Answer:
x = 2
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
Step-by-step explanation:
<u>Step 1: Define</u>
0.4(12 - 3x) = 0.3(12x - 16)
<u>Step 2: Solve for </u><em><u>x</u></em>
- Distribute: 4.8 - 1.2x = 3.6x - 4.8
- Add 1.2x on both sides: 4.8 = 4.8x - 4.8
- Add 4.8 on both sides: 9.6 = 4.8x
- Divide 4.8 on both sides: 2 = x
- Rewrite: x = 2
Answer:
Each answer is negative
Each equation has a four within it, either negative or positive
Step-by-step explanation:
-4x3=-12
3x-4=-12
5x-4=-20
Answer:
B: Permutation; Number of ways = 60
Step-by-step explanation:
First we have to decide if this is a problem of permutation or combination. The rule is:
- If the order matters, permutations will be used
- If order does not matter, combinations will be used
In this problem, they order of awarding the medals matters, so this is a permutation problem.
We have to award 3 medals among 5 runners. So this can be done in 5P3 ways:
Therefore, there are 60 ways to award the medal. Therefore, the correct answer is B.
We can use ratio
If the person works for 12 hours and earns $510, for one hour:
12*1=510*x
x=510/12
x= $42.5
Thus the person earns 42.5 dollars per hour.
