🧮 algebra

1. Planteamos el problema: Encontrar los números naturales $p$, $q$ y $n$ tales que $$\text{MCD}\left(\frac{p}{n}, \frac{q}{n}\right) = 4, \quad \text{MCD}(pn, qn) = 196, \quad p \

1. Planteamos el problema: Tenemos números naturales $p$, $q$ y $n$ tales que $$\text{MCD}(p^n, q^n) = 4 \quad \text{y} \quad \text{MCD}(p^n, q^n) = 196, \quad p \cdot q = 11760, \

1. Vamos resolver a expressão $\frac{1}{3} \cdot \left( \frac{3}{5} + \frac{1}{2} \right)$. 2. Primeiro, somamos as frações dentro dos parênteses. Para isso, encontramos o mínimo m

1. Planteamos el problema: Resolver la ecuación cuadrática $$x^2 + 11x + 30 = 0$$. 2. Usamos la fórmula general para ecuaciones cuadráticas: $$x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a

1. El problema es encontrar las raíces de la ecuación cuadrática $x^2 - 7x - 8 = 0$. 2. Usamos la fórmula general para ecuaciones cuadráticas: $$x = \frac{-b \pm \sqrt{b^2 - 4ac}}{

1. **State the problem:** We need to find the answer to the user's request "answer it" which is ambiguous, so we assume a simple algebraic problem to demonstrate. 2. **Example prob

1. Problem: Izračunajmo koliko je vlage kukuruz primio i kolika je bila početna vlažnost kukuruza pre nego što je primio dodatnu vlagu. 2. Podaci: Konačna težina kukuruza je 1250 k

1. Problem: Razjasnimo formule za računanje procenta i njihove primene. 2. Osnovne formule koje koristimo su:

1. **Stating the problem:** Imamo maloprodajnu cijenu koja uključuje PDV od 17%, a maloprodajna cijena je 45.00.

1. **Problem:** What percent is 3 out of 70? 2. **Formula:** To find what percent one number is of another, use the formula:

1. **Problem:** What percent is 6 out of 7? 2. **Formula:** To find what percent a number $a$ is of another number $b$, use the formula:

1. **Problem:** Match each graph with the correct equation from the given list. 2. **Step 1: Identify the type of graph and its features.**

1. **State the problem:** Will spends 3.75 for 3 pounds of granola. We want to find out how many pounds of granola Will can buy for 10. 2. **Formula:** To solve this, we use the un

1. **State the problem:** We have a scale drawing where 4 cm represents 9 ft. The length of the billboard in the drawing is 11 cm. We need to find the actual length of the billboar

1. **State the problem:** We know that about 13 out of 20 homes have a personal computer. We want to find how many computers we expect on a street with 60 homes. 2. **Set up the pr

1. **State the problem:** We need to find the horizontal asymptote of the rational function $$y = \frac{2}{x + 1}$$ and sketch its graph. 2. **Recall the rule for horizontal asympt

1. **State the problem:** Find the x-intercept of the function $$y = \frac{2}{x+1}$$ and sketch its graph. 2. **Recall the x-intercept rule:** The x-intercept occurs where $$y=0$$.

1. **State the problem:** Nilopal is 2 years older than Devjan, who is 7 years older than John. Their combined age is 61 years. We need to find the age of each person. 2. **Define

1. **State the problem:** Find the modulus of the complex number $z = 3 + i$. 2. **Formula:** The modulus of a complex number $z = a + bi$ is given by $$|z| = \sqrt{a^2 + b^2}$$ wh

1. **State the problem:** Simplify the expression $$\frac{-4}{x^2 + 2x} + \frac{x}{x + 2}$$. 2. **Rewrite the denominator:** Note that $$x^2 + 2x = x(x + 2)$$.

1. **State the problem:** Solve the system of equations using the elimination method: $$2x + 5y = 9$$