🧮 algebra

1. **Problem statement:** We need to find all possible combinations of the number of saftevand cups ($x$), kakao cups ($y$), and pieces of chokolade ($z$) that sum up to 90 kr. 2.

1. **State the problem:** We are given the expression for the total candies in $b$ bags as $$bg + by$$ and asked to find an equivalent expression for the total candies in 1 bag. 2.

1. The problem asks to find an equivalent expression for the total number of candies in 1 bag, given the total for $b$ bags is $bg + by$. 2. The original expression is $bg + by$, w

1. **State the problem:** We are given the inequality $$2(p + 6) > 20$$ where $p$ represents the number of pages Mr. Vann assigned. 2. **Analyze the inequality:** The expression $2

1. **State the problem:** Solve the equation $$\frac{1}{2}x - \frac{x}{4} + \frac{6}{2} = -\frac{1}{9}x + \frac{3 - x}{3}$$ for $x$. 2. **Write down the equation clearly:**

1. **State the problem:** Solve the equation $$\frac{4}{3} - x + \frac{7}{6} - \frac{3x + 1}{2} = -\frac{7}{9}x + \frac{3 - x}{3}$$ for $x$. 2. **Combine like terms and find a comm

1. **State the problem:** Solve a quadratic equation using the square method (completing the square). 2. **General formula:** For a quadratic equation $ax^2 + bx + c = 0$, we can s

1. **State the problem:** Solve the quadratic equation $$m^2 + 24m + 63 = 0$$. 2. **Formula and rules:** We use the quadratic formula $$m = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}$$ whe

1. **State the problem:** Evaluate the expression $34 - 2 \times 8 + 12 + 4$. 2. **Recall the order of operations:** Multiplication comes before addition and subtraction.

1. **State the problem:** We are given a figure with points P, Q, and R, and values 12, 15, and y respectively, and we need to find the value of y. 2. **Analyze the problem:** The

1. **State the problem:** Evaluate the expression $$34 - 2 \cdot 8 + 12 \div 4$$ and find the prime factorization of 64. 2. **Evaluate the expression:**

1. The problem asks to write an equation in factored form for the 6th degree polynomial shown in the top-right graph. 2. From the description, the polynomial is degree 6 and has ze

1. **Stel het probleem vast:** We willen de afgeleide van de functie $f(x) = 7x^2$ bepalen. 2. **Formule en regels:** De afgeleide van een machtsfunctie $f(x) = ax^n$ is gegeven do

1. **State the problem:** Find the value of the expression $$4 \cdot 2^3 + 3(3 - 1)$$.

1. **State the problem:** Find the value of the expression $$5^2 - 3(2^2)$$. 2. **Recall the order of operations:** Calculate exponents first, then multiplication, and finally subt

1. Énoncé du problème : Identifier la fonction affine parmi les fonctions données et effectuer des calculs associés. 2. Les fonctions données sont :

1. **State the problem:** Solve the quadratic equation $$\frac{\sqrt{3}}{130}v^2 - \frac{4488 - 2176\sqrt{3}}{13}v + \frac{115600}{65} = 0$$ for $v$, giving all answers to three de

1. **State the problem:** Solve the equation $$\sqrt{3} \over 130 \cdot v^2 + \frac{4488 - 2176\sqrt{3}}{13} v + \frac{115600}{65} = 0$$ for $v$.

1. Il problema chiede di scomporre il denominatore della frazione $$\frac{4x^{2} - 4x + 1}{2ax + 2x - a - ?}$$, ma l'ultimo termine del denominatore non è chiaro. 2. Per procedere,

1. Probleem a: Los algebraïsch op: $$9^{3x-12} = 1^{x+10}$$ - We weten dat $$1^{x+10} = 1$$ voor alle $$x$$.

1. We are asked to find the grootste gemeenschappelijke deler (gcd) van 146 en 96. 2. De grootste gemeenschappelijke deler is het grootste getal dat beide getallen zonder rest deel