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Vlad [161]
4 years ago
15

115% of what number is 120?

Mathematics
2 answers:
Oksi-84 [34.3K]4 years ago
7 0
115% of x =120 

115/100*x=120

23/20*x=120

23/20=120/x

x=20*120/23

x=104,34
antiseptic1488 [7]4 years ago
4 0
115% is the same as 1.15
some number = x

115% of some number is 120
1.15 of x is 120
1.15 * x = 120
\frac{1.15*x}{1.15} = \frac{120}{1.15}
x = 104.3478
x ≈ 104.3

Hope this helps! :)
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<u>The given options are:</u>

(A)the central angle measure of the sector divided by the total angle measure of a circle multiplied by the area of the circle will yield the area of the sector.

(B)the central angle measure of the sector divided by the total angle measure of a circle multiplied by the circumference of the circle will yield the area of the sector.

(C)the central angle measure of the sector multiplied by the area of the circle will yield the area of the sector.

(D)the central angle measure of the sector multiplied by the circumference of the circle will yield the area of the sector.

Answer:

(A)the central angle measure of the sector divided by the total angle measure of a circle multiplied by the area of the circle will yield the area of the sector.

Step-by-step explanation:

The area of the shaded sector can be determined using the formula:

\frac{m\angle ZYX}{360^\circ} \cdot \pi r^2

m\angle XYZ=$Central angle of XYZ\\\pi r^2$=Area of a Circle

360^\circ =$Total Angle

Therefore, the formula is:

\dfrac{m\angle ZYX}{360^\circ} \cdot \pi r^2\\\text{Area of XYZ}=\dfrac{\text{Cental Angle of XYZ}}{\text{Total Angle}} X \text{Area of the Circle}

Therefore, the formula is best explained by Option A.

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3 years ago
A concession stand sells hamburgers (h) for $2 and hotdogs(d) for $1.On friday night they sold a total of 300 hamburgers and hot
Olegator [25]
The first equation has to be the sum of hotdogs and hamburgers. Since a total of 300 <span>hamburgers and hotdogs was sold, the first equation is:
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Now, the second equation is about the money. They say that EACH hamburger cost $2 and each hotdog cost $1. And, the total amount of money made was $420. So the second equation is:

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SO, overall, the system of equations is this:

   
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The 95% confidence interval for the proportion is expressed according to the formula;

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Substitute the given parameters into the formula to have:

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Hence a 95% confidence interval for the proportion of non-fatal accidents involving a distracted driver using some kind of electronic device is 62.5%<x<71.61%

Learn more on confidence interval here: brainly.com/question/17212516

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Answer:

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