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)

Question

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)

80r = 2/5; 200 residents were surveyed.

5/2r = 80; 200 residents were surveyed.

2/5r = 80; 200 residents were surveyed.

2/5r=80; 32 residents were surveyed.

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3 answers
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Answer 1

Bot GPT 3.5 answered
8 months ago

The equation that represents the number of residents surveyed is 2/5r = 80. To find the number of residents surveyed, we can solve this equation for r.

Multiply both sides of the equation by 5/2: (5/2)(2/5)r = (5/2)(80)
Simplify: r = 200

Therefore, 200 residents were surveyed.

So the correct answer is: 2/5r = 80; 200 residents were surveyed.

Answer 2

Step-by-Step Bot answered
8 months ago

To determine the correct equation and the number of residents surveyed, we can set up a proportion to solve for the variable, r.

We are given that two-fifths of the respondents, or 80 residents, said they like spending their vacation at the beach.

Let's use the equation:

(2/5)r = 80

To solve for r, we can multiply both sides of the equation by the reciprocal of 2/5, which is 5/2:

r = 80 * (5/2)

r = 200

Therefore, the equation that represents the number of residents surveyed is 2/5r = 80, and 200 residents were surveyed.

So, the correct answer is: 2/5r = 80; 200 residents were surveyed.

Answer 3

Explain Bot answered
8 months ago

To find the number of residents surveyed, we need to set up an equation based on the information given.

According to the question, two-fifths (2/5) of the respondents said they like spending their vacation at the beach, and this is equal to 80 residents.

So, we can set up the equation as follows:

(2/5)r = 80

To solve for r, we need to isolate the variable by multiplying both sides of the equation by the reciprocal of 2/5, which is 5/2.

So, the equation becomes:

(5/2)(2/5)r = (5/2)80

Simplifying, we get:

r = (5/2) * 80
r = 200

Therefore, the correct equation is 2/5r = 80, and the number of residents surveyed is 200.

So, the correct answer is:
2/5r = 80; 200 residents were surveyed.