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marta [7]
3 years ago
9

18 points were scored by one figure skating pair that was 40% of your final score. What was the final score for that pair of fig

ure skaters?
Mathematics
1 answer:
Vlad1618 [11]3 years ago
8 0
We can solve this problem using cross-multiplying method.

We have following information
18 points = 40%
We need to find out the final score. Let's use x for final number of points.
x points = 100%

We can write this:
18 points = 40%
x points = 100%

We cross multiply numbers
18*100=x*40
1800=40x /:40
1800/40=x
x=45

The final score was 45 points.
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Nutka1998 [239]

If the sides are in the ratio of 11:16:24, it means that they are all multiples of a same number x, according to these factors.

So, the shorter side is 11x feet long, the middle one is 16x feet long, and the longest side is 24x feet long.

This means that the perimeter is

11x+16x+24x = 51x feet long. But we know that this is 510 feet, so we have

51x = 510 \implies x = \cfrac{510}{51} = 10.

So, the three sides are 110, 160 and 240 feet long.

To find the area of a triangle knowing its three sides, you can use Heron's formula, which states that, if s is half the perimeter of the triangle whose sides are a,b,c, the area A is given by

A = \sqrt{s(s-a)(s-b)(s-c)}

In our case, s = 255, a = 110, b = 160, c = 240 so the formula becomes

A = \sqrt{255(255-110)(255-160)(255-240)} = \sqrt{255(145)(95)(15)} = \sqrt{52689375} \approx 7258.74

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4 years ago
The store ordered small posters and large posters to promote their opening. 12 times as many small posters were ordered as large
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Answer:

I think it is 576 small posters.

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3 years ago
What is the sum of all integers between:<br> ✓11 and 39
fredd [130]

Answer:

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Step-by-step explanation:

Since √11 = 3.3166, and 3.3166 is not an integer, so the first integer is 4.

From 1 to 39, there are 39 integers. But we started with 4, so we take out 3 numbers (1, 2, 3). Therefore, there are 39 - 3 = 36 numbers left.

The total number between 4 and 39 is 36 = n.

Sn = n/2 x (a1 + an)

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Answer:

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William charges $4 per hour to babysit. LaRhonda charges a $10 flat fee, plus an additional $2 per hour to babysit. After how ma
strojnjashka [21]

Answer:

After 5 hours

Step-by-step explanation:

LaRhonda charges a 10 dollar fee plus 5 hours will get her 20 dollars.

William will babysit 5 hours for 4 dollars and receive 20 dollars also.

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