🧮 algebra

1. The problem asks to express 80% as a fraction in simplest form. 2. Recall that percent means "per hundred," so 80% can be written as the fraction $\frac{80}{100}$.

1. The problem asks to convert the fraction \( \frac{9}{20} \) into a percentage.\n2. To convert a fraction to a percentage, multiply it by 100.\n3. Calculate \( \frac{9}{20} \time

1. Problem: Find the relation, domain, and range representing the shaded region given three graphs. For (a): The shaded region R lies above the parabola $$y=x^2$$ between $$x=-2$$

1. State the problem: Solve for $k$ in the equation $$\frac{96}{k} = 3$$. 2. To isolate $k$, multiply both sides of the equation by $k$ to get rid of the denominator:

1. **Stating the problem:** Solve the quadratic equation $$x^{2} - 5x = 0$$. 2. **Rewrite the equation:** Factor out the common term $$x$$:

1. **State the problem:** Solve the quadratic equation $x^2 - 5x = 0$. 2. **Rewrite the equation:** Factor the left-hand side.

1. State the problem: Solve the quadratic equation $$n^2 - 11n + 18 = 0$$. 2. Factor the quadratic equation by finding two numbers that multiply to 18 and add to -11. These numbers

1. Stating the problem: Solve the quadratic equation $$y^2 + 2y - 8 = 0$$. 2. Use the quadratic formula: For equation $$ay^2 + by + c = 0$$, solutions are $$y = \frac{-b \pm \sqrt{

1. Problem restatement: We need to find the value of $f(f(2))$ given the graph of $y = f(x)$ that starts near 0, rises to about 3 at $x = 2.5$, and descends to 0 at $x = 5$. 2. Ste

1. Problem 3a: Given the augmented matrix $$\begin{bmatrix} 1 & -3 & 4 & 7 \\ 0 & 1 & 2 & 1 \\ 0 & 0 & 1 & 3 \end{bmatrix}$$

1. **Stating the problem:** A cyclist travels a distance $x$ miles at 10 mph and returns the same distance at 8 mph. We need to find the average speed for the entire round trip.

1. The problem states that Jimmy made a 15% profit on the sale of a boat which originally cost N15,000. 2. To find the selling price, we need to calculate 15% of the original cost

1. **State the problem:** We know the winner receives half (\(\frac{1}{2}\)) of the total prize money and gets N6,000.

1. **State the problem:** Given that 1 inch on the map represents 20 miles in reality, and the distance between two towns on the map is 6 1/5 inches, find the actual distance betwe

1. Let's start by defining what a rational number is. 2. A rational number is any number that can be expressed as the quotient or fraction $\frac{a}{b}$, where $a$ and $b$ are inte

1. **State the problem:** A student took 5 classes with given credit hours and received letter grades. We need to find the GPA using a 4.0 scale (A=4, B=3, C=2). 2. **List the clas

1. **Stating the problem:** Julie buys a flute for N306 after two discounts: first 10% for students, then an additional 15% during a sale. We need to find the original price of the

1. Uzdevums: Atrisināt vienādojumus. 2. a) Atrisināsim vienādojumu $$\frac{4}{x} = 5 - x^2$$, izmantojot grafiku.

1. The problem is to write the number $8.6 \times 10^{-3}$ as an ordinary decimal number. 2. Recall that $10^{-3}$ means $\frac{1}{10^3} = \frac{1}{1000}$.

1. The problem asks us to convert the number given in scientific notation $3.46 \times 10^6$ into an ordinary number. 2. Scientific notation means we multiply $3.46$ by $10$ raised

1. **State the problem:** We need to divide $4.37 \times 10^{8}$ by $7.13 \times 10^{-3}$ and express the answer in standard form to 3 significant figures. 2. **Write down the divi