Answer:
15
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
- Subtraction Property of Equality<u>
</u>
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify</em>
5a - 10b = 45
<em>b</em> = 3
<u>Step 2: Solve for </u><em><u>a</u></em>
- Substitute in <em>b</em> [Equation]: 5a - 10(3) = 45
- Multiply: 5a - 30 = 45
- [Addition Property of Equality] Add 30 on both sides: 5a = 75
- [Division Property of Equality] Divide 5 on both sides: a = 15
Answer: 200
Step-by-step explanation:
First I would do it like this.
12.5
X. 16
—————-
6 times 5 is 0, carry the 3, 6 times 2 is 12 and add 3 from the other which is 15, put the 1 from the 15 to the one next to the 12. 6 times 1 is 6 plus 1 is 7 which now you have 750. 5 times 1 is 5, 2 times 1 is 2, 1 times 1 is 1. It should look like this now.
12.5
X 16
—————
750
+ 1250
——————-
Which is 8750 but wait. Where is the decimal? Well, there is only one number behind the decimal so it is 875.0 or 875.
The answer is 10.2.
Since it's a percentage, you move the decimal two places to the left which gives you 0.12. Then, you multiply that by 85 and you get 10.2.
Answer:
your hourly pay is $19.07
Step-by-step explanation:
9% of 17.50 = 1.575
17.50 + 1.575 = 19.075
Answer: C) Find the factors of c that add up to b.
==============================================
Explanation:
If we want to factor something in the form x^2+bx+c, then we look for two numbers that
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Let's look at a specific example
Consider factoring x^2+5x+6
We need to find two numbers that...
- Multiply to c = 6
- Add to b = 5
Through trial and error, you should find the two numbers to be 3 and 2. This means it factors to (x+3)(x+2). The order of the factors doesn't matter.
You can use the FOIL rule or the box method to expand out (x+3)(x+2). You should get x^2+5x+6 again.
