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
A 80r=2/5;200 residents were surveyed
B 5/2 r=80;200 residents were surveyed
C 2/5r=80;32 residents were surveyed
D 2/5r =80;200 residents were survryed
The correct equation that represents the number of residents surveyed is D) 2/5r = 80.
To find out how many residents were surveyed, we can solve this equation for r.
First, we multiply both sides of the equation by the reciprocal of 2/5, which is 5/2:
(5/2)(2/5)r = 80 * (5/2)
r = 200
So, the correct answer is D) 2/5r = 80; 200 residents were surveyed.
a culture of certain bacteria doubles every hour at 9:00am there were already 120 bacteria which equation represents the number of bacteria n at 8:00am how many bacteria were there
n/2=120; at 8:00 am there were 240 bacteria
2n =120; at 8:00 am there were 60 bacteria
2n=120; at 8:00 am there were 240 bacteria n/2=120; at 8:00 am there were 60 bacteria
The correct equation that represents the number of bacteria, n, at 8:00am is 2n = 120.
To find out how many bacteria were there at 8:00am, we can solve this equation for n.
Divide both sides of the equation by 2:
2n/2 = 120/2
n = 60
So, the correct answer is 2n = 120; at 8:00am there were 60 bacteria.
The correct equation is C: 2/5r = 80.
To find the number of residents surveyed, we need to solve the equation for r.
2/5r = 80
To isolate r, we can multiply both sides of the equation by 5/2:
(5/2) * (2/5) * r = (5/2) * 80
r = 200
Therefore, 200 residents were surveyed.
The correct answer is C: 2/5r = 80; 200 residents were surveyed.
The answer is option D: 2/5r = 80; 200 residents were surveyed.
To explain how to get this answer, let's break down the information provided in the question.
We are told that two-fifths of the respondents (or 2/5) said they like spending their vacation at the beach, and this corresponds to 80 residents.
The equation that represents the number of residents surveyed can be written as:
2/5r = 80
Here, "r" represents the total number of residents surveyed, and 2/5 of that number should be equal to 80.
To find the value of "r," we can solve this equation by multiplying both sides by the reciprocal of 2/5, which is 5/2.
(5/2)(2/5)r = (5/2)(80)
Simplifying this equation, 1r = 200.
This means that 200 residents were surveyed. Thus, the correct answer is option D.