🧮 algebra

1. ਸਵਾਲ ਦਾ ਅਰਥ ਹੈ ਕਿ ਦੋ ਸੰਖਿਆਵਾਂ $x$ ਅਤੇ $y$ ਹਨ ਜਿਨ੍ਹਾਂ ਦਾ ਅਨੁਪਾਤ $9:16$ ਹੈ ਅਤੇ ਉਹਨਾਂ ਦਾ ਮੱਧ ਅਨੁਪਾਤ (mean proportional) $24$ ਹੈ। 2. ਅਨੁਪਾਤ $9:16$ ਦੇ ਅਰਥ ਇਹ ਹੈ ਕਿ $\frac{x}{y} = \fr

1. Find the equation of the line passing through points (1, 4) and (3, 5). The slope is $m = \frac{5-4}{3-1} = \frac{1}{2}$.

1. Problem statement: The maximum possible score is $N$, and the pass mark is $45\%$ of $N$, i.e., $0.45N$. 2. A candidate obtains 36 marks but falls short of the pass mark by 68%.

1. Find the equation of the straight line passing through points (1, 4) and (3, 5). The slope $$m= \frac{5-4}{3-1}=\frac{1}{2}$$.

1. State the problem: The salaries of Rafayet, Nihan, and Shafiul were in the ratio $6:5:7$ in 2010 and changed to $3:4:3$ in 2015. Rafayet's salary increased by 25% from 2010 to 2

1. Stating the problem: The number of girls appearing for the test is twice the number of boys. Let the number of boys be $B$ and the number of girls be $G=2B$. 2. Admission rates:

1. The problem asks for the linear equation that represents the additional hourly parking rate $x$ past the base 2 hours. 2. From the table, the cost for 2 hours is $3.50$, which i

1. Stating the problem: Solve the equation involving absolute values: $$|2x - 1| = 3 |x + 1|$$

1. Muammo: 19/30 m uzunlikdagi simdan hamma tomonlari teng bo‘lgan uchburchak yasash uchun yana 8/30 m sim kerak bo‘ldi. Uchburchak tomoni uzunligini toping. 2. Uchburchakning tomo

1. Masala: To‘g‘ri kasrni to‘g‘ri kasrga bo‘lish amallari to‘g‘ri yoki noto‘g‘ri bajarilganligini aniqlash. 2. Esda tutamiz: To‘g‘ri kasrni to‘g‘ri kasrga bo‘lish uchun birinchi ka

1. The problem states: Given the ratios $A : B = 7 : 9$ and $B : C = 3 : 4$, find the combined ratio $A : B : C$. 2. To find $A : B : C$, we need a common term for $B$ in both rati

1. Muammo: Azizbekdagi konfetlar sonini topish. Ma'lum: - Azizbekdagi konfetlarning $\frac{3}{8}$ qismi Maftunadagi konfetlarning uch baravariga teng.

1. The problem asks for the average of the squares of the first 121 natural numbers. 2. The first 121 natural numbers are $1, 2, 3, \ldots, 121$.

1. Muammoni tushunamiz: Aziz, Kozim va Javlonning pullari haqida ma`lumotlar mavjud. Maqsad Javlonning puli necha so`m ekanini topish. 2. Belgilaymiz:

1. The problem asks to find 7.6% of 760. 2. Recall that percentage means per hundred, so 7.6% = \frac{7.6}{100}.

1. **Stating the problem:** The production of food grains increased by 40% and the per capita production increased by 27%. We need to find the percentage increase in population dur

1. The problem states the base rate for up to 2 hours is $3.50. Additional hours beyond 2 are charged at an hourly rate $x$. 2. From the table, the cost for 3 hours is $9.00$, for

1. Problem: The total production of food grains increased by 40% and the per capita production increased by 27%. We need to find the approximate percentage increase in population.

1. **Problem Statement:** We are given that 20% of employees work in manufacturing, and the total salary of manufacturing employees is one-sixth of the total salary of all employee

1. Solve the inequality $3 + x > 5$ and represent the integral solutions on the number line from -4 to 8. Step 1: Subtract 3 from both sides:

1. **Problem:** Simplify and evaluate \( \frac{2}{3} \times \frac{4}{3} + \frac{12}{9} \). Step 1: Multiply fractions \( \frac{2}{3} \times \frac{4}{3} = \frac{2 \times 4}{3 \times