🧮 algebra

1. **State the problem:** A man shared livestock among three children: Ama, Kofi, and Yaw. Ama had $\frac{2}{5}$ of the livestock, Kofi had $\frac{3}{7}$ of the livestock, and Yaw

1. The problem asks for the domain of the function given by the set of ordered pairs \{(-2,1), (-1,6), (0,11), (1,16), (2,21)\}. The domain is the set of all input values (x-values

1. Stating the problem: Solve the system of equations: $$4x - 3y = 17$$

1. **State the problem:** Sharon has a blood test every 75 days and a fitness test every 110 days. Both tests were done on the same day before the training started. We need to find

1. **State the problem:** Solve the system of equations: $$2x - 3y = 17$$

1. The problem is to find the linear equation in slope-intercept form $y = mx + b$ that fits the given table of values: $(0,9), (1,17), (2,25), (3,33)$. 2. First, find the slope $m

1. **State the problem:** We are given a table of values for $x$ and $y$ and need to find the linear equation relating $y$ to $x$. 2. **Identify the points:** The table gives point

1. **State the problem:** We are given a table of values for $x$ and $y$ and need to find the linear equation in slope-intercept form $y = mx + b$ that fits the data. 2. **Identify

1. **State the problem:** We are given a table of values for $x$ and $y$ and need to find the linear equation in slope-intercept form $y = mx + b$ that fits the data. 2. **Analyze

1. **State the problem:** We are given a table of values for $x$ and $y$ and need to find the linear equation that relates $y$ to $x$. 2. **Identify points:** The table gives point

1. **State the problem:** Solve the differential equation $$|z| = r (\cos \theta + z \sin \theta)$$ where $z$ is the variable and $r$, $\theta$ are constants. 2. **Rewrite the equa

1. The problem is to simplify the expression given by the user. However, the user did not provide any expression or equation to solve. 2. Please provide a specific algebraic expres

1. The problem involves two equations: $$15p = 25 \cdot st2 = 25p$$ and $$15p = 25 \cdot st2 - 25$$.

1. Problem 1: The ratio of paisa, 25 paisa, and 50 paisa coins is 11:15:20. Find the value of all 50 paisa coins in rupees. Step 1: Let the number of coins be $11x$, $15x$, and $20

1. The problem involves understanding the linear equation $y = mx + b$, where $y$ represents the dollars in the account, $x$ is the number of hours, $m$ is the rate of change (slop

1. **State the problem:** We are given the difference between Simple Interest (SI) and Compound Interest (CI) for 3 years as 453, with a principal of 2500 and an unknown rate $x$%

1. The problem asks us to find the intervals where the function is increasing based on the given points and line segments. 2. The points are (1,6), (2,3), (4,5), (6,4), (7,6), and

1. **State the problem:** Aaron starts with $0 in his bank account and earns $12 per hour babysitting. We want to find how much money he has after 0, 1, 2, and 3 hours. 2. **Write

1. The problem gives the volume formula $v = 8 + 4x$, where $v$ is the volume in milliliters and $x$ is the number of cubes. 2. To find the volume when there are 6 cubes, substitut

1. The problem is to simplify and understand the expression $$b_n = e^n + 2n(1 + 3e^n)^2$$. 2. First, expand the squared term $$(1 + 3e^n)^2$$ using the binomial formula $$(a+b)^2

1. The problem states that the volume $v$ in the container depends on the number of cubes $x$ according to the equation: $$v = 8 + 4x$$