🧮 algebra

1. The problem asks to find what percent of the animals listed are mammals. 2. The formula to find percentage is:

1. **Problem 8:** Given that $R$ varies directly as the square of $S$ and inversely as $T$, with $R=21$ when $S=6$ and $T=3$. Find $T$ when $R=18$ and $S=4$. 2. **Formula:** Since

1. El problema es evaluar la expresión: $1 - 1 + 2^{2/7} + \frac{2}{9} \times \frac{3}{14} \times \left(-\frac{1}{2}\right) - \sqrt{\frac{2}{3}} \times \frac{1}{24} - \sqrt[3]{-3}

1. **Problem Statement:** We are given three modular functions in the form $y = |ax + b|$ with vertices at $(1,0)$ and different slopes for each function: $f(x)$ with slopes $\pm 2

1. Given that $ST^{1/3} = k$, where $k$ is a constant, determine the true statement about the variation of $S$ and $T$. 2. Given $w \propto \frac{x^m}{y^n}$ such that $w$ varies di

1. **Problem Statement:** Find the intercepts of the function $f$ given the graph points: $(-4,0)$, $(-2,-1)$, $(0,1)$, $(2,-1)$, $(4,0)$.

1. Diberi bahawa g = 2 apabila h = 27. Ungkapkan g dalam sebutan h jika (a) g berubah secara songsang dengan h.

1. **State the problem:** We have a cuboid water tank where volume $V$ varies directly as height $h$ and base area $A$. Given $V=90$ when $h=2$ and $A=30$, find the new height if v

1. **Stating the problem:** Mr Lim saved 30000 for 5 years and received interest of 6000. Interest $I$ varies directly as principal $P$ and time $t$. Find the interest if he saves

1. **State the problem:** Simplify the expression $$\frac{1}{x-1} - \frac{3x+3}{x^2 + x - 2} + \frac{1}{x+2}$$. 2. **Factor denominators:** Note that $$x^2 + x - 2 = (x-1)(x+2)$$.

1. **Problem statement:** Write equations for the modular functions $f(x)$, $g(x)$, and $h(x)$ given their graphs with vertices at $(-4,0)$, $(0,0)$, and $(3,0)$ respectively. 2. *

1. The problem asks to convert interval notation solutions of an absolute value inequality into set-builder notation. 2. Recall that interval notation like $(-\infty, -34) \cup [10

1. **State the problem:** Solve the equation $$6a + 12 = 2(3a - 8)$$ for the variable $a$. 2. **Write the formula and rules:** To solve equations with variables on both sides, firs

1. The problem asks to express the solutions of the inequality $$-34 < x < 10$$ in three different ways and identify the correct interval notation. 2. This inequality means that $x

1. **State the problem:** We have an arched bridge 30 m wide and 40 m tall at the highest point. We want to check if a sailboat with a 25 m tall sail can fit under the bridge 6 m a

1. **State the problem:** Simplify the expression $$\left(\frac{5}{2}+\frac{1}{4}-\frac{7}{8}\right) : \left(-\frac{3}{16}\right) - \frac{5}{3} \left(-\frac{2}{7}\right) + \left(-\

1. **State the problem:** Simplify and analyze the expression $a^2 - ab + 2b - 4$ and the expression $a^2 + 2a + 2b - b^2$. 2. **First expression:** $a^2 - ab + 2b - 4$

1. Planteamos el problema: Factorizar la expresión $45 r^3 s + 20 r s^3$ usando el Factor Común Mayor (FCM). 2. Identificamos los factores comunes en cada término:

1. **State the problem:** Solve the equation $3a - 7 = 26$ for $a$. 2. **Add 7 to both sides:**

1. **State the problem:** Solve the equation $ (3x - 4)(2x - 13) = 0 $. 2. **Formula and rule:** The zero product property states that if $ab = 0$, then either $a = 0$ or $b = 0$.

1. **State the problem:** You have 25 coins total, all nickels and quarters, with a total value of 3.85. Find the number of nickels $n$ and quarters $q$.