Which of the following is the percentage equivalent of 0.0016? A. 16%
B. 160%
C. 1.6%
D. 0.16% - D. To derive a percentage from a decimal, multiply by
... [Show More] 100: 0.0016(100) = 0.16%
Curtis is taking a road trip through Germany, where all distance signs are in metric. He passes a sign that states the city of Dusseldorf is 45 kilometers away. Approximately how far is this in miles?
A. 42 miles
B. 37 miles
C. 28 miles
D. 16 miles - C. one kilometer is about 0.62 miles, 45(0.62) = 27.9
approximately 28 miles
On a floor plan drawn at a scale of 1:100, the area of a rectangular room is 30 cm2. What is the actual area of the room?
A. 30,000 cm2
B. 300 m2
C. 3,000 m2
D. 30 m2 - D. Since there are 100 cm in a meter, on a 1:100 scale drawing, each centimeter represents one meter. Therefore, an area of one square centimeter on the drawing represents one square meter tin actuality.
- Since the area of the room in the scale drawing is 30 cm2, the room's actual area is 30 m2.
L/100 x W/100 = 30 cm2
lw/100 = 30 cm2 Area = 300,000 cm2
300,000 cm2 x. 1m/100 cm x 1m/100 cm = 30m2
Mandy can buy 4 containers of yogurt and 3 boxes of crackers for $9.55. She can buy 2 containers of yogurt and 2 boxes of crackers for $5.90. How much does one box of crackers cost?
A. $1.75 B. $2.00 C. $2.25
D. $2.50 - C.
The situation may be modeled by the system: 4x + 3y = 9.55
2x + 2y = 5.90
Multiplying the bottom equation by - 2 gives:
4x + 3y = 9.55
-4x - 4y = -11.80
Addition of the two equations gives - y = -2.25 or y = 2.25. Thus, one box of crackers costs
$2.25
9.55-11.80 = -2.25
-y = -2.25
-y/-1 = -2.25/-1
y = 2.25
1.
THE NEXT TWO QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION:
Pernell's scores on her last five chemistry exams were 81, 92, 87, 89, and 94.
What is the approximate average of her scores? A. 81
B. 84
C. 89
D. 91 - C. To find the average of Pernell's scores, add them up and then divide by the number of scores (5 in this case). In other words,
81 + 92 + 87 + 89 + 94 = 443
443/5 = 89
2.
THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION:
Pernell's scores on her last five chemistry exams were 81, 92, 87, 89, and 94.
What is the medium of Pernell's scores? A. 87
B. 89
C. 92
D. 94 - B. To find the median, list the series of numbers form least to greatest. The middle number represents the median -- in this case 81, 87, 89, 92, 94.
The number 89 is in the middle, so it is the median.
Gordon purchased a television when his local electronics store had a sale. The television was offered at 30% off its original price of $472. What was the sale price that Gordon paid?
A. $141.60 B. $225.70 C. $305.30
D. $330.40 - D. The television is 30% off its original price of $472. 30% of 472 is 141.60. (0.30)(472) = 141.60
472 - 141.60 = 330.40
Thus, Gordon paid $330.40 for the television.
Simplify the following expression: (2/3) / (4/15) X (5/8)
A. 1 9/16 B. 1 1/4 C. 2 1/8
D. 2 - A. To simplify, proceed it he order of the operations: (2/3) / (4/15) = (3/2) x (15/4) = 30/12 = 10/2 = 5/2
5/2* 5/8 = 25/16 = 1 9/16
Simplify following expression:
0.0178 X 2.401
A. 2.0358414
B. 0.0427378
C. 0.2341695
D. 0.3483240 - B. This is a simple matter of multiplication. The production is 0.00427378.
Tom needs to buy ink cartridges and printer paper. Each ink cartridge costs $30. Each ream of paper cost $5. He has $100 to spend. Which of the following inequalities may be used to find the combinations of ink cartridges and printer paper that he may purchase?
A. 30c + 5p < 100
B. 30c + 5 p < 100
C. 30c + 5p > 100
D. 30c + 5p > 100 - A. The inequality will be less than or equal to, since he may spend $100 or less on his purchase.
Solve for x:
4(2x-6) = 10x-6
A. x= 5 B. x= - 7
C. x= - 9
D. x= 10 - C. Multiplying the equation results in the following:
8x - 24 = 10x - 6
+6 +6
8x - 18 = 10x
-8x -8x
-18 = 2x
-18/2 = 2x/2
-9 = x
x = -9
Erma has her eye on two sweaters at her favorite clothing store, but she has been waiting for the store to offer a sale. This week, the store advertises that all clothing purchases, including sweaters, come with an incentive: 25% off a second item of equal or lesser value. One sweater is $50 and the other is $44. If Erma purchases the sweaters during the sale, what will she spend?
A. $79 B. $81 C. $83
D. $85 - C. Erma's sale discount will be applied to the less expensive sweater, so she will receive the $44 sweater for 25% off.
This amount to a discount of $11, so the cost of the sweater will be $33 [Show Less]