Answer:
(3, -9)
General Formulas and Concepts:
<u>Pre-Algebra</u>
- Order of Operations: BPEMDAS
- Equality Properties
<u>Algebra I</u>
- Solving systems of equations using substitution/elimination
- Solving systems of equations by graphing
Step-by-step explanation:
<u>Step 1: Define systems</u>
-5x - 3y = 12
y = x - 12
<u>Step 2: Solve for </u><em><u>x</u></em>
<em>Substitution</em>
- Substitute in <em>y</em>: -5x - 3(x - 12) = 12
- Distribute -3: -5x - 3x + 36 = 12
- Combine like terms: -8x + 36 = 12
- Isolate <em>x</em> term: -8x = -24
- Isolate <em>x</em>: x = 3
<u>Step 3: Solve for </u><em><u>y</u></em>
- Define original equation: y = x - 12
- Substitute in <em>x</em>: y = 3 - 12
- Subtract: y = -9
<u>Step 4: Graph systems</u>
<em>Check the solution set.</em>
.67 divided by 6 = .112/1
1.5 divided by 6 = .25/1
.75 divided by 6 = .125/1
multiply all by 15
.112 x 15 = 1.68
.25 x 15 = 3.75
.125 x 15 = 1.875
The answer is 78!
(your speed x how much faster your teacher types)
32.5 x 2.4
Answer:
- A. $23
- B. 0.997359
Step-by-step explanation:
1. The policy rates in the table are for $25000 of insurance. Lydia wants $100,000 of insurance, which is 4 times the amount quoted in the table. Hence her premium will be 4 times the quoted premium. Her spot in the table is in the age 24–30 row and the Female Non-Smoker column. Lydia's premium will be 4×$3.50, or $14 per month.
She wants 2 times the amount quoted in the table ($50,000) of insurance for her spouse, so the premium will be 2 times that quoted in the table. His spot in the table is in the age Under 24 row and the Male Smoker column. The premium for his insurance will be 2×$4.50, or $9 per month.
The total of the two premiums will be $14 = 9 = $23 per month.
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2. The probability of living another year is the complement of the probability of dying. For a 35–44 year-old male, the probability of dying is 264.1/100,000, about 2.641×10^-3. The complement of that is ...
1 - 0.002641 = 0.997359
Answer:
4/3
Step-by-step explanation:
I used a site and my calculator
