🧮 algebra
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Percent To Decimal
1. The problem is to convert 185% to a decimal.
2. Recall that percent means per hundred, so 185% means 185 per 100.
Percentage Calculation
1. **State the problem:** Calculate 2.1% of 700.
2. **Formula:** To find a percentage of a number, use the formula:
Fraction To Percentage
1. The problem asks to convert the fraction $\frac{1}{20}$ into a percentage.
2. To convert a fraction to a percentage, use the formula: $$\text{Percentage} = \left(\frac{\text{Num
Polynomial Inequalities
1. Problema: Resolver la inecuación $$(x + 2)(x - 1)(x - 3) > 0$$
2. Fórmula y reglas: Para resolver inecuaciones polinómicas factorizadas, identificamos los ceros (raíces) y anali
Percentage Calculation
1. The problem asks to find 0.7% of 13 450.
2. To find a percentage of a number, use the formula:
Fraction To Decimal
1. The problem is to convert the fraction $\frac{1}{20}$ into a decimal.
2. To convert a fraction to a decimal, divide the numerator (top number) by the denominator (bottom number)
Vector Basics
1. **Stating the problem:** We want to understand the concept of vectors, their properties, and operations such as addition, subtraction, and scalar multiplication.
2. **Definition
Solve Linear System
1. **State the problem:** Solve the system of equations:
$$x = -2 - 3y$$
Persamaan Kuadrat
1. Mari kita buat soal matematika sekelas SMA tentang persamaan kuadrat.
2. Soal: Tentukan akar-akar dari persamaan kuadrat $$2x^2 - 4x - 6 = 0$$.
Rational Function
1. The problem is to analyze the function $y=\frac{2}{x}-1$.
2. This is a rational function where $y$ depends on $x$ as $y=\frac{2}{x}-1$.
Funcion Racional
1. El problema es resolver la función $$Y=\frac{3}{x}+2$$ para diferentes valores de $x$ o analizar su comportamiento.
2. La función es una suma de un término racional $$\frac{3}{x
Barisan Aritmetika
1. Diketahui suku ke-3 ($a_3$) dan suku ke-10 ($a_{10}$) dari barisan aritmetika adalah 11 dan 67.
2. Rumus suku ke-n barisan aritmetika adalah $$a_n = a_1 + (n-1)d$$ di mana $a_1$
Fraction Decimals
1. The problem involves converting fractions and mixed numbers to decimals and understanding rational numbers.
2. To convert a fraction $\frac{a}{b}$ to a decimal, divide $a$ by $b
Medal Comparison
1. **Problem Statement:** Manshakti wants to conclude which country won more total medals based on the given percentages of gold medals and the number of gold medals won by Indones
Ecuaciones Descomposicion
1. Problema: Resolver la ecuación $x^2 - x - 6 = 0$ por descomposición.
2. Fórmula y regla: Buscamos dos números que multiplicados den $-6$ y sumados den $-1$ (coeficiente de $x$).
Temperature Difference
1. **Problem Statement:** We need to find the day with the greatest difference between the maximum and minimum temperatures from the given data.
2. **Formula:** The difference in t
Cycles Pour
1. Le problème consiste à comprendre d'où vient le facteur $10^{-8}$ dans l'équation donnée : $$30 \times 10^{-6} \times 10^{-8} = 3000 \text{ cycles}.$$\n\n2. Cette équation sembl
Line Division Matrix Velocity
1. Problem 13: Points A(-4,7), B(4,1), and C(16,-8) lie on a straight line. Find the ratio in which B divides AC.
Formula: If point B divides segment AC in ratio $m:n$, then coordi
Quadratic Formula
1. The problem is to solve quadratic equations using the quadratic formula:
$$x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}$$
Quadratic Equation
1. **State the problem:** Solve the quadratic equation $$-x^2 - x - 6 = 0$$.
2. **Rewrite the equation:** Multiply both sides by $$-1$$ to make the leading coefficient positive:
Builders Work
1. **Problem statement:**
We have 20 builders working 7 hours a day finishing a building in 30 days.