin(7pi/6 - 2pi/6)  

= sin(5pi/6)  

= sin(pi - pi/6)  

= sin(pi/6)  

= 1/2  

sin 7pi/6 - sin pi/3  

= sin (pi + pi/6) - sin pi/3  

= -sin pi/6 - sin pi/3  

= -1/2 - sqrt(3)/2  

= -(1+sqrt(3))2