🧮 algebra

1. The problem asks to convert the fraction $\frac{8}{20}$ to a percentage. 2. To convert a fraction to a percentage, divide the numerator by the denominator and then multiply by 1

1. **Stating the problem:** Add the two very large numbers: $$1000000000000000000000000 + 9179274828672936491973829264839274820384728946190275728374728$$. 2. **Write the numbers cl

1. The problem asks us to find the value of each interval on two number lines using the formula: Difference between the start and end points \div the number of intervals

1. The problem asks to find the square root of 144. 2. The square root of a number $x$ is a number $y$ such that $y^2 = x$.

1. Let's start by stating the problem: Solve for $d$ in the equation $$68 - 14d + 9d = 48$$. 2. Combine like terms involving $d$: $$-14d + 9d = -5d$$, so the equation becomes $$68

1. The problem is to simplify the expression $$3^3 t^4 \div 3^2 t^2$$. 2. We can rewrite the division as the multiplication by the reciprocal:

1. **State the problem:** The principal amount becomes 5 times in 12 years. We want to find how many times the principal will become in 27 years. 2. **Understand the problem:** The

1. The problem is to evaluate the expression $5(17)2 / 103$. 2. First, calculate the multiplication inside the numerator: $5 \times 17 \times 2$.

1. Stating the problem: Simplify the expression $$3^2 \times 6 \times 4 \div 3 \times 2 \times 6 \times 2$$. 2. First, evaluate the exponent: $$3^2 = 9$$.

1. **State the problem:** We are given the sum of the first 10 terms of an arithmetic progression (A.P.) as 240 and the 8th term as 34. We need to find the common difference $d$ of

1. State the problem: Solve the exponential equation $$12^{x-2} = 3^{3x} \cdot 2^{6x}$$ for $x$. 2. Express all terms with prime factors: Note that $12 = 2^2 \cdot 3$, so $$12^{x-2

**المعيار: حل المعادلات باستخدام المعاملات النسبية** 1. حل المعادلة $\frac{1}{2} y = 3 \frac{3}{10}$

1. State the problem: Solve the equation $12^x - 2 = 3^{3x} \cdot 2^{6x}$ for $x$.\n\n2. Express bases with prime factorization: $12 = 2^2 \cdot 3$, so $12^x = (2^2 \cdot 3)^x = 2^

1. Simplify $5y^{2} \times 4y^{4}$: Multiply coefficients: $5 \times 4 = 20$

1. You asked to graph and solve an equation, but you did not specify the equation itself. 2. Please provide the exact equation or function you want to solve and plot so I can assis

1. **State the problem:** We have 12 oranges that need to be divided into bags. Each bag must have the same number of oranges.

1. We are given the equation $$\frac{8}{5} = \frac{?}{20}$$ and need to find the missing numerator. 2. To solve for the missing number, we use the property of equivalent fractions

1. The problem provides a system of linear equations: $$4x - 2y = 24$$

1. \text{Рассмотрим уравнение: } x^2 - 5x + 6 = 0. 2. \text{Факторизуем } x^2 - 5x + 6 \text{ как } (x - 2)(x - 3) = 0.

1. **State the problem:** Given the ratios $\frac{a}{b} = \frac{3}{5}$ and $\frac{b}{c} = \frac{4}{5}$, find the ratio $a : b : c$ in simplest form.

1. The problem involves understanding the use of equations like $P(x) \rightarrow Q(x)$, which typically denotes that $P(x)$ implies $Q(x)$ or a transformation from one function or