🧮 algebra

1. **Problem:** Suppose you want to buy a product available in three packages: - Package A: 3 items for 12 dollars

1. Stating the problem: Factor the quadratic expression $x^2 + 5x - 6$. 2. To factor, find two numbers that multiply to $-6$ (the constant term) and add to $5$ (the coefficient of

1. Let's state the problem: A person bought a product for $100 and sold it for $80. What is the loss in terms of amount and percentage? 2. Calculate the loss amount: $$\text{Loss}

1. Énonçons le problème : Simplifier l'expression $\frac{1}{k} - \frac{1}{k+1}$.\n\n2. Pour effectuer cette soustraction, il faut un dénominateur commun. Le dénominateur commun de

1. The problem involves matching the given weights of rectangular tiles with the amounts used for testing and determining the sample sizes. 2. We have eight tile weights: 0.512 kg,

1. **State the problem:** We need to find the cost of the cement used to cover the interior floor and walls of a basement room measuring 10m by 18m with a height of 3m, where the c

1. Let's clarify the problem: "how to solve this" is vague, so I will assume you want to understand how to solve an algebraic equation or math problem step-by-step. 2. General appr

1. Factorize each expression: **I.**

1. Let's identify the problem: We need to find the values that give the right answers 0.75, 1.35, and 1.5. 2. Since the user provided these values as the right answers, it's likely

1. نبدأ بمسألة التبسيط: تبسيط التعبير $$\frac{1}{2} \cdot 256$$. 2. نعرف أن التعبير يشير إلى ضرب 256 في $$\frac{1}{2}$$.

1. The problem is to understand and analyze the function $y=x^2$. 2. This is a quadratic function with the general form $y=ax^2+bx+c$ where here $a=1$, $b=0$, and $c=0$.

1. The problem asks to find the percentage change when a car's value decreases from 9000 to 7650. 2. Calculate the amount of decrease: $$9000 - 7650 = 1350$$.

1. **State the problem:** We need to find the percentage reduction in the cost of a t-shirt when it is reduced from £18 to £12.60. 2. **Calculate the amount of reduction:** The red

1. The problem states Jason's salary increases from 24000 to 26880. We need to find the percentage increase.\n\n2. First, find the absolute increase: $$26880 - 24000 = 2880$$\n\n3.

1. The problem states that the price of a game decreased from £20 to £12, and we need to find the percentage decrease. 2. Percentage decrease is given by the formula:

1. Stating the problem: The number of members increases from 60 to 75, and we need to find the percentage increase. 2. Calculate the increase in members: $75 - 60 = 15$.

1. Let's clarify the problem or equation you are working on. 2. Double-check each step you took to solve it, ensuring the calculations and algebraic manipulations were correctly do

1. **Énoncé du problème:** Calculer les expressions A, B, C, D, E, F, G, H, I, J, K, L et résoudre les questions sur l'expression H, et calculer $a^2 + b^2$ avec les conditions don

1. **Énoncé du problème :** Calculs et simplifications diverses en algèbre et racines carrées. **Exercice 1:**

1. Énoncé du problème : Calculer les expressions $A = - \left(\frac{7}{2} + 3\right) + \frac{55}{99} \times 77 \times \frac{3^2}{110}$ et $B = \frac{8}{5} - \frac{1}{2} \times \fra

1) Développer et réduire les expressions : A = (2\sqrt{5} - \sqrt{3}x)^2