All Questions ⁺⁰236361 Questions

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293

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Number Theory

The expression 120!/(60!*60!) is an integer. What is the largest integer n such that 7^n divides this integer?

Guest Apr 29, 2022

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203

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Urgent question

I need to know.

Guest Apr 29, 2022

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178

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Integers

There are exactly four positive integers such that (n + 1)^2/(n + 27) is an integer. Compute the largest such n.

Guest Apr 29, 2022

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226

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tricky greo prob!

Let G be the center of equilateral triangle XYZ. A dilation centered at G with scale factor -3/4 is applied to triangle XYZ to obtain triangle X'Y"Z. Let A be the area of the region that is contained in both triangles XYZ and X'Y"Z Find A/[XYZ]. read more ..

Guest Apr 29, 2022

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336

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how many perfect squares less than 1,000 have units digit 2

How many perfect squares below 1,000 have units digit 2

Guest Apr 29, 2022

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170

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Integers

If 1 <= a <= 50 and 1 <= b <= 50, for how many ordered pairs of integers (a,b) is sqrt(a + sqrt(b)) an integer?

Guest Apr 29, 2022

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285

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Probability

Given that a and b are real numbers such that -3 ≤ a ≤ 2 and -1 ≤ b ≤ 4, and values for a and b are chosen at random, what is the probability that product a*b is positive?

Guest Apr 29, 2022

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286

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Algebra

If $\frac{2}{3}\cdot\frac{3}{4}\cdot\frac{4}{5}\cdot...\cdot\frac{n}{n+1} = \frac{1}{10}$, what is the sum of the numerator and denominator of the largest fraction on the left side of the equation?

Guest Apr 29, 2022

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281

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Three consecutive positive odd integers

Three consecutive positive odd integers a,b and c satisfy b^{2}-a^{2}= and c^{2}-b^{2}>0. What is the value of c^{2}-b{^2}?

Guest Apr 29, 2022

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249

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Base Numbers

How many 4-digit numbers are there in base 6?

Guest Apr 29, 2022

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292

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math problem

If y and x are positive integers such that 5x+3y=, what is the greatest possible value of xy?

Guest Apr 29, 2022

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277

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Trapezoid

Trapezoid ABCD has bases AB and CD. Find x.

Guest Apr 29, 2022

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178

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Trapezoid

Trapezoid ABCD has bases AB and CD. Line segment EF, which is parallel to the bases, divides trapezoid ABCD into two trapezoids of equal area. Find the length EF.

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Guest Apr 29, 2022

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287

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Impossible Geoemtry

Help pls!
Hard problem of triangle!

Guest Apr 29, 2022

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282

1

Solve please

Two containers designed to hold water are side by side, both in the shape of a cylinder. Container A has a diameter of 20 feet and a height of 16 feet. Container B has a diameter of 18 feet and a height of 18 feet. Container A is full of water and the water read more ..

Guest Apr 29, 2022

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257

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Coordinates

Find the area of a polygon formed by the lines y=-2x+8, x+y=2, x-axis, and the y-axis.

Guest Apr 29, 2022

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176

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Coordinates

Two black lines pass through the origin, as shown below. If their slopes are and , then find the slope of the red line that bisects the acute angle between these lines.

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Guest Apr 29, 2022

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185

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Algebra

Richard needs to fly from San Diego to Halifax, Nova Scotia and back in order to give an important talk about mathematics. On the way to Halifax, he will get a speed boost from the wind which blows at 50 miles per hour (mph). On the way back, the plane read more ..

Guest Apr 29, 2022

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279

2

triangles

The centroid of ABC is G. Find BG.

Guest Apr 29, 2022

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275

2

Tricky geometry probs!

1. Let G be the center of equilateral triangle XYZ. A dilation centered at G with scale factor -3/4 is applied to triangle XYZ to obtain triangle X'Y'Z'. Let A be the area of the region that is contained in both triangles XYZ and X'Y'Z. Find A/[XYZ] read more ..

Guest Apr 29, 2022

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172

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Polynomial

Suppose g(x) is a polynomial of degree five for which g(1) = 2, g(2) = 4, g(3) = 8, g(4) = 16, g(5) = 32, and g(6) = 64. Find g(0)

Guest Apr 29, 2022

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223

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+344

logarithms

19 = logbas2(c)+ln(e)+2c^2. find c

hipie Apr 29, 2022

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276

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coordinates

The line y = 3x - 10 intersects a circle centered at the origin at A and B. We know the lenght of chord AB is . Find the area of the circle.

Guest Apr 29, 2022

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191

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3d geometry

A rectangular prism has a total surface area of 56. Also, the sum of all the edges of the prism is . Find the length of the diagonal joining one corner of the prism to the opposite corner.

Guest Apr 29, 2022

-1

166

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Geometry

Sides of an obtuse triangle AB, BC, and AC have midpoints E, F, and D. G is the point of intersection of all 3 medians.
If AB = 7, BC = 9, and BG = 3 then what's the length of AC? (AC is the longest side)

Guest Apr 29, 2022

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