Question

1. there are 2850.5 miles between houston, tx and vancouver, canada, site of the 2010 olympic games. how many meters is that equal to if 1 mile is equal to 1.6 km? express your answer in scientific notation

1. a newborn baby eats 8 times a day. at each feeding, he eats 2.5 ounces of formula. how many days would it take for the baby to eat 1000 ounces?

1. jonathan raised 60 goats, then entered into a series of business transactions. he traded all the goats for sheep at an exchange rate of 5 goats for 7 sheep. next, he exchanged all the sheep for hogs at a rate of 4 sheep for 2 hogs. how many hogs did he get?

1. eggs are shipped from a poultry farm in trucks. each carton of eggs holds 12 eggs. the cartons of eggs are then placed in a crate that holds 20 cartons. the cartons are packed in trucks that carry 3125 crates of eggs. how many truckloads will it take to carry 3.75 × 10⁶ eggs?

1. a chemistry teacher spends 5 minutes grading 1 student’s lab. she has 150 students who turn in lab papers for each lab. if we do 25 labs in class, how many minutes will i spend grading lab papers?

1. my son drinks 3 cups of milk a day. there are 8 ounces in a cup. how many ounces would he have drunk after 10 weeks?

1. in the average us household, the television is on 6.75 hours a day! how many hours will have passed after 77.7 years (the average life expectancy of an american)?

1. each dimensional analysis problem has taken you 1.5 minutes to complete. how many dimensional analysis problems could you complete in 6 weeks of chemistry class (242 minutes a week)?

Explanation:

Problem 8

Step1: Convert miles to kilometers

Given 1 mile = 1.6 km, so 2850.5 miles in km is \(2850.5\times1.6\) km.
\(2850.5\times1.6 = 4560.8\) km.

Step2: Convert kilometers to meters

Since 1 km = 1000 m, multiply by 1000: \(4560.8\times1000 = 4560800\) m.

Step3: Express in scientific notation

Scientific notation is \(a\times10^{n}\) where \(1\leq a<10\). So \(4560800 = 4.5608\times10^{6}\) m.

Step1: Find ounces per day

Baby eats 8 times a day, 2.5 ounces each time. So per day: \(8\times2.5 = 20\) ounces/day.

Step2: Find days for 1000 ounces

Days = Total ounces / Ounces per day = \(1000\div20 = 50\) days.

Step1: Find number of sheep

Exchange rate 5 goats for 7 sheep. 60 goats: \(\frac{60}{5}\times7 = 12\times7 = 84\) sheep.

Step2: Find number of hogs

Exchange rate 4 sheep for 2 hogs (simplify to 2 sheep for 1 hog). 84 sheep: \(\frac{84}{4}\times2 = 21\times2 = 42\) hogs.

Answer:

\(4.5608\times10^{6}\) meters

Problem 9