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) Responses 5/2r=80; 200 residents were surveyed. Start Fraction 5 over 2 End Fraction r equals 80 ; 200 residents were surveyed. 80r=2/5; 200 residents were surveyed. 80 r equals Start Fraction 2 over 5 End Fraction ; 200 residents were surveyed. 2/5r=80; 200 residents were surveyed. Start Fraction 2 over 5 End Fraction r equals 80 ; 200 residents were surveyed. 2/5r=80; 32 residents were surveyed. Start Fraction 2 over 5 End Fraction r equals 80 ; 32 residents were surveyed.
The equation that represents the number of residents surveyed is: 2/5r = 80.
To find the number of residents surveyed, we can solve for r:
2/5r = 80
Multiply both sides of the equation by 5/2:
r = (80)(5/2)
r = 400/2
r = 200
Therefore, 200 residents were surveyed.
The correct equation that represents the number of residents surveyed is "2/5r=80". To find out how many residents were surveyed, we need to solve this equation for r.
To solve the equation, we can multiply both sides of the equation by 5/2 to isolate r. This gives us:
(5/2)(2/5)r = (5/2)(80)
r = 200
Therefore, 200 residents were surveyed.
The equation that represents the number of residents surveyed is:
2/5r = 80
To find the value of r, we need to isolate r by multiplying both sides of the equation by the reciprocal of 2/5, which is 5/2:
(5/2) * (2/5) * r = (5/2) * 80
This simplifies to:
r = 200
Therefore, 200 residents were surveyed.
So the correct answer is: "5/2r = 80; 200 residents were surveyed."