Subtract 4 from -17, from 3x+4, and from 19:
-21 < 3x < 15
Divide all terms by 3:
-7 < x < 5 (solution)
Let x + 15 = total penguins
15/ (x +15) = .30
15 = .30x + 4.5
.30x = 10.5
x = 35
Total penguins = 15 + 35 = 50
Double Check
15 / 50 * 100 = 30% Correct!!!
Answer:
(a) 1/4
(b) answer in explanation
Step-by-step explanation:
In this question, we are told that we have a spinner and the spinner has 12 equal sized sections with three of the sections purple in color. We are now asked to calculate the probability of the spinner landing on the color purple.
Checking, we can see that this is a probability question. The spinner has the options of stopping at 12 different positions but amongst these 12 positions, 3 of the positions are painted purple. We now need to know the probability of the spinner landing on purple.
To get the probability of this, what we simply do is to divide the number of purple options by the total number of outcomes we have. The number of purple options is 3 while the total outcome we have is 12. The probability is thus P(of purple is) = 3/12 = 1/4
(b) we are asked to use words to describe the probability
From the probability in the question, what we can see is that if the spinner is spinner 4 different times, there is a chance that 1 out of all the chances will produce a result where we have the spinner landing on one of the purple color section.
What this actually means is that there is a 25% chance within every spin for the spin to land in the purple color section of the spinner
The picture below explains how to get your answer
hope it helps :)
Answer:
Final answer is approx x=0.16.
Step-by-step explanation:
Given equation is 
Now we need to solve equation and round to the nearest hundredth.
Round to the nearest hundredth.
Hence final answer is approx x=0.16.
