🧮 algebra

1. The problem is to arrange the digits 1, 2, 3, 5, 6, 7 in the equation $\square . \square \square \times 2 = \square \square . \square$ so that the multiplication is correct. 2.

1. The problem is to arrange the digits 1, 2, 3, 5, 6, 7 in the gaps of the equation $$\square . \square \square \times 2 = \square \square . \square$$

1. The problem is to solve the expression involving mixed numbers: $1 \frac{3}{10} + 2 \frac{7}{5} + 3 \frac{2}{3}$.\n\n2. Convert each mixed number to an improper fraction:\n- $1

1. **State the problem:** Vivian buys two tomatoes for 500 shillings each and sells them with a 7% profit. We need to find the profit amount. 2. **Calculate the total cost price:**

1. פתרון אי שוויונים: 1. פתרון \(\sqrt{x+3} - 2 < \sqrt{x+1}\):

1. State the problem: Solve the equation $$2(3x - 5) + 4x + 7 = 37$$ for $x$. 2. Expand the parentheses: $$2 \times 3x = 6x$$ and $$2 \times (-5) = -10$$, so the equation becomes $

1. Énoncé du problème : Deux cyclistes partent du même endroit avec un intervalle de 15 minutes. Le premier parcourt 9 km en 30 minutes. Le deuxième cycliste a pour équation de dis

1. The problem asks for the percentage of English books sold by A and B together compared to Hindi books sold by A. English books sold by A = 28

1. The problem states that for elements $i, j, k \in N$, the operation $\times$ satisfies the equation: $$i \times (j - k) = (i \times j) - (i \times k)$$

1. **State the problem:** We need to find the number of Lumberman units sold given the total company profit including warranty bonuses is 363570. 2. **Identify known values:**

1. The problem is to add the fractions $\frac{1}{3}$ and $\frac{1}{4}$.\n\n2. To add fractions, we need a common denominator. The denominators are 3 and 4. The least common denomin

1. Let's start by defining a rational number. A rational number is any number that can be expressed as the quotient or fraction $$\frac{p}{q}$$ where $$p$$ and $$q$$ are integers a

1. **Problème 1 : Vérifier si les vecteurs sont linéairement indépendants** On considère les vecteurs

1. The problem is to understand how to add expressions with the same base in algebra. 2. When you have terms with the same base raised to the same exponent, such as $a^n + a^n$, yo

1. The problem is to express the number 3 + 3 in exponent form. 2. First, simplify the expression: 3 + 3 = 6.

1. The problem is to simplify the expression $$z = (x - y)^2$$ where $$x = 14$$ and $$y = \frac{6}{5}$$. 2. Substitute the values into the expression:

1. **Problem statement:** Show that the nth term of the geometric sequence 4, 8, 16, 32, ... is given by the formula $a_{n-1} = 2^{n+1} - 4$. 2. **Identify the sequence:** The give

1. **State the problem:** Solve the quadratic equation $x^2 + 3x = 5$. 2. **Rewrite the equation:** Move all terms to one side to set the equation to zero:

1. The problem is to understand how to solve expressions involving exponents. 2. An exponent indicates how many times to multiply a base number by itself. For example, $a^n$ means

1. It seems like you meant to say "they are squared." This usually refers to squaring a number or an expression, which means multiplying it by itself. 2. For example, if you have a

1. **State the problem:** We have two functions defined for $x \geq 0$: $$f(x) = 232(0.4)^{x+2}$$