Multiply both sides by 4
subtract 24r from both sides
simplify r - 24r to -23r
divide both sides by -23
two negatives make a positive
simplify 14/5/23 to 14/5 x 23
simplify 5 x 23 to 115
switch sides
Answer: r = 14/115.
the total number of marbles in the bag is 12 . so the probability of getting a green marble at random is 4/12 which resluts to 1/3
<h3>
Answer: Choice B) 3:1</h3>
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Explanation:
Consider a very small town of only 4 people.
If 1 person bikes to work, then 1/4 = 0.25 = 25% of the population commutes by bicycle. We see that the remaining 4-1 = 3 people don't travel by bike.
The odds against selecting someone who uses their bike to get to work is 3:1 which is why the answer is choice B
We list the number of people we don't want first, and then the number of people we do want (those who use a bike). A colon separates the two values to form the odds ratio.
We can say "3:1" as "3 to 1". It means we're 3 times more likely to select someone we don't want vs someone we do want. The odds are against the bike person which is why the value we don't want is listed first.
In contrast, if your teacher asked "what are the odds in favor of selecting someone who commutes by bicycle?" then the answer would be 1:3. We simply swap the positions of what we set up earlier.
Answer:
Step-by-step explanation:
A 180 counterclockwise rotation of (5, 4).
The transformation rule is as follows:
turns into 
.
Answer:
<em>6</em>
Step-by-step explanation:
The x-intercept is the x-coordinate of the point on the line that intersects the x-axis. At the x-axis, all y-coordinates are 0. Let y = 0, and solve for x.
2x – 3y = 12
2x - 3(0) = 12
2x = 12
x = 6
