All Questions ⁺⁰237360 Questions

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180

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Complex numbers

Karl was attempting to calculate economic figures. He found the following equation to be true:
fp - w = 10000

If f = 5 and w = 5 + 25i, what is p? read more ..

Guest Jul 5, 2022

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249

1

coordinates

A line segment of length 5 has one endpoint at (1,2) and the other endpoint at (6,b). Find all possible values of b, separated by commas.

Guest Jul 5, 2022

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263

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Coordinates

Point M (4,4) is the midpoint of AB. If point A has coordinates (-8,4), what is the sum of the coordinates of point B?

Guest Jul 5, 2022

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270

1

Algebra

Find all the solutions to (x + 4)/(x + 5) = (x - 5)/(2x) + (x - 5)/(x + 5)

Guest Jul 5, 2022

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183

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stats

The mean of a set of 5 positive integers is 1.5 times the median. If three of the integers in the set are 24, 30, and 86, and one of those 3 integers is the median, what is the sum of all distinct possible sums of the other two integers?

Guest Jul 5, 2022

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262

3

Number Theory

The remainders when three positive integers are divided by 5 are 1, 2, and 4. Find the remainder when their product is divided by 5.

Guest Jul 5, 2022

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267

3

Percent

Pizzas are sized by diameter. What percent increase in area results if Chantel's pizza increases from an 8-inch pizza to a 12-inch pizza?

Guest Jul 5, 2022

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280

2

math problem

What is the largest two-digit number that is divisible by both of its digits?

Guest Jul 5, 2022

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270

2

help me please T^T

Lance has a regular heptagon (7-sided figure). How many distinct ways can he label the vertices of the heptagon with the letters in "OCTAGON" if the "N" cannot be next to an "O"? Rotations of the same labeling are considered equivalent. read more ..

Guest Jul 5, 2022

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196

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Algebra

Let a and b be real numbers such that a^3 + 3ab^2 = 679 and 3a^2 b + b^3 = -679. Find a + b.

Guest Jul 5, 2022

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257

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Binomial Theorem

For some real number a and some positive integer n, the first few terms in the expansion of (1 + ax)^n are
1 - 20x + 180x^2 + cx^3 + ...
Find c.

Guest Jul 5, 2022

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277

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Polynomial

A polynomial with integer coefficients is of the form
\[2x^4 + a_3 x^3 + a_2 x^2 + a_1 x + 45 = 0.\]
Find the number of different possible rational roots of this polynomial.

Guest Jul 5, 2022

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258

4

Number Theory

For how many integer values of n between 1 and 1000 inclusive does the decimal representation of n/1375 + n/3 terminate?

Guest Jul 5, 2022

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246

1

Algebra

Given the following list of numbers: $\frac{3}{5}, \frac{5}{6}, \frac{2}{3}, -\frac{4}{7}, \frac{9}{8}, \frac{7}{9}, \frac{11}{10}, \frac{3}{4}$ what is the smallest number subtracted from the biggest number? Express your answer as a decimal.

Guest Jul 5, 2022

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246

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+12

Nata's mother needs to pay the bill in bank 'A' for electricity for November.

Nata's mother needs to pay the bill in bank "A" for electricity for November. The cost of the service includes the commission
bank for the transfer is $565. If only Nata's mother paid for electricity at Bank B, where the transfer fee is twice as much, read more ..

NikOL Jul 5, 2022

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284

1

Expand

Expand (2x - 1)^5*(2x + 1)^5.

Guest Jul 5, 2022

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244

1

Digits

The sum of a 2-digit number and the 2-digit number when the digits are reversed is 77. If the difference of the same two numbers is 45, what are the two 2-digit numbers?

Guest Jul 5, 2022

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209

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Hyperbola

The asymptotes of a hyperbola are y = x + 1 and y = 3 - x. Also, the hyperbola passes through (3,6). Find the distance between the foci of the hyperbola.

Guest Jul 5, 2022

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213

1

plz help

Find positive integers (a,b) so that
(37 + 20*sqrt(3))^2 = a + b*sqrt(3).

Guest Jul 5, 2022

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249

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PLZ HELP

if 2n is a root of the equation in x, x^2-2mx+2n=0, then m-n=

Guest Jul 5, 2022

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263

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coefficient

Find the coefficient of u^2 v^9 in the expansion of (2u^2 - v^3)^4.

Guest Jul 5, 2022

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184

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counting

In the expansion of $(ab + bc + ca)^{12}$, find the coefficient of $a^9 b^{12} c^3$.

Guest Jul 5, 2022

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240

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+4

Question

There are 39 more red balls than yellow balls. 2/5 of the balls in a box are red. 5/8 of the remaining balls are blue. The rest of the balls are yellow. How many balls are there altogether?

ChiChi Jul 5, 2022

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171

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Algebra

A and B are constants such that (4x - 5)/(x^2 + x - 2) = A/(x + 2) + B/(x - 1). Find B/(x + 1) - A/(x - 2).

Guest Jul 5, 2022

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189

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Parabola

The line x = k intersects the graph of the parabola x = -2y^2 - 3y + 5 + y^2 + 5y + 8 at exactly one point.z What is k?

Guest Jul 5, 2022

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