🧮 algebra

1. **State the problem:** We are given the linear equation $$3y - 4x = 24$$ and asked to find the value of $$y$$ when $$x = -3$$. 2. **Formula and rules:** The equation is linear a

1. **State the problem:** We need to find the current ages of Noori and Sonu given two conditions: - 5 years ago, Noori was three times as old as Sonu.

1. The user has listed 21 topics related to Chapter 1: Prime numbers, HCF, LCM. 2. These topics cover index notation, prime factorization, square roots, cube roots, HCF, LCM, and t

1. **Plantear el problema:** Se nos da la ecuación $$\log_{10}(35156552.16) = (-1.645)0.35 + (7.35 \times \log_{10}(d+25.4)) - 10.39 + \frac{\log_{10}\left(\frac{1.50}{4.5-1.5}\rig

1. The problem gives the arithmetic series: $$3 + 8 + 13 + \dots + 218 + 223$$ and asks to express the general term $$a_k$$ in terms of $$k$$ and find the number of terms $$n$$. 2.

1. The problem states that Justin runs at a constant rate, covering 17 km in 2 hours. 2. We want to find an equation relating distance $d$ (in km) and time $h$ (in hours).

1. The problem states that Flannery used 30 lilies and 78 roses to create six identical flower arrangements. 2. We need to write an equation relating $l$, the number of lilies per

1. The problem states that Flannery used 30 lilies and 78 roses to create six identical flower arrangements. 2. We need to write an equation relating $l$, the number of lilies, and

1. **Problem statement:** Esther paints 7 faces every 21 minutes, spending the same amount of time on each face. We want to write an equation relating $f$, the number of faces pain

1. The problem states that Alexandra paid 7 dollars to park for 3 hours, and the parking garage charges a constant hourly rate. 2. We need to find an equation relating $p$, the num

1. The problem states that there are 2 supervisors for every 18 baby unicorns. 2. We want to write an equation relating $n$, the number of supervisors, and $u$, the number of baby

1. The problem states that $x$ and $y$ are proportional, meaning they satisfy the equation $y = rx$ where $r$ is the constant of proportionality. 2. To find $r$, we use the formula

1. The problem asks which table has a constant of proportionality between $y$ and $x$ equal to $\frac{1}{5}$. This means we want to check if $y = kx$ where $k = \frac{1}{5}$. 2. Th

1. The problem asks us to find which table has a constant of proportionality between $y$ and $x$ equal to 1.5. 2. The constant of proportionality $k$ means that $y = kx$ for all pa

1. The problem asks to find which table has a constant of proportionality between $y$ and $x$ equal to 2. 2. The constant of proportionality $k$ means $y = kx$. Here, $k=2$, so $y

1. The problem asks which table shows a constant of proportionality between $y$ and $x$ equal to 0.9. 2. The constant of proportionality means $y = kx$ where $k$ is constant. Here,

1. **State the problem:** We have a geometric sequence defined by the first term $a_1 = 8$ and the common ratio $r = -1.5$. We want to find the sum of the first 20 terms, denoted a

1. **Problem statement:** A hotel has 320 rooms and 32 cleaners. With all cleaners working, it takes 2 hours to clean all rooms. On Monday, 20% of cleaners were not available. Will

1. Таван хүний насны нийлбэр нь 80 гэж өгөгдсөн. 2. Хамгийн бага нь 6 настай.

1. The problem is to identify which number among 98, 70, 35, 20, and 10 fits a certain pattern or condition. 2. Since no specific condition is given, let's analyze the numbers for

1. The problem is to convert the inequality $10x + 32y \geq 5000$ into slope-intercept form. 2. The slope-intercept form for a line is given by the formula: