🧮 algebra

1. The problem asks to find 3% of 84. 2. To find a percentage of a number, use the formula: $$\text{Percentage value} = \frac{\text{percentage}}{100} \times \text{total number}$$

1. The problem asks to find 60% of 52. 2. The formula to find a percentage of a number is: $$\text{Percentage value} = \frac{\text{percentage}}{100} \times \text{total number}$$

1. **Find 15% of 120.** The problem asks us to find 15% of 120.

1. **Problem statement:** We need to find how far the plane flew west, given an equation involving $c = \sqrt{2311625}$. 2. **Step 1: Calculate $c$**

1. **State the problem:** Given that $$\left|\frac{ab}{|ab|}\right| = 1,$$ find the value of $$\left|\frac{a}{|a|}\right| + \left|\frac{b}{b}\right| + \left|\frac{ab}{ab}\right|.$$

1. **State the problem:** Solve the equation $$\frac{w - 5}{2} = \frac{5}{3}$$ for $w$. 2. **Use the cross-multiplication formula for proportions:** If $$\frac{a}{b} = \frac{c}{d}$

1. **State the problem:** Solve the proportion equation $$\frac{8}{v-4} = \frac{4}{3}$$ for $v$. 2. **Use the cross-multiplication rule:** For proportions of the form $$\frac{A}{B}

1. **State the problem:** Solve the proportion $$\frac{v - 4}{8} = \frac{4}{3}$$ for $v$. 2. **Formula and rule:** To solve a proportion $$\frac{A}{B} = \frac{C}{D}$$, cross-multip

1. **State the problem:** We want to compare the prices of chips at Ashley's and Eli's stores by finding a common number of bags or a common price. 2. **Given:**

1. **State the problem:** We want to compare the prices of chips at Ashley's and Eli's stores by finding a common number of bags or a common price. 2. **Given data:**

1. **State the problem:** We need to compare the prices of cereal boxes at Myesha's and Tamika's stores by finding a common number of boxes or a common price. 2. **Given data:**

1. **State the problem:** We need to compare the prices of soap bars at Mason's and Hassan's stores by finding a common number of bars or a common price. 2. **Given data:**

1. **State the problem:** An artist builds a sculpture weighing $14 \frac{3}{4}$ kg. Three-fourths of the weight is metal, and the rest is wood. We need to find the weight of the w

1. **State the problem:** Solve for $x$ in the equation given (though no explicit equation was provided, we assume a general form to illustrate the method). 2. **General approach:*

1. **State the problem:** Solve for $x$ in the equation $\frac{5}{1} \times \frac{x}{5} = 35 \times 5$. 2. **Write the equation clearly:**

1. **Problem 1:** Find the remainder when $P(x) = 4x^3 - 4x + 1$ is divided by $2x - 3$. 2. Use the Remainder Theorem: The remainder when a polynomial $P(x)$ is divided by a linear

1. The statement "All quartic polynomial equations have at least one real solution" is false. Explanation: Quartic polynomials are degree 4 polynomials. According to the Fundamenta

1. The problem asks: "All quartic polynomial equations have at least one real solution. True or False?" 2. A quartic polynomial is a polynomial of degree 4, generally written as $$

1. **State the problem:** Find the remainder when the polynomial $$x^4 + 2x^2 - 3x + 7$$ is divided by $$x + 2$$. 2. **Formula used:** According to the Remainder Theorem, the remai

1. **State the problem:** Emma made a punch using 4 cups of mango juice and 12 cups of lemonade. She wants to keep the same ratio of mango juice to lemonade but only has 9 cups of

1. **State the problem:** Emma used a scale drawing with the scale 5 inches : 2 feet. The actual width of the closet is 8 feet. We need to find the width of the closet in the drawi