<span>We can multiply the numerator and the denominator of 7/11 by 3, 4 and 9: 7/11 = 21/33 = 28/44 = 63/99. Than we can see that: 25/44 < 21/33 or 25/44 < 7/11 ( C is not correct ). Also: 77/99=0.777...and 76/99=0.7676... Therefore: 0.75 < 77/99 , 0.75 < 76/99. And since: 23/33 = 0.6969...: 7/11 < 23/33 < 0.75. Answer: D ) 23/33 </span>
64.18 - 61.06 = 3.12
Emily was 3.12 seconds faster than Daniel.
First work out the parenthesis:
9x⁴y⁴ / 3y²
Then get rid of the denominator using 9/3=3 and y⁴/y² = y²
3x⁴y² is the simplest form.
Answer:
146
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Algebra I</u>
<u>Algebra II</u>
- Distance Formula:

Step-by-step explanation:
<u>Step 1: Define</u>
Point A(2, 125)
Point B(98, 15)
<u>Step 2: Identify</u>
A(2, 125) → x₁ = 2, y₁ = 125
B(98, 15) → x₂ = 98, y₂ = 15
<u>Step 3: Find distance </u><em><u>d</u></em>
- Substitute in coordinates [Distance Formula]:

- [√Radical] (Parenthesis) Subtract:

- [√Radical] Evaluate exponents:

- [√Radical] Add:

- [√Radical] Evaluate:

Her expenses are a fixed expense of $4500 and a weekly expense of $200.
Let's call the unknown number of weeks w.
In w weeks, the weekly expenses will by 200w.
The total expense is
200w + 4500
In a week, when earns $550. In w weeks, she earns 550w.
Set the expenses equal to the earnings and solve for w.
550w = 200w + 4500
Subtract 200w from both sides.
350w = 4500
w = 12.86
It takes her 12.86 weeks to break even.
If she works 13 weeks, she begins to make a profit.