🧮 algebra

1. **State the problem:** Malik biked a total of 57.5 minutes, including a 2.5-minute water break, and covered 10 miles. We need to find his average pace in minutes per mile while

1. The problem states that Isaac and his grandma use 16 peaches to make cobbler and have 24 peaches left to make pies. 2. We need to find the total number of peaches they bought. L

1. **State the problem:** Adam ordered 14 beach towels with a bulk discount of 3.25 off each towel, paying a total of 105. We need to find the normal price per towel. 2. **Define v

1. **State the problem:** Anthony runs 4 days in a week, each day running 1.5 miles before school and an unknown distance after school. The total distance run in the week is 28 mil

1. **Problem:** Calculate $\sqrt{49} - \sqrt{100}$ and $\sqrt{25} - \sqrt{49}$. **Formula:** $\sqrt{a} - \sqrt{b} = $ difference of square roots.

1. مسئله: مقدار تابع $f(x)$ را در نقطه $x=1.38$ پیدا کنیم. 2. تابع $f(x)$ به صورت قطعه‌ای و متقارب است که در بازه‌های مختلف مقدار $y$ برابر با 2 یا -2 است.

1. نبدأ بتحديد مدى الدالة المعطاة: $$f(x) = \frac{x}{2+x^2}$$. 2. الدالة معرفة لجميع قيم $x$ لأن المقام $2+x^2$ لا يساوي صفرًا لأي $x$ حقيقي.

1. Let's clarify the problem: you want to know the formula or method to obtain certain numbers, but you haven't specified which numbers or the context. 2. To help you effectively,

1. आप SSC या राज्य परीक्षा के लिए गणित के कुछ महत्वपूर्ण प्रश्न चाहते हैं। 2. मैं आपको एक सरल और उपयोगी प्रश्न देता हूँ जो अक्सर परीक्षा में आता है।

1. **State the problem:** Find the focus and directrix of the parabola given by the equation $$(y + 2.5)^2 = 4(x - 4).$$ 2. **Identify the form:** This equation is in the form $$(y

1. **State the problem:** Simplify the expression $(-3 + 3i\sqrt{3})x^5$. 2. **Identify the components:** The expression consists of a complex coefficient $-3 + 3i\sqrt{3}$ multipl

1. The problem is to find the center and radius of a circle given its equation. 2. The general form of a circle's equation is $$ (x - h)^2 + (y - k)^2 = r^2 $$ where $ (h, k) $ is

1. لنبدأ بكتابة المعادلة المعطاة: $$2x^2 - 8x - 7 = 0$$ 2. المطلوب هو إيجاد قيمة \(\Delta\) (الدلتا) في المعادلة التربيعية. الدلتا تُحسب باستخدام الصيغة:

1. **State the problem:** Find the equation of the line passing through points (0,0) and (4,3). 2. **Formula used:** The equation of a line in slope-intercept form is $$y = mx + b$

1. **Problem Statement:** Find the equation of the line passing through the points $(1, 3)$ and $(6, -2)$ in slope-intercept form $y = mx + b$. 2. **Formula for slope:** The slope

1. **Problem 1: Find the foci of the ellipse given by** $$25x^2 + 16y^2 = 400$$. 2. **Rewrite the ellipse equation in standard form:**

1. **State the problem:** Find the center and radius of the circle given by the equation $$x^2 + y^2 - 6x - 10y + 11 = 0$$. 2. **Formula and rules:** The general form of a circle's

1. نبدأ بكتابة المعادلة المعطاة: $$x^2 - 2 = -8$$

1. **State the problem:** Solve the equation $x^2 - 2 = -8$ for $x$. 2. **Add 2 to both sides** to isolate the quadratic term:

1. **State the problem:** Simplify the expression $$\frac{5}{1} + \frac{1}{5}$$. 2. **Recall the formula:** To add fractions, they must have a common denominator. The formula for a

1. **State the problem:** We need to find the value of $+7 + (+3)$ without using a number line. 2. **Understand the operation:** Adding two positive numbers means combining their v