All Questions ⁺⁰237687 Questions

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355

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math problem

For how many three-element sets (order doesn't matter) of positive integers {a,b,c} is it true that abc = 2310 (The positive integers a, b, and c are distinct.)

Guest Jan 6, 2022

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335

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Geometry

Triangle ABC is a right triangle with BAC = 90 and angle B > angle C. Suppose AP is an altitude of the triangle, AQ is an angle bisector of the triangle, and AR is a median of the trianlge, and $\angle PAQ = 15^\circ$. If P is on BQ, then what is the read more ..

Guest Jan 6, 2022

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355

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help plz

I have 10 distinguishable socks in my drawer: 4 white, 4 brown, and 2 blue. In how many ways can I choose a pair of socks, provided that at least of them is white?

Guest Jan 6, 2022

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277

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Algebra

If the product (3x^2 - 5x + 4)(7 - x) can be written in the form ax^3 + bx^2 + cx + d, where a,b,c, and d are real numbers, then find 8a + 4b + 2c + d.

Guest Jan 6, 2022

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255

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Number Theory

In the equation 1/j + 1/k = 1/3 + 1/4 , both j and k are positive integers. What is the sum of all possible values for k?

Guest Jan 6, 2022

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292

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help counting

How many 9 step paths are there from E to G which pass through F?

Guest Jan 6, 2022

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378

1

Exponential Functions

The function f(x) = ax^r satisfies f(2) = 1 and f(128) = 5. Find r.

Guest Jan 6, 2022

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272

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Algebra

When x^4 + ax^3 + bx +c is divided by (x–1), (x+1), and (x+2), the remainders are 14, 0, and –18 respectively. Find the values of a, b, and c.

Guest Jan 6, 2022

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381

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Proportion

If j and k are inversely proportional and j = 42 when k = 56 , what is the value of j when k = 98?

Guest Jan 6, 2022

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341

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Number Theory

For each positive integer n, let S(n) denote the sum of the digits of n. How many three-digit n's are there such that n + S(n) = 0 (mod 9)?

Guest Jan 6, 2022

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407

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Algebra

$x = 1 + \cfrac{\sqrt{3}}{1 + \cfrac{\sqrt{3}}{1 + \dotsb}}$. Find $\frac{1}{(x + 1)(x - 2)}$. When your answer is in the form $\frac{A + \sqrt{B}}{C}$, where $A$, $B$, and $C$ are integers, and $B$ is not divisible by the square of a prime,

Guest Jan 6, 2022

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453

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PLEASE HELP ME

Last year at a certain high school, there were 150 boys on the honor roll and 150 girls on the honor roll. This year, the number of boys on the honor roll increased by 24% and the number of girls on the honor roll increased by 6%. By what percentage did read more ..

Guest Jan 6, 2022

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385

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im so CONFUSEDD

Before hertrip to Hong Kong, Oga exchanged C$500 for HK$3287. About how many Hong Kongdollars did Oga receive for each Canadian dollar?

like tf does that mean

Guest Jan 6, 2022

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374

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Graphing problem

What is the smallest distnace between the origin and a point on the graph of $y = \frac{1}{\sqrt{2}} (x^2 - 18)$?

Guest Jan 6, 2022

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384

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Counting

There are 97 students in South High School. South High School offers only Chinese and Spanish. There are $5$ more students in Chinese than Spanish, and every student takes at least one language. If $27$ students take only Spanish, then read more ..

Guest Jan 6, 2022

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359

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Need Help

If you multiply 'a' by the sum of 'a' and 'b', you get 30. If now a + (a * b) = 30, now a * b = a + (a * b) - a². Solve for non-negative integers 'a' and 'b'.

Guest Jan 6, 2022

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370

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It is math

Mr. Waffle is a circus clown. He starts the day with seventy-seven pieces of candy. At the end of the day, he has given away 318 pieces of candy. How many more pieces of candy did he have to get, in addition to his original seventy-seven, to be able read more ..

Guest Jan 6, 2022

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342

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percentage

The school nurse made a presentation about smoking to the 7th grade class. She said that smoking hurts your health. She said it also hurts your pocket! She said that a pack if cigarettes costs about $5.48 plus 9% sales tax. How much would a person spend read more ..

Guest Jan 6, 2022

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392

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Probability

3 six-sided diceare rolled. What is the probability that the product is 12?

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368

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Binomial

What is the sum of all possible values of k for which x^2 + kx - 9x + 25 + 4x + 11 is the square of a binomial?

Guest Jan 6, 2022

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313

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Quadratic equations

When given the quadratic equation with integer roots: mx^2 - (m-2)x + m - 8 = 0
What's the value of integer parameter m? And what are the integer roots?

Guest Jan 6, 2022

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342

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Halp

The line segment connecting $(-2,7)$ and $(3,11)$ can be parameterized by the equations

\begin{align*}
x &= at + b, \\
y &= ct + d,
\end{align*}
read more ..

Guest Jan 6, 2022

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315

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Quadratic

What real value of produces the smallest value of the quadratic t^2 - 9t - 36 + 7t - 20?

Guest Jan 6, 2022

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384

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Counting

The Grammar club has 20 members: 10 boys and 10 girls. A 4-person committee is chosen at random. What is the probability that the committee has at least 1 boy?

Guest Jan 6, 2022

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324

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Number Theory

How many positive five-digit numbers are divisible by each of 7, 8, 9, 10, and 11?

Guest Jan 6, 2022

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