Algebra
Which of these solutions is incorrect?
A: 2x + 5(x-1) = 9, x = 2
B: p - 3(p-5) = 10, p = 2.5
C: 5w + 6w - 3w = 64, w=8
D: t - 2t - 3t = 32, t=8
What is the length of the hypotenuse of a right triangle with legs of length 11 and 60?
61
What is the probability that I get heads twice when I flip a fair coin twive?
1/4 or 25%
Find two real numbers whose sum is 5.7 and difference is 3.3.
4.5 and 1.2
What does the www in front of URLs stand for?
World Wide Web
[8/(24+x)] / [24/(8+x)] = 2
Solve for x
-27.2
What is the area of an equilateral triangle with side length 2cm?
1.73
How many ways are there to draw 4 cards from a deck of 52? (calc short for calculator permitted)
270,725 (god dayum)
How many 0s are there in 15!
3
What element, found in pencils, is also used as a conductor in batteries?
Graphite (NOT LEAD)
if x+y=14 and x^2+y^2=160 what is xy?
18
The surface area of a cube is 24. What is the volume of the cube?
8 (cuz you ate that up shawty bae)
Cities A and B are 45 miles apart. Alicia lives in A and Beth lives in B. Alicia bikes towards B at 18 miles per hour. Leaving at the same time, Beth bikes toward A at 12 miles per hour. How many miles from city A will they be when they meet?
27 miles
What is the units digit of 2^2026?
4
Name this song + artist
(I have faith in you all)
Call me maybe, Carly Rae Jepsen
What is (x+3)^5?
x^5 + 15x^4+90x^3+279x^2+405x+243
A rectangle has integer length sides and an area of 2024. What is the least possible perimeter of the rectangle?
180
Maureen is keeping track of the mean of her quiz scores this semester. If Maureen scores an 11 on the next quiz, her mean will increase by 1. If she scores an 11 on the next three quizzes, her mean will increase by 2. What is the mean of her quiz scores currently?
7 (yikes)
Balls numbered 1, 2, 3... are deposited in 5 bins labeled A, B, C, D, and E using the following procedure: Ball 1 is deposited in bin A, and balls 2 and 3 are deposited in bin B. The next 3 balls are deposited in bin C, the next 4 in bin D, and so on, cycling back to bin A after balls are deposited in bin E. (For example, balls numbered 22, 23...28 are deposited in bin B at step 7 of this process.) In which bin is ball 2024 deposited?
Where will the 2032 Olympics be held?
City + Country for full credit
Brisbane, Australia
Barb the big booty baker has developed a new temperature scale for her bakery called the Breadus scale, which not only mogs every other scale but is also a linear function of the Fahrenheit scale. Bread rises at 110°F, which is 0° on the Breadus scale. Bread is baked at 350°F, which is 100° on the Breadus scale. Bread is done when its internal temperature is 200°F. What is this in degrees on the Breadus scale?
37.5°
Abdul and Chiang are standing 48 feet apart in a field. Bharat is standing in the same field as far from Abdul as possible so that the angle formed by his lines of sight to Abdul an Chiang measures 60°. What is the square of the distance (in feet) between Abdul and Bharat?
3072
A digital display shows the current date as an 8 digit integer consisting of a 4 digit year, followed by a 2 digit month, followed by a 2 digit date within the month. For example, Arbor day in 2023 (which was on April 28) is displayed as 20230428. For how many dates in 2023 will each digit appear an even number of times in the 8 digital display for that date?
How many three digit positive integers N satisfy the following properties?
- N is divisible by 7.
- The number formed by reversing the digits of N is divisible by 5.
14
What is the only country in the world that has a flag that isn't in the shape of a rectangle or square?
Nepal