🧮 algebra

1. **State the problem:** Solve the equation \( \frac{3}{x+2} = \frac{5}{x+4} \). 2. **Cross multiply** to eliminate the denominators:

1. The problem is to add the mixed fractions $3 \frac{1}{4} + 3 \frac{5}{8}$. Step 1: Convert to improper fractions: $3 \frac{1}{4} = \frac{13}{4}$, $3 \frac{5}{8} = \frac{29}{8}$.

1. The problem states Mrs. Aseidu gave $\frac{1}{4}$ of the rice to Ama and $\frac{2}{3}$ to Kofi. 2. To find the fraction of rice left, we need to subtract these portions from the

1. Problem: Calculate the amount in a savings account after 1, 2, and 3 years with a principal of 20,000 at 3% per annum compounded annually. 2. The formula for compound interest i

**Bài số 2: Ôn tập phép tính và lũy thừa** ### Bài 1: Thực hiện phép tính

1. **State the problem:** Simplify and compute the given expressions step-by-step. 2. **Simplify each expression:**

1. The farmer uses $\frac{1}{3}$ of his land to plant cassava.\n\n2. The remaining land after planting cassava is $1 - \frac{1}{3} = \frac{2}{3}$.\n\n3. The farmer uses $\frac{1}{3

1. The problem is to find the sum of $\frac{1}{2} + \frac{2}{3}$. To add these fractions, first find a common denominator, which is the least common multiple of 2 and 3, i.e., 6.

1. **Stating the problem:** We are given several expressions involving parameters $\alpha$, $\beta$ with $\alpha \beta \neq 0$ and $D = (\alpha + \beta)^2 - (\alpha - \beta)^2$. We

1. The problem is to solve the equation $\text{solve}$, but it appears incomplete or missing specific details. 2. Please provide the full equation or problem statement to proceed w

1. Simplify: $ (3\sqrt{2} – 4\sqrt{3}) (2\sqrt{2} + 5) $. Multiply each term:

1. **State the problem:** We are given a function $y = \frac{x}{x^2 + 4}$ and a set of $x$ values: $-2, -1.5, -1.2, -1, -0.8, 1, 1.5, 2, 3, 4$, with corresponding $y$ values, some

1. **State the problem:** Let's solve $2x + 3 = 11$ using each rule step by step. 2. **Rule on inline math ($...$):** Use $2x + 3 = 11$ to show math inside text clearly.

1. The problem states the function is $y = x\x^2$ with a "+4" on top of $x$. 2. Interpreting the notation: Assuming the problem means $y = \frac{4+x}{x^2}$, which means "4 plus $x$

1. Let's start by understanding the given function. You mentioned it's $y=4x^2$ but with a $+x$ on top of the $4$. This suggests the function is $y=\frac{x+4}{x^2}$. 2. Rewrite the

1. **State the problem:** We need to find two consecutive even integers such that five times the smaller integer is less than four times the greater integer. 2. **Define variables:

1. **State the problem:** Given the function $y=\frac{4}{x^2+x}$ and the corresponding table of $x$ and $y$ values:

1. **State the problem:** Kevin wants to buy pencils at P4.50 each and has no more than P55.00 to spend. 2. **Define variables:** Let $x$ be the number of pencils Kevin can buy.

1. **State the problem:** Two planes are 3600 miles apart and fly toward each other. Their rates differ by 90 miles per hour. We need to find each plane's speed if they meet in 5 h

1. **State the problem:** We need to find how many kilograms of pili nuts priced at 75 pesos per kg should be mixed with 30 kg of cashew nuts priced at 100 pesos per kg to get a mi

1. Let's define the variables: Let $x$ be the number of hours Kerby spends running.