Algebra
The number that could replace p below:
p/4 = 6/8
What is 3?
Lines AB and CD intersect at point O.
The most precise and correct statement about perpendicular lines from among those that are given below is:
- Line AB is perpendicular to line CD if the two lines intersect such that the measure of angle AOD equals the measure of angle BOC.
- Line AB is perpendicular to line CD if the two lines never meet.
- Line AB is perpendicular to line CD if the two lines intersect such that angle AOD is a right angle.
What is line AB is perpendicular to line CD if the two lines intersect such that angle AOD is a right angle?
729 is odd or even
What is odd?
The Gabrielsons ran a family relay race. The distance run by each family member (in kilometers) is listed below.
11, 4, 8, 2, 5
The mean distance
What is 6 km?
The value of (22 - 2) - (32 - 3) + (42 - 4)
What is 8?
The table shows the type of super power students wish they had.
Super power | Students
Flight | 8
Super strength | 10
X-ray vision | 6
Invisibility | 12
The true statements about the information in the table are:
- The ratio of students who wish they had x-ray vision to all students is 1:6.
- For every 2 students who wish they could fly there are 9 total students.
- None of the above
What are the ratio of students who wish they had x-ray vision to all students is 1:6 and for every 2 students who wish they could fly there are 9 total students?
Line segment AB is from point A (2, -6) to point B (2, -3).
Line segment A'B' is the result of translating line segment AB by 1 unit to the right and 3 units up.
The correct statements about the unchanged properties of line segment AB and line segment A'B' are:
- Line segment AB and line segment A'B' are both parallel to the y-axis.
- Line segment AB and line segment A'B' have the same lengths.
- B and B' have the same coordinates.
- None of the above
What are line segment AB and line segment A'B' are both parallel to the y-axis and line segment AB and line segment A'B' have the same lengths?
1,481,481,468/12 is an integer or not
What is an integer?
Suzanne owns a small business that employs 5 other people. Suzanne makes $100,000 per year, and the other 5 employees make between $40,000 and $50,000 per year.
Suzanne decides to increase her salary by $30,000 per year and leave the rest of the salaries the same.
This decision's effect on the mean and the median
What is the mean will increase, and the median will stay the same?
Portia's high school has 3 times as many students as Lara's high school. The two high schools have a total of 2600 students. The number of students in Portia's high school
What is 1950?
The slope of the line that passes through (0, -2) and (-2, 0)
What is -1?
There are two triangles. Both triangles have one side which has a length of 4. One triangle comprises one angle which is of 67 degrees and another angle which is of 65 degrees. The other triangle comprises of one angle which is of 65 degrees and another angle which is of 48 degrees.
The correct statement about the congruence of the triangles is:
- Yes
- No
- There is not enough information to say.
What is yes?
The remainder when 48 is divided by 7
What is 6?
The following data points represent the number of police calls that were made last year in each of the cities in Hogdon County.
253, 244, 363, 235, 311, 276, 222
The least to greatest order for the above data points and the median
What are 222, 235, 244, 253, 276, 311, and 363 and 253 calls?
The sum of two natural numbers is 17,402. One of the two numbers is divisible by 10. If the units digit of that number is erased, the other number is obtained. The difference of these two numbers
What is 14,238?
The number of branches on a large tree after the year 2000 is represented by the following table:
Time (years) | Branches
0 | 16
2 | 23
4 | 33
6 | 48
8 | 69
10 | 99
The model for B(t), the number of branches t years after they year 2000, best fits the data is:
- B(t) = 16 * (1.2)t
- B(t) = 16 + 7*t
- B(t) = 16 + 30*t
- B(t) = 16 * (1.44)t
What is B(t) = 16 * (1.2)t?
There is a triangle which includes one side of length 6, one side of length 4, and one side of length 7.
The triangles that are similar to the triangle described above are:
- A triangle which includes one side of length 12, one side of length 7, and one side of length 9.
- A triangle which includes one side of length 9, one side of length 6, and one side of length 10.5.
- Both
- Neither
What is a triangle which includes one side of length 9, one side of length 6, and one side of length 10.5?
The prime factorization of 48
What is 24 * 31?
Yearly salary (thousands of dollars): 41, 38, 36, 57, and 43
The mean yearly salary
What is 43 thousand dollars?
A cart rolls down a hill, travelling 5 inches the first second and accelerating so that during each successive 1-second time interval, it travels 7 inches more than during the previous 1-second interval. The cart takes 30 seconds to reach the bottom of the hill. The distance traveled in inches
What is 3195?
h(x) = (5x6 + 2)/(x7 - 1)
h(x) approaches this as x approaches −∞
What is 0, from below?
There is a triangle which has sides of lengths 7, 25, and 24. The side with length 24 is opposite angle A. The side with length 25 is opposite angle C. The side with length 7 is opposite angle B.
tan (angle BAC)
What is 24/7?
The proof of the divisibility rule of 7: for a number N, double the units digit and take its difference with the remaining number except for the units digit. If it is a multiple of 7, then the number is divisible by 7.
What is this follows because 106 - 1 = 999,999 = 142857 * 7, so 106kMk + 106(k - 1)Mk - 1 + ... + 106M1 + M0 is a multiple of 7 if and only if Mk + Mk - 1 + ... + M0 is a multiple of 7; if we use 0 <= Mi <= 999,999, we get the result as stated?
You randomly draw a marble from a bag of marbles that contains 7 blue marbles, 2 green marbles, and 1 red marble.
P (not draw a blue marble) in decimal form
What is 0.3?
The quiz scores of a class with k > 12 students have a mean of 8. The mean of a collection of 12 of these quiz scores is 14. What is the mean of the remaining quiz scores of terms of k?
What is (8k - 168)/(k - 12)?