🧮 algebra

1. **State the problem:** Solve for $y$ in the equation $$2(3y + 7) = 68$$. 2. **Use the distributive property:** Multiply 2 by each term inside the parentheses:

1. **State the problem:** You run around the perimeter of a baseball field that consists of a 40% sector of a circle with radius 225 feet plus a straight edge of 300 feet. You run

1. **State the problem:** Solve the equation $$8 - \frac{1}{3}x = 16$$ for $x$. 2. **Isolate the term with $x$:** Subtract 8 from both sides:

1. **State the problem:** Simplify the expression $$3^2 - 5 + (8 - 2) \quad \text{and} \quad 3(5 - 1) - 10$$ and find the correct answer from the options A 5, B 1, C 7, D 2. 2. **S

1. **State the problem:** We are given the first two terms of a sequence: $a_1 = 9$ and $a_2 = -3$. We need to find $a_3 + b_3$, where $a_3$ is the third term of the arithmetic seq

1. **State the problem:** Simplify the expression $$3^2 - 5 + (8 - 2) \times 3(5 - 1) - 10$$. 2. **Recall order of operations (PEMDAS):** Parentheses, Exponents, Multiplication and

1. **State the problem:** Simplify the expression $12 - 3 + (-2) - 1$. 2. **Apply the order of operations:** Addition and subtraction are performed from left to right.

1. **State the problem:** Keesha's breakfast contains 30 mg of vitamin C, and her daily amount is 75 mg. We want to find what percent of her daily amount she has at breakfast.

1. The problem asks to find what percent of the years it snowed on New Year's Day, given it snowed 3 times in 60 years. 2. We want to find an equivalent ratio where the total years

1. The problem is to solve the equation or expression labeled as "10" in a different way. Since the original problem is not provided, I will assume it is a typical algebraic proble

1. **Problem 7: Solve for all values of $x$ to the nearest hundredth:** Given equation:

1. The problem is to evaluate the binomial coefficient $\binom{12}{k}$ for some integer $k$. 2. The binomial coefficient formula is:

1. The problem is to simplify the expression $$Vi \sin 30 \times \frac{171}{Vi \cos 30}$$. 2. Recall the trigonometric values: $$\sin 30 = \frac{1}{2}$$ and $$\cos 30 = \frac{\sqrt

1. **State the problem:** Find the equation of the line perpendicular to the line $y = 4x + 1$ that passes through the point $(8, -3)$. 2. **Recall the slope of the given line:** T

1. **State the problem:** Find the slope of the line passing through the points $(0, -8)$ and $(0, -10)$. 2. **Recall the slope formula:** The slope $m$ between two points $(x_1, y

1. **State the problem:** Find the slope of the line passing through the points $(-2, 6)$ and $(-12, 2)$. 2. **Formula for slope:** The slope $m$ between two points $(x_1, y_1)$ an

1. **State the problem:** Find the equation of the line with slope 2 passing through the point $(-1,6)$. 2. **Formula used:** The point-slope form of a line is given by

1. **Énoncé du problème :** Nous avons trois situations différentes modélisées par des fonctions. Il faut associer chaque situation à la bonne règle de fonction.

1. **State the problem:** Find the equation of the line passing through the points (-1, 3) and (-4, 3). 2. **Recall the formula for the slope of a line:**

1. Énoncé du problème : Hélène veut commander un menu pour 24 personnes. Le prix total est composé d'un tarif de base fixe plus un coût par personne.

1. **Énoncé du problème :** Marie-Ève a mélangé 54 g de sel (soluté) à un certain volume d'eau (solvant). On cherche à modéliser la concentration $C$ de la solution en fonction du