🧮 algebra

1. The problem is to calculate $5$ divided by $\frac{11}{2}$. 2. The formula for dividing by a fraction is to multiply by its reciprocal: $a \div \frac{b}{c} = a \times \frac{c}{b}

1. The problem asks us to graph a line with a slope of 7 that passes through the point (0, 3). 2. The formula for a line in slope-intercept form is $$y = mx + b$$ where $m$ is the

1. مسئله را بیان می کنیم: شما می خواهید یک مسئله ریاضی را با راه حل ساده و قابل فهم برای دانش آموز کلاس ششم داشته باشید. 2. فرض کنیم مسئله این است: حل معادله ساده $2x + 3 = 11$.

1. **State the problem:** A sum of 7200 is divided between A and B in the ratio 5:4. We need to find how much B gets. 2. **Formula and explanation:** When a total amount is divided

1. **State the problem:** Find the least common multiple (LCM) of 24 and 36. 2. **Recall the formula:** The LCM of two numbers $a$ and $b$ can be found using the formula:

1. The problem is to convert the decimal number 0.625 into a fraction. 2. To convert a decimal to a fraction, write the decimal as a fraction with denominator as a power of 10 base

1. **State the problem:** We are given the ratio of girls to boys as 3:5 and the total number of students is 40. We need to find how many are girls. 2. **Formula and explanation:**

1. The problem is to find the missing number in the bottom pie chart segment marked with a question mark (?). 2. We observe that the top two pie charts have segments:

1. The problem asks us to identify which number is irrational. 2. An irrational number is a number that cannot be expressed as a fraction $\frac{a}{b}$ where $a$ and $b$ are intege

1. **State the problem:** Solve the system of equations using the Gauss-Jordan method: $$\begin{cases} 2x + y - z = 8 \\ -3x - y + 2z = -11 \\ -2x + y + 2z = -3 \end{cases}$$

1. **State the problem:** Convert the mixed fractions given as percentages into decimal form. 2. **Convert 9 1/4 % to decimal:**

1. **பிரச்சினையை விளக்குதல்:** நமக்கு கொடுக்கப்பட்ட சமன்பாடு $$\frac{2x - 1}{3} = 5$$.

1. பிரச்சினையை விளக்குக: ஒரு வாடகை வாகனம் நேரம் மற்றும் தூரம் குறித்த வரைபடம் கொடுக்கப்பட்டுள்ளது. வாகனம் ஒரு மணித்தியாலத்திற்கு ரூபா 50 செலவிடுகிறது. 2. தரப்பட்ட வரைபடத்தைப் பார்க

1. সমস্যাটি হলো: পিতা ও পুত্রের বর্তমান বয়সের সমষ্টি ৬৩ বছর এবং তাদের বয়সের অনুপাত ৭:২। আমরা জানতে চাই, $9$ বছর পূর্বে তাদের বয়সের অনুপাত কত ছিল। 2. প্রথমে বর্তমান বয়স নির্ণয় করি।

1. The problem asks to find the value of $x$ in the equation $$\frac{3x-1}{2} = 5.$$\n\n2. The formula used here is to solve linear equations by isolating the variable $x$.\n\n3. F

1. نبدأ بكتابة المعطى: ص = 5^3 \tan s 2. المطلوب هو حساب \frac{ص \tan s}{s} = \frac{ص}{s} عند س = \frac{\pi}{4}

1. **Problem Statement:** We have the height of a ball given by the equation $$h = -4 (t - 3)^2 + 46.5$$ where $h$ is the height in metres and $t$ is the time in seconds after the

1. **Problem 10a:** Find a formula for the sum $$\frac{1}{1 \cdot 2} + \frac{1}{2 \cdot 3} + \cdots + \frac{1}{n(n+1)}$$

1. **State the problem:** Solve the system of equations using the Gauss-Jordan method: $$\begin{cases} 2x + y - z = 8 \\ -3x - y + 2z = -11 \\ -2x + y + 2z = -3 \end{cases}$$

1. **Problem:** Given that $10^x = 64$, find the value of $10^{\frac{x}{2} + 1}$.\n\n2. **Formula and rules:** We use the properties of exponents: $10^{a+b} = 10^a \times 10^b$ and

1. **State the problem:** We have a cubic polynomial $ax^{3}+bx^{2}+cx-4$. 2. When divided by $(x+2)$, the remainder is double the remainder when divided by $(x+1)$.