All Questions ⁺⁰236046 Questions

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Algebra

In a store window, there was a box of berries having a total weight of 200 kg. The berries were 99% water, by weight. After two days in the sun, the water content of the berries was only 90%, by weight. What was the total weight of read more ..

RedDragonl Oct 24, 2024

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7

0

+842

Algebra

A mathematician works for t hours per day and solves p problems per hour, where and are positive integers. One day, the mathematician drinks some coffee and discovers that he can now solve 4p+8 problems per hour. In fact, he only works read more ..

RedDragonl Oct 24, 2024

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5

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+310

Algebra

Find the sum of all positive integers less than 1000 ending in 3 or 4 or 6 or 9.

MEMEG0D Oct 24, 2024

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6

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+310

Algebra

In a geometric sequence, the 23rd term is 16 and the 24th term is 1/4. What is the 30th term?

MEMEG0D Oct 24, 2024

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3

+24

Can someone please help?

I need help solving the problem: How many points of the form (x,y) , where both coordinates are positive integers, lie below the graph of the hyperbola xy=16?

crimefightingvigil Oct 24, 2024

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4

2

+801

Counting

My sock drawer contains two red socks, two white socks, and two blue socks. For three days in a row, I pull out two socks out of my sock drawer at random. What is the probability that I get matching socks on all three days?

gnistory Oct 24, 2024

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5

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+801

Counting

The Boomtown Bears are playing against the Tipton Toros in a baseball tournament. The winner of the tournament is the first team that wins three games. The Bears have a probability of $\frac{1}{2}$ of winning each game. Find the probability read more ..

gnistory Oct 24, 2024

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5

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+801

Counting

In how many ways can you distribute $8$ indistinguishable balls among $6$ distinguishable boxes, if at least four of the boxes must be empty?

gnistory Oct 24, 2024

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7

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+801

Counting

In the SuperLottery, three balls are drawn (at random, without replacement) from white balls numbered from $1$ to $10,$ and one SuperBall is drawn (at random) from red balls numbered from $11$ to $20.$ When you buy a ticket, you choose three numbers read more ..

gnistory Oct 24, 2024

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+801

Counting

In the SuperLottery, three balls are drawn (at random, without replacement) from white balls numbered from $1$ to $10,$ and one SuperBall is drawn (at random) from red balls numbered from $11$ to $20.$ When you buy a ticket, you choose three numbers read more ..

gnistory Oct 24, 2024

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5

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+893

Algebra

Find all values of c such that 3(2c + 1) = 28*(3c) - 9 + 45(3c) - 18. If you find more than one value of c, then list your values in increasing order, separated by commas.

AnswerscorrectIy Oct 24, 2024

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10

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+893

Algebra

Compute the sum
\frac{1}{\sqrt{36} + \sqrt{39}} + \frac{1}{\sqrt{39} + \sqrt{40}} + \frac{1}{\sqrt{40} +\sqrt{45}}

AnswerscorrectIy Oct 24, 2024

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7

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+893

Algebra

Let $x$ and $y$ be complex numbers. If $x + y = 2$ and $x^3 + y^3 = 5$, then what is $x^2 + y^2$?

AnswerscorrectIy Oct 24, 2024

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8

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+893

Algebra

Compute
1 + \frac{3}{6} + \frac{5}{6^2} + \frac{7}{6^3} + 2 + \frac{2}{5} + \frac{2}{5^3} + \frac{2}{5^4}

AnswerscorrectIy Oct 24, 2024

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6

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+379

Number Theory

How many positive four-digit integers $N$ have the property that the three-digit number obtained by removing the leftmost digit is equal to $\frac{N}{24}?$

MeIdHunter Oct 24, 2024

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+379

Number Theory

The product of a set of distinct positive integers is $630$. If one of the numbers is 42, what are the other two numbers?

MeIdHunter Oct 24, 2024

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+379

Number Theory

On planet Enigma, the residents use a currency called the confusion. There are only 2 confusion bills on Enigma, one worth 2 confusions and the other worth 3 confusions. There are also some coins of smaller value, but each weighs over 10 read more ..

MeIdHunter Oct 24, 2024

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4

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+379

Number Theory

Find the largest positive integer n such that
\frac{(n + 1)^2}{n + 2}
is an integer.

MeIdHunter Oct 24, 2024

+1

3

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+36

Combinations

Each vertex of cube a b c d e f g h is colored either black or white. Find the number of colorings in which all four vertices of some face have the same color.

HelpIneedHelp Oct 24, 2024

Oct 23, 2024

+1

6

2

+38

Weights and measuring are hard :(

There are approoximately 0.4536 kilograms in a pound. To the nearest whole pound, how many pounds does a steer that weights 200 kg weigh?

SuckAtMathPleaseHelp Oct 23, 2024

-1

5

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+219

Counting

Find the number of $7$-digit positive integers, where the sum of the digits is divisible by $3.$

BRAlNBOLT Oct 23, 2024

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