🧮 algebra

1. The problem is to express the fraction $\frac{1}{9}$ in decimal form. 2. Recall that dividing 1 by 9 results in a repeating decimal.

1. Problem stated: Given $a - b = b - c = 2$, find the maximum sum of the four-digit number $ab2c$ and the three-digit number $ab4$. Since $a - b = 2$ and $b - c = 2$, we can expre

1. Let's start by writing down the given expression clearly: $$6(3g + h) - 4(3g - h)$$ 2. Next, distribute the numbers 6 and -4 into the parentheses:

1. Let's clarify the problem: you asked why the expression $12g - 4h$ can become an addition. 2. The original expression $12g - 4h$ involves subtraction, not addition. However, sub

1. Let's first state the problem: you asked why the expression \(12g - 4h\) would become a plus sign in some context. 2. The expression \(12g - 4h\) involves a minus sign between \

1. **State the problem:** Expand the expression $$6 (3g + h) - 4 (3g - h)$$. 2. **Distribute the coefficients:** Multiply each term inside the parentheses by the coefficient outsid

1. The problem is to divide two ordered pairs: $ (3, -7) \div (3, 2) $. 2. Division directly for ordered pairs is not defined as usual division. Instead, we divide corresponding co

1. Il problema è dividere il numero 210 in due parti tali che siano proporzionali a 8 e 27. 2. Definiamo le due parti come $x$ e $y$, rispettivamente proporzionali a 8 e 27, quindi

1. Il problema chiede di trovare due numeri la cui somma è 156 e che sono in rapporto come 5 a 8. 2. Indichiamo i due numeri come $x$ e $y$ tali che $x + y = 156$.

1. Il problema richiede di calcolare il medio proporzionale tra 6 e 54. 2. Per definizione, il medio proporzionale tra due numeri $a$ e $b$ è un numero $x$ tale che il rapporto $\f

1. Solve the first expression step-by-step: \[ \left( (2.4+1)^{\frac{1}{5}} \cdot 4.375 - \left(\frac{2.75 - \frac{1}{5}}{2}\right)^{2} \right) \div \frac{67}{200} \]\nCalculate in

1. افترض أن لديك دالة مأخوذة من النموذج الذي طورته، ولنفترض أنها معطاة كـ $$f(x)$$. 2. لإيجاد الأصفار (الجذور)، نحتاج إلى حل المعادلة $$f(x) = 0$$.

1. **Simplify the expression:** Given $$\frac{\frac{6}{x} - \frac{1}{x}}{\frac{5}{x} - \frac{9}{x}}$$ Combine the terms in numerator and denominator:

1. **Problem statement:** We have two types of flour, X and Y, costing 60 and 72 per kg respectively. They are mixed to form a mixture costing 70 per kg. We need to find the ratio

1. **Problem Statement:** Given a relation $R$, find the ordered pairs with specified first and second entries, and determine the domain and range of various relations. 2. **Recall

1. সমস্যা: একটি অঙ্ক সমস্যা সুন্দর করে সমাধান করুন। 2. যেহেতু নির্দিষ্ট কোনো অঙ্ক সমাধানের তথ্য দেয়া হয়নি, আমি একটি সাধারণ রৈখিক সমীকরণের নমুনা সমাধান উপস্থাপন করছি:

1. The problem is to determine whether the given set of ordered pairs \([2,3], [5,5], [3,6], [7,6], [5,8]\) represents a function. 2. Recall that a relation is a function if each i

1. Given points: $(2,3)$, $(5,5)$, $(3,6)$, $(7,6)$, and $(5,8)$. 2. The problem appears to be a set of points in the coordinate plane.

1. প্রথম প্রশ্ন: ক একটি কাজ ২৫ দিনে করে। যদি খ ক-এর চাইতে ২৫% বেশি কর্মক্ষম হয়, তবে খ কাজটি কত দিনে করতে পারে তা নির্ণয় করব। 2. কর্মক্ষমতার সাথে কাজের সময়ের পারস্পরিক সম্পর্ক: যদি

1. The problem is to simplify the expression $$\frac{1-\left(\frac{1}{2}\right)^n}{1-\frac{1}{2}}$$. 2. First, simplify the denominator:

1. The problem is to simplify the expression $$\frac{1-(\frac{1}{2})x^n}{1-(\frac{1}{2})}$$. 2. Start by simplifying the denominator: $$1-\frac{1}{2} = \frac{2}{2} - \frac{1}{2} =