🧮 algebra

1. **State the problem:** We want to find the snowfall rate per hour given that 3 inches of snow fell from 1:00 pm to 12:00 am the next day. 2. **Identify the time interval:** From

1. **State the problem:** Simplify the expression $\left(\frac{3}{5} - \frac{2}{5} + \frac{1}{4}\right) + \frac{1}{6}$.\n\n2. **Combine the fractions inside the parentheses:** Sinc

1. The problem involves two inequalities: $x \geq 0$ and $y \geq 0$. 2. These inequalities represent the constraints on the variables $x$ and $y$. Specifically, $x \geq 0$ means $x

1. **State the problem:** Simplify the expression $$\left(\frac{3}{5} - \frac{2}{5} + \frac{1}{4}\right) \div \frac{1}{6}$$ and then evaluate $$\frac{1}{5} + \frac{1}{4}$$, $$\frac

1. **State the problem:** Solve the equation $$\frac{6}{3} = \frac{V + 11}{3V - 12}$$ for $V$. 2. **Simplify the left side:** $$\frac{6}{3} = 2$$, so the equation becomes $$2 = \fr

1. **State the problem:** Simplify the expression $$\frac{1}{8} + \left( \frac{3}{5} + \frac{5}{6} - \frac{1}{3} \right)$$. 2. **Use the order of operations:** First simplify insid

1. The problem asks to determine whether the function is increasing, constant, or decreasing between the points A-B, B-C, C-D, and D-E based on the graph. 2. To determine the behav

1. **State the problem:** Simplify the expression $$\frac{1}{6} \times \left(\frac{4}{5} - \frac{1}{3}\right)^{2^5} \div \frac{1}{5}$$ given the intermediate steps. 2. **Recall the

1. Stating the problem: Simplify the expression $$\frac{1}{6} \times \left(\frac{4}{5} - \frac{1}{3}\right) \div \frac{1}{5}$$. 2. Calculate the subtraction inside the parentheses:

1. The problem is to solve the inequality $$\omega - 6(4x + 6) < \sqrt{-111}$$. 2. Note that the square root of a negative number, such as $$\sqrt{-111}$$, is not a real number. Si

1. **State the problem:** Solve the system of inequalities: $$y < -2$$

1. The problem is to solve the inequality $Y < -2$. 2. This inequality states that the variable $Y$ must be less than $-2$.

1. **State the problem:** Simplify the expression $$\left(\frac{8}{9} - \frac{2}{3} + \frac{5}{8}\right) \div \frac{1}{3}$$. 2. **Find a common denominator for the terms inside the

1. **State the problem:** Solve the system of linear equations: $$-4x + y = -4$$

1. **State the problem:** Solve the system of linear equations: $$-x + y = 4$$

1. **Stating the problem:** We have an inverse proportional relationship between the number of friends $x$ and the money $y$ given by the equation $$y = \frac{480}{x}.$$ We want to

1. **State the problem:** We want to find out how much each person pays when the total cost of renting a car is 480 and the number of friends sharing the cost varies. 2. **Understa

1. **State the problem:** We need to find the price of a senior citizen ticket ($y$) and a child ticket ($x$) given two days of ticket sales.

1. **State the problem:** Find the price of a senior citizen ticket and the price of a child ticket given the system:

1. **Énoncé du problème** : On a la fonction $g(x) = \frac{2}{5x}$ et on veut la réécrire sous la forme $g(x) = \frac{k}{x}$. Ensuite, on doit résoudre l'équation $\frac{2}{5x} = \

1. **State the problem:** Solve the equation $$\frac{x+5}{2-x} = 6$$. 2. **Formula and rules:** To solve a rational equation like this, multiply both sides by the denominator to el