Math-test 10

If 2x + 3y = 7x - 4y, what is x/y?

7/5

The scores on a math exam worth 100 points are normally distributed with a mean of 70 and a standard deviation of 8. If Allen's z-score on the exam is -1.5, what grade did he receive on the exam?

58

x2 + x - 6 = 0 Quantity A: X Quantity B: 0

The reltionship cnnot be determined

What is the solution set of: |x + 3| ≤ 10

-13 ≤ x ≤ 7

A fair coin is flipped 5 times, what is the probability of getting a tail in the fifth flip?

1/2 bc every coin flip is independent of coin flips having only 2 side to the coin

If 5x + 3y = 15 and 3x + y = 4, what is the value of 2x + 2y?

11

For a company that manufactures air conditioners, the fixed costs for the company amount to $60,000 regardless of how many air conditioners they sell. If the company produces air conditioners for $49 a unit and sells them for $99 a unit, what is the least amount of air conditioners the company must sell to break even?

1200

Dennis has $4.00 in nickels dimes and quarters. If he has four more quarters than nickels, and 3 times as many dimes as nickels, how many dimes does he have?

15

A 200-gallon tank has a pipe at the top that fills it with water at a rate of 15 gallons per minute. However, it also has a leak at the bottom that drains water at a rate of 6 gallons per minute. Assuming the tank is initially empty, how long would it take to fill the tank to 80% of its capacity?

17.8

An unknown amount of a 20% saline solution (1) is mixed with an unknown amount of a 60% saline solution (2) to produce an 80-liter solution that is 50% saline. Quantity A: The ratio of the vollume of the 1st solution to the 2nd solution Quantity B: 2/3

2/3 (quantity B is greater)

Lily and Nada share silver coins in the ratio 7:3. If Lily gives 3 silver coins to Nada, the ratio becomes 5:3. How many silver coins did Lily have initially?

28

How many liters of a 10% acid solution must be mixed with 10 liters of a 30% acid solution to produce a solution that is 15% acid solution?

30

If 5 liters of 20% alcohol solution are mixed with 10 liters of 40% alcohol solution, what is the percentage of alcohol in the mixture?

33.3%

Dana is 20 years younger than her mother. In 4 years, the mother will be twice as old as Dana. How old is the mother now?

36

Question #33 What is the mean, median, mode, and range of the following set, in that order? {1, 2, 4, 5, 6, 6, 7, 9}

5,5.5,6,8

If two fair dice are rolled, what is the probability of getting a sum of 8?

5/36

Approximately, how many yards are there in 5,000 centimeters? (1 m = 1.1 yd)

55

If the price of a concert ticket increases by 20%, then increases by another 20%, and then increases again by 10%, what is approximately the overall percent increase of the ticket?

58%

Simplify 3x/3-x+2/3

5x-8/12

In a cookie bag, the ratio of almond cookies to raisin cookies to peanut butter cookies is 4:3:7. If there are 280 cookies in the bag, how many raisin cookies are there?

60

If Garry drives 50 kilometers in 30 minutes, approximately what is his speed in miles per hour? (1 km = 0.62 miles)

62 mph

James drives from City A to City B at a speed of 70 mph. Three hours later, Grant also starts driving from City A to City B, but at a speed of 100 mph. If they continue driving at their respective speeds, how many miles away from City A will they meet?

700 miles

In how many ways can 3 different algebra books and 3 different physics books be arranged on a shelf?

720

Albert signed a contract to work 30 days under the following conditions: for each day he worked he was to receive 50 dollars. For each day he did not work he was to forfeit 15 dollars. At the end of 30 days, Albert received 980 dollars. How many days was Albert not working?

8 dys

Dana's test scores on the first four exams are 80, 78, 70, and 60. If Dana wants to increase her test average by 8 points, what is the minimum average she needs on her last 2 exams to accomplish her goal?

96

Question #25 Is x < 0 ? 1) xy < 0 2) x|y| < 0 A. Statement 1) alone is sufficient but statement 2) alone is NOT sufficient to answer the question. [2%] B. Statement 2) alone is sufficient but statement 1) alone is NOT sufficient to answer the question. [61%] C. Both statements 1) and 2) together are sufficient to answer the question but neither statement is sufficient alone. [12%] D. Each statement alone is sufficient to answer the question. [9%]

B

Quantity A Percent increase of rainfall fromJanuary to February Quantity B Percent increase of rainfall from maarch to april

B. Quantity B is greater. [56%]

If 2x2 - ax + 6 = 0 has two distinct real roots, which of the following must be true? . A. a2 < 48 [20%] B. a2 = 48 [15%] C. a2 > 48 [48%] D. a2 = 12 [12%] E. a2 = 24 [5%]

C

Question #26 A bag contains 4 red marbles, 6 green marbles, and 2 white marbles quantity a: 1/9 quantity b: the probability of picking. red marble and a white marble with replacement

The two quantities are equal

Which of the following lines is perpendicular to the x-axis? A. y + 3x - 2 = 0 [3%] B. y = 5x [3%] C. x = -4 [68%] D. y = 4 [18%] E. y = x [8%]

x=-4; x is the constant