🧮 algebra

1. **State the problem:** A cashier scans 50 items in 10 minutes. We need to find how many minutes it takes to scan 32 items at the same rate. 2. **Formula and explanation:** The r

1. **State the problem:** The Pep Club made 168 pints of ice cream. Each container sold contains $\frac{3}{4}$ pint. We need to find how many containers they sold and how much mone

1. Il problema chiede se un calcolo è corretto, ma non è stato fornito alcun calcolo specifico. 2. Per poter verificare un calcolo, è necessario conoscere l'espressione o l'equazio

1. **Problema:** Calcolare la data media ponderata dei tre periodi di indennità, tenendo conto della durata e degli importi di ciascun periodo. 2. **Formula e regole:** La data med

1. **State the problem:** Simplify the expression $$\left(5^8 \cdot 5^4 \cdot 5 \div 5^{11}\right) \cdot 3^0 - \left(15^6 \cdot 15 \div 15^3\right) \div \left(\frac{30}{2}\right)^3

1. **Problem statement:** Find the leading coefficient $a$ of a fifth-degree polynomial with rational coefficients given zeros at $-3$, $4$ (multiplicity 2), and $1 + \sqrt{5}$, an

1. **State the problem:** We want to solve the equation $$\frac{2x+4}{3} = 5$$ for $x$. 2. **Formula and rules:** To solve equations involving fractions, multiply both sides by the

1. **Stating the problem:** Solve the system of linear equations: $$\begin{cases} 2x + y - 2z = 1 \\ 3x - 2y + 4z = -2 \\ x + 3y + 2z = 4 \end{cases}$$

1. **Problem Statement:** Find the value of $x$ in the equation $$\frac{2x+4}{3} = 6.$$\n\n2. **Formula and Rules:** To solve for $x$, we need to isolate $x$ on one side of the equ

1. **State the problem:** We need to write the equation of a line in slope-intercept form given the slope and y-intercept. 2. **Recall the slope-intercept form:** The equation of a

1. **State the problem:** Write the equation of a line in slope-intercept form given the slope and y-intercept. 2. **Recall the slope-intercept form:** The equation of a line is gi

1. **State the problem:** We need to write the equation of a line in slope-intercept form given the slope and y-intercept.

1. **Stel het probleem vast:** Een apotheker heeft TUZOX en MUCIL esjes in een verhouding van 3 : 2.

1. **Stel het probleem vast:** Een apotheker heeft TUZOX en MUCIL esjes in een verhouding van 3 : 2.

1. The problem is to sketch the graph of the line given by the equation $y = -\frac{3}{2}x + 1$. 2. This is a linear equation in slope-intercept form $y = mx + b$, where $m$ is the

1. We hebben een rechthoek met lengte $L$ en breedte $B$ waarbij geldt: $$L = \frac{720 - 18B}{5}.$$ 2. De oppervlakte $A$ van de rechthoek is: $$A = L \times B.$$

1. **State the problem:** We need to sketch the graph of the line given by the equation $y = -x + 4$. 2. **Recall the formula:** The equation is in slope-intercept form $y = mx + b

1. We hebben een rechthoek met lengte $L$ en breedte $B$. 2. De lengte $L$ voldoet aan de relatie $L = 720 - \frac{18B}{5}$.

1. **State the problem:** Write the equation of a line in slope-intercept form given the slope and y-intercept. 2. **Recall the formula:** The slope-intercept form of a line is giv

1. **State the problem:** Write the equation of a line in slope-intercept form given the slope and y-intercept. 2. **Recall the slope-intercept form:** The equation of a line is gi

1. We are given a parabola with equation $y = x^2 + 2x$ that passes through the origin $(0,0)$. 2. We consider a line through the origin with slope $\frac{9}{4}$, so its equation i