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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 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. 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 cm
-4x - 4y = -11. Addition of the two equations gives - y = -2.25 or y = 2.25. Thus, one box of crackers costs $2. 9.55-11.80 = -2. -y = -2. -y/-1 = -2.25/- y = 2.
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
Simplify the following expression: (2/3) / (4/15) X (5/8)
A. 1 9/
B. 1 1/
C. 2 1/
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/ 5/2* 5/8 = 25/16 = 1 9/ Simplify following expression: 0.0178 X 2. A. 2. B. 0. C. 0. 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:
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.
44 x .25 = 11 44-11 = $ Added to the cost of the $50 sweater, which is not discounted, Erma's total is $83. $33 + $55 = $83. Simplify the following expression: 1.034 + 0.275 - 1. A. 0. B. 0. C. 1. D. -0.15 - A. Start by adding the first two expressions, and then subtract 1.294 from the sum: 1.034 + 0.275 - 1. 1.034 + 0.275 = 1. 1.309 - 1.294 = 0. The graph below shows the weekly church attendance among residents in the town of Ellsford, with the town having five different denominations: Episcopal, Methodist, baptist, Catholic, and Orthodox. Approximately what percentage of church-goers in Ellsford attends Catholic Churches? A. 23% B. 28% C. 36%
= (14/3) X (6/7)
= 14 x 6 = 84 = 3 x 7 = 21 84/21 = 4 Solve for x: 2x + 4 = x - 6 A. x = - 12 B. x = 10 C. x = - 16 D. x = - 10 - D. Begin by subtracting 4 from both sides, then subtract x form both sides: 2x + 4 = x - 6 -4 - 4 2x = x - 10
- x. - x x = - 10 Solve for x: 2x - 7 = 3
A. x = 4 B. x = 3
Approximately 123. This is Stella's weight in pounds. Which of the following is listed I order from least to greatest? A. - 3/ 4 , - 7 3/ 4 , - 8 , 18%, 0.25, 2. B. - 8, - 7 4/5, - 3/4, 0.25, 2.5, 18% C. 18%, 0.25, - 3/ 4 , 2.5, - 7 4/ 5 , - 8 D. - 8 , - 7 4/ 5 , - 3/ 4 , 18%, 0.25, 2. 5 - D. The smallest negative integers are those that have the largest absolute value.
- The negative integers, writing in order from least to greatest, are - 8, - 7 4/5,
- The percentage, 18% can be written as the decimal, 0.18; 0.18 is less than 0.25.
- The decimal, 2.5, is the greatest rational number given.
- The values, - 8 , - 7 4/ 5 , - 3/ 4 , 18%, 0.25, 2.5. Between the years 2000 and 2010, the number of births in the town of Daneville increased form 1432 and 2219. Which of the following is the approximate percent of increase int he number of births during those ten years? A. 55% B. 36% C. 64% D. 42% - A.
- Begin by subtracting 1432 from,
- 2219-1432 = 787
- Then, divide 787 by 1432 to find the percent of increase: 0.549. 787/1432 = 0.
Round up: approximately 55% increase in births between 2000 and 2010. Simplify the following expression: (1/4) x (3/5) / 1 (1/8) A. 8/ B. 27/ C. 2/ D. 27/40 - C. Solve the equation in the order of operations: 1/4 x 3/5 = 3/ Follow this up with division, which requires a reversal of the fraction: (3/20) / (9/8) (1 1/8 = 1*8 =8+1 = 9 = 9/8) 3/20 x 8/9 = 24/
- The result simplifies to 2/ While at the local ice skating rink, Cora went around the rink 27 times total. She slipped and fell 20 of the 27 times she skated around the rink. What approximate percentage of the times around the rink did Cora not slip and fall? A. 37% B. 74% C. 26% D. 15% - C. Cora did not fall 7 out of 27 times.
- To find the solution, simply divide 7 by 27 to arrive to arrive at 0.259, or 25.9%. 7/27 = 0.259 = 25.9%
- Rounded up, this is approximately 26% A can has a radius of 1.5 inches and a height of 3 inches. Which of the following best represents the volume of the can?
- B. 300 m
- C. 3,000 m
- 4x + 3y = 9.
- Thus, the equation is x + 4 = 1/3y -
Margery is panning a vacation, and she has added up the cost. Her round-trip airfare will cost $572. Her hotel cost is $89 per night, and she will be staying at the hotel for five nights. She has allotted a total of $150 for sightseeing during her trip, and she expects to spend about $250 on meals. As she books the hotel, she is told that she will receive a discount of 10% per night off the price of $89 after the first night she stays there. Taking this discount into consideration, what is the amount that Margery expects to spend on her vacation? A. $1328. B. $1373. C. $1381. D. $1417.60 - C. Start by adding up the costs of the trip, excluding the hotel cost: $572 + $150 + $250 = $972.
- Then, calculate what Margery will spend on the hotel.
- the first of her five nights at the hotel will cost her $89. -For each of the other four nights, she will get a discount of 10% per night, or $8.90.
- This discount of $8.90 multiplied by the four nights is $35.60.
- The total she would have spent on the five nights without the discount is $445.
- With the discount, the amount goes down to $409.40.
- Add this amount to the $972 for a grand total of $1381.40. Given the double bar graph shown below which of the following statements is true? A. Group A is negatively skewed, while group B is approximately normal.
