🧮 algebra

1. Problem: Pronaći dva broja gdje je aritmetička sredina jednaka 185, a veći broj podijeljen manjim daje količnik 2 i ostatak 40. 2. Definirajmo brojeve: neka su to $x$ (veći broj

1. The problem asks to find 56% of 234. 2. To find a percentage of a number, use the formula: $$\text{Percentage of a number} = \frac{\text{percentage}}{100} \times \text{number}$$

1. **State the problem:** Solve the inequality $5 - \frac{2}{x} < 1$ for $x$. 2. **Rewrite the inequality:**

1. **Stating the problem:** We need to perform operations or solve a problem involving matrices. Since the exact question is not specified, let's assume a common matrix problem: mu

1. **Problem statement:** Calculate how many monthly instalments must be paid if the deposit is 69 and each instalment is 28.5, with a total hire purchase price of 354.

1. **Stating the problem:** We are given four mathematical statements and asked which pairs are correct. 2. **Analyze each statement:**

1. **Problem Statement:** A sheet of paper is folded exactly in half once, resulting in 2 equal parts. Then it is folded a second time, resulting in 4 equal parts, and so on. How m

1. **State the problem:** Find the slope of the line passing through the points (2,3) and (5,7). 2. **Formula:** The slope $m$ between two points $(x_1,y_1)$ and $(x_2,y_2)$ is giv

1. **Problem:** Find the slope of the line passing through the points (2,3) and (5,7). 2. **Formula:** The slope $m$ between two points $(x_1,y_1)$ and $(x_2,y_2)$ is given by:

1. **Stating the problem:** Find the slope of a line passing through two points $(x_1,y_1)$ and $(x_2,y_2)$ using the formula for slope.

1. **Problem Statement:** Simplify each expression using modular arithmetic. 2. **Formula and Explanation:** The expression $a \mod m$ means the remainder when $a$ is divided by $m

1. **Problem Statement:** We have a cubic polynomial $p(x)$.

1. **State the problem:** Simplify or analyze the expression $$ (2x^2 + 3) \cos(x^2) + \tan(5x^2) $$. 2. **Recall the functions involved:**

1. **State the problem:** We are given that 22% of a rope is 55 metres long, and we need to find the full length of the rope. 2. **Formula used:** Percentage means part of a whole.

1. **State the problem:** Calculate the value of the expression $$\frac{13}{25} + \frac{7}{70} + \frac{2}{5} \times \frac{8}{70}$$. 2. **Recall the order of operations:** Multiplic

1. **Problem statement:** A girl receives $n$ cedis each week as pocket money. She saves this money for 5 weeks and then buys a present costing 7900 cedis. 2. **Expression for the

1. **Problem Statement:** Draw addition (\oplus) and multiplication (\otimes) tables for the set \{2,4,6,8\} modulo 9.

Let's solve the first question step by step! 🎉 **Problem:** Solve for $x$ if $x + \log_2(2^x - 6) = 4$

1. مسئله اول: محاسبه مجموع دنباله حسابی با فرمول $$S_n = \frac{n}{2} (a + l)$$ که در آن $$n$$ تعداد جملات، $$a$$ جمله اول و $$l$$ جمله آخر است. 2. مسئله دوم: حل معادله $$x^2 (104 +

1. مسئله را بیان می‌کنیم: در دنباله حسابی داریم $a_1=51$ و $a_8=58$. می‌خواهیم تعداد جملات لازم برای جمع تا حاصل آن از 493 بیشتر شود را پیدا کنیم. 2. فرمول جمله عمومی دنباله حسابی:

1. **Problem Statement:** Given the function $$F(x) = \frac{x + 5}{2 - x}$$, find: i) Turning point (x, y)