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tigry1 [53]
3 years ago
15

Karen's city took a survey about a plan for a new park. Of the people surveyed, 380 liked the plan for the park and 120 did not.

What percentage of the people surveyed liked the plan?
Mathematics
1 answer:
Law Incorporation [45]3 years ago
6 0

Answer:

76

Step-by-step explanation:

Survey response

Those who liked the proposed plan=380 persons

Those who didn't like the proposed plan=120 persons

We assume that the these are the only people who participated, with those who never took sides being zero

Total number of people surveyed=380 persons+120 persons=500 persons

Percentage of those who liked =\frac {380}{500}*100%=76%

Therefore, the percentage that liked the plan is 76%

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The total area of the figure to the right is 299 cm². Use this fact to write an equation involving x. Then solve the
Sliva [168]

Answer:

i. x^{2} + 26x + 144 - 299 = 0

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Step-by-step explanation:

The area of the figure = 299 cm²

The figure has a shape of a rectangle, so that;

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length of the figure = 18 + x

width of the figure = 8 + x

Area of the figure = (18 + x) x (8 + x)

299 = (18 + x) x (8 + x)

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applying the trigonometric formula;

x = (-b ± \sqrt{b^{2} - 4ac}) ÷ 2a

= (-26 ± \sqrt{(26)^{2} - 4(1*-155)}) ÷ 2

= (-26 ± \sqrt{676 +620}) ÷ 2

= (-26 ± \sqrt{1296}) ÷ 2

= (-26 ± 36) ÷ 2

x = (-26 + 36) ÷ 2  OR x = (-26 -36) ÷ 2

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Thus, x = 5

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