🧮 algebra

1. **Stating the problem:** We have LED points located at specific coordinates in inches on a 200" diagonal image. The display resolution is 1024 x 768 pixels. We want to find the

1. **State the problem:** Simplify the expression $$\frac{5 + 9(1 + 2)^2}{1 + 9}$$. 2. **Recall the order of operations:** Parentheses first, then exponents, multiplication/divisio

1. The problem asks: "Where have we used the range?" in a mathematical context. 2. In mathematics, the "range" of a function is the set of all possible output values (y-values) it

1. **State the problem:** We need to solve the equation where Steven's points equal Isaiah's points: $$80 - 12x = 20 + 3x$$ 2. **Write down the formula and rules:** This is a linea

1. **State the problem:** Solve the equation $6(2y-15) + 2 = 56$ for $y$. 2. **Apply the distributive property:** Multiply 6 by each term inside the parentheses:

1. The problem states that Eric rented a car for 5 days at a total cost of 180. 2. We need to find the cost to rent the car for 3 days at the same rate.

1. Let's clarify the problem first. You seem to be asking if the answer is 48, but we need the original question to verify. 2. Please provide the full problem or equation so I can

1. **Problem Statement:** We are given positive real numbers $x, y, z$ such that:

1. **State the problem:** Matthew saved \(\frac{3}{5}\) of the total amount last year and an additional \(\frac{3}{10}\) of the total amount this summer. We need to find the fracti

1. The problem states Paul completed $\frac{8}{15}$ of his book. Jill's book has 60 pages, and we want to find how many pages Jill must read to have completed the same fraction $\f

1. Задачата е да решим уравнение, подходящо за седми клас. 2. Нека приемем, че задачата е да решим линейно уравнение от вида $ax+b=0$.

1. **Problem statement:** Given the sequence of triangles with numbers 36, 48, and variable $a$ transforming to 24, variable $b$, and 80, find $a$ and $b$. 2. **Understanding the p

1. **State the problem:** Solve the quadratic equation $$3x^2 - 2x - 5 = 0$$. 2. **Formula used:** The quadratic formula is $$x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}$$ where the equ

1. The problem is to find the greatest common divisor (GCD) or greatest common factor (GCF) of the terms in problem 294: $72a^3 b^2$, $18a^2 b^3 x^2$, and $15a^4 b^4 x$. 2. The for

1. **State the problem:** We have a composite figure made of two rectangles joined horizontally. We want to find two different expressions for the total area and then show they are

1. Calculer et simplifier : - $A = \sqrt{49} + \sqrt{25} = 7 + 5 = 12$

1. **State the problem:** We have 832 people surveyed about their birth month. \n\n2. **Given:** \n- $\frac{3}{13}$ of the people were born in May. \n- $\frac{5}{8}$ of the people

1. **State the problem:** Find the value of $a$ in the equation $$\frac{a}{6} - \frac{3}{8} = \frac{11}{24}.$$\n\n2. **Use the formula:** To solve for $a$, isolate $a$ by adding $\

1. **State the problem:** Solve the equation $2a + b = 10$ for one variable in terms of the other. 2. **Choose a variable to solve for:** Let's solve for $b$.

1. **State the problem:** Solve the equation $x^2 + 3y = 5$ for $y$ in terms of $x$. 2. **Formula and rules:** To isolate $y$, we need to rearrange the equation by moving $x^2$ to

1. Let's start by stating the problem: solving simultaneous equations means finding values of variables that satisfy two or more equations at the same time. 2. Consider the system: