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mars1129
3 days ago
14

A random survey of the quality of city park is taken.sixty-five percent of the people surveyed were pleased with the condition o

f the parks.if 182 people were pleased,how many were surveyed
Mathematics
2 answers:
Leona [9.2K]3 days ago
7 0
The total number of individuals surveyed is 280. From the survey results, 65% were satisfied with the park's condition. Given that this satisfied group represents 182 people, we can calculate the overall survey population using this information.
Svet_ta [9.5K]3 days ago
3 0
The total number of people surveyed is 280. In a recent survey assessing the quality of a city park, it was noted that 65% of respondents expressed satisfaction regarding the park's condition. Here, 65% is equivalent to 0.65. Let x denote the total number of surveyed individuals. With 182 participants indicating satisfaction, we establish the relationship to find the total number of people surveyed, leading us to the conclusion that 280 individuals were surveyed.
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Kevin is buying water for his camping trip. He knows he needs at least 20 gallons of water for the trip. He already has five and
PIT_PIT [9117]

Response:

5.5+0.25x\geq 20

Step-by-step breakdown:

Kevin has already gathered five and a half gallons of water for his trip

He understands that he requires a minimum of 20 gallons of water for the journey.

The water is packaged in 32-fluid ounce (quarter-gallon) containers.

1 fluid ounce equals 0.0078125 gallons

32-fluid ounce =32 \times 0.0078125 =0.25

Let x represent the number of 32-fluid ounce (quarter-gallon) containers needed to collect at least 20 gallons of water for the trip.

One container holds 0.25 gallons of water

Therefore, x containers hold 0.25x gallons of water

Thus, Kevin's total gallons of water =5.5+0.25x

Since it is given that he needs at least 20 gallons of water for the trip.

Hence, 5.5+0.25x\geq 20

Thus, the algebraic inequality representing this scenario is 5.5+0.25x\geq 20

5 0
4 days ago
Read 2 more answers
Find the value of x in the isosceles triangle shown below.
Leona [9271]

Solution:

x=8

Detailed explanation:

This isosceles triangle consists of two right triangles with sides equal to 8,\sqrt{80}, and y

Considering we possess two sides of a right triangle, determining the third side can be achieved using the Pythagorean Theorem

(\sqrt{80} )^2=8^2+y^2\\\\80=64+y^2\\\\y^2=16\\\\y=4

Because it is an isosceles triangle, these two right triangles are the same, thus x=2y

Hence, x=2(4)=8

8 0
10 days ago
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Jacque needs to buy some pizzas for a party at her office. She's ordering from a restaurant that charges a \$7.50$7.50dollar sig
Svet_ta [9500]

Answer:

Step-by-step explanation:

Delivery charge = $7.50

Cost per pizza = $14

Budgeted total = $60

7.50 + 14p < 60

First, subtract 7.50 from both sides

14p < 60 - 7.50

14p < 52.50

Now divide both sides by 14

p < 52.50 / 14

p < 3.75

Each pizza consists of 8 slices

Therefore, the total number of slices she can buy = 3.75 × 8

= 30 slices

5 0
1 month ago
Sam is designing a fence post for his yard. He will need to construct a perpendicular line through the point above the line to m
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Option D is indeed correct, as it ensures that the post's point is equidistant from the ground, maintaining a perpendicular angle at two points on the surface.
6 0
8 days ago
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The track team is trying to reduce their time for a relay race. First they reduce their time by 2.1 minutes. Then they are able
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The initial time was 15.7 minutes.

Explanation of steps:

Let x represent the initial time (in minutes).

The relay team is working on minimizing their relay race duration.

First, they cut down their time by 2.1 minutes.

Afterwards, they manage to reduce that time by 10 percent.

If the concluding time ends up being 3.96 minutes, then

x-t1-t2= 3.6
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Thus, their starting time was 15.7 minutes.
3 0
16 days ago
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