Question

chapter 4 - chemistry conversions test review
show your work! make sure you use units and label your final answer!

1. how many inches are in 3.9 miles? (12 inches = 1 foot, 1 yards = 3 feet, 5,260 feet = 1 mile)
2. mr. t has been dating his girlfriend for one year, nine months, and six days. how many hours has mr. t been in a relationship? (assume mr. t put “in a relationship” on facebook the second they started dating)
3. on october 15, 1997 andy green set the land speed record with the thrustssc getting up to 1223.657 km/hour. what is this speed in miles/hour? (1km = 0.625 miles)
4. a student drinks 3 cans of mt. dew per day. what is this student’s rate of consumption in terms of cases/year? hint: start off with 3cans/day. (12 cans = 1 case) (365days = 1 year)

Explanation:

Step1: Convert miles to inches

$3.9\ miles\times\frac{5260\ feet}{1\ mile}\times\frac{12\ inches}{1\ foot}=249680\ inches$

Step2: Calculate relationship - hours

1 year = 365 days, 1 month = 30 days (approx). 1 year 9 months 6 days = (365 + 9×30+6) days = 631 days. 631 days×24 hours/day = 15144 hours

Step3: Convert km/h to miles/h

$1223.657\ km/h\times\frac{0.625\ miles}{1\ km}=764.785625\ miles/h$

Step4: Calculate cases/year

$3\ cans/day\times\frac{1\ case}{12\ cans}\times365\ days/year = 91.25\ cases/year$

Answer:

1. 249680 inches
2. 15144 hours
3. 764.785625 miles/h
4. 91.25 cases/year