Answer:
sales tax is 1.5
Step-by-step explanation:
Answer:
x = 6
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
- Multiplication Property of Equality
- Division Property of Equality
- Addition Property of Equality
- Subtract Property of Equality
<u>Algebra I</u>
- Terms/Coefficients/Degrees
- Expand by FOIL (First Outside Inside Last)
- Factoring
- Multiple Roots
<u>Trigonometry</u>
[Right Triangles Only] Pythagorean Theorem: a² + b² = c²
- a is a leg
- b is another leg
- c is the hypotenuse
Step-by-step explanation:
<u>Step 1: Identify</u>
<em>a</em> = x + 3
<em>b</em> = x
<em>c</em> = √117
<u>Step 2: Solve for </u><em><u>x</u></em>
- Substitute [PT]: (x + 3)² + x² = (√117)²
- Expand [FOIL]: x² + 6x + 9 + x² = (√117)²
- Combine like terms: 2x² + 6x + 9 = (√117)²
- Exponents: 2x² + 6x + 9 = 117
- [SPE] Subtract 117 on both sides: 2x² + 6x - 108 = 0
- Factor out GCF: 2(x² + 3x - 54) = 0
- [DPE] Divide 2 on both sides: x² + 3x - 54 = 0
- Factor Quadratic: (x - 6)(x + 9) = 0
- Solve roots/solve <em>x</em>: x = -9, 6
Since we are dealing with positive values, we can disregard the negative root.
∴ x = 6
Answer:
15/4
Step-by-step explanation:
(-5,-10) and (-1,5)
y2-y1/x2-x1
5+10 / 4
15/4
This is a classic order of operations question
I always remember order of operations as PEMDAS, or
Parentheses
Exponents
Multiplication
Division
Addition
Subtraction
That is the order to do items, from left to right. Multiplication and decision take place at the same time, as do addition and subtraction
So lets look at your problem: 6 • (4 + 2)² – 32
The first thing to do is what is in the parentheses, the 4 + 2
6 • (6)² – 32
The 2nd thing is the exponent
6 • 36 – 32
Next we do the multiplication
216 - 32
And finally the subtraction, leaving us with
184
Mean means average.
To find the average, add the data then divide it by the amount of individual data you have.
(6.5 + 5 + 3 + 2 + 2 + 3.5 + 5)/2 = mean
27/2 = mean
13.5 = mean
13.5 miles is the mean distance that Jim jogged.
