1). 662.4
2). $8.89
3). $100.80
4). $7.54
5). $4.18
6). 27 (but I'm not 100% sure)
Answer:
Step-by-step explanation:
<u>Covert equations in standard form into slope-intercept form of y = mx + b</u>
<h3>#1</h3>
<h3>#2</h3>
- 5x + 3y = 6 ⇒ 3y = -5x + 6 ⇒ y = -5/3x + 2
<h3>#3</h3>
- x - 2y = 2 ⇒ 2y = x - 2 ⇒ y = 1/2x - 1
<h3>#4</h3>
- 3x + 2y = -8 ⇒ 2y = -3x - 8 ⇒ y = -3/2x - 4
<h3>
Answer: Approximately 0.677</h3>
Explanation:
Add up the values in the plan A column. There are 10+12+16 = 38 people who prefer plan A.
Add up the values in the "40-49" row to find that 16+8 = 24 people are ages 40 to 49.
We have 38+24-16 = 46 people who either prefer plan A, are aged 40-49, or fit both descriptions. I subtracted off 16 because those 16 people were counted twice when adding 38 and 24.
An alternative way to get this value of 46 is to add up everything that is in column1 or row 3 (or both). So that would get 10+12+16+8 = 46.
Now add up everything in the table to find out how many people were surveyed total. That would be 10+7+12+15+16+8 = 68 people overall.
The probability of someone liking plan A, or being age 40-49, or both is 46/68 = 0.6765 approximately. Rounding to 3 decimal places gives 0.677
Answer:
b)
x= 5
Step-by-step explanation:
4x = 20
:4
x=5
The best way to solve this problem is with a simple equation: part = percent (in decimal form) x whole
In this problem, we're trying to solve for the <em>whole </em>amount that the camera can hold, so we'll assign that the variable w.
We can use the information they gave us - 96 is the <em>part</em>, and 24% is the percent. We'll convert that to decimal form - 0.24
Then, we just plug these values back into the above equation:
96 = 0.24w
Divide both sides by 0.24 to get w on it's own, and you have your answer!
400 = w
Therefore, the memory card can hold up to 400 pictures.
Note: this equation is <em>super </em>helpful. It's good to have on hand for any problem involving percents, because you can solve for the part, percent, or whole depending on the problem.
