🧮 algebra

1. **Stating the problem:** We need to verify which of the given options is equal to $$\frac{\sqrt[3]{a}}{\sqrt{a}}$$. 2. **Recall the rules for roots and exponents:**

1. **Énoncé du problème :** Calculer les produits de fractions donnés et exprimer les résultats sous forme de fractions simplifiées. 2. **Rappel de la règle de multiplication des f

1. **State the problem:** Solve for $h$ in the equation $$\frac{h}{-862.7} = -1.$$\n\n2. **Formula and rules:** To isolate $h$, multiply both sides of the equation by $-862.7$ to c

1. Let's start by understanding what a fraction is. A fraction represents a part of a whole and is written as $\frac{a}{b}$ where $a$ is the numerator (top number) and $b$ is the d

1. **State the problem:** We have three runners each running at a constant speed. We want to determine which runner runs the fastest based on their distance-time data. 2. **Recall

1. The problem is to simplify the fraction $\frac{12}{15}$. 2. To simplify a fraction, we find the greatest common divisor (GCD) of the numerator and denominator.

1. **State the problem:** We have three pencil cases A, B, and C with a total of 96 crayons. 2. **Given information:**

1. **State the problem:** Solve the inequality $$2(4x + 5) - 2 < 60$$. 2. **Apply the distributive property:** Multiply 2 by each term inside the parentheses.

1. **State the problem:** Simplify the expression $$\frac{c^2+5c-10}{c^2-16} - \frac{c^2-8c-10}{16-c^2}$$. 2. **Recall important formulas and rules:**

1. **State the problem:** Solve the inequality $x + 7 \leq 27$. 2. **Formula and rules:** To solve inequalities, we isolate the variable on one side. When adding or subtracting the

1. Problemi kërkon të racionalizojmë shprehjen $$\frac{1}{\sqrt[8]{a^3}}$$ duke shumëzuar dhe pjesëtuar me një shprehje të tillë që bën që në emërues të kemi një fuqizim të plotë t

1. The problem is to find two equivalent fractions of $\frac{7}{10}$. 2. Equivalent fractions are fractions that represent the same value or proportion, even though they may have d

1. The problem is to find two equivalent fractions for $\frac{5}{8}$. 2. Equivalent fractions are fractions that represent the same value or proportion, even though they may have d

1. **Problem:** Determine which of the following sets of ordered pairs are functions. 2. **Definition:** A relation is a function if every input (x-value) corresponds to exactly on

1. **Problem:** Determine which of the given sets of ordered pairs are functions. 2. **Definition:** A function is a relation where each input (x-value) corresponds to exactly one

1. **Stating the problem:** We are given the function $$y = 7500 \times \frac{(1.01975)^x - 1}{0.01975}$$ and want to understand its behavior and graph. 2. **Formula explanation:**

1. The problem asks which sets of ordered pairs represent functions. 2. A function is a relation where each input (x-value) has exactly one output (y-value).

1. The problem asks to find two equivalent fractions for $\frac{2}{3}$. 2. Equivalent fractions are fractions that represent the same value or proportion, even though they may have

1. **State the problem:** Determine if the function $$K(x) = \frac{5^x}{\sqrt{3} \cdot 6^x}$$ is exponential, and if so, rewrite it in the form $$K(x) = ab^x$$ where $$a$$ and $$b$

1. The problem is to simplify the expression $$16 + \frac{7m - 72}{m - 2}$$ and check if you can simplify terms like $4m$ to $m$. 2. First, note that $4m$ and $m$ are not directly

1. Problem: Interpret the expression "Czekaj 16 to jest jako osobna liczba obok a nie w ułamku" which means "Wait, 16 is a separate number next to 'a', not in a fraction." 2. Expla