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

step-by-step explanation:

i found the life tables for the year 2012. 

life table of males at age 30. probability of dying between ages x and x+1

total population:  

29–30 . . . . . . . . . . . . 0.001030

30–31 . . . . . . . . . . . . 0.001061

males:  

29–30 . . . . . . . . . . . . 0.001420

30–31 . . . . . . . . . . . . 0.001448

white population

29–30 . . . . . . . . . . . . 0.001005

30–31 . . . . . . . . . . . . 0.001037

white males

29–30 . . . . . . . . . . . . 0.001372

30–31 . . . . . . . . . . . . 0.001399

non hispanic white population

29–30 . . . . . . . . . . . . 0.001083

30–31 . . . . . . . . . . . . 0.001116

non hispanic white males

29–30 . . . . . . . . . . . . 0.001477

30–31 . . . . . . . . . . . . 0.001503

jacob, non hispanic white male. 30 years old.

probability that jacob lives to be 30 years old. 

since the given probabilities are probabilities of dying, i think we simply subtract it from 1 to get the probability of living. we will use the probability of non hispanic white male.

                                          probability of living to be 30 y.o.

29 - 30 : 1 - 0.001477 = 0.998523

30 - 31 : 1 - 0.001503 = 0.998497

answer is 33

step-by-step explanation: