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310

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Larry rolls a fair 8-sided die with faces labelled 1 through 8, and Yolanda rolls a fair 12-sided die with faces labelled 1 through 12. Suppose the probability that Larry rolls a smaller number than Yolanda is p/q, where p and q are relatively prime positive read more ..

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Guest Jul 17, 2022

297

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Lucy had 1/3 the money that Aaron had. After that Aaron spent $45 and Lucy's mother gave her $6. Aaron still had $3 more than Lucy. How much money did Lucy have at first?

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Guest Jul 17, 2022

322

[Polynomials] P(x) is a polynomial in x with non-negative integer coefficients. If P(1) = 5 and P(P(1)) = 177, what is the sum of all possib

I attacked the problem by first setting the obvious as P(x) = c1xn+c2xn-1+.....+cn with the c's being the constants.
P(1) = 5 tells me that the sum of all the coefficients of the polynomial is 5, and immediately a matter to observe would be n <read more ..

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alphayash Jul 17, 2022

271

Factors

What is the least positive integer that is a factor of 21 but is not a factor of 20?

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Guest Jul 17, 2022

204

perfect square

What is the largest perfect square all of whose digits are 9?

Guest Jul 17, 2022

303

Please help

Aeron, Ben, John drive at the constant speed. The average speed of Ben is 3/4 of Aeron. The ratio of John's average speed to Ben's average speed is 13:15. If Aeron's average speed is 60 km/h. What is John's average speed? Give the answer read more ..

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Guest Jul 17, 2022

Jul 16, 2022

309

Parabola

The red parabola shown is the graph of the equation x = ay^2 + by + c. Find a+b+c.

read more ..

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Guest Jul 16, 2022

320

Help

Lauren bought 4 pounds of steak at $3.89 per pound, 4 dozen eggs at $1.05 per dozen, 2 gallons of milk at $1.99 each, and three loaves of bread at $1.79 each. Calculate the total cost of these items.
(A) $23.74
(B) $25.13
(C) read more ..

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Guest Jul 16, 2022

302

help coordinates

This circle passes through the points (-1, 2), (3,2) and (9,0). The center of the circle is at (h,k). What is the value of h+k?

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Guest Jul 16, 2022

269

powers

How many numbers between 100 and 200 (inclusive) are not perfect cubes?

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Guest Jul 16, 2022

220

probability

A box in the dressing shed of a sporting team contains 6 green and 3 red caps. The probability that the first 2 caps taken at random from the box will be the same color is what?

Guest Jul 16, 2022

278

inlet pipe

An inlet pipe can fill a barrel of vinegar in 8 hours and an outlet pipe can empty it in 12 hours. How long will it take to fill the barrel if both pipes are left open?

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Guest Jul 16, 2022

309

Help

30 apples and 35 pears in Store X costs $33.50. 24 apples and 24 pears in Store Y costs $22.80. The price of the pears in both stores are the same, but each apple in Store X is 10 cents more than each apple in Store Y. What is the read more ..

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Guest Jul 16, 2022

296

Parabola

A parabola ax^2+bx+c contains the points (-1,0), (0,5), and (-5,0). Find the value 100a+10b+c.

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Guest Jul 16, 2022

197

help graphing

What is the smallest distance between the origin and a point on the graph of y = \frac{1}{\sqrt{2}} (x^2 - 18)

Guest Jul 16, 2022

216

polynomials

The polynomial p(x) = x^2 + ax + b has positive integer coefficients a and b. If p(80) is a perfect square and the equation p(x) = 0 has two distinct integer solutions, what is the least possible value of b? read more ..

Guest Jul 16, 2022

286

In how many different ways can men and women be placed into two groups of two people and one group of three people if there must be at

In how many different ways can men and women be placed into two groups of two people and one group of three people if there must be at least one man and one woman in each group? Note that identically sized groups are indistinguishable. read more ..

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Guest Jul 16, 2022

225

ratios

Jan and Jerome are mixing red paint with white paint to make pink paint, in the ratio of 4 parts red to 8 parts white. How many gallons of red paint shoud they mix with 1 gallon white paint? Express your answer as a common fraction. read more ..

Guest Jul 16, 2022

219

stats

The table shows the percent of families in Mathville that have 0, 1, 2, 3 and 4 or more children. If there are a total of 10,250 families, how many are there with no children?

Number of children 0 1 2 3 4+ read more ..

Guest Jul 16, 2022

347

+166

Probability

Fabian has a deck of 25 cards. Each card has an integer between 1 and 5, inclusive, printed on it in one of five colors: red, orange, green, blue, or violet. Each number-color combination appears on exactly one card in the deck. Fabian draws four cards read more ..

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RainbowSquirrel53 Jul 16, 2022

281

number theory

Let n be a positive integer with exactly 3 positive prime divisors. If n^2 has 27 divisors, how many does n have?

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Guest Jul 16, 2022

217

Complex numbers

Let z and w be complex numbers such that |z| = 1, |w| = 7, and |5z - 2w| = 17. Find |3z + 4w|.

Guest Jul 16, 2022

203

polygon

An eight sided polygon with angle measures x, 139, 101, x + 26, 136, 135, x - 22, and 151 degrees. What is the value of x?

Guest Jul 16, 2022

256

graphing

The graph of the line y = 3x + a intersects the graph of the parabola y = x^2 + x in two points. If the distance between these points is sqrt(30), what is the value of a? Express your answer as a common fraction.

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Guest Jul 16, 2022

324

Help please, im not sure how to solve this

Every time I use a piece of scrap paper, I crumple it up and try to shoot it inside the recycling bin across the room. I'm pretty good at it: If I shoot $5$ pieces of paper at the recycling bin, at least one of them will make it inside the recycling bin read more ..

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Guest Jul 16, 2022

All Questions ⁺⁰237784 Questions

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[Polynomials] P(x) is a polynomial in x with non-negative integer coefficients. If P(1) = 5 and P(P(1)) = 177, what is the sum of all possib

Factors

perfect square

Please help

Parabola

Help

help coordinates

powers

probability

inlet pipe

Help

Parabola

help graphing

polynomials

In how many different ways can men and women be placed into two groups of two people and one group of three people if there must be at

ratios

stats

Probability

number theory

Complex numbers

polygon

graphing

Help please, im not sure how to solve this

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