hemiiI8675

21 Questions
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31

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Algebra

All members of our painting team paint at the same rate. If $10$ members can paint a $1000$ square foot wall in $10$ minutes, then how long would it take for $5$ members to paint a $1000$ square foot wall, in minutes?

hemiiI8675 Feb 1, 2025

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30

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+84

Algebra

In physics, Ohm's law says that current through a wire, $I$, is directly proportional to voltage, $V$, and inversely proportional to resistance, $R$:
I = V/R
It's also true that resistance is directly proportional to the length of the wire. read more ..

hemiiI8675 Feb 1, 2025

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31

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+84

Algebra

A plane flies from Penthaven to Jackson and then back to Penthaven. When there is no wind, the round trip takes $3$ hours and $20$ minutes, but when there is a wind blowing from Penthaven to Jackson at $70$ miles per hour, the trip takes $3$ hours read more ..

hemiiI8675 Feb 1, 2025

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43

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+84

Algebra

Find the largest real number $c$ such that $1$ is in the range of $f(x)=x^2-5x+c-3x+8$.

hemiiI8675 Jan 26, 2025

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33

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+84

Algebra

Find the sum of all values of $k$ for which $x^2 + kx - 9x + 25 - 9$ is the square of a binomial.

hemiiI8675 Jan 26, 2025

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39

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+84

Algebra

For some real number a and some positive integer n, the first few terms in the expansion of (1 + ax)^n are 1 - 12x + 54x^2 + cx^3 + ... Find c.

hemiiI8675 Jan 25, 2025

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48

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Algebra

Let
f(x) = \sqrt[3]{x + \sqrt[3]{x}}
Find the largest three-digit value of x such that f(x) is an integer.

hemiiI8675 Jan 9, 2025

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52

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Counting

There is a group of five children, where two of the children are twins. In how many ways can I distribute $8$ identical pieces of candy to the children, if the twins must get at least one piece of candy each?

hemiiI8675 Jan 9, 2025

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34

2

+84

Counting

In how many ways can you distribute $8$ indistinguishable balls among $2$ distinguishable boxes, if at least one of the boxes must be empty?

hemiiI8675 Jan 9, 2025

0

48

0

+84

Counting

Find the number of ways of choosing three circles below, so that no two circles are next to each other.

hemiiI8675 Jan 9, 2025

0

39

1

+84

Algebra

Let a be a real number such that a - \frac{1}{a} = 1. Compute a^3.

hemiiI8675 Jan 8, 2025