All Questions ⁺⁰230434 Questions

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271

2

hard probability problem

Let Three subsets of are chosen at random. Find the probability that

just means all elements of are elements of and all elements of are elements of read more ..

Guest Sep 12, 2021

0

262

1

Number Theory

If x^3 is a positive factor of 10!*11!, how many possible integer values of x are there?

Guest Sep 12, 2021

0

358

1

+176

Assist pls

Jervin, Ken and Leon shared the cost of a gift for their friend. 1/5 of Jervin's and Leon's share was equal to 2/3 of Ken's share. 3/4 of Leon's share was equal to 1/3 of Jervin's and Ken's share. Leon paid $5 more than Ken. How much did the gift cost? read more ..

Whayousayy Sep 12, 2021

0

400

4

+45

Polynomials

Let a > 0, and let P(x) be a polynomial with integer coefficients such that, P(1) = P(3) = P(5) = P(7) = a and P(2) = P(4) = P(6) = P(8) = -a. What is the smallest possible value of a?

calicokittycat Sep 12, 2021

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231

1

Number Theory

What is the sum of the smallest and second-smallest positive integers satisfying the congruence 27a = 40 (mod 43)?

Guest Sep 12, 2021

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347

2

Algebra

For what value of the constant a does the system of equations below have infinitely many solutions?

2x + 5y = -18
6x = a - 15y read more ..

Guest Sep 12, 2021

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209

0

Probability

Two real numbers are chosen at random between 0 and 2. What is the probability that the sum of their squares is no more than 1? Express your answer as a common fraction in terms of pi.

Guest Sep 12, 2021

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240

1

Help probability

Two different 2-digit numbers are randomly chosen and multiplied together. What is the probability that the resulting product is a multiple of 10?

Guest Sep 12, 2021

0

317

1

+14

perfect squares

Let S be a subset of {1, 2, . . . , 500} such that no two distinct elements of S have a product that is a perfect square. Find the maximum possible number of elements in S.

broww Sep 12, 2021

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298

2

+14

Hard combo question

Find, with proof, the minimum positive integer n with the following property: for any coloring of the integers {1, 2, . . . , n} using the colors red and blue (that is, assigning the color “red” or “blue” to each integer in the set), there exist distinct read more ..

broww Sep 12, 2021

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189

0

Quadratic

If the quadratic 3x^2 + bx + 24 can be written in the form a(x + m)^2 + n, where m and n are integers, what is the largest integer that must be a divisor of b?

Guest Sep 12, 2021

0

242

1

Probability

In how many ways can a total of 15 be obtained if 5 distinguishable standard dice are rolled?

Guest Sep 12, 2021

0

188

0

help Function

Suppose a function f(x) has domain (-inf,inf) and range [-11,3]. If we define a new function by
g(x) = 6f(x/2) + 1
then what is the range of g(x)? Express your answer in interval notation.

Guest Sep 12, 2021

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228

1

fraction

Guest Sep 12, 2021

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369

1

Algebra

Let x and y be real numbers such that xy=9 Find the set of all possible values of x+y

Guest Sep 12, 2021

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251

1

Quadratic

For how many integer values of a does the equation x^2 + ax + 28a = 0 have integer solutions for x?

Guest Sep 12, 2021

Sep 11, 2021

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555

1

Algebra

The roots of the quadratic equation z^2 + bz + c = 0$ are -7 + 2i and -2i + 7. What is b+c?

Guest Sep 11, 2021

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334

1

Probability

The digits from 1 to 6 are arranged to form a six-digit multiple of 5. What is the probability that the number is greater than 500,000 and even? Express your answer as a common fraction.

Guest Sep 11, 2021

0

293

1

Yes can you teach me faster

Amy decided to make 5 dozen cookies for the Just Because Festival at her school. The recipe called for 1/3 of a cup of chips for each cup of flour used. If Amy uses 5 2/3 cups of flour, how many cups of chips will she need?

Guest Sep 11, 2021

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313

1

Ratio

If x:y = 2:5, find the value of (-x+3y):(2x+y)

Guest Sep 11, 2021

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253

1

Algebra

If a and b satisfy

2a/(a - 2b) - 6b/(a + 2b) = 3
read more ..

Guest Sep 11, 2021

0

256

1

help math

Triangle ABC has vertices A (0,0), B (0,3), C(5,0). A point P inside the triangle is sqrt(10) units from point A and sqrt(5) units from point B. How many units is P from point C? Express your answer in simplest radical form. read more ..

Guest Sep 11, 2021

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554

1

Help Please

What is the number of square centimeters in the shaded area? (The 10 represents the hypotenuse of the white triangle only, and all lengths in the diagram are in cm.)
read more ..

Guest Sep 11, 2021

0

318

1

Algebra

Gabrielle is 13 years older than Mikhail. the sum of their ages is 113. what is mikhails age?

Guest Sep 11, 2021

0

301

1

Probability question

one card is drawn at random from the number cars number from 10 to 21 find the probability that the card may be a prime or even numbered card or multiple of 3.

Guest Sep 11, 2021

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