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What is the value of a in this equation?
6a/5 – 2a/2 = 1/2
Ali is x years old and her sister Sara is (10x – 24) years old. Given that Sara is twice as old as Ali, what is Sara’s age?
Mary is x years old. She is 6 years older than her twin brothers Sam and Paul. What is the mean age of the three children?
a is inversely proportional to (b – 4).
If a = 8 and b = 22, express a in terms of b.
In a competition, three teams, A, B and C, scored a total of 150 points.
If A scored 40% of this total and B scored four times as many points as C, what were the number of points scored by B?
Sam, Paul, and Dean share a sum of money in the ratio 14:16:18 respectively. Given that Sam receives $2100, how much does Dean receive?
In a library, 30% of the books are fiction and the rest are non-fiction.
Given that there are 2,000 more non-fiction books than fiction books, what is the total number of books in the library?
A map has the scale of 4 cm to 1 km. What is the actual area of a lake on ground which is represented as an area of 60 cm2 on the map?
What is the number of sides of a regular polygon whose interior angles are 156∘ each?
(Remember, the sum of exterior angles of any polygon is 360∘.)
Sam is now 5 times as old as his son Paul. Four years ago, the product of their ages was 52. Find their present ages.
What is the value of b in the equation:
When a number is subtracted from 125 and the result is divided by 12, the answer obtained is twice the original number. What is the number?
Arrange the numbers 5, 4.26, 9/24, 13/3, and 8/2 in order, from least to greatest.
Arrange the numbers 0.09, 0.099, 0.9, 0.009, and 0.091 in order, from least to greatest.
Find the value of 9+(-41)-(-3)+11
Find the value of (3)(–4)(–3)(5)(–2)
What is the fraction equivalent of 0.032?
What is the percent equivalent of 0.0067?
Express 85% as a fraction in its simplest form.
What is the decimal equivalent of 0.33%
What percent of 15 is 6?
A group of friends set aside four days to drive across a particularly scenic region of the country, stopping at popular tourist spots along the way. They covered 1/4 of the distance on day one, another 4/9 on day two, and 1/6 of the trip on day three. What fraction of the total trip had they completed by the end of the third day?
Pete, Dan, and Carlyle had to dig a 2-foot deep trench to run conduit to their garage so they could wire it for electricity. To share the work, each agreed to dig 1/3 of the way from the house to the garage. Dan went first and dug 1/9 of the total distance early the next morning. What fraction of the total amount of work did Dan still need to complete?
7/8 ÷ 1/16
The town of Greenbody received 10.8 inches of rain in March, 5 inches in April, 3.47 inches in May, and 0.9 inches in June. What was the town’s total rainfall over this four-month period?
Yesterday, Fatima trained for 6.25 hours, riding her bicycle under various conditions. During her workout, she managed to ride 114.75 miles total. What was her average speed during this training session?
What is the value of this expression?
2 x (5 – 8 x 10) + 5
What is the value of the expression: 3 + 2(3 + 4)2 – 6
Which expression is equal to this one?
5x + 2 + 9(x-12)/3 – x
Which of these expressions is equal to 2(4x-2)(x-5)/4(x-5)?
Sebastian purchased a brand new car three years ago for $35,000. The following year its value was estimated at $23,850, and the year after that the price dropped to $20,400. Approximately what was the percentage change in the value of Sebastian’s vehicle between one year and two years after its purchase?
Brad plans to leave instructions with his broker to sell all of his shares in a particular company if the value of its stock rises more than 10% above the current price, but to purchase additional shares if the stock’s value falls more than 10% below its present value. The stock is currently selling for $73.50 a share.
Which expression represents the interval, n, between which the broker should neither buy nor sell any shares of the company’s stock for Brad?
Samantha is employed part-time working for three different businesses. At the first company she is paid $20.00 per hour and works 15 hours each week. Her second job pays $18.25 an hour and requires her to work two hours each day, Monday through Friday. On her last job, Samantha is paid $15.00 per hour. If she works a total of 37 hours every week, how much money does Samantha make on a weekly basis?
Hamza purchased six 2-liter bottles of soft drink to serve at a pizza party with friends. If the group drank 7,264 cubic centimeters of the soda during the party, about how many liters of soft drinks remained afterward?
Patti’s base salary last year was $65,000, not including her year-end bonus. When she checked her human resources profile, she saw that her total compensation added up to $77,500. This total included her bonus, as well as health benefits equivalent to 15% of her base salary.
Rounded to the nearest tenth, what percentage of Patti’s base salary plus benefits was her bonus?
A day trader noted that the value of a particular foreign currency pair fell from 1.32075 when the markets opened on Monday to 1.29620 when the markets closed on Friday. By how much did the value of the currency pair decrease during the week, rounded to the nearest thousandth?
A researcher is developing a new mold sealant designed to cover large areas. She plans to test the substance on a room with a total of 66 square meters of wall space. If the product is designed to cover nine square meters of surface for every liter of compound, she will need to prepare a minimum of approximately how much sealant to cover the entire room?
The graph shows the number of students enrolled in each grade at a local elementary school. Approximately what percentage of the total student population consists of kindergarten students?
An investor purchased a total of 800 shares of stock from six different corporations. The graph represents the total number of shares in his portfolio and shows the distribution of shares purchased from each company. How many of the total shares were purchased from Dr. Pepper Snapple Group?
Which answer choice most accurately describes the distribution observed in the graph?
A review of data from 18 different studies found that there was a reduction in the risk of type 2 diabetes as people increased their consumption of coffee. What valid conclusion can be made about the relationship between the consumption of coffee and the risk of type 2 diabetes, based on the results of this review?
Estimate the value of 30/0.049 correct to 1 significant figure.
Three numbers a, b and 27 have a mean of 30. What is the value of a + b?
Three numbers x, y, and 27 have a mean of 30. Five numbers x, y, 27, a, and b have a mean of 45.
What is the mean of a and b?
What is the median for this set of numbers?
9, 1, 4, 8, 7, 8, 4, 2, 10, 9, 4
A football player scored the following number of field goals in eleven games:
1, 0, 0, 2, 2, 0, 1, 2, 3, 1, 2
What is the modal score?
In the figure, which pair(s) of labeled angles are equal to each other?
In the figure, which of the following pairs of lines are perpendicular?
In the figure, the lines L3 and L4 have the same slope. Which of the following terms best describes their relationship?
In the figure, which of the angles are acute angles?
The figure shows a graph of the speed of a test vehicle, plotted every second for 6 seconds during an experiment. Which of the following statements best describes the motion of the vehicle during this time?
The pie chart shows the percentage of computers using a given web browser when they visited the Wikimedia Commons site over the period of one month. If 500 computers used Opera during that time, what was the total number of computers that visited the site?
The figure shows two types of data distribution. The distribution represented by graph B is best described as
Referring to the graphic, what is the meaning of this statement?
“Median household income was roughly $51,000.”
The graph shows the number of sunspots and the measurement of a variable that estimates the average global temperature (“the temperature proxy”). Which of the following statements best describes the correlation between these 2 measurements?
Two students were practicing the use of a scale. They each weighed an identical object 5 times. Student A got weights of 103, 104, 105,106, and 107 pounds for the object, and student B got 101, 103, 105, 107, and 109 pounds for the same object. Which of the following statements best describes the average and variation in their results?
Kendra uses the pie chart below to represent the allocation of her annual income. Her annual income is $40,000. Which of the following statements is true?
Martin’s bed is 7 feet in length. Which of the following represents the length of the bed, in centimeters?
Which of the following is listed in order from greatest to least?
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