Adelivery truck is transporting boxes of two sizes: large and small. the combined weight of a large box and small box is 80pounds. the truck is transporting 55 large boxes and 60 small boxes. if the truck is carrying a total of 4575 pounds in boxes, how much does each type of box weigh? large: small:

Large; 45 pounds

Small: 35 pounds

Step-by-step explanation:

let x= large and y=small

Set up two equations:

x+y=80

55x+60y=4575

Solve:

x=80-y

Plug this 'x' into your other equation

55(80-y)+60y=4575

Distribute:

4400-55y+60y=4575

Simplify:

5y=175

Divide:

y=35 small boxes

Plug this 'y' into first equation

x+35=80

Solve:

x=45

(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

bull

step-by-step explanation: