The answer that appears first is 7
Answer:
3 + 14x
Step-by-step explanation:
9 + 14x - 6
3 + 14x
Answer:
x = 4√5
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
<u>Trigonometry</u>
[Right Triangles Only] Pythagorean Theorem: a² + b² = c²
- a is one leg
- b is another leg
- c is hypotenuse
Step-by-step explanation:
<u>Step 1: Identify Variables</u>
a = 19
b = <em>x</em>
c = 21
<u>Step 2: Solve for </u><em><u>x</u></em>
- Substitute [PT]: 19² + x² = 21²
- Isolate <em>x</em> term: x² = 21² - 19²
- Exponents: x² = 441 - 361
- Subtract: x² = 80
- Isolate <em>x</em>: x = √80
- Simplify: x = 4√5
Answer:
61.84%
Step-by-step explanation:
Let the cost of the box be x. Since the price of the box and the pen is Rs 80, the pen's price can be represented as 80 - x. The box is sold at a ten percent profit, and an added ten percent is equal to 1.1. Therefore, the price the box sells at is 1.1(x). A 20% loss is the same a keeping 80% or multiplying by 0.8. This means the pen sold at 0.8(80 - x). Now, we are given the box went for Rs 28 more than the pen, so we can create an equation:
1.1x = 0.8(80 - x) + 28
We can simplify and solve:
1.1x = 64 - 0.8x + 28
1.9x = 92
x = 92/1.9
x = 920/19
The cost of the box after the increase would be 1.1(920/19) and the pen would be 0.8(80 - 920/19).
The sum of these two can be written as a percent x of 80.
80x = 0.8(80 - 920/19) + 1.1(920/19)
80x = 64 - 0.8(920/19) + 1.1(920/9)
80x = 64 - 0.3(920/19)
80x = 64 - 276/19
80x = 940/19
x = 940/1520
x = 0.6184
This is 61.84%
2 rational numbers are C. 2.777 and D. -7/3
a rational number<span> is any </span>number<span> that can be expressed as the quotient or fraction p/q of two integers
</span>
as you know 0.7777 (7 repeat) = 7/9
so 2.777(7 repeat) = 2 7/9
