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Ilya
12 days ago
14

A bundled computer package costs $760.50. There is an 8 percent convenience fee for assembling the package. How much will the co

mputer cost, with assembly?
Mathematics
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Graphs of the following equations are straight lines except :
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Compare the values of the 2s and 5s in 55,220
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The number 55,220 has two 5s and two 2s. The 5s appear in the ten-thousands and thousands places, representing 50,000 and 5,000 respectively. The 2s occupy the hundreds and tens positions, corresponding to 200 and 20. In total, the 5s sum to 55,000, while the 2s add up to 220.
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1 month ago
USING STRUCTURE An athletic facility is building an indoor track. The track is composed of a rectangle and two semicircles, as s
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Answer:

Step-by-step explanation:

Refer to the attached digram.

The track's perimeter consists of the rectangle's perimeter plus the perimeters of the two semicircles.

The perimeter of a rectangle can be expressed as 2(x+r) where:

x is the length

2r represents the rectangle's width, equivalent to the semicircle's diameter.

The perimeter of one semicircle is calculated as 2πr/2, simplifying to πr.

Thus, the total perimeter contributed by the two semicircles is 2πr.

Therefore, the full track perimeter is expressed as 2(x+2r) + 2πr

where r indicates the semicircle's radius.

Expanding this gives us

Perimeter of the track = 2x + 4r + 2πr

which can also be represented as Perimeter of the track = 2(x + 2r + πr)

b) Given P = 2(x + 2r + πr), we need to rearrange the equation to isolate x.

P = 2x + 4r + 2πr

By subtracting 4r and 2πr from both sides, we get P - 4r - 2πr = 2x

Next, we divide each side by 2.

(P - 4r - 2πr) / 2 = 2x

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c) Given

P = 600ft

r = 50ft

x = (600 - 4(50) - 2π(50)) / 2

x = (600 - 200 - 100(3.14)) / 2

x = 400 - 314 / 2

x = 86 / 2

x = 43ft

Therefore, rounding to the nearest foot, the value of x is 43ft

4 0
2 months ago
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