🧮 algebra

1. Calculate 3% of 1,245.38. 3% means 3 out of 100, so we convert the percent to a decimal: $3\%=\frac{3}{100}=0.03$.

1. **Problem 4.1** involves understanding Moshe's constant speed from the table and answering related questions. 2. **Given table for travel:**

1. The problem is to find the expression for the graph that should be plotted on Desmos. 2. Since the user did not specify any function or equation, we will assume a generic form.

1. Problem: Complete the tables and plot the points for each given rule. 2. For (a) $y = x + 2$, substitute each $x$:

1. **Stating the problem:** We need to predict if the decimal form of each given fraction is terminating or non-terminating (repeating). 2. **Recall:** A fraction \( \frac{a}{b} \)

1. Let's start with the given equation: $y = x + 2$. 2. This is a linear function where $y$ depends on $x$ plus a constant value 2.

1. **Understanding the Problem:** We are given a pattern of relationships between pairs of letters.

1. المسألة: إثبات أن الدالتين $$h(x) = \sqrt{x + 1} - 1$$ و $$k(x) = \frac{x}{\sqrt{x + 1} + 1}$$ متساويتان على المجال $$]-1 ; +\infty[$$. 2. نبدأ بحساب تعبير $$k(x)$$ ونبسطه:

1. Problem: Expand the squares for the expressions: $$(x - 1)^2, (1 - x)^2, (x - 2)^2$$

1. **Problem statement:** A trader mixes 26 kg of rice costing Rs. 20 per kg with 30 kg of another variety costing Rs. 36 per kg and sells the mixture at Rs. 30 per kg. We need to

1. The problem provides several sets of numbers and asks to identify which option (a, b, c, or d) relates correctly to the given sequence. 2. The input sequence is: 16, 26, 56, 36,

1. We are asked to determine whether each inequality or equality statement involving fractions and decimal numbers is True or False. 2. For each item, we convert the fraction to it

1. Let's start by stating the problem: You want complicated math problems solved with detailed steps. 2. Since no specific problem was provided, here is a challenging algebra probl

1. Problem: The sum of the first 10 terms ($S_{10}$) of an A.P is 240 and the 8th term ($a_8$) is 34. Find: a. The common difference ($d$)

1. The problem is to simplify the expression $\sqrt[3]{34} \times \sqrt[3]{2}$. 2. Recall the property of cube roots: $\sqrt[3]{a} \times \sqrt[3]{b} = \sqrt[3]{a \times b}$.

1. **State the problem:** Solve the system of equations: $ (3x - 1) = 2.2x + 2x + 4 $

1. We are given the equation $\frac{1}{14} = \frac{81}{14}x^2 + \frac{20}{7}x^2$ and asked to solve for $x$ step-by-step. 2. First, notice that the right side has two terms involvi

1. The problem involves evaluating and solving multiple absolute value expressions and equations. 2. For the expressions like $|4|, |-3|, |2 - 5|, |6 - 6|, |-1.7|, |-3 \frac{5}{11}

1. **State the problem:** Solve the equation $$\frac{1}{14} = \frac{81}{14x^2} + \frac{20}{7x^2}$$ for $x$. 2. **Find the common denominator:** The denominators are $14x^2$ and $7x

1. **State the problem:** We want to find the value of $a$ such that \(x^2 - 14x + 49 = (x - a)^2\). 2. **Recall the expansion:** The right side is a perfect square trinomial, expa

1. State the problem: Fully factorise the cubic expression $$x^3 - 25x$$. 2. Factor out the common factor: Both terms have a common factor of $$x$$, so factor it out: