A delivery truck is transporting boxes of two sizes: large and small. The large boxes weigh 55 pounds each, and the small boxes weigh 30 pounds each. There are 110 boxes in all. If the truck is carrying a total of 4800 pounds in boxes, how many of each type of box is it carrying?

Number of small boxes is 50 and number of big boxes is 60

Step-by-step explanation:

let the number of small box represent x and the number of big box represent y

Hence total number of boxes = x + y = 110 Eqn1

Total weight of boxes = 30x + 55y = 4800Eqn2

Solving both equations simultaneously

From Eqn1, x = 110-y, substitute it into equation 2

Hence, 4800 = 30(110-y) + 55y

1500 = 25y

y = 60

X = 110 - 60 = 50

Number of small boxes is 50 and number of big boxes is 60

(2x + 16) + (x) = 180

step-by-step explanation:

given,

abcd is a quadrilateral inscribed in a circle

angle a is labeled x plus 16, (x + 16)

angle b is labeled x degrees, (x)

angle c is labeled 6x minus 4, (6x – 4)

angle d is labeled 2x plus 16, (2x + 16)

what equation can be used to solve for angle b?

we know that the sum of the opposite angles of a simple quadrilateral inscribed in a circle is 180 degrees.

angle b is opposite angle d

therefore, angle b + angle d = 180

(x) + (2x + 16) = 180 

same as (2x + 16) + (x) = 180