Maths-
SAT
Easy
Question
5x+ y = a
-3 x-2y=5
In the system of equations above, a is a constant. What is they-value of the solution to the system in terms of a?
.
.The correct answer is:
5x + y = a
15x + 3y = 3a
-3x – 2y = 5
-15x – 10y = 25
15x + 3y = 3a
-15x – 10y = 25
-7y = 3a + 25
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A magazine article on video game habits in the United States reported that in 2012 gamers spent an average of 5.6 hours per week playing games. The article also reported the average for 2013 to be 6.3 hours per week. Based on the article, how did the average number of hours that gamers spent playing games per week change from 2012 to 2013?
A magazine article on video game habits in the United States reported that in 2012 gamers spent an average of 5.6 hours per week playing games. The article also reported the average for 2013 to be 6.3 hours per week. Based on the article, how did the average number of hours that gamers spent playing games per week change from 2012 to 2013?
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Which of the following is equivalent to the expression above for all x > 0, where a and b are positive integers?
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f(x) = 2x - 11
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y= -2
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A group of 10 students played a certain game. Every player received a score equal to an integer from 1 to 10, inclusive. For the 10 players, the mean score was 4. If more than half of the players received a score greater than 5, which of the following is true about the mean score of the remaining players?
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The scatterplot above shows the relationship between the amount of dietary cholesterol, in milligrams (mg), and the amount of total fat, in grams (g), in the 12 sandwiches offered by a certain restaurant. The line of best fit predicts the amount of total fat a sandwich has based on the amount of dietary cholesterol in the sandwich. How many grams of total fat are in the sandwich for which this
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The Conowingo Reservoir had an original storage capacity of 300,000 acre-feet at the end of 1928, the year in which it was built. Starting in 1929, sediment carried downstream by the Susquehanna River collected in the reservoir and began reducing the reservoir's storage capacity at the approximate rate of 1,700 acre-feet per year.
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A scale drawing of a room uses the scale 2 centimeters = 1 foot. In the drawing, one wall has a length of 22 centimeters. What is the actual length, in feet, of this wall?
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f(x) = -0.5x + 56
The given function models the average daily temperature f(x), in degrees Fahrenheit (˚F), in Chicago x days after November 1, for 0 ≤ x ≤ 29. Based on this model, what is the average daily temperature, in ˚F, in Chicago 6 days after November 1?
f(x) = -0.5x + 56
The given function models the average daily temperature f(x), in degrees Fahrenheit (˚F), in Chicago x days after November 1, for 0 ≤ x ≤ 29. Based on this model, what is the average daily temperature, in ˚F, in Chicago 6 days after November 1?
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In 789, Benjamin Franklin gave an amount of money to Boston, Massachusetts. The money was to be invested fo1r 00 years in a trust fund. If the value of the trust fund doubled every n years, which of the following graphs best models the value of the trust fund over time for th1e 00 years?
In 789, Benjamin Franklin gave an amount of money to Boston, Massachusetts. The money was to be invested fo1r 00 years in a trust fund. If the value of the trust fund doubled every n years, which of the following graphs best models the value of the trust fund over time for th1e 00 years?
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In spring 2015, three separate studies on the fitness level of tenth graders were conducted in the city of Mistwick. In each study, every student in a group of tenth graders took the same fitness test and received a score on it. The possible scores on the fitness test are the whole numbers from 50 to 100, inclusive. The distribution of the scores for each of the' studies is shown in the table below.
|
Score range |
Study I |
Study II |
Study III |
| 50-59 |
24 |
50 |
88 |
| 60-69 |
36 |
67 |
67 |
| 70-79 |
22 |
52 |
65 |
| 80-89 |
11 |
14 |
41 |
| 90-100 |
7 |
17 |
39 |
| Mean score |
68.6 |
68.7 |
70.4 |
| Total number of participants |
100 |
200 |
300 |
• For Study I, 100 tenth graders were selected at random from all tenth graders in Mistwick.
• For Study II, 200 tenth graders were selected at random from all tenth graders in Mistwick.
• For Study III, 300 tenth graders from Mistwick volunteered to participate.
No tenth grader participated in more than one of the three studies.
The results of which of the studies can appropriately be generalized to all tenth graders in Mistwick in spring 2015?
In spring 2015, three separate studies on the fitness level of tenth graders were conducted in the city of Mistwick. In each study, every student in a group of tenth graders took the same fitness test and received a score on it. The possible scores on the fitness test are the whole numbers from 50 to 100, inclusive. The distribution of the scores for each of the' studies is shown in the table below.
|
Score range |
Study I |
Study II |
Study III |
| 50-59 |
24 |
50 |
88 |
| 60-69 |
36 |
67 |
67 |
| 70-79 |
22 |
52 |
65 |
| 80-89 |
11 |
14 |
41 |
| 90-100 |
7 |
17 |
39 |
| Mean score |
68.6 |
68.7 |
70.4 |
| Total number of participants |
100 |
200 |
300 |
• For Study I, 100 tenth graders were selected at random from all tenth graders in Mistwick.
• For Study II, 200 tenth graders were selected at random from all tenth graders in Mistwick.
• For Study III, 300 tenth graders from Mistwick volunteered to participate.
No tenth grader participated in more than one of the three studies.
The results of which of the studies can appropriately be generalized to all tenth graders in Mistwick in spring 2015?
maths-sat
