(3,12)(5,20)
rate of change (slope) = (y2 - y1) / (x2 - x1)
slope = (20 - 12) / (5 - 3)
slope = 8/2 = 4 credits per course
Answer:
The probability that you will pull a banana on the first try and an apple on the second try = .024
Step-by-step explanation:
Given -
A refrigerator contains 50 pieces of fruit: 6 apples, 5 oranges, 10 bananas, 3 pears, 7 peaches, 11 plums, and 8 mangos .
Total no of fruit = 50
The probability that you will pull a banana on the first try and an apple on the second try = 
= 
= .024
Answer:Percent ≈ 66.6667
Step-by-step explanation:
To calculate the percent of any number, you multiply the value (n) by the percent (p) and then divide the product by 100 to get the answer, like this:
(n × p) / 100 = Answer
In our case, we know that the initial value (n) is 120 and that the answer (amount of decrease) is 80 to get the final value of 40. Therefore, we fill in what we know in the equation above to get the following equation:
(120 × p) / 100 = 80
Next, we solve the equation above for percent (p) by first multiplying each side by 100 and then dividing both sides by 120 to get percent (p):
(120 × p) / 100 = 80
((120 × p) / 100) × 100 = 80 × 100
120p = 8000
120p / 120 = 8000 / 120
p = 66.6666666666667
Percent ≈ 66.6667
That's all there is to it! The percentage decrease from 120 to 40 is 66.6667%. In other words, if you take 66.6667% of 120 and subtract it from 120, then the difference will be 40.
Answer:
k = 5
General Formulas and Concepts:
<u>Pre-Algebra</u>
- Order of Operations: BPEMDAS
- Equality Properties
Step-by-step explanation:
<u>Step 1: Define equation</u>
15 - 3k = 10(k - 5)
<u>Step 2: Solve for </u><em><u>k</u></em>
- Distribute 10: 15 - 3k = 10k - 50
- Add 3k to both sides: 15 = 13k - 50
- Add 50 to both sides: 65 = 13k
- Divide 13 on both sides: 5 = k
- Rewrite: k = 5
<u>Step 3: Check</u>
<em>Plug in k into the original equation to verify it's a solution.</em>
- Substitute in <em>k</em>: 15 - 3(5) = 10(5 - 5)
- Subtract: 15 - 3(5) = 10(0)
- Multiply: 15 - 15 = 0
- Subtract: 0 = 0
Here we see that 0 does indeed equal 0.
∴ k = 5 is a solution of the equation.
