🧮 algebra

1. **State the problem:** We need to find how many times taller a piece of lumber is compared to an average human hair. 2. **Given values:**

1. **State the problem:** We want to find how many times more mass a sheep has compared to a cat. 2. **Given data:**

1. **State the problem:** We want to find how many times more people live in New York City than in Baltimore in 2020. 2. **Given data:**

1. Het probleem is om het kleinste gemene veelvoud (kgv) van de getallen 9, 3 en 6 te vinden. 2. De formule voor het kgv van meerdere getallen is: $$\text{kgv}(a,b,c) = \frac{|a \t

1. The problem is to graph the function $f(x) = 2 - \frac{2}{4}x$. 2. First, simplify the function. Since $\frac{2}{4} = \frac{1}{2}$, the function becomes:

1. The problem involves calculating reimbursement amounts based on percentages of ticket price and baggage value for different time intervals and baggage conditions. 2. The formula

1. **State the problem:** Calculate the reimbursement amount for passenger #1 whose baggage was delayed for 3 hours and ticket price is 220. 2. **Identify the correct reimbursement

1. The problem is to understand and apply the concept of functions, including definitions, types, domain, range, and related properties. 2. A function $f$ from a set $A$ to a set $

1. **State the problem:** Given the equality $$\frac{x^{n+1}}{a^n} = \frac{y^{n+1}}{b^n} = \frac{z^{n+1}}{c^n} = a+b+c,$$ show that $$\left(\frac{n}{x^{n+1}} + \frac{n}{y^{n+1}} +

1. The problem states: Half of a number is 8. We need to find a quarter of that number. 2. Let the number be $x$.

1. **State the problem:** Simplify and verify the equality: $$\sqrt{49} \cdot \sqrt[3]{14} \cdot \sqrt[5]{48} = \sqrt[10]{6^7} \cdot \sqrt[6]{7^5} \cdot \sqrt[15]{2^{14}}$$

1. **State the problem:** Simplify the function $f(x) = \frac{3x^4}{x^3}$. 2. **Recall the exponent rule:** When dividing powers with the same base, subtract the exponents: $$\frac

1. The problem asks: How much more pink wax was used in the candle jar with the most pink wax than in the candle jar with the least pink wax? 2. From the line plot data, the candle

1. **Problem:** Solve the inequality $$4 - x \leq 10$$ and graph the solution. 2. **Formula and rules:** To solve inequalities, isolate the variable on one side. Remember, when mul

1. **Stating the problem:** We have the line equation $$3x - 2y = a$$ and it cuts the y-axis at point $$P(0,4)$$. We need to find the constant $$a$$ and then find the x-intercept p

1. **State the problem:** We analyze the piecewise linear graph with points (-5, -2), (-3, 3), (-1, 3), (2, 5), (4, 1), and (6, 3) to identify intervals of increase, decrease, cons

1. **State the problem:** We are given a piecewise linear graph with points at (-5, -3), (-3, 1), (-1, 1), (1, 3), (3, 4), (4, 0), and (6, 2). We need to identify intervals where t

1. **State the problem:** Solve the quadratic equation $$8x^2 - 19x + 6 = 0$$ for $x$. 2. **Formula used:** To solve a quadratic equation of the form $$ax^2 + bx + c = 0$$, use the

1. **State the problem:** We need to find the pre-tax cost of the jeans given the final cost including tax is 37.82 and the tax rate is 6.5%. 2. **Formula used:** The final cost in

1. **State the problem:** Solve the system of equations: $$\sqrt{x} + 2y = 2$$

1. **State the problem:** We need to find the original bill amount before the 12% tip was added, given the final bill is 51.28. 2. **Formula used:** If the original bill is $x$, th