Answer:
The x-coordinate of point P is 6
Step-by-step explanation:
we have
A (2,3) and B (8,0)
we know that
Point P portions the segment AB in the ratio 2 to 1
so

and

where
AP_x represent the distance between the points A and P in the x-coordinates
AB_x represent the distance between the points A and B in the x-coordinates


The x-coordinate of P is equal to

where
A_x represent the x-coordinate of A
substitute the values

therefore
The x-coordinate of point P is 6
Answer: none of those, 276...?
Step-by-step explanation:
You need to know the least common denominator (LCD) of 12 and 23 if you want to add or subtract two fractions with 12 and 23 as denominators.
The least common denominator, also called lowest common denominator (LCD), of 12 and 23 is 276.
Here is a math problem example where you need to know the LCD of 12 and 23 to solve:
3/12 + 2/23 = ?
Step 1) Take the LCD and divide each denominator by it as follows:
276/12 = 23
276/23 = 12
Step 2) Multiply each nominator with the respective answers from Step 1:
3 x 23 = 69
2 x 12 = 24
Step 3) Put it all together to solve the problem:
69/276 + 24/276 = 93/276
= 3/12 + 2/23 = 93/276
It's that easy! Once again, the lowest common denominator (LCD) of 12 and 23 is as follows:
276
Answer:
-8 3/4
Step-by-step explanation:
1. Simplify it.
15 - 24 + 1 divided by 4
2. Divide.
15 - 24 + 1/4
3. Add and subtract.
-9 + 1/4
-8 3/4
Answer:
$140
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Algebra I</u>
Simple Interest Rate Formula: 
- <em>P</em> is principle amount
- <em>r</em> is rate
- <em>t</em> is time
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify variables</em>
<em>P</em> = 100
<em>r</em> = 4% = 0.04
<em>t</em> = 10
<u>Step 2: Find Interest</u>
- Substitute in variables [Simple Interest Rate Formula]: A = 100(1 + 0.04 · 10)
- (Parenthesis) Multiply: A = 100(1 + 0.4)
- (Parenthesis) Add: A = 100(1.4)
- Multiply: A = 140
Answer:
17,181.86
Step-by-step explanation:
Just keep multiplying each answer by 1.07 till you reach 8 years.