All Questions ⁺⁰237726 Questions

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308

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When teams of same size are formed from three groups of 512, 430 and 489

When teams of same size are formed from three groups of 512, 430 and 489 students separate 8, 10 and 9 students respectively are left over. What could be the largest size of the team?
A. 6
B. 12
C. 18
D. 60 read more ..

Guest Jun 5, 2022

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288

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System

If w, x, y, and z are real numbers satisfying:
w+x+y = -2
w+x+z = -4
w+y+z = 19 read more ..

Guest Jun 5, 2022

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322

3

Piecewise & Inverse Functions Problem

Let be defined by

Calculate . read more ..

Guest Jun 5, 2022

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302

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Parabola

The vertex of a parabola is at (12,-4) and its axis of symmetry is vertical. One of the x-intercepts is at (18,0). What is the x-coordinate of the other x-intercept?

Guest Jun 5, 2022

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216

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Inequality problem

If -5 <= a <= -2 and 2 <= b <= 5, what is the least possible value of (a + b)/(a - b)? Express your answer as a common fraction.

Guest Jun 5, 2022

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336

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Help please

Let $a\star b = ab+2b-a$. If $5\star x = 37$, find the value of $x$.

Guest Jun 5, 2022

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363

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Complex number geo

The equation of the line joining the complex numbers -5+4i and 7+2i can be expressed in the form
az + b \overline{z} = 38
for some complex numbers a and b. Find the product ab.

Guest Jun 5, 2022

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201

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Algebra

The quadratic equation 2x^2 + bx + 18 = x^2 + 2 has a double root. Find all possible values of $b.$

Guest Jun 5, 2022

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256

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Arithmetic sequence

The sum of the first three terms of an arithmetic sequence is 39, and the sum of the last four terms is 178. If the first term is 10, then what is the average of all the terms?

Guest Jun 5, 2022

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267

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Algebra

The roots of 7x^2 + x - 5 = 5x^2 - 3x are a and b. Compute (a - 4)(b - 4).

Guest Jun 5, 2022

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301

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help algebra

Let u and v be the solutions to 3x^2 + 5x + 7 = x^2 + 4x. Find u/v + v/u.

Guest Jun 5, 2022

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219

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Function

Let f be defined by
f(x) = 3 - x if x <= 3
f(x) = -x^3 + 2x^2 + 3x if x > 3
read more ..

Guest Jun 5, 2022

Jun 4, 2022

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292

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+37

Finding this number

This is a number between 187800 and 187900, it has 3 prime factors, the sum of its digits is 35, what's the number?

GP72022a Jun 4, 2022

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308

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Base numbers

Find 1_6 + 2_6 + 3_6 + \cdots + 45_6 + 50_6 + 51_6. Express your answer in base 6.

Guest Jun 4, 2022

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265

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Number Theory

What is the smallest whole number that has a remainder of 1 when divided by 4, a remainder of 2 when divided by 3, and a remainder of 2 when divided by 5?

Guest Jun 4, 2022

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266

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Number Theory

What is the unique three-digit positive integer satisfying 100x = 11 (mod 997)

Guest Jun 4, 2022

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271

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Number Theory

what is the modular inverse of 11 + 2 , modulo 1000?
Express your answer as an integer from 0 to 999 , inclusive.

Guest Jun 4, 2022

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210

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Range

Given that f(x) = pi^x + x^pi + 2^x + x^2, what is the range of f(x) on the interval [0, ∞)?
Give your answer in interval notation.

Guest Jun 4, 2022

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285

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Math rate

Jack and Gary started jogging from point A to point B at the same time. When Jack reached point B in 2 hours, Gary had only completed 90% of the journey. Given than the speed difference between Jack and Gary was 0.8 km/h, find the distance from point A read more ..

Guest Jun 4, 2022

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263

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Algebra

Each gallon of paint covers 200 square feet. I have to paint one side of a wall that is 12 meters tall and 250 meters long. If a foot is approximately 0.3048 meters, then what is the smallest whole number of gallons I can buy and have enough paint read more ..

Guest Jun 4, 2022

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302

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Not a math question but wheres chris (cphil)

I noticed lately that CPhill, the mod, hasn't been on. Its been a month and he still isn't inactive. A couple months ago, the same thing happened, but rumors said he was writing the digits of pi. (?) However CPhill is once again inactive and not solving read more ..

Guest Jun 4, 2022

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254

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Help

A farmer had 80 chickens and rabbits. There are a total of 250 legs. How many chickens are there? How many rabbits are there?

Guest Jun 4, 2022

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216

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geometry

Allie and Ezra are sitting on flagpoles, throwing beanbags at each other. Allie's flagpole is 35 feet tall. Ezra's flagpole is 27 feet tall. The flagpoles stand 18 feet apart. How far, in feet, does Ezra have to throw a beanbag to reach Allie? read more ..

Guest Jun 4, 2022

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210

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help algebra

The expression 6y^2 - y - 15 can be rewritten as A(y - B)(y - C). Find A + B + C.

Guest Jun 4, 2022

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