Answer:
n = 8
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
Step-by-step explanation:
<u>Step 1: Define Equation</u>
6n + 7 = 55
<u>Step 2: Solve for </u><em><u>n</u></em>
- Subtract 7 on both sides: 6n = 48
- Divide 6 on both sides: n = 8
<u>Step 3: Check</u>
<em>Plug in n into the original equation to verify it's a solution.</em>
- Substitute in <em>n</em>: 6(8) + 7 = 55
- Multiply: 48 + 7 = 55
- Add: 55 = 55
Here we see that 55 does indeed equal 55.
∴ n = 8 is a solution of the equation.
What’s the original question and I can help!
Answer:
8
Step-by-step explanation:
First off, we need to recognize that the formula for the volume of a sphere is 
.
Then, we can plug in our r values one at a time.
The volume for the sphere with a 6-inch radius is about 904.779.
The volume for the sphere with a 3-inch radius is about 113.097.
To find how much greater the larger sphere is, we simply create a ratio between the two numbers: 
Do the division to find that the volume of the larger sphere is about 8 times the volume of the smaller sphere.
<span>The <u>correct answer</u> is:
The midpoint of a segment.
Explanation<span>:
To construct a line parallel to another line through a given point, the first thing you do is fold the given line onto itself, making sure that the given point is on the fold. This is the same construction used to find the midpoint of a segment.
Unfold the paper, and the crease made with the fold creates a line through the given point and given line. Fold this new line (crease) onto itself, making sure the given point is in the fold. This is again the same construction used to find the midpoint of a segment, and this creates our parallel line through our given point.</span></span>
