🧮 algebra
Step-by-step solutions with LaTeX - clean, fast, and student-friendly.
Javlon Puli
1. Muammoni tushunamiz: Aziz, Kozim va Javlonning pullari haqida ma`lumotlar mavjud. Maqsad Javlonning puli necha so`m ekanini topish.
2. Belgilaymiz:
Percentage Calculation
1. The problem asks to find 7.6% of 760.
2. Recall that percentage means per hundred, so 7.6% = \frac{7.6}{100}.
Population Increase
1. **Stating the problem:** The production of food grains increased by 40% and the per capita production increased by 27%. We need to find the percentage increase in population dur
Parking Rate
1. The problem states the base rate for up to 2 hours is $3.50. Additional hours beyond 2 are charged at an hourly rate $x$.
2. From the table, the cost for 3 hours is $9.00$, for
Population Increase
1. Problem: The total production of food grains increased by 40% and the per capita production increased by 27%. We need to find the approximate percentage increase in population.
Salary Ratio
1. **Problem Statement:** We are given that 20% of employees work in manufacturing, and the total salary of manufacturing employees is one-sixth of the total salary of all employee
Inequality Probability Circle
1. Solve the inequality $3 + x > 5$ and represent the integral solutions on the number line from -4 to 8.
Step 1: Subtract 3 from both sides:
Algebra Expressions
1. **Problem:** Simplify and evaluate \( \frac{2}{3} \times \frac{4}{3} + \frac{12}{9} \).
Step 1: Multiply fractions \( \frac{2}{3} \times \frac{4}{3} = \frac{2 \times 4}{3 \times
Ratio Formula
1. The problem is to find the formula for a ratio.
2. A ratio compares two quantities by division.
Rational Irrational Sum
1. **State the problem:** We want to prove by contradiction that if $a$ is rational ($a \in \mathbb{Q}$) and $b$ is irrational ($b \notin \mathbb{Q}$), then $a + 2b$ is also irrati
Quadratic Vertex
1. We are asked to find the equation of the graph labeled $y = h(x)$ based on the provided description and the points noted.
2. From the description, there are two curves: one open
Piecewise Curve
1. Let's analyze the given graph description to understand the function $y = h(x)$.
2. The graph has two connected curved segments separated near $x = -2$:
Weight Chocolate
1. **State the problem:**
We have two box sizes, small and large, selling identical chocolate pieces.
Algebra Questions
1. Solve for $x$ in the equation $S = \frac{2x + t}{r}$. Multiply both sides by $r$ to get:
$$rS = 2x + t$$
Exponents Powers
1. मान ज्ञात कीजिए :
(i) $3^{-2} = \frac{1}{3^2} = \frac{1}{9}$
Initial Alloy
1. **State the problem:** We have an initial alloy of silver and copper with unknown weight $x$ kg.
2. When $x$ kg of this alloy is mixed with 3 kg of pure silver, the new alloy co
Compound Interest
1. সমসাময়িক হার চক্রবৃদ্ধি মূলধনের সমস্যাটি বিবেচনা করা হল যেখানের ১ বছরে বৃদ্ধি $19500$ টাকা এবং ২ বছরে বৃদ্ধি $20280$ টাকা।
2. হার নির্ণয়ের সূত্র: মূলধন $P$ ও হারের $r$ জন্য চক
Percentage Subtraction
1. We are asked to calculate $60 - (15\% \times 60)$.
2. First, convert 15% to decimal: $15\% = 0.15$.
Population Increase
1. Let's define variables for the populations in 1970:
- Let the male population in 1970 be $M$.
Factor X2
1. The problem is to factor the expression $x^2$.
2. Factoring means expressing the expression as a product of simpler expressions.
Car Overtake
1. **State the problem:**
Car A is moving north at 45 kph. Car B starts 12 minutes (which is \(\frac{12}{60}=0.2\) hours) later at 54 kph. We need to find how long it takes Car B t