🧮 algebra

1. Masala: 1, 2, 3 va 5 sonlariga teskari proporsional boʻlgan toʻrtta qismga ajratish. 2. Teskari proporsional boʻlish sharti: agar sonlar $a, b, c, d$ teskari proporsional boʻlsa

1. Masalani bayon qilish: 540 sonini 3 va 4 ga 6 sonlariga teskari proporsional uchta qismga ajratish kerak. 2. Teskari proporsional bo'lish sharti: agar uchta qism $x$, $y$, $z$ b

1. Bài toán yêu cầu tìm giá trị nhỏ nhất của biểu thức $$|7x-2026| + |2025+7x|$$. 2. Ta đặt $$a = 7x$$ để biểu thức trở thành $$|a - 2026| + |2025 + a|$$.

1. **State the problem:** Solve the inequality $40 - 2n \leq 3n$. 2. **Write the inequality:**

1. **Solve the simultaneous equations:** Given:

1. **State the problem:** Solve the simultaneous equations: $$3x + 7y = 54$$

1. Bài toán yêu cầu tìm giá trị nhỏ nhất của biểu thức $$ (7x - 2026) + (2025 + 7x) $$. 2. Ta bắt đầu bằng cách rút gọn biểu thức:

1. **Solve the inequality** $\frac{r}{2} + 15 > 45$. 2. Subtract 15 from both sides:

1. **Stating the problem:** Solve the inequality $x + 8 \geq 2$.

1. **State the problem:** We are given the number of plates for stacks 2, 3, 4, and 5, and we need to find the missing number of plates for 1 stack. 2. **Identify the pattern:** Th

1. Let's clarify the problem to ensure we understand what is being solved. 2. If the answer is 28, we need to verify the steps or the formula used.

1. **Stating the problem:** We have a sequence of cycles counted at cycle stands: 0, 6, 12, 18, and a missing value at the fifth position. The cycle stands are numbered 0, 1, 2, 3,

1. **Solve the equation** $x - 3.5 = 4.75$. Start by isolating $x$:

1. The problem asks us to find the unit rate of offices per floor given 24 offices on 8 floors. 2. The formula for unit rate is \text{Unit Rate} = \frac{\text{Total Quantity}}{\tex

1. **State the problem:** We need to find the unit rate of miles per minute given 60 miles in 5 minutes. 2. **Formula:** The unit rate is found by dividing the total miles by the t

1. **State the problem:** We need to find the unit rate of passengers per bus given 120 passengers in 4 buses. 2. **Formula:** The unit rate is found by dividing the total quantity

1. **State the problem:** We have a flour to sugar ratio of 4 cups flour to 1 cup sugar. We want to find how much sugar is needed if we use 2 cups of flour. 2. **Formula and explan

1. **State the problem:** Peter runs 1 mile in 7 minutes and 30 seconds. We want to find how many miles he can run in 15 minutes. 2. **Convert time to a consistent unit:** 7 minute

1. **State the problem:** We need to find the width of a box when the length is 30 inches, given the length to width ratio is 6:1. 2. **Formula and explanation:** The ratio means \

1. **State the problem:** Factor the polynomial $$x^4 + x^3 + x^2 + x$$. 2. **Identify common factors:** Notice that each term contains at least one factor of $$x$$.

1. The first set is \{(1,2), (3,4), (5,6), (7,8), (9,10)\}. Each input (first element) is unique and maps to a unique output (second element). This means no two different inputs sh