🧮 algebra

1. **State the problem:** We have a geometric progression (GP) where the third term is 6 less than the second term, and the second term is 9 less than the first term. We need to fi

1. **State the problem:** We need to find which expressions have a sum equal to $\frac{7}{8}$.\n\n2. **Recall the rule for adding fractions:** When adding fractions with the same d

1. **Énoncé du problème :** Déterminer l'ensemble des réels $x$ pour lesquels chaque expression logarithmique a un sens, c'est-à-dire où l'argument du logarithme est strictement po

1. Problem: Identify which expressions have a sum of $\frac{7}{8}$.\n\n2. Calculate each sum:\n- $\frac{4}{8} + \frac{1}{8} + \frac{2}{8} = \frac{4+1+2}{8} = \frac{7}{8}$\n- $\frac

1. **State the problem:** Simplify the expression $\frac{25}{5} - \frac{3}{5}$.\n\n2. **Recall the rule for subtracting fractions:** When the denominators are the same, subtract th

1. The problem involves understanding and graphing inequalities on a number line. 2. The first inequality is $x \geq 8$, which means $x$ is any number greater than or equal to 8.

1. **State the problem:** Find the value of $\frac{4}{8} - \frac{3}{8}$. 2. **Formula used:** When subtracting fractions with the same denominator, subtract the numerators and keep

1. Let's clarify the problem and identify the equation or expression for which the value of $x$ was found incorrect. 2. Please provide the original equation or problem statement so

1. The problem states that $x$ is very small and cannot be 71. 2. This implies that any solution or expression involving $x$ must consider $x$ as a small value, typically close to

1. The problem asks to find the value of $y$, but no equation or context is provided. 2. To find $y$, we need an equation or relationship involving $y$.

1. **Express** $\frac{2x^2 + 1}{x(x-1)^2}$ **in partial fractions.** The form is:

1. **State the problem:** Encik Zamarul wants to buy 2 adult tickets. Each ticket price ratio for children to adults is 3:5, and the child ticket price is RM 90.

1. **Problem Statement:** A company has a total budget of 90000 to be split among its offices. The marketing office receives twice the amount of each other office. We want to find

1. Problem: Find the positive number whose square equals $2 \frac{1}{5} : 1,5 + 1 \frac{3}{5}$. Step 1: Convert mixed numbers to improper fractions and decimals.

1. Masala: Ikkita musbat sonning o’rta arifmetigi 7,5 va o’rta geometrigi o’rta arifmetigining 80% ga teng. Sonlarni toping. Formulalar:

1. **Problem Statement:** We need to construct a function $M(n)$ that gives the amount of money each of the $n$ committees receives when a total budget of 60000 is split evenly.

1. The problem is to draw a line, which in mathematics is typically represented by a linear equation. 2. The general form of a line equation is $y = mx + b$, where $m$ is the slope

1. Stating the problem: Solve the inequality $$-\frac{x+5}{2} \le \frac{12+3x}{4}$$. 2. Formula and rules: To solve inequalities, we can multiply both sides by the least common den

1. Problem 52: Uy bekasi 150 so’mdan yong’oq sotib oldi. Yong’oqlar bo’g’izdan tozalanach, umumiy og’irligining 60% i qoldi. Bir kilogramm tozalangan yong’oq uchun necha so’m sarfl

1. Express the problem: Decompose the rational function $$\frac{2x^2 + 1}{x(x - 1)^2}$$ into partial fractions. 2. Use the formula for partial fractions with repeated linear factor

1. **State the problem:** Find the equation of the line perpendicular to the line given by $y - 2x = 3$ and passing through the point $(-1,4)$. 2. **Rewrite the given line in slope