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18\text{ units} | 18\text{ units} | # Question
In the figure, square $WXYZ$ has a diagonal of 12 units. Point $A$ is a midpoint of segment $WX$, segment $AB$ is perpendicular to segment $AC$ and $AB = AC.$ What is the length of segment $BC$? [asy]
import olympiad; size(150); defaultpen(linewidth(0.8));
draw(unitsquare);
draw((2,0)--(0.5,0)--(0.5,1.5)--cycle);
label("$W$",(0,0),W); label("$X$",(1,0),S); label("$Y$",(1,1),E); label("$Z$",(0,1),W);
label("$A$",(0.5,0),S); label("$B$",(2,0),E); label("$C$",(0.5,1.5),N);
[/asy]
# Solution
| Geometry | 3 |
0 | Unavailable | # Question
A student takes 3 math courses, each worth 3 credits. His grade point average is 3.05. The sum of the grades of the 3 courses is 90. What is the lowest possible grade for one of the courses?
# Solution
| Synthetic | 6 |
0 | Unavailable | # Question
During a trip to the museum, Tania and her family spend $25 on admission. They then spend $12 on a meal in the cafeteria. What is the total amount of money they spend?
# Solution
| Synthetic | 6 |
0 | Unavailable | # Question
A man traveled from point A to point B and then from point B to point C. He traveled 4 times as far from point A to point B as he did from point B to point C. If he traveled 120 miles from point A to point B, how many miles did he travel from point B to point C?
# Solution
| Synthetic | 6 |
\text{Saturday} | \text{Saturday} | # Question
Kim's birthday was 200 days ago. Today is Wednesday. On what day of the week did his birthday fall?
# Solution
| Number Theory | 3 |
0 | Unavailable | # Question
Each of the 27 students in the class had a different number of candy bars. If the total number of candy bars in the class was 81, how many candy bars did the student with the most candy bars have?
# Solution
| Synthetic | 6 |
\frac{9}{2} | \frac{9}{2} | # Question
The volume of the parallelepiped generated by $\begin{pmatrix} 2 \\ 3 \\ 4 \end{pmatrix},$ $\begin{pmatrix} 1 \\ k \\ 2 \end{pmatrix},$ and $\begin{pmatrix} 1 \\ 2 \\ k \end{pmatrix}$ is 15. Find $k,$ where $k > 0.$
# Solution
| Precalculus | 4 |
0 | Unavailable | # Question
In a two-person game, each player in turn rolls a fair die. The player who rolls the largest number wins. What is the probability that the game ends on the 4th turn?
# Solution
| Synthetic | 6 |
0 | Unavailable | # Question
A fruit stand sells a case of bananas for $25. If a case of bananas is 12 dozen, how much does one banana cost?
# Solution
| Synthetic | 6 |
29 | 29 | # Question
Given the equation $a + b = 30$, where $a$ and $b$ are positive integers, how many distinct ordered-pair solutions $(a, b)$ exist?
# Solution
| Counting & Probability | 3 |
10\frac{1}{12} | 10\frac{1}{12} | # Question
The greatest integer function, $\lfloor x\rfloor$, denotes the largest integer less than or equal to $x$. For example, $\lfloor3.5\rfloor=3$, $\lfloor\pi\rfloor=3$ and $\lfloor -\pi\rfloor=-4$. Find the sum of the three smallest positive solutions to $x-\lfloor x\rfloor=\frac1{\lfloor x\rfloor}.$ Express your answer as a mixed number.
# Solution
| Algebra | 5 |
26 | 26 | # Question
Find the arithmetic mean of the prime numbers in this list: 21, 23, 25, 27, 29
# Solution
| Number Theory | 2 |
0 | Unavailable | # Question
A $20$ kilogram box of clay is used to make a series of 350 kg clay vases, each with the same mass. How much does each vase weigh?
# Solution
| Synthetic | 6 |
0 | Unavailable | # Question
A shop sells 200 pens. 100 are red and 100 are blue. How many more red pens than blue pens are there?
# Solution
| Synthetic | 6 |
0 | Unavailable | # Question
There are 1000 people at a wedding. If 300 of them have a meal and 200 of them have a drink, how many people are left?
# Solution
| Synthetic | 6 |
0 | Unavailable | # Question
Three friends, Toby, Mary, and Elizabeth, are sitting at a table. Toby is sitting next to Elizabeth. Mary is sitting between Toby and Elizabeth. Who is sitting next to Elizabeth?
# Solution
| Synthetic | 6 |
0 | Unavailable | # Question
What is the total sum of all the integer solutions for x in the equation $x^4 - 25x^2 + 144 = 0$?
# Solution
| Synthetic | 6 |
0 | Unavailable | # Question
A man has $450 in his wallet. He wants to divide his money into two parts and spend them on two different things. He wants to spend $100 on one thing, and the rest on the other thing. How much money will he spend on each thing?
# Solution
| Synthetic | 6 |
4 | 4 | # Question
Find the remainder when $2 \times 12 \times 22 \times 32 \times \ldots \times 72 \times 82 \times 92$ is divided by $5$.
# Solution
| Number Theory | 2 |
0 | Unavailable | # Question
A computer company sells 4 different computers with the following prices: $1,000, $1,100, $1,200, $1,300. A customer is willing to pay $4,000 for a computer and would like to know how many computers he could buy with his budget. How many computers could the customer buy?
# Solution
| Synthetic | 6 |
\$0.25 | \$0.25 | # Question
An unfair coin lands on heads with probability $\frac34$ and tails with probability $\frac14$. A heads flip gains $\$3$, but a tails flip loses $\$8$. What is the expected worth of a coin flip? Express your answer as a decimal rounded to the nearest hundredth.
# Solution
| Counting & Probability | 3 |
0 | Unavailable | # Question
If a box contains 100 oranges and 50 of them are rotten, what percent of the oranges are rotten?
# Solution
| Synthetic | 6 |
0 | Unavailable | # Question
If Dave can only ride the merry-go-round for 10 minutes before feeling sick, and Chuck can ride it 5 times longer than Dave, how long can Erica stay on the merry-go-round before getting sick if she can stay on 30% longer than Chuck?
# Solution
| Synthetic | 6 |
3 | 3 | # Question
When all the girls at Madeline's school line up in rows of eight, there are seven left over.
If instead they line up in rows of four, how many are left over?
# Solution
| Number Theory | 1 |
0 | Unavailable | # Question
If a rectangular garden is 5 feet longer than it is wide, what is the length of a side of a square garden that has the same area as the rectangular garden?
# Solution
| Synthetic | 6 |
0 | Unavailable | # Question
A man has $300,000 to invest in a mutual fund. The mutual fund offers three investment options. The first option is a risky investment with a 30% chance of earning 12% return and a 70% chance of earning 5%. The second option is a moderate investment with a 50% chance of earning 7% return and a 50% chance of earning 3%. The third option is a conservative investment with a 100% chance of earning 2%. What is the expected return of his investment?
# Solution
| Synthetic | 6 |
3\sqrt{3} | 3\sqrt{3} | # Question
In triangle $\triangle ABC,$ we have that $AB = AC = 14$ and $BC = 26.$ What is the length of the shortest angle bisector in $ABC$? Express your answer in simplest radical form.
# Solution
| Geometry | 4 |
0 | Unavailable | # Question
A restaurant's menu lists the following prices:
Small Pizza: $8
Large Pizza: $12
Small Salad: $6
Large Salad: $9
A customer orders a large pizza and a large salad. What is the total cost of the order?
# Solution
| Synthetic | 6 |
0 | Unavailable | # Question
In a 100-meter race, Alice and Bob run at the same pace. Alice runs 50 meters and then stops to rest for 15 seconds. Bob runs 20 meters and then stops to rest for 10 seconds. After how many seconds has Bob run the same distance as Alice?
# Solution
| Synthetic | 6 |
0 | Unavailable | # Question
What is the value of the expression $2^{2\times3\times5}$?
# Solution
| Synthetic | 6 |
12\sqrt 3 | 12\sqrt 3 | # Question
Triangle ABC is an equilateral triangle and O is the center of its inscribed circle. If the area of the circle is $4\pi$ sq cm, what is the area, in square centimeters, of triangle ABC? Express your answer in simplest radical form.
Note: The area of a circle with radius $r$ is $\pi r^2.$
# Solution
| Geometry | 4 |
0 | Unavailable | # Question
If a 20 pound bag of dog food lasts for 20 pounds / 6 pounds per day = 3.33 days, how many days does 30 pounds of dog food last?
# Solution
| Synthetic | 6 |
0 | Unavailable | # Question
In a recent survey of 1000 people, 20% of the respondents reported that they were not worried about COVID-19. What is the number of people who were not worried about COVID-19?
# Solution
| Synthetic | 6 |
0 | Unavailable | # Question
A ship is 200 meters long. How many meters of rope is needed to tie the ship to the dock?
# Solution
| Synthetic | 6 |
0 | Unavailable | # Question
A farmer has 17 horses. If we assume that 1 horse dies every other day, how many days will it take for the farmer to be left with only one horse?
# Solution
| Synthetic | 6 |
0 | Unavailable | # Question
A company wants to build a new headquarters. The company has two options: one in the city center and one outside the city center. The company's CEO says that the headquarters should be built in the city center, as it will be more convenient for employees. However, the company's chief financial officer argues that the headquarters should be built outside the city center, as it will be cheaper. The company's board of directors is split on the issue. What should the company do?
# Solution
| Synthetic | 6 |
0 | Unavailable | # Question
A $5000$ bond pays $200$ at the end of the first year, $300$ at the end of the second year, and $100$ at the end of the third year. What is the simple interest rate of the bond?
# Solution
| Synthetic | 6 |
0 | Unavailable | # Question
How many different combinations of two colors can George choose from a set of seven colors to paint his room?
# Solution
| Synthetic | 6 |
0 | Unavailable | # Question
If a 200-foot rope is cut in half and then the smaller rope is cut in half, how many feet of rope is left?
# Solution
| Synthetic | 6 |
0 | Unavailable | # Question
If a student earns a total of 88 points in a class, what is the minimum grade the student can receive?
# Solution
| Synthetic | 6 |
0 | Unavailable | # Question
A hiker traveled 15 miles north and 5 miles west. What is the distance from the starting point to the end point?
# Solution
| Synthetic | 6 |
3 | 3 | # Question
A $\textit{composite number}$ is a number that has two or more prime factors. The number 87 can be expressed as the sum of two composite numbers in many ways. What is the minimum positive difference between two such numbers?
# Solution
| Number Theory | 3 |
0 | Unavailable | # Question
A woman bought a jar of jam and a box of cookies for $3.50. The jar of jam cost $0.75 more than the box of cookies. How much did each item cost?
# Solution
| Synthetic | 6 |
90^\circ | 90^\circ | # Question
Lines $l$ and $m$ are parallel to each other. $m\angle A = 120^\circ$, and $m\angle B = 150^\circ$. What is the number of degrees in $m\angle C$?
[asy]
size(100); real h = 1.2; currentpen = fontsize(10pt);
draw(Label("$l$",Relative(1)),(0,0)--(1,0),E);
draw(Label("$m$",Relative(1)),(0,-h)--(1,-h),E);
draw((0,-h)--h/2*(cos(150*pi/180),sin(150*pi/180)) + (0,-h));
draw(Label("$C$",Relative(1)),(0,0)--h*sqrt(3)/2*(cos(-120*pi/180),sin(-120*pi/180)),W);
label("$A$",(0,0),N); label("$B$",(0,-h),S);
label("$120^\circ$",(0,0),SE); label("$150^\circ$",(0,-h),NE);
[/asy]
# Solution
| Prealgebra | 3 |
52 | 52 | # Question
The trapezoid shown has a height of length $12\text{ cm},$ a base of length $16\text{ cm},$ and an area of $162\text{ cm}^2.$ What is the perimeter of the trapezoid? [asy]
draw((0,0)--(0,12)--(11,12)--(16,0)--cycle);
label("12 cm",(-1,6),W);
draw((0.8,0)--(0.8,0.8)--(0,.8));
draw((0,11.2)--(0.8,11.2)--(0.8,12));
label("16 cm",(8,-1),S);
[/asy]
# Solution
| Geometry | 3 |
0 | Unavailable | # Question
If $x = y$, then $x - y$ is equal to
# Solution
| Synthetic | 6 |
0 | Unavailable | # Question
A store is offering a discount of $25\%$ on all its goods. The price of a sweater is $30\%$ less than its original price. The price of the sweater after the discount is $50\%$ less than the original price of a pair of jeans. What is the total cost of a sweater and a pair of jeans?
# Solution
| Synthetic | 6 |
233 | 233 | # Question
The vertices $V$ of a centrally symmetric hexagon in the complex plane are given by \[V=\left\{ \sqrt{2}i,-\sqrt{2}i, \frac{1}{\sqrt{8}}(1+i),\frac{1}{\sqrt{8}}(-1+i),\frac{1}{\sqrt{8}}(1-i),\frac{1}{\sqrt{8}}(-1-i) \right\}.\]For each $j$, $1\leq j\leq 12$, an element $z_j$ is chosen from $V$ at random, independently of the other choices. Let $P={\prod}_{j=1}^{12}z_j$ be the product of the $12$ numbers selected.
The probability that $P=-1$ can be expressed in the form
\[\frac{a}{p^b},\]where $a,$ $b,$ $p$ are positive integers, $p$ is prime, and $a$ is not divisible by $p.$ Find $a + b + p.$
# Solution
| Intermediate Algebra | 5 |
0 | Unavailable | # Question
There are 5000 pounds of strawberries in total. If there are 300 pounds of strawberries and 400 pounds of blueberries, how many strawberries are there?
# Solution
| Synthetic | 6 |
0 | Unavailable | # Question
What is the area of a triangle with sides of lengths $5x + 2$, $3x - 1$, and $2x + 3$?
# Solution
| Synthetic | 6 |
0 | Unavailable | # Question
What is the least number of coins needed to make a payment of $5.76 if the coins available are $1.00, $0.50, $0.25, and $0.10?
# Solution
| Synthetic | 6 |
0 | Unavailable | # Question
If each student buys 4 books from the bookstore and there are 20 students, how many books will the bookstore sell in total?
# Solution
| Synthetic | 6 |
0 | Unavailable | # Question
A math teacher is planning to give a test with 100 questions. How many questions must be answered correctly to get a 90% on the test?
# Solution
| Synthetic | 6 |
0 | Unavailable | # Question
You are in a room with four switches. You are told that one of the switches will turn on a light in the next room. You are not allowed to enter the next room. You are allowed to flip any number of switches, but you are only allowed to flip each switch once. You are allowed to flip the same switch multiple times. How can you determine which switch turns on the light?
# Solution
| Synthetic | 6 |
0 | Unavailable | # Question
The cost of a subscription to a fitness app is $15 per month. The cost of a subscription to a music app is $10 per month. If a person subscribes to both apps, what is the total cost per month?
# Solution
| Synthetic | 6 |
0 | Unavailable | # Question
If 2000 milligrams of sodium is 2 grams, how many milligrams are there in 1 gram?
If we know the answer to the above question is 1000, what is the value of unknown variable x?
# Solution
| Synthetic | 6 |
0 | Unavailable | # Question
If a 5-year-old child grows 10 cm in the first year, how much will he or she grow in 20 years?
# Solution
| Synthetic | 6 |
0 | Unavailable | # Question
2015 was a common year that had 366 days. How many Sundays were there in that year?
# Solution
| Synthetic | 6 |
(5,\infty) | (5,\infty) | # Question
Find the domain of the function
\[h(x) = \frac{3x - 1}{\sqrt{x - 5}}.\]
# Solution
| Intermediate Algebra | 1 |
0 | Unavailable | # Question
If a number $n$ is greater than 1, is $n^4$ greater than $n^3$?
# Solution
| Synthetic | 6 |
0 | Unavailable | # Question
The table shows the number of jars of honey that a beekeeper has, along with the number of bees in each hive.
| Jar of Honey | Number of Bees |
| 1 | 10 |
| 2 | 12 |
| 3 | 13 |
| 4 | 15 |
| 5 | 18 |
| 6 | 21 |
How many bees are there in total?
# Solution
| Synthetic | 6 |
0 | Unavailable | # Question
When the temperature is 30°C, the water is boiling. What is the temperature when the water is at 40°C?
# Solution
| Synthetic | 6 |
\frac{9}{2} | \frac{9}{2} | # Question
Let $\mathbf{a},$ $\mathbf{b},$ and $\mathbf{c}$ be three vectors such that $\|\mathbf{a}\| = \|\mathbf{b}\| = \|\mathbf{c}\| = 2.$ Also, the angle between any two of these vectors is $\arccos \frac{5}{8}.$ Find the volume of the parallelepiped generated by $\mathbf{a},$ $\mathbf{b},$ and $\mathbf{c}.$
# Solution
| Precalculus | 5 |
0 | Unavailable | # Question
In the function machine shown, the input is 10. What is the output?
#Question#: A zoo has 16 pandas, paired into mates (in the same zoo). Only 25% of the panda couples get pregnant after mating. If they each have one baby, how many panda babies are born?
# Solution
| Synthetic | 6 |
9 | 9 | # Question
How many multiples of 10 are between 11 and 103?
# Solution
| Prealgebra | 1 |
0 | Unavailable | # Question
A number is 4 less than 8 times the number of a rectangle's area. If the number is 10, what is the area of the rectangle?
# Solution
| Synthetic | 6 |
0 | Unavailable | # Question
A rectangular cardboard box has a square base with an area of $900$ square centimeters. If the box has a volume of $6000$ cubic centimeters, what is its height in centimeters?
# Solution
| Synthetic | 6 |
6 | 6 | # Question
For real numbers $x > 1,$ find the minimum value of
\[\frac{x + 8}{\sqrt{x - 1}}.\]
# Solution
| Intermediate Algebra | 3 |
0 | Unavailable | # Question
If 5% of the total visitors go to the gorilla exhibit, how many visitors go to the gorilla exhibit in one day?
If we know the answer to the above question is 200, what is the value of unknown variable x?
# Solution
| Synthetic | 6 |
0 | Unavailable | # Question
There are 300000 people in the town. Everybody wants to buy a phone. There are 100000 phones available. How many people won't get a phone?
# Solution
| Synthetic | 6 |
2 | 2 | # Question
Find the value of
\[8\cos^210^\circ - \dfrac{1}{\sin 10^\circ}.\]
# Solution
| Precalculus | 2 |
0 | Unavailable | # Question
If $a \neq 0,$ then $b \neq 0$ and $c \neq 0.$
If $b = 0,$ then $c = 0.$
If $c = 0,$ then $b = 0.$
If $a = 0,$ then $b = 0$ and $c = 0.$
Is it possible for $a = 0$ and $b = 0$ but $c \neq 0?$
# Solution
| Synthetic | 6 |
0 | Unavailable | # Question
If a rectangular picture frame is 24 cm long and 30 cm wide, what is the length of the diagonal?
# Solution
| Synthetic | 6 |
0 | Unavailable | # Question
The average score of a student in 5 exams is 70. What is the average of the scores in the first 4 exams?
# Solution
| Synthetic | 6 |
12 | 12 | # Question
Determine the sum of the $y$-coordinates of the four points of intersection of $y = x^4 - 5x^2 - x + 4$ and $y = x^2 - 3x.$
# Solution
| Intermediate Algebra | 5 |
4 | 4 | # Question
The number of inches in the perimeter of a square is equal to the number of square inches in its area. Find the length, in inches, of a side of the square.
# Solution
| Prealgebra | 2 |
1951 | 1951 | # Question
The inhabitants of the island of Jumble use the standard Roman alphabet (26 letters, A through Z). Each word in their language is 3 letters, and for some reason, they insist that all words contain the letter A at least once. How many 3-letter words are possible?
# Solution
| Counting & Probability | 3 |
0 | Unavailable | # Question
A shop sells $2$ types of vegetables. The first type costs $5$ dollars per kg and the second type costs $7$ dollars per kg. If the shop sold a total of $100$ kg of vegetables, how much did it earn?
# Solution
| Synthetic | 6 |
0 | Unavailable | # Question
A man is driving to work. He travels 15 miles per hour on the highway and 30 miles per hour in the city. He takes a route that is 35 miles long. How many minutes does it take him to get to work?
# Solution
| Synthetic | 6 |
0 | Unavailable | # Question
A 2-liter bottle of juice contains 80% fruit juice. A 4-liter bottle of juice contains 60% fruit juice. What percent of the fruit juice is in both bottles?
If we know the answer to the above question is 30, what is the value of unknown variable x?
# Solution
| Synthetic | 6 |
\text{(C)} | \text{(C)} | # Question
The line with equation $y = x$ is an axis of symmetry of the curve with equation
\[y = \frac{px + q}{rx + s},\]where $p,$ $q,$ $r,$ $s$ are all nonzero. Which of the following statements must hold?
(A) $p + q = 0$
(B) $p + r = 0$
(C) $p + s = 0$
(D) $q + r = 0$
(E) $q + s = 0$
(F) $r + s = 0$
# Solution
| Intermediate Algebra | 4 |
(9, 3) | (9, 3) | # Question
The points $A(2,5), B(6,5), C(5,2)$ and $D(1,2)$ are the vertices of a parallelogram. If the parallelogram is translated down 2 units and right three units, what will be the coordinates of the final image of point $B$?
# Solution
| Geometry | 2 |
0 | Unavailable | # Question
A student has 12 books in their backpack. If they take out 5 books, how many books will they have left?
# Solution
| Synthetic | 6 |
0 | Unavailable | # Question
A class of x students is taking a test. Of the students who answered a question correctly, 75% answered another question correctly. Of the students who answered a question incorrectly, 50% answered another question correctly. If 75% of the students answered a question correctly, what is the value of unknown variable x?
# Solution
| Synthetic | 6 |
0 | Unavailable | # Question
A company that produces mobile phones has two models: the H7 and the S9. The H7 has a profit margin of $20 per unit, while the S9 has a profit margin of $30 per unit. The company has sold 10,000 units of the H7 and 2,000 units of the S9. What is the total profit for the company?
# Solution
| Synthetic | 6 |
0 | Unavailable | # Question
What is the remainder when $1234567 \times 1234567 \times 1234567$ is divided by 1000000000?
# Solution
| Synthetic | 6 |
0 | Unavailable | # Question
If you make a deposit of $5000 into an account paying 5% annual interest compounded monthly, how much will you have after 10 years?
# Solution
| Synthetic | 6 |
0 | Unavailable | # Question
Olaf is sailing across the ocean with 25 men, including himself. He needs 1/2 a gallon of water per day per man. The boat can go x miles per day and he needs to travel 4,000 miles. How many gallons of water does he need?
# Solution
| Synthetic | 6 |
0 | Unavailable | # Question
Find the greatest number that divides 435 and 1635 leaving a remainder of 15 in each case.
# Solution
| Synthetic | 6 |
0 | Unavailable | # Question
The average (arithmetic mean) of 5 numbers is 12. The average of 4 of those 5 numbers is 10. What is the value of the fifth number?
#Question#: If 100 people have tickets to a baseball game, and 20 of those people have to leave because of bad weather, what percent of the original number of people were able to stay?
# Solution
| Synthetic | 6 |
5 | 5 | # Question
Find $n$ if $n\cdot n! + n! = 720$, where $n! = n\cdot (n-1)\cdot (n-2)\cdots 2\cdot 1$.
# Solution
| Counting & Probability | 1 |
0 | Unavailable | # Question
The number of employees in a factory is 1065, and 25% fewer workers are hired. How many employees are there now in the factory?
# Solution
| Synthetic | 6 |
0 | Unavailable | # Question
A store sells the following items:
- A pair of jeans for $20.
- A shirt for $15.
- A pair of shoes for $30.
- A belt for $5.
- A wallet for $10.
- A tie for $12.
A customer wants to buy exactly 3 items, and the total cost of the items must be at least $60. How many possible combinations of items can the customer buy?
# Solution
| Synthetic | 6 |
0 | Unavailable | # Question
A video game costs $50. If a store sells the game for 25% off, what is the price of the video game after the discount?
# Solution
| Synthetic | 6 |
0 | Unavailable | # Question
A car can travel 150 kilometers on a liter of fuel, and the current price of fuel is $3 per liter. What is the maximum distance that the car can travel if the driver has $200 to spend on fuel?
# Solution
| Synthetic | 6 |
0 | Unavailable | # Question
A certain number of people are participating in a tournament. The first round has 4 people in each match. In the second round, the winners of the first round play each other in matches with 2 people. If the total number of people who participated in the tournament is 32, how many people won their first round match?
# Solution
| Synthetic | 6 |
0 | Unavailable | # Question
Moe is a real estate agent. He just sold a house to his client, Curly, for x thousand dollars. Curly has been buying houses for a long time, and he knows that the average house price in his neighborhood is $150,000. He thinks Moe is overcharging him. When Moe tells him that the average price of houses in the neighborhood is $150,000, Curly is furious and storms out of the house. Moe sold the house for 110% of the average house price. What is the value of unknown variable x?
# Solution
| Synthetic | 6 |
0 | Unavailable | # Question
A cube has a volume of 125 cm3. What is the length of the cube's edge?
# Solution
| Synthetic | 6 |
0 | Unavailable | # Question
A man invests $\$10,000$ in a mutual fund. The mutual fund gains $20\%$ annually for the first year and $15\%$ annually for the second year. What is the total amount of money in the mutual fund after the two years?
# Solution
| Synthetic | 6 |
0 | Unavailable | # Question
What is the greatest number that can be formed by using the digits 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9?
# Solution
| Synthetic | 6 |
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