Amanufacturing company ships its product in two different sizes of truck trailers. each ship- ment is made in a trailer with dimensions 8 feet × 10 feet × 30 feet or 8 feet × 10 feet × 40 feet. if 30% of its shipments are made by using 30-foot trailers and 70% by using 40-foot trailers, find the mean volume shipped per trailer load. (assume that the trailers are always full.)

Step-by-step explanation:

First we have to calculate the volume of each trailer then:

Now as we have 30% of the 30ft trailer and 70% of the 40ft trailer we just need to multiply each volume by 0.3 and 0.4 respectively and add the results to have the mean volume shipped per trailer, then:

75 tickets have been sold so far.

step-by-step explanation:

in this question it is clearly mentioned that 45 children's tickets have been sold and this number is 60% of the total tickets sold.

now let's assume the total number of tickets sold be x.

then 60% of x = 45

⇒

⇒ x(.6) = 45

by dividing with .6 on both the sides of the equation

⇒ x = 75

therefore 75 tickets have been sold so far.