Acandle maker has 4 1/2 pounds of clear wax. he wants to cut the wax into pieces that are 2/3 pound each. how many 2/3 pound pieces can he divide the wax into? how much wax is left over?

a)  10  pieces of  2/3 pound  can be made.

b) 0.54 pounds of wax is left over.

Step-by-step explanation:

Total amount of clear wax available =   pounds

So, the maker has in total 4.5 pounds of wax

Now, The weight of each piece =  pounds

To find the number of pieces that can be made out of 4.5 pounds of wax,

let that number = n

So,

or, n =

So, nearly 6 pieces can be made completely out of the clear wax

Left over amount of wax  = Total weight -  Weights of the pieces made

                                            =  4.5- 6(0.66)

                                            = 0.54 pounds

Hence, 0.54 pounds of wax is left over

(sin 42)/31. = sinx)/37

sinx = 37 (sin42)/31

= 37× 0.66/31 = 0.787

x= 51.9

other angle opposite to y = 180-51.9-42

= 180- 93.9 =86.1

so

sin42)/31 = sin 86.1)/y

0.021 = 0.997 /y

y= 0.997/0.021 =47.47

4.

step-by-step explanation:

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