🧮 algebra

1. **State the problem:** We know that $y$ is proportional to the square root of $x$, written as $y \propto \sqrt{x}$. Given $y=17$ when $x=25$, find $y$ when $x=14$, rounding to 1

1. **State the problem:** We are given that $y$ is inversely proportional to the square root of $x$, i.e., $y \propto \frac{1}{\sqrt{x}}$. When $x=25$, $y=4.4$. We need to find $y$

1. **State the problem:** We are given that $y$ is directly proportional to $x^2$, and that $y = 122.5$ when $x = 7$. We need to find the value of $y$ when $x = 8$. 2. **Write the

1. **State the problem:** We are given that $y$ is inversely proportional to $x^2$, which means $y \propto \frac{1}{x^2}$. We have a table with $y=32.4$ when $x=4$, and we need to

1. **State the problem:** We are given that the sum of two numbers is 84, and one number is \(\frac{2}{5}\) of the other. We need to find the smallest number. 2. **Set variables:**

1. Énoncé du problème : Soit un entier relatif $n \neq -4$. On définit $p = 5n + 21$ et $q = n + 4$. On considère un diviseur commun $d$ de $p$ et $q$. 2. Formule et règles importa

1. The problem is to simplify the expression $x(1,2)-[D]\div 2a$ and find its value in numbers. 2. First, clarify the notation: $x(1,2)$ likely means $x$ multiplied by the numbers

1. The problem is to simplify the expression $x(1,2)-[D]\div 2a$.\n\n2. First, clarify the notation: $x(1,2)$ likely means $x$ multiplied by the vector or pair $(1,2)$, but since n

1. **Problem:** Multiply $$\frac{9p}{7s} \times \frac{28s}{81p}$$. 2. **Formula:** Multiply numerators and denominators: $$\frac{a}{b} \times \frac{c}{d} = \frac{ac}{bd}$$.

1. **بيان المشكلة:** لدينا المتتالية التراجعية المعرفة بالعلاقة: $$U_0 = 1, \quad U_{n+1} = \frac{4U_n}{U_n + 2}, \quad n \in \mathbb{N}$$

1. The problem is to order the given mathematical expressions from smallest to largest. 2. Let's evaluate or approximate each expression:

1. The problem is to arrange numbers or expressions from smallest to largest. 2. To do this, we compare each number or expression by evaluating their values.

1. The problem involves evaluating the factorial expression $4!$. 2. The factorial of a positive integer $n$, denoted $n!$, is the product of all positive integers from 1 to $n$.

1. The problem is to convert the decimal number 0.26666666666 into a fraction. 2. Notice that 0.26666666666 is a repeating decimal where the digit 6 repeats indefinitely after the

1. **State the problem:** Solve the equation $(3x+2)-7=16$ for $x$. 2. **Simplify the equation:** Combine like terms inside the parentheses and simplify the left side.

1. **State the problem:** Solve the linear equation $2x - 4 = 5 - x$ for $x$. 2. **Write down the equation:**

1. **بيان المسألة:** لدينا نظام معادلات خطية:

1. The problem asks: How many persons are needed to fit the window in a day? 2. To solve this, we need more information such as the total work required, the work rate of one person

1. **Problem 1:** Anna has 500 and wants to buy notebooks costing 45 each. We need to find how many notebooks she can buy. 2. **Write the inequality:** Let $x$ be the number of not

1. **Problem statement:** Two persons can fit a window together in 3 days. One person falls ill, so we want to find how many days it will take for the remaining person to fit the w

1. **Problem 18: Solve the inequality $x + 2 < 6$. Step 1:** Subtract 2 from both sides to isolate $x$: