All Questions ⁺⁰231330 Questions

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191

1

Hard number theory

If m and n are positive integers where m^2 + 14m - 32 = 2n^3 + 3, what is the value of m + n?

Guest Jul 9, 2022

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135

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Two variables

If 2a + 5b = 5 and a is equal to three times b plus 7, what is 3a?

Guest Jul 9, 2022

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227

2

Geometry

An equilateral triangle and a square both have perimeters of 48 inches. What is the ratio of the area of the triangle to the area of the square? Express your answer as a common fraction.

Guest Jul 9, 2022

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235

7

need help with this

For what ordered pair (a,b) are there infinite solutions (x,y) to the system
2ax + 2y = b
5x + y = -3 - x + 4y

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Guest Jul 9, 2022

0

224

2

+50

Spelling mistake

When you submit an answer it says "I’am not a robot" but it doesn't make sense. Can we fix this?

BigBrain Jul 9, 2022

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134

0

Linear equations

If 5 = -4b + 5 and 3a = -2b + 3 + 6b, what is b?

Guest Jul 9, 2022

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135

0

Algebra

Let x > 0 and y > 0. Suppose that xy^2 = 6 and x^2*y^6 = 72xy. What is the value of xy? Express your answer in simplest radical form.

Guest Jul 9, 2022

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245

1

Ordered Pairs

If $4u-5v=23$ and $2u+4v=-8$, find the value of $u+v$.

Guest Jul 9, 2022

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203

1

Linear equations

For what value of t does the equation 3x - 2x + 5 - 6 = 9 + t + x + 7x - 8 have infinitely many solutions x?

Guest Jul 9, 2022

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207

3

I'm Stuck

Solve the following system of equations:\begin{align*} 3x-5y&=-11,\\ 7x+2y&=-12. \end{align*}Express your answer as an ordered pair $(x,y).$

Guest Jul 9, 2022

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210

1

Quadratic

The quadratic polynomial p(x) = ax^2 + bx + c has positive integer coefficients a, b and c that each have a value from 1 to 9, inclusive. To eight decimal places, the solutions to p(x) = 0 are x = -0.18858048 and x = -0.58919729. read more ..

Guest Jul 9, 2022

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221

1

Probability

A bag has 4 red marbles, 5 white marbles, 6 blue marbles, and 7 green marbles. Three marbles are drawn from the bag (without replacement). What is the probability that they are all the same color?

Guest Jul 9, 2022

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224

3

Hard Problem

For what value of the constant $a$ does the system of equations below have infinitely many solutions?\begin{align*} 2x + 5y &= -8,\\ 6x &= 16 + a - 15y \end{align*}

Guest Jul 9, 2022

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137

0

Algebra

Let f(x) = 3x + 2 and g(x) = ax + b, for some constants a and b. If ab = 200 and f(g(x)) = g(f(x)) for x = 0, 1, 2, ..., 9, find the sum of all possible values of a.

Guest Jul 9, 2022

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167

1

Primes

What is the least prime number greater than 25 that will have a remainder of 2 when divided by 28?

Guest Jul 9, 2022

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126

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graphing question

What is the smallest distance between the origin and a point on the graph of

Guest Jul 9, 2022

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172

1

help

A pancake recipe asks for two and one third times as much milk as flour. If three and one half cups of milk is used, what quantity of flour would then be needed, according to the recipe?

Guest Jul 9, 2022

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182

1

Exponents

If 3^(x + y) = 81 and 81^(x - y) = 9,then what is the value of the product xy? Express your answer as a common fraction.

Guest Jul 9, 2022

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205

1

help counting

How many numbers can be expressed as the sum of two or more distinct elements of the set {0,1,2,3,4,...,16}?

Guest Jul 9, 2022

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229

6

Counting

How many sequences of seven positive integers

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Guest Jul 9, 2022

Jul 8, 2022

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227

0

math problem

John inserts some number of parentheses into the expression shown to create a valid mathematical expression. What is the smallest possible integer value of John's expression?

1 + 2 * 3 + 4

Guest Jul 8, 2022

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220

3

plz help

how am i supposed to write the repeted root of (5x-3)^2?

Guest Jul 8, 2022

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146

0

Coordinates

A convex polygon has vertices at the points (2, 0), (1, 0), (-2, 5) and (-2, 4). What is the area of the polygon?

Guest Jul 8, 2022

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224

1

Primes

Goldbach's conjecture states that every even number greater than two can be expressed as the sum of two prime numbers. For example, 2022 = 191 + 1831. How many ordered pairs of prime numbers have a sum of 100?

Guest Jul 8, 2022

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