Example Question - quotient
Here are examples of questions we've helped users solve.
Calculating the Quotient of Two Numbers
<p>To find the quotient of \(1.419 \div 22\), perform the division operation:</p> <p>\(\frac{1.419}{22} = 0.0645\)</p>
Basic Algebraic Equation Problem
Seja \( x \) o número desconhecido. A equação baseada no problema é: \[ \frac{x - 4}{3} = 2 \] Multiplicar ambos os lados da equação por 3 para isolar o termo \( x - 4 \): \[ x - 4 = 3 \cdot 2 \] <p>\( x - 4 = 6 \)</p> Adicionar 4 a ambos os lados para resolver \( x \): \[ x = 6 + 4 \] <p>\( x = 10 \)</p> Portanto, o número é 10.
Derivative of a Quotient of Two Functions
\[ \begin{align*} &\text{Αν } f,g: \mathbb{R} \rightarrow \mathbb{R} \text{ είναι παραγωγίσιμες συναρτήσεις για κάθε } x \in \mathbb{R},\\ &\text{τότε η παράγωγος του πηλίκου των συναρτήσεων } \left(\frac{f}{g}\right)(x) \text{ δίνεται από:}\\ \\ &p\left(\frac{f}{g}\right)(x) = p\left(\frac{f(x)}{g(x)}\right) = \frac{f'(x)g(x) - f(x)g'(x)}{[g(x)]^2} \end{align*} \]
Converting Fractions to Quotients and Unit Conversions in Mathematics
Für die erste Frage (2): <p>a) $\frac{24}{52} = \frac{6}{13}$, nach der Kürzung durch 4</p> <p>b) $\frac{24}{16} = \frac{3}{2}$, nach der Kürzung durch 8</p> <p>c) $\frac{24}{18} = \frac{4}{3}$, nach der Kürzung durch 6</p> <p>d) $\frac{24}{36} = \frac{2}{3}$, nach der Kürzung durch 12</p> <p>e) $\frac{24}{84} = \frac{2}{7}$, nach der Kürzung durch 12</p> Für die zweite Frage (3): <p>a) $\frac{3}{4}h$ (in min) = $\frac{3}{4} \cdot 60\,min = 45\,min$</p> <p>b) $\frac{3}{5}m$ (in mm) = $\frac{3}{5} \cdot 1000\,mm = 600\,mm$</p> <p>c) $\frac{14}{20}ha$ (in a) = $\frac{14}{20} \cdot 100\,a = 70\,a$</p> <p>d) $\frac{6}{125}kg$ (in g) = $\frac{6}{125} \cdot 1000\,g = 48\,g$</p> <p>e) $\frac{3}{4}km$ (in m) = $\frac{3}{4} \cdot 1000\,m = 750\,m$</p>
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