🧮 algebra

1. Let's define variables: Let $A$ be the number of cookies Anna had initially, and $E$ be the number of cookies Elsa had. 2. After Anna baked another 340 cookies, Anna's total coo

1. The problem asks to identify the value or meaning of $d$ in the given context. 2. However, the question does not provide any equations, expressions, or context where $d$ appears

1. Let's define variables for the number of cookies baked by Elsa and Anna. Let $A$ be the number of cookies Anna baked.

1. The problem is to understand the logarithm of numbers less than 1. 2. Recall the definition of logarithm: for $\log_b(x)$, it answers the question "to what power must we raise $

1. The problem is to understand the logarithm of numbers greater than 1. 2. Recall that the logarithm function $\log_b(x)$ answers the question: "To what power must the base $b$ be

1. **State the problem:** Wema drove from town A to town B in 48 minutes at an average speed of 90 km/h. Aisha took 32 minutes to drive the same distance. We need to find the diffe

1. The problem gives a piecewise function: $$f(x) = \begin{cases} 4 - x & \text{if } x < 3 \\ 7 & \text{if } x = 3 \\ x^2 - 8 & \text{if } x > 3 \end{cases}$$

1. **State the problem:** Convert the recurring decimal $0.3$ (where 3 repeats indefinitely) to a fraction in simplest form. 2. **Set up an equation:** Let $x = 0.3333\ldots$ (the

1. **Stating the problem:** A person starts with an initial amount of money. 25% is stolen in a bus, 10% of the remainder is lost through a hole in the pocket, then 50% of the new

1. Let's clarify the problem to understand why the answer should be 80 instead of 77. 2. Please provide the original problem or equation so we can verify the calculations step-by-s

1. The problem involves analyzing inequalities with absolute values: (i) $|r + a - \sigma| > |r + a + \sigma|$

1. **Stating the problem:** A person starts with an initial amount of money. 25% is stolen, 10% of the remainder is lost, then 50% of the new remainder is spent on food, and finall

1. The problem asks to arrange a set of items in ascending order, but the specific items are missing from the question. 2. To solve such a problem, you would typically compare the

1. **State the problem:** We have a rectangular garden with length $x+4$ metres and width $x-4$ metres. The area is given as 180 m². We need to find the value of $x$ and then calcu

1. The problem asks to arrange a given set of items in ascending order. However, the specific items to be ordered are not provided in the question. 2. To solve an ascending order p

1. The problem asks to find the equation of a parabola given its vertex and x-intercepts. 2. The vertex is at $ (2, -1) $ and the x-intercepts are at $ x = -2 $ and $ x = 6 $.

1. **State the problem:** We need to find the values of constants $m$ and $c$ in the linear equation $y = mx + c$ given two points: when $x=3$, $y=20$ and when $x=4$, $y=40$. 2. **

1. Let's start by defining what a sequence and a series are. 2. A sequence is an ordered list of numbers, for example, $a_1, a_2, a_3, \dots, a_n$.

1. Problem 45 asks for the rate of depreciation. 2. Problem 46 asks for the original cost of the car.

1. The problem is to understand or interpret the expression "Y 1.75?" which seems incomplete or unclear. 2. If you meant to ask about the value of a variable Y equal to 1.75, then

1. Planteamos el problema: Encontrar el vértice, foco, directriz y eje de simetría de la parábola dada por la ecuación $$(y - 1)^2 = -5(x + 3)$$ 2. Identificamos la forma estándar