最新の問題

We need to solve the equation $\frac{2x}{x-3} = 4 + \frac{6}{x-3}$ for $x$.

Rational EquationsSolving EquationsNo Solution
2025/3/21

In a particular locality, 25 people like walking, 22 people like running, and 15 people like cycling...

Venn DiagramsSet TheoryInclusion-Exclusion PrincipleCombinatorics
2025/3/21

The problem asks us to solve the equation $3(x - 9) = 4 - 2(x + 2)$ for $x$.

Linear EquationsSolving EquationsVariable Isolation
2025/3/21

The problem asks us to simplify the expression $3(4x-5)+2$.

Algebraic ExpressionsSimplificationDistributive PropertyLinear Equations
2025/3/21

The problem states that $a$ varies directly as the square of $b$ and inversely as $c$. We are given ...

Direct and Inverse VariationProportionalityVariablesSolving Equations
2025/3/21

The problem states that $a$ varies directly as the square of $b$ and inversely as $c$. We are given...

Direct VariationInverse VariationProportionalitySolving Equations
2025/3/21

縦1920ピクセル、横1080ピクセルの画像について、以下の2つの場合におけるデータ量をキロバイト(KB)で求めます。ただし、画像形式は無圧縮で、1KB = 1000Bとします。 (1) 白黒画像(白...

データ量ピクセルビットバイト計算
2025/3/21

$a$ varies directly as the square of $b$ and inversely as $c$. Given that $a=2$ when $b=4$ and $c=24...

Direct VariationInverse VariationProportionalityAlgebraic Equations
2025/3/21

CDに音声を記録する際に、1秒間に44100回標本化、量子化ビット数は16ビットのステレオ音声で4分の音楽を記録するために必要なデータ量をMB単位で求める問題です。ただし、1KB=1000B、1MB=...

データ量標本化量子化計算
2025/3/21

The problem asks us to multiply the polynomial $(3a^3 + 5a^2 - a - 1)$ by the binomial $(a-7)$ and s...

PolynomialsMultiplicationSimplification
2025/3/21