🧮 algebra

1. **State the problem:** Solve the equation $$200 - (x - 30) \times 50 = \square$$ for $x$. 2. **Rewrite the equation:**

1. The problem is to convert the fraction \(\frac{1}{4}\) into decimal form. 2. The formula to convert a fraction to decimal is to divide the numerator by the denominator.

1. **State the problem:** Find the distance between the points $(-3,4)$ and $(5,1)$. 2. **Formula used:** The distance $d$ between two points $(x_1,y_1)$ and $(x_2,y_2)$ is given b

1. **Stating the problem:** Multiply the three fractions $\frac{4}{5}$, $\frac{20}{9}$, and $\frac{18}{8}$.\n\n2. **Formula used:** To multiply fractions, multiply the numerators t

1. The problem is to solve the equation or expression labeled as "oef 9" (exercise 9). Since the exact problem is not provided, please provide the full problem statement for accura

1. **Stel het probleem vast:** We lossen de eerste oefening op, namelijk 8) Het gemiddelde van een rij getallen is 38. We bepalen het nieuwe gemiddelde als elk waarnemingsgetal wor

1. **State the problem:** Write the expression $\frac{8}{\sqrt{3}}$ in the form $\frac{a\sqrt{b}}{c}$ where $a$, $b$, and $c$ are integers. 2. **Formula and rule:** To rationalize

1. **State the problem:** Expand and simplify the expression $$(3 + \sqrt{7})(4 + \sqrt{7})$$. 2. **Formula used:** Use the distributive property (FOIL method) for binomials: $$(a

1. **State the problem:** Expand and simplify the expression $$\sqrt{8} (\sqrt{50} - 10\sqrt{10})$$. 2. **Recall the properties of square roots:**

1. **Problem statement:** Solve the logarithmic equations: 3) $$\log_3^2 x + \log_3 x^2 = 8$$

1. **State the problem:** We are given two functions $f(x) = \frac{x+4}{x}$ and $g(x) = x+3$. We need to find the composition $(f \circ g)(x)$, which means $f(g(x))$, and then dete

1. **State the problem:** A city starts with a population of 62,000 and after 25 years, the population is 78,000. We need to find how much the population increases each year. 2. **

1. **State the problem:** Henny spends 95 buying 2 identical pants, 1 shirt, and 1 hat. The shirt and hat each cost 16. We need to find the price of each pair of pants. 2. **Write

1. **State the problem:** We are given two linear equations: $$y = \frac{7}{2}x - 3$$

1. The problem is to analyze and graph the system of linear equations: $$y=\frac{7}{2}x - 3$$

1. **Problem:** Find how high a ball goes, and do an example with a drawing. 2. **Formula used:** For vertical motion, the height is often modeled by

1. The problem asks to write the number 0.007752 in scientific notation. 2. Scientific notation expresses a number as $a \times 10^n$ where $1 \leq |a| < 10$ and $n$ is an integer.

1. The problem asks to rewrite the expression $3^{-4}$ without using an exponent. 2. Recall the rule for negative exponents: $a^{-n} = \frac{1}{a^n}$ where $a \neq 0$ and $n$ is a

1. El problema es representar una función lineal que pase por dos puntos o que tenga una pendiente dada. 2. La fórmula general de una función lineal es $$y = mx + b$$ donde $m$ es

1. **State the problem:** Multiply the fractions $\frac{2}{3}$ and $\frac{7}{9}$. 2. **Formula for multiplying fractions:** To multiply two fractions, multiply the numerators toget

1. **State the problem:** Multiply the fractions $\frac{4}{7}$ and $\frac{8}{9}$. 2. **Formula:** To multiply fractions, multiply the numerators together and the denominators toget