bIueb3rry

58 Questions
15 Answers

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Algebra

If I give my brother $5$ dollars, then we will have the same amount of money. If instead he gives me $10$ dollars, then I'll have twice as much money as he will have. How much money does my brother currently have (in dollars)?

bIueb3rry 9 hours ago

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Algebra

Five times a number is divided by $2$ more than that number. If the result is $6,$ then what was the original number?

bIueb3rry 9 hours ago

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Algebra

Find all values of $a$ that satisfy the equation
\frac{a}{3} + 1 = \frac{a + 3}{a} - \frac{a^2 + 2}{a}.

bIueb3rry 9 hours ago

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Algebra

A line passes through the points A, B, and C. Find y.
A = (-7,2), B = (8,-14), C = (10,y)

bIueb3rry 4 nov 2024

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Algebra

Find the equation whose graph is shown below. Write your answer in standard form.
(Standard form is $Ax+By = C$, where $A$ is positive, and $A$, $B$, and $C$ are integers with greatest common divisor $1$.)

bIueb3rry 4 nov 2024

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Geometry

Points $L$ and $M$ lie on a circle $\omega_1$ centered at $O$. The circle $\omega_2$ passing through points $O,$ $L,$ and $M$ is drawn. If the measure of arc $LM$ in circle $\omega_1$ is $90^\circ,$ and the radius of $\omega_1$ is 1, then find lee mas ..

bIueb3rry 4 nov 2024

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Number Theory

Find the 4000th digit following the decimal point in the expansion of \frac{1}{17}.

bIueb3rry 29 oct 2024

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Number Theory

How many bases b \ge 2 are there such that 100_b + 1_b is prime?

bIueb3rry 29 oct 2024

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Number Theory

Let $p$ be a prime. What are the possible remainders when $p$ is divided by $17?$ Select all that apply.

bIueb3rry 29 oct 2024

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Algebra

Find all values of $a$ such that $\frac{a-3}{\sqrt{a}} = a$.

bIueb3rry 25 oct 2024

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Algebra

A plane flies from Penthaven to Jackson and then back to Penthaven. When there is no wind, the round trip takes $5$ hours and $20$ minutes, but when there is a wind blowing from Penthaven to Jackson at $70$ miles per hour, the trip takes $9$ hours. How lee mas ..

bIueb3rry 25 oct 2024

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Algebra

All members of our painting team paint at the same rate. If $20$ members can paint a $1500$ square foot wall in $30$ minutes, then how long would it take 15 members to paint a $1200$ square foot wall, in minutes?

bIueb3rry 25 oct 2024

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Algebra

Will and Grace are canoeing on a lake. Will rows at $50$ meters per minute and Grace rows at $30$ meters per minute. Will starts rowing at $2$ p.m. from the west end of the lake, and Grace starts rowing from the east end of the lake at $2{:}45$ p.m. lee mas ..

bIueb3rry 25 oct 2024

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Algebra

At a math convention, a poll is taken about cable news. It turns out that $5$ out of every $8$ people are bored by cable news. If there are $120$ people at the convention, then how many people at the convention are bored by cable news?
<lee mas ..

bIueb3rry 25 oct 2024

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Algebra

All members of our painting team paint at the same rate. If 20 members can paint a 2000 square foot wall in 40 minutes, then how long would it take the 20 members to paint a 6000 square foot wall, in minutes?

bIueb3rry 25 oct 2024

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Algebra

I have to paint one side of a wall. The wall is 12 meters tall and 120 meters long. Each gallon of paint covers 150 square feet. If a foot is approximately 0.3048 meters, then what is the smallest whole number of gallons lee mas ..

bIueb3rry 25 oct 2024

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Algebra

I have to paint one side of a wall. The wall is 12 meters tall and 120 meters long. Each gallon of paint covers 150 square feet. If a foot is approximately 0.3048 meters, then what is the smallest whole number of gallons lee mas ..

bIueb3rry 25 oct 2024

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Algebra

At a cafeteria, Mary orders two pieces of toast and a bagel, which comes out to $3.15. Gary orders a bagel and a muffin, which comes out to $3.50. Larry orders a piece of toast, two bagels, and three muffins, which comes out to $8.15. How many cents does lee mas ..

bIueb3rry 25 oct 2024