🧮 algebra

1. **Problem Statement:** Find the value of $\sqrt{2.22}$ given that $\sqrt{1.8} = 1.341$.

1. مسئله را بیان می‌کنیم: باید مقدار عبارت $$\left(\frac{x}{y}\right)^8 \times \left(\frac{x}{y}\right)^{-3}$$ را ساده کنیم. 2. فرمول استفاده شده: وقتی دو توان با پایه یکسان ضرب می

1. مسئله: حاصل عبارت‌ها را به صورت یک چندتوانی ساده بنویسید. 2. قانون توان‌ها:

1. **Problem:** Marie descends to 15 feet below sea level and Nancy descends to 22 feet below sea level. Find the difference in their depths. 2. **Formula:** Difference in depths =

1. The problem involves understanding the function values given in the table for $x$ from $-3$ to $5$ and the corresponding $y$ values. 2. The table shows $x$ values: $-3, -2, -1,

1. We are asked to solve the inequality $9 \geq -2m + 2 - 3$ and find the solution set. 2. First, simplify the right side:

1. **State the problem:** We are given the linear function $y = 2x + 3$ and asked to find the value of $y$ when $x = 2$. 2. **Formula used:** The function is already given as $y =

1. The problem is to find the original height of a candle given some information (not provided in the previous message). 2. To solve this, we need the relationship or data about th

1. The problem is to find the equation of a line given a point and a slope. 2. The point-slope form of a line is given by the formula:

1. **State the problem:** Solve the quadratic equation $$x^2 + 10x + 40 = 0$$ for $x$. 2. **Recall the quadratic formula:** For any quadratic equation $$ax^2 + bx + c = 0$$, the so

1. **State the problem:** A bookstore sells math books at 25 each and science books at 30 each. A customer buys 10 books total and pays 275 in total. We need to find how many math

1. **State the problem:** We need to find how many chairs of type A and type B can be produced given the cutting and assembly time constraints.

1. **State the problem:** We have two gym membership plans, Plan X and Plan Y, with different signup fees and monthly charges. We want to find the total cost of each plan after 6 m

1. **State the problem:** We have a farm with chickens and cows. Chickens have 2 legs each, cows have 4 legs each. There are 50 animals total and 140 legs total. We want to find ho

1. The problem asks to find the actual range of the function based on the graph and given options. 2. From the graph description, the function approaches a horizontal asymptote nea

1. The problem asks for the range of the function shown in the graph. 2. From the description, the function behaves like an exponential function that starts near $y = -2$ for $x <

1. **State the problem:** A student buys notebooks and pens. Each notebook costs $4 and each pen costs $1. The student buys 18 items in total and spends 54 in total cost. We need t

1. **State the problem:** Solve the system of linear equations: $$2x + 3y = 13$$

1. **State the problem:** A delivery company uses vans and trucks to deliver boxes. Each van carries 10 boxes, each truck carries 25 boxes, and the company uses 14 vehicles to deli

1. **State the problem:** A movie theater sells adult tickets at 12 each and child tickets at 8 each. On one night, 120 tickets were sold for a total of 1200. We need to find how m

1. **State the problem:** We need to find how many Combo A and Combo B lunches were sold given the total sandwiches and juices sold. 2. **Define variables:** Let $x$ be the number