All Questions

318

Sum

What is the sum of all the five-digit positive integers in which each of the digits 1, 2, 3, 5 and 8 appear exactly once?

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Guest Jul 8, 2022

214

The number of real solutions of the equation log0.5 x = |x| is

Guest Jul 8, 2022

438

Algebra

The Heronian mean H(a, b) is defined as H(a, b) = (a + sqrt(ab) + b)/3. What is the least positive integer b > 4 such that H(4,b) is also a positive integer?

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Guest Jul 8, 2022

276

Binomial

Find a so that ax^2 + 15x + 4 + 3x + 5 is the square of a binomial.

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Guest Jul 8, 2022

232

Stats

This chart shows the number of each type of organism collected by a team of entomologists. Insects always have six legs and worms always have zero legs. Arachnids usually have eight legs, but occasionally there are arachnids with six legs. A millipede read more ..

Guest Jul 8, 2022

293

geometry

Fyodor and his three sons, Ivan, Dmitri and Alyosha, are standing exactly on the corners of a rectangular room. Fyodor is 8 meters from Dmitri and 15 meters from Ivan. What is the minimum possible distance that Fyodor could be from Alyosha, in read more ..

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Guest Jul 8, 2022

300

Algebra

A gardener uses exactly 500 feet of fencing to completely enclose a rectangular area in her backyard. If the width of her garden is 60 feet less than the length, what will be the area of her garden, in square feet?

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Guest Jul 8, 2022

276

Number Theory

The number 345,600 can be expressed as 2^a*3^b*5^c for integers a, b and c. What is the value of the product abc?

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Guest Jul 8, 2022

244

geometry

Three circles are pairwise externally tangent, as shown below. The circles have radii of 1 meter, 2 meters and 4 meters. In square meters, what is the area of the polygon formed by connecting the centers of the circles?
read more ..

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Guest Jul 8, 2022

310

math problem

Zander, Ailey and Liz are partners in a babysitting business. Zander and Ailey, the elder two, charge 7/4 times as much as Liz, the youngest. Each of the partners in the business puts 8% of their earnings into the business for expenses. Last week, read more ..

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Guest Jul 8, 2022

-1

306

1 minus 32 over 100

1-32 over 100

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Guest Jul 8, 2022

313

Calculate $(.\overline{6})(3)$.

Can someone help

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Guest Jul 8, 2022

287

Number Theory

If $n = 2^{10} \cdot 3^{18} \cdot 5^{4}$, how many of the natural-number factors of n are multiples of 150?

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Guest Jul 8, 2022

237

System

Let x, y, and z be real numbers such that
x + y - z = 8
x + y + z = 18
-x + 2y + z = 10. read more ..

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Guest Jul 8, 2022

206

Radicals

What is the value of \sqrt{1,\!000,\!000} - \sqrt[6]{1,\!000,\!000}?

Guest Jul 8, 2022

270

help

Of the 10,000 participants in the Cooper Run/Walk, 42% were runners and one-third of the runners were female. Sally, a female runner, finished faster than exactly 90% of the female runners. What is the greatest number of female runners who could have read more ..

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Guest Jul 8, 2022

329

What is the sum of all of the odd divisors of 6300

What is the sum of all of the odd divisors of 6300
helppppp plz

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Guest Jul 8, 2022

205

quadratic

The equation y = -16t^2 - 60t + 54 describes the height (in feet) of a ball thrown downward at 60 feet per second from a height of 54 feet from the ground, where t represents time, measured in seconds. What is the maximum height of the ball? Express your read more ..

Guest Jul 8, 2022

304

Algebra

If we know that b(b^4 * b^5)^2 = b^x for all real numbers b, what is the value of x?

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Guest Jul 8, 2022

294

Math

Erin has $10 to spend. She spends 3/4 of a dollar on some batteries and 4 1/5 dollars on a flashlight. How much money does she have left over?

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Guest Jul 8, 2022

+14

378

+1166

I'm new, and I don't know a lot about web2.0

I've noticed plenty of times how a user can get a 'best answer'. What does it mean? I tried asking BuilderBoi, and he didn't know how either. I think it might be that the moderators pick them, but I'm not 100% sure. Could someone please explain?
read more ..

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nerdiest Jul 8, 2022

289

Coordinates

Line m has the equation y = 3x + 5. Line n has the equation y = kx + 7. Lines m and n intersect at the point (-4, -7). What is the value of k?

BuilderBoi ●

Guest Jul 8, 2022

262

help me

Ms. Floop had purchased two dozen eggs at the beginning of the week; now 3/5 of them were already gone, and it was only Wednesday. How many eggs were left? You may need to round your answer.

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Guest Jul 8, 2022

255

Number Theory

Find the product of all positive integral values of n such that n^2 - 3n + 2 = p for some prime number p. Note that there is at least one such n.

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Guest Jul 8, 2022

275

geometry problem

In triangle ABC, BAC = 78 degrees and ACB = 33 degrees. The incircle of triangle ABC touches sides BC, AC, and AB at D, E, and F, respectively. Find EFD in degrees.

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Guest Jul 8, 2022

All Questions ⁺⁰237784 Questions

Sum

The number of real solutions of the equation log0.5 x = |x| is

Algebra

Binomial

Stats

geometry

Algebra

Number Theory

geometry

math problem

1 minus 32 over 100

Calculate $(.\overline{6})(3)$.

Number Theory

System

Radicals

help

What is the sum of all of the odd divisors of 6300

quadratic

Algebra

Math

I'm new, and I don't know a lot about web2.0

Coordinates

help me

Number Theory

geometry problem

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