Ratios, Rates and Percents
A dog shelter has 12 golden retrievers, 5 black labs, 2 huskies, and 7 dalmatians. Express the ratio of golden retrievers to huskies as a fraction in simplest form.
6/1
7.92 gallons
x = 2
Write the following in expanded form
35x7
3*3*3*3*3*x*x*x*x*x*x*x
A dog shelter has 12 golden retrievers, 5 black labs, 2 huskies, and 7 dalmatians. Express the ratio of black labs to dalmatians as a fraction in simplest form.
5/7
If Stewart is paid $85 for one day of work and he worked 7 hours, what is his hourly pay? Round to the nearest cent.
$12.14 per hour
2(x + 1) = 14
x = 6
Simplify using the properties of exponents
(6x3)8
68x24
If James got 17 out of the 24 questions on his test correct, what percent of the questions did he correctly answer? Round to the nearest percent.
71%
If Anna paints about 3 pictures every week and a half, how many paintings would she expect to finish in a year?
104 paintings.
3x - 5 = 7x - 17
x = 3
Simplify using the properties of exponents
(x3y2)/(xyz)2
x/z2
If a college typically accepts 76% of its applicants and it has 5,000 applicants this year, how many students would it expect to accept?
3800
If the sun was shining for about 21/30 days last year during the month of July, how many days would you expect the sun to be shining throughout the year if it maintained this rate? Round up to the nearest day.
256 days.
3(x + 2) - 1 = 4(2 - x) + 11
x = 2
Simplify the following using the properties of exponents.
(6xy)*(72x4)2
6*74*x9y
Write the following as both a fraction in simplest form and a decimal.
82%
0.82 and 41/50
If you earned a scored of 37/50 on a practice test, how many questions might you expect to get right if the actual test has 105 questions? Round up to the nearest question.
78 questions
4(x + 3(x - 1)) = 36
x = 3
(2x2y-3)/(4x-4y3)
x6/2y6