Answer:
1/13
Step-by-step explanation:
There are 4 king cards:
King of Hearts
King of Diamonds
King of Clover
King of Spades
This is 4 cards in a standard deck of 52. Set as a fraction 4/52.
Simplify:
(4/52)/(4/4) = 1/13
1/13 is the probability of drawing a KIng card.
~
To find the scientific notation of a number, place a decimal point after the first digit. Count how many places you moved the decimal point and that will be the power of 10.
19,340 = 1.9340×10^4
Answer:
R(x) - S(x) = 9x + 5
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Distributive Property
<u>Algebra I</u>
- Terms/Coefficients
- Function Notation
Step-by-step explanation:
<u>Step 1: Define</u>
R(x) = 6x - 3
S(x) = -3x - 8
<u>Step 2: Find</u>
- Substitute in functions: R(x) - S(x) = 6x - 3 - (-3x - 8)
- [Distributive Property] Distribute negative: R(x) - S(x) = 6x - 3 + 3x + 8
- [Addition] Combine like terms: R(x) - S(x) = 9x + 5
Answer:
Cost price = R.S 20
Sales price = R.S 22
Step-by-step explanation:
Given:
Sales price of an article = R.S 23
Profit = 15%
Find:
Cost price
Sales price if profit is 10%
Computation:
Profit% = [(Sales price - Cost price) / Cost price]100
15 = [(23-cp)/cp]100
15cp = 2,300 - 100cp
115cp = 2,300
Cost price = R.S 20
Sales price if profit is 10%
Sales price = Cost price + Profit
Sales price = 20 + 10%[20]
Sales price = 20 + 2
Sales price = R.S 22
In a mechanical system, it is a law that energy should be conserved. In this case, what is the initial energy should be equal to the total energy after the motion happened. We do as follows:
PE(at rest) = KE(during motion) + PE(after motion)
51450 J = KE(during motion) + 32781 J
KE(during motion) = 18669 J
