🧮 algebra

1. **State the problem:** Solve for $z$ in the equation $$4(z + 2) = 20$$. 2. **Use the distributive property:** Multiply 4 by each term inside the parentheses:

1. **State the problem:** Solve the linear equation $$4(9x + 6) = 36x - 7$$. 2. **Apply the distributive property:** Multiply 4 by each term inside the parentheses:

1. **State the problem:** Solve the equation $$-0.2(x - 20) = 44 - x$$ for $x$. 2. **Use the distributive property:** Multiply $-0.2$ by each term inside the parentheses:

1. **State the problem:** We know that 2 cookies weigh 30.30 grams in total, and each cookie weighs 15.15 grams. We want to find how much sugar is used in 7 cookies. 2. **Identify

1. The problem is to verify or understand the solution where the answer is given as -6.81. 2. Since no specific equation or context is provided, let's consider this as a numerical

1. The problem asks for the new coordinates of point P(2, -3) when transformed by the functions $y = f(2x)$ and $y = f(\frac{1}{4}x)$. 2. For transformations of the form $y = f(kx)

1. Énoncé du problème : Résoudre l'équation $$\left(\frac{1}{2}\right)^{x+2} = 28$$. 2. Formule et règles importantes : Pour résoudre une équation avec des puissances, on peut util

1. The problem asks to find the value of each number after a markup of 40%. 2. The formula for calculating the price after markup is:

1. **State the problem:** We need to identify which scenarios can be expressed by the division $$-20.4 \div (-6.5)$$. 2. **Understand the division:** Dividing a total change by a r

1. **State the problem:** We need to find the sale price of a sofa originally priced at 500 with a 15% discount, and then calculate the final price including an 8% sales tax.

1. Planteamos el problema: Tenemos los vectores \(\overrightarrow{A} = (4.75, 6.52)\) y \(\overrightarrow{B} = (7.51, -1.43)\). Queremos encontrar la magnitud del vector resultante

1. The problem is to determine where the function $f(x)$ is increasing or decreasing based on given values of $x$ and $f(x)$ in a table. 2. A function is increasing on an interval

1. The problem is to find 5 sequences that approach the number 1, with some sequences increasing towards 1 and others decreasing towards 1. 2. A sequence \(a_n\) approaches 1 if \(

1. The problem is to create a table representation, but since no specific math problem was given, I will explain how to create a table for a function. 2. Suppose we want to create

1. **State the problem:** Tisha buys a club membership for 5 dollars and then buys nail art pens at 6 dollars each. We want to find her total cost for different quantities of pens

1. **State the problem:** We are given the sequence 2, 6, 12, 20, 30 and asked to find the next number. 2. **Identify the pattern:** Let's look at the differences between consecuti

1. **State the problem:** We are given the sequence 2, 6, 12, 20, 30 and asked to analyze it. 2. **Identify the pattern:** Notice the terms: 2, 6, 12, 20, 30.

1. **State the problem:** We are given the equation $$K = \sqrt{\frac{3 + 5m^2}{2m}}$$ and asked to solve for $m$. 2. **Square both sides** to eliminate the square root:

1. The problem is to identify the pattern in the sequence: 2, 5, 11, 23, 47. 2. We observe the differences between consecutive terms: 5 - 2 = 3, 11 - 5 = 6, 23 - 11 = 12, 47 - 23 =

1. The problem is to find the next number in the sequence: 6, 12, 21, 33. 2. First, observe the differences between consecutive terms:

1. **State the problem:** We need to find how many odd numbers are there between 16 and 80. 2. **Understand the problem:** Odd numbers are integers that are not divisible by 2. We