Algebra
Find x+2y if
-3x-y=2
7x+4y=4
8
What is the sum of interior angles of a pentagon?
540 degrees
Given the sequence 2, 5, 8, 11, 14, 17,.…
Find the 20th term.
62
How many numbers between 40 and 49, inclusive, are composite?
7
Halley's comet last passed earth in the year 1986 and is expected to pass again 75 year after. If it is late by 8 years, in what year will it next pass earth?
2069
Solve the following system for x:
8x+3y+5z=7
x+y+z=2
16x+6y+10z=15
No Solutions
Determine the surface area of a cube with a side length of 7.
294
What is the probability of rolling an 11 with two fair six-sided dice? Express your answer as a common fraction
1/18
What is the product of the first 5 positive prime integers?
2,310
Name that conic:
9x^2+4y^2+36x-40y-100 = 88
Ellipse
Find the domain of the function:
G(x) = sqrt(x^3-x^2)
[0] U [1, infiniti]
Find the area of a quarter circle with a diameter of 40. Express answers in terms of pi.
100pi
How many ways are there to rearrange the letters in JERSEY?
What is the value of (62^2-38^2)/(52^2-48^2)
A cell phone plan costs 20 dollars each month, plus 5 centers per text message sent, plus 10 cents for each minute used over 30 hours. In January, Ryan Kress (1000 point scorer (4th ever in Randolph History)) sent 100 text messages and talked for 30.5 hours. How much did he have to pay?
Solve for x
Fourth root (9^x+1/27^x) = 81
x=-14
A 24-gon’s interior angles form an arithmetic sequence. What is the sum of the degree angle measures of the 10th and 15th largest angles?
30
Each vertex of the convex pentagon ABCDE is to be assigned a color. There are 6 colors to choose from, and the ends of each diagonal must have different colors. How many different colorings are possible?
3120
What is the sum of the coefficients of (6x^4-9x^20)^5
-243
What is the value of [(2112-2021)^2]/169?
49
Solve for k such that the following system has exactly one solution:
3x^2+kx+18.75=0
15
A 3-4-5 right triangle is inscribed in a circle. What is the radius of such a circle?
2.5 OR 5/2
At a salad shop, one can choose from romaine, iceberg, and butterhead lettuce or a combo of romaine and iceberg and 9 individual, different toppings. If you choose one type of lettuce and any number of different types of toppings, how many different salad combinations can you get?
1,536
1729 can be expressed as a^3 + (a+11)^3 or b^3 + (b+1)^3. What is a*b?
9
What is -600 degrees plus 17pi/3radians in degrees?
420