Question: 1. An air conditioning system can circulate 430 cubic feet of air per minute. How many cubic yards of air can it circulate per minute?
1. An air conditioning system can circulate 430 cubic feet of air per minute. How many cubic yards of air can it circulate per minute?
The air conditioning system can circulate about ___cubic yards of air per minute.
(Type an integer or a decimal rounded to one decimal place as needed.)
2. Gasoline sells for 1.3 euros per liter in a city in Europe. What is the price in U.S. dollars per gallon?
(Recall that 1 gal=3.785L.)
The cost in U.S. dollars per gallon is approximately $___per gallon.
(Round to the nearest cent as needed.)
3. A bag of garden soil weighs 42 pounds and holds 4 cubicfeet. Find the weight of 15 bags in kilograms
and the volume of 15 bags in cubicyards.
The weight of 15 bags is approximately___kilogram(s).
(Round to the nearest whole number as needed.)
4. Decide which of the two given prices is the better deal and explain why. You can buy shampoo in a 6-ounce bottle for $2.69 or in a 15-ounce bottle for $11.49.
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
A. The 6-6-ounce bottle is the better deal because the cost per ounce is $___ per ounce while the 15-ounce bottle is $___per ounce.
B. The 15-ounce bottle is the better deal because the cost per ounce is $___per ounce while the 6-6-ounce
bottle is $___per ounce.
(Round to the nearest cent as needed.)
5. Decide which of the two given prices is the better deal and explain why.
You can fill a 12-gallon tank of gas for $25.43 or buy gas for $2.10/gallon.
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
A. The better deal is to fill a 12-gallon tank for $ 25.43 because the price to fill a 12-gallon tank of gas for
$25.43 is $___per gallon.
B. The better deal is to buy gas for $ 2.10 divided by gallonbuy gasfor$2.10/gallon because the price to fill a 12-gallon tank of gas for $25.43 is $___per gallon.
(Round to the nearest cent as needed.)
6. Complete the following sentence with a power of ten greater than 1. A kilogram is _______ times as large as a decigram.
A kilogram is 10___times as large as a decigram.
(Type an integer or a decimal.)
7. Complete the following sentence with a power of ten greater than 1. A kilometer is _______ times as large as a micrometer.
A kilometer is 10 times as large as a micrometer.
(Type an integer or a decimal.)
8. Convert the following quantities to the indicated units. 26 liters to quarts
26 liters=___quarts
(Round to the nearest tenth as needed.)
9. Convert the following quantities to the indicated units. 20 square kilometers to square miles
20 square kilometers=___ square miles
10. Convert the following temperatures from Kelvin to Celsius or vice versa.
C= K- 273.15, K=C+273.15
| a. | 9090 K | b. | 220 Upper K220K | c. | 3030degreesC |
a. 90 K=___C
(Type an integer or a decimal.)
11. A certain antihistamine is often prescribed for allergies. A typical dose for a 100-pound person is 21 mg every six hours. Complete parts (a) and (b) below.
a. Following this dosage, how many 13.9 mg chewable tablets would be taken in a week?
b. This antihistamine also comes in a liquid form with a concentration of 13.9 mg/7mL. Following the prescribed dosage, how much liquid antihistamine should a 100-pound person take in a week?
a. A 100-pound person could take___ tablets in a week.
(Round to the nearest whole number as needed.)
12. Decide whether the following statement makes sense (or is clearly true) or does not make sense (or is clearly false). Explain your reasoning. The price of tuition has tripled since my parents went to schoolthat's a 200% increase in price.
Choose the correct answer below.
A. The statement makes sense. A 200% increase in price corresponds to a price that is 300% of the original price.
B. The statement does not make sense. If the tuition triples, then the price increases by 100%.
C. The statement makes sense. The percent increase is always divided by approximately 67 to find the factor by which the original price has changed.
D. The statement does not make sense. If the tuition triples, then the price increases by 300%.
13. Decide whether the following statement makes sense (or is clearly true) or does not make sense (or is clearly false). Explain your reasoning.I've decreased my caloric intake by 124%, which has helped me lose weight.
Choose the correct answer below.
A. The statement does not make sense. My new caloric intake would be 76% of my previous intake, and a positive caloric intake is necessary for survival.
B. The statement does not make sense. My new caloric intake would be 24% of my previous intake, and a positive caloric intake is necessary for survival.
C. The statement makes sense. My new caloric intake is 76% of my previous intake, and because I am consuming fewer calories, I am losing weight.
D. The statement makes sense. My new caloric intake is 24% of my previous intake, and because I am consuming fewer calories, I am losing weight.
14. In the following statement, express the first number as a percentage of the second number. A particular country has an estimated 4340 nuclear weapons out of an estimated total of 15,350 nuclear weapons worldwide (as of 2016).
The country has ___% of the total number of nuclear weapons worldwide.
(Round to the nearest tenth as needed.)
15. Clint's salary increased from $22,000 to $30,800 over a three-year period. Helen's salary increased from $29,000 to $40,600 over the same period. Whose salary increased more in absolute terms? In relative terms? Explain.
Whose salary increased more in absolute terms? Select the correct choice below and fill in the answer box(es) to complete your choice.
A.
Helen's salary increased more because her salary increased by $___. This is more than $___, the amount that Clint's salary increased.
B. Clint's salary increased more because his salary increased by $___. This is more than $___, the amount that Helen's salary increased.
C. Neither person's salary increased more because both of their salaries increased by $___.
16. Find the absolute change and the relative change in the following case.
The number of commercial radio stations playing a particular genre of music decreased from 743 in 2004
to 367 in 2014.
The absolute change is___.
(Simplify your answer. Type an integer or a decimal.)
17. Complete the following sentence.
The gestation period of cattle (283days) is _____ percent longer than the gestation period of dogs (65days).
The gestation period of cattle (283days) is___ percent longer than the gestation period of dogs (65days).(Round the final answer to one decimal place as needed. Round all intermediate values to three decimal places as needed.)
18. Complete the following sentence.
The main span of Bridge A (2200feet) is _____ percent shorter than the main span of Bridge B (4300feet).
The main span of Bridge A (2200feet) is___ percent shorter than the main span of Bridge B (4300feet).
(Round the final answer to one decimal place as needed.)
19. Fill in the blank. Will is 34% taller than Wanda, so Will's height is ____% of Wanda's height.
Will's height is___% of Wanda's height.
20. The percentage of people accessing the Internet increased from 62% in 2000 to 88% in 2012. Complete parts (a) and (b) below.
a. Describe the change as an absolute change in terms of percentage points.
The percentage of people accessing the Internet increased by___ percentage points.
(Type an integer or a decimal.)
21. Alcohol use by high school seniors in a certain state decreased from 52.3% in 2000 to 35.9% in 2015. Describe this change as an absolute change in terms of percentage points and as a relative change in terms of a percentage.
Describe the change as an absolute change in terms of percentage points. The percentage of high school seniors using alcohol decreased by___ percentage points.(Type an integer or a decimal.)
22. Assume that 30% of city employees in City A ride the bus to work. Consider the following two statements:
The percentage of city employees who ride the bus to work is 10% higher in City B than in City A.
The percentage of city employees who ride the bus to work is 10 percentage points higher in City B than in City A.
For each case, state the percentage of city employees in City B who ride the bus to work. Briefly explain why the two statements have different meanings.
When the percentage of city employees who ride the bus to work is 10% higher in City B than in City A, what percentage of city employees in City B ride the bus to work? ___%
(Type an integer or a decimal.)
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