Hello from MrBillDoesMath!
Answer:
7/3 and 14/3 inches
Discussion:
Let P1 = "Piece 1" and "P2 = Piece 2", Then P2 = 2 * P1 and
P1 + P2 = 7 => as P2 = 2 P1
P1 + 2P1 = 7 =>
3P1 = 7 => divide both sides by 7
P1 = 7/3
Then P2 = 2 P1 - 2* (7/3) = 14/3
Thank you,
MrB
Answer:
150 minutes
Step-by-step explanation:
First we have to express all these fractions of an hour in minutes, then add them and get the total of minutes.
To pass these numbers in hours to minutes, we only have to multiply by 60 because one hour has 60 minutes.
3/4 h =
3/4 * 60 = 45m
5/6 h =
5/6 * 60 = 50m
11/12 h =
11/12 * 60 = 55m
to calculate the total number of minutes we have to add the 3 values that we have
45m + 50m + 55m = 150m
Answer:
(x - 8)² + (y - 10)² = 36
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Algebra I</u>
<u>Pre-Calculus</u>
Circle Center Formula: (x - h)² + (y - k)² = r²
- <em>(h, k) </em>is center
- <em>r</em> is radius
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify</em>
<em>(h, k)</em> = (8, 10)
<em>r</em> = 6
<u>Step 2: Find Equation</u>
- Substitute in variables [Center Circle Formula]: (x - 8)² + (y - 10)² = 6²
- Evaluate exponents: (x - 8)² + (y - 10)² = 36
<span>First, find what are the numbers that can be divided to 10 and 85. The numbers 10 and 85 can be divided by 5. 10 divided by 5 is equals to 2 and 85 divided by 5 is equals to 17. Ratio is just like a fraction, you need to reduce its terms if you need to. Let’s say 10:85 is a fraction and since it is obvious that it can be divided by 5, you just need to reduce its term. 10/85 can be reduced into 2/17 which is just the same with ratios 10:85 is equals to 2:17.<span>
</span></span>
Complete Question
The complete question is shown on the first uploaded image
Answer:
6a

6b

6c

7a

7b

7c

Step-by-step explanation:
Considering the question 6
The function given is 
For V(3) we have



For 



For V(2r)



Considering the question 7
The function given is 
For h(5)
For h(1.8)


For h(x+ 5)


