Answer:
Slope <em>m</em> = -5/4
y-intercept <em>b</em> = 3
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Algebra I</u>
Equality Properties
Slope-Intercept Form: y = mx + b
- m - slope
- b - y-intercept
Step-by-step explanation:
<u>Step 1: Define</u>
[Standard Form] -5x - 4y = -12
<u>Step 2: Rewrite</u>
- Add 5x to both sides: -4y = 5x - 12
- Divide -4 on both sides: y = -5/4x + 3
<u>Step 3: Identify</u>
<em>Break apart the function.</em>
Slope <em>m</em> = -5/4
y-intercept <em>b</em> = 3
Answer:
0.6495
Step-by-step explanation:
This is question based on conditional probability
The probability that a customer plans to make a purchase = 0.32.
The probability that a customer plans not to make a purchase = 1 - 0.32
= 0.68
The probability of responding to an advertisement given that the customer plans to make a purchase = 0.63
The probability of responding to an advertisement given that a person does not plan to make a purchase = 0.16.
Given that a person responds to the advertisement, what is the probability that they plan to make a purchase is calculated as:
0.32 × 0.63/(0.32 × 0.63) + (0.16 × 0.68)
= 0.2016/ 0.2016 + 0.1088
= 0.2016/0.3104
= 0.6494845361
Approximately = 0.6495
Answer:
L = 68 ft
Step-by-step explanation:
To find the perimeter of something you need to add up all the sides
In this case I am assuming Sam's property is a square/rectangle
- Which means the formula for the perimeter is P = 2L + 2W
If L = 2W - 12 and P = 216, we can use these values and plug them into our perimeter equation to solve for w and then solve for l
- 216 = 2(2W -12) + 2W → ditributing the 2 to the (2w - 12) gives us
- 216 = 4W - 24 + 2W → combing like terms gives us
- 216 = 6W - 24 → adding 24 to both sides gives us
- 240 = 6W → dividing both sides by 6 gives us
- 40 ft = W
With the width being solved, we can now plug that value into our length equation
- L = 2(40) - 12 → distributing the 2 to the 40 gives us
- L = 80 - 12 → combing like terms give us
- L = 68 ft
X represents the price of the snack Hanna buys after each school day.
