A survey is conducted in a certain neighborhood to find out residents’ favorite vacation spot. Two-fifths of the respondents, or 80 residents, said they like spending their vacation at the beach. Which equation represents the number of residents, r , surveyed? How many residents were surveyed?(1 point)
yk what, I gotchyall. here are the answers to the experimental probability practice check
1. 5/14
2. 0.6
3. 30%
4. 15
5. 4/15
yall stay safe out there
The equation representing the number of residents surveyed is r = 80 / (2/5).
To simplify this equation, we can divide 80 by 2/5, which is equivalent to multiplying 80 by 5/2.
So, r = 80 * (5/2).
This simplifies to r = 200.
Therefore, 200 residents were surveyed.
To find the number of residents surveyed, we can use the equation:
r = (Total number of respondents) * (Fraction of respondents who like the beach)
In this case, the fraction of respondents who like the beach is two-fifths, or 2/5.
So the equation becomes:
r = (Total number of respondents) * (2/5)
We are given that there are 80 residents who said they like spending their vacation at the beach.
Plugging this value into the equation, we have:
80 = (Total number of respondents) * (2/5)
To solve for the total number of respondents, we can multiply both sides of the equation by 5/2:
80 * 5/2 = Total number of respondents
This simplifies to:
200 = Total number of respondents
Therefore, the total number of residents surveyed is 200.
To find the equation representing the number of residents surveyed, we can set up a proportion based on the given information. We know that two-fifths of the respondents said they like spending their vacation at the beach, and this represents 80 residents.
Let's assume the total number of residents surveyed is represented by "r". Then, we can set up the proportion as follows:
(2/5) = 80/r
To solve for "r", we can cross-multiply:
2r = 5 * 80
2r = 400
Dividing both sides of the equation by 2, we get:
r = 400/2
r = 200
Therefore, the equation representing the number of residents surveyed is 2r = 400, and the total number of residents surveyed is 200.