🧮 algebra

1. We are given three squares with numbers at their corners and a value inside each square. The first two squares have known values inside them, and we need to find the missing val

1. The user mentions "Image of 6," which is ambiguous as it could relate to multiple math topics involving the number 6. 2. Assuming the request is about the image of a number unde

1. The problem states that the total change in temperature over 4 hours is \(-28^\circ\text{F}\), and the change is the same each hour. 2. To find the hourly change, we need to div

1. The problem shows a 3x3 grid with numbers and a missing number represented by a question mark in the bottom left cell. 2. The grid rows are:

1. Diberikan sistem persamaan linear tiga variabel: $$\begin{cases} 4i_1 + 5i_2 + 6i_3 = 3 \\ 8i_1 - 7i_2 - 3i_3 = 9 \\ 7i_1 - 8i_2 + 9i_3 = 6 \end{cases}$$

1. The problem asks us to compare the fractions $\frac{9}{11}$ and $\frac{10}{11}$.\n2. Both fractions have the same denominator, which is 11.\n3. When two fractions have the same

1. Stating the problem: We have three triangles, each with three numbers at the vertices and one number inside. We need to find the missing number inside the third triangle. 2. Obs

1. **State the problem:** We need to compare the fractions $\frac{5}{6}$ and $\frac{3}{4}$.\n\n2. **Find a common denominator:** The denominators are 6 and 4. The least common deno

1. Problem 1: We want to find the water level in Macopo Dam on May 5. 2. The water level decreases to 5% of the previous day’s level each day, so the decay factor is $0.05$.

1. The problem is to find the missing number represented by ? in the matrix: $$\begin{matrix}7 & ? & 108 \\ 8 & 12 & 96 \\ 9 & 132 & 84\end{matrix}$$

1. We are asked to compare the fractions $\frac{2}{3}$ and $\frac{3}{4}$. 2. To compare fractions, we find a common denominator or convert them to decimals.

1. **Problem (a)**: Find the amount of discount. Given discount is Rs. 6,000. 2. **Problem (b)**: Find the selling price after giving discount.

1. Show whether each function is one-to-one (injective). 1.i) Consider $f(x) = 10x + 7$.

1. Problem 1 (Finding Rate): Given a principal of $1000$, a simple interest of $150$, and a time period of $3$ years, find the rate of interest.

1. We are asked to solve the equation involving the absolute value: $|2x - 3| = 4 - x$. 2. Recall that $|A| = B$ means $A = B$ or $A = -B$ if $B \geq 0$. We must also ensure that t

1. The problem asks for the percent increase in the price of a sack of rice from ₱2000 to ₱2200. 2. Use the percent change formula: $$\text{Percent Change} = \frac{\text{New Value}

1. Simplify $\sqrt[3]{448b^{3}h^{2}}$. - Factor $448 = 64 \times 7$.

1. The problem asks for the equation of a circle with center at the origin and radius $s$. 2. The general equation for a circle with center at the origin $(0,0)$ and radius $r$ is:

1. Stating the problem: We need to find the percent change in electric consumption from last month to this month. 2. The formula for percent change is:

1. The problem involves simplifying and performing operations on expressions involving square roots as given in a puzzle format. 2. Let's examine each expression step by step.

1. Vamos a factorizar una expresión algebraica, lo que significa descomponerla en factores más simples que al multiplicarse nos den la expresión original. 2. Por ejemplo, para fact