🧮 algebra

1. **State the problem:** We are given the ratio of boys to girls as $5 : 7$ and the total number of students as $84$. We need to find the number of girls. 2. **Formula and rules:*

1. **State the problem:** A shopkeeper buys an item for Tk. 800 and sells it for Tk. 920. We need to find the profit percentage.

1. **Diberikan daftar bilangan** $-7, -4, -1, 0, 3, 5, 12, 18$. - Bilangan bulat berurutan yang terletak tepat sebelum $0$ adalah $-1$.

1. **State the problem:** We are given the equation $x^2 - 4x + y^2 + 2y = 31$ and need to find the center and radius of the circle it represents.

1. The problem is to create a test based on the previous topic discussed. 2. Since the user did not specify the exact topic, I will assume it relates to algebraic expressions and s

1. Mari kita selesaikan soal pertama: $$\left( \frac{3}{9^{-1}} \right)^2$$ 2. Ingat bahwa $$9^{-1} = \frac{1}{9}$$, jadi:

1. The problem asks for the answer to part b from the first value given. 2. Since the original values or equations are not provided, please provide the full problem or the first va

1. **Menyatakan masalah:** Diberikan fungsi:

1. **State the problem:** A baker sold $278$ pies on Tuesday. He sold $39$ more pies on Tuesday than on Monday. The number of pies sold on Wednesday was twice the number sold on Tu

1. **State the problem:** We need to express the decimal $0.09$ as a fraction. 2. **Recall the rule:** Any decimal can be written as a fraction with a denominator that is a power o

1. **State the problem:** We have a graph showing the relationship between water and flour used by Bao. The line passes through the origin $(0,0)$ and the point $(3,1)$. 2. **Inter

1. **State the problem:** We want to find the relationship between liters of water and liters of flour used by Bao. 2. **Given information:**

1. **State the problem:** Solve the equation $$1.5b + 9 = 11$$ and find where Jessie made a mistake.

1. **State the problem:** Simplify the expression $$\frac{1}{5} (15x - 5)$$ using the distributive property. 2. **Recall the distributive property:** $$a(b + c) = ab + ac$$. Here,

1. **State the problem:** Solve the equation $$\frac{y}{4} + 7 = 10$$ for $y$. 2. **Isolate the term with $y$:** Subtract 7 from both sides:

1. **State the problem:** We need to find which branch of the U.S. military had the greatest percent decrease in active-duty personnel from 1990 to 2009, and calculate that percent

1. **State the problem:** We want to simplify or solve the expression $\frac{9}{\sqrt[4]{x}}$. 2. **Recall the formula:** The fourth root of $x$ is written as $\sqrt[4]{x} = x^{\fr

1. **Problem:** Solve $|x - 9| = 72$. **Step 1:** Recall that $|A| = B$ means $A = B$ or $A = -B$ if $B \geq 0$.

1. Let's create a simple algebra quiz question. 2. Problem: Solve for $x$ in the equation $$2x + 5 = 15$$.

1. The problem asks what can be done with given variables. 2. In algebra and mathematics, variables represent unknown or changeable values.

1. **State the problem:** Find the middle term of the binomial expansion of $$ (2x + y)^6 $$ and then evaluate it at $$ x=3 $$ and $$ y=\frac{1}{2} $$. 2. **Recall the binomial exp