Answer: A. $1.42
Explanation:
-Postcards = P
-large envelope = E
14p + 5e = 12 or 5e = 12 -14 p
10p + 15e = 24.8
5e = 12 - 14 p multiply by 3
15e = 36- 42 p
Combine 10p + 15e = 24.8 and 15e = 36- 42 p
That equals 10p + 36 - 42p = 24.8
10p + 36 - 42p = 24.8
11.2 = 32 p
P = 0.35
Bring down the equation 5e = 12 - 14p and substitute
5e = 12 - 14p
5e = 12 - (14 x 0.35)
5e = 12 - 4.90
5e = 7.10
e = 1.42
Answer:
To determine whether a decimal is rational or not, you need to know that...
Irrational numbers don't end and have no pattern whereas rational numbers are the complete opposite. Rational numbers end and have a repeating pattern.
Step-by-step explanation:
Here are examples of irrational numbers:
0.9384903204..... , π , √2
Examples of rational numbers:
0.777777... (is rational because it has a repeating pattern of 7) , √49
Hope this helps :)
If 3 of spades is drawn...and not replaced..
P(next card is spade) = 12/51
P(next card is a king) = 4/51
12/51 + 4/51 = 16/51
Answer:
(-2, 0)
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
<u>Algebra I</u>
- Solving systems of equations using substitution/elimination
Step-by-step explanation:
<u>Step 1: Define Systems</u>
-x - 2y = 2
4x - 2y = -8
<u>Step 2: Rewrite Systems</u>
-x - 2y = 2
- Multiply both sides by -1: x + 2y = -2
<u>Step 3: Redefine Systems</u>
x + 2y = -2
4x - 2y = -8
<u>Step 4: Solve for </u><em><u>x</u></em>
<em>Elimination</em>
- Combine equations: 5x = -10
- Divide 5 on both sides: x = -2
<u>Step 5: Solve for </u><em><u>y</u></em>
- Define equation: 4x - 2y = -8
- Substitute in <em>x</em>: 4(-2) - 2y = -8
- Multiply: -8 - 2y = -8
- Isolate <em>y</em> term: -2y = 0
- Isolate <em>y</em>: y = 0
