🧮 algebra

1. **State the problem:** Find the Highest Common Factor (HCF) of 40 and 50. 2. **Formula and rules:** The HCF of two numbers is the largest number that divides both without leavin

1. **State the problem:** Find the least common multiple (LCM) of 10 and 4. 2. **Formula and rules:** The LCM of two numbers is the smallest positive integer that is divisible by b

1. The problem is to find the least common multiple (LCM) of 8 and 4. 2. The LCM of two numbers is the smallest positive integer that is divisible by both numbers.

1. **State the problem:** Find the least common multiple (LCM) of 8 and 4. 2. **Formula and rules:** The LCM of two numbers is the smallest positive integer that is divisible by bo

1. Muammo: Kumush va misdan iborat qotishmaning og’irligi 2 kg. Kumushning og’irligi mis og’irligining $\frac{7}{9}$ qismini tashkil etadi. Kumushning og’irligini toping. Formulala

1. **State the problem:** We are given a graph of a function $f$ and need to find the values $f(-14)$, $f(0)$, and $f(-7)$ from the graph. 2. **Analyze the graph:** The graph is a

1. Muammo: Qotishmaning 60% misdan iborat va mis qo’rg’oshindan 2 kg ko’p. Qotishmada qancha mis bor? Formulalar:

1. Bir ishchi buyurtmani 6 soatda, boshqasi esa 10 soatda bajaradi. Ular birgalikda 3 soat ishlaganglaridan keyin ishning qancha qismi bajarilmay qoladi? Ishchi 1 soatda ishning $\

1. Masala: Anvarning o'ziga suv 20 kunga, uksagiga 60 kunga yetadi. Ikkalasi birga necha kunga yetadi? Formulasi: Ikkala odamning bir kunda ishlatadigan suv miqdori qo'shiladi, key

1. Probleem: teisendada protsent kümnendmurruks, säilitades 4 kohta pärast koma. 2. Valem protsendi teisendamiseks kümnendmurruks on $$\text{kümnendmurd} = \frac{\text{protsent}}{1

1. **Problem:** Evaluate the expression $$\frac{0.13 \times 0.3 - 0.003}{0.09}$$ without using a calculator or tables. 2. **Formula and rules:** We use basic arithmetic operations

1. **Problem:** Evaluate the expression $$\frac{0.13 \times 0.3 - 0.003}{0.09}$$ without using a calculator or tables. 2. **Formula and rules:** Multiplication and subtraction of d

1. **State the problem:** We are given the function $f(x) = -\left(\frac{5}{2}\right)^x$ and want to understand its behavior and graph. 2. **Formula and rules:** This is an exponen

1. **State the problem:** We need to graph the exponential function $$f(x) = - \left(\frac{3}{5}\right)^{-x}$$ and plot five points on its graph, as well as draw the horizontal asy

1. **State the problem:** We have two rectangles, one inside the other. The larger rectangle has side lengths $2x + 1$ and $4x + 3$. The smaller rectangle inside has side lengths $

1. Masalah yang diberikan adalah menghitung jumlah dari rumus $P_n = P_0 (1+r)^n - o$. 2. Rumus ini biasanya digunakan untuk menghitung nilai suatu jumlah setelah $n$ periode denga

1. The problem shows pairs of numbers stacked vertically in rectangles: (1,2), (3,2), (7,4), (19,24), and asks for the next pair. 2. We need to find a pattern or rule that relates

1. Stating the problem: Solve the linear equation $3x - 4 \frac{1}{2} = -19 \frac{1}{2}$. 2. Convert mixed numbers to improper fractions or decimals for easier calculation:

1. **State the problem:** Solve the linear equation $-5m - 10 = 0$ for $m$. 2. **Formula and rules:** To solve for $m$, isolate the variable by performing inverse operations. Remem

1. **State the problem:** Simplify the expression $4(-23x + 8b)$. 2. **Formula used:** Use the distributive property $a(b + c) = ab + ac$ to multiply each term inside the parenthes

1. **State the problem:** We are given the expression $-5m - 10$ and asked to find the value of $m$. However, the problem as stated is incomplete because it does not provide an equ