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son4ous [18]
3 years ago
6

Sharon is making 100 liters of punch for a party. The punch contains ginger ale (g) and fruit (f). The cost of the ginger ale is

$1 per liter and the fruit juice is $1.50 per liter. If Sharon spent a total of $130, how many liters of each did she put in the punch?
Mathematics
1 answer:
SIZIF [17.4K]3 years ago
7 0

Answer:

12 liters of fruit.

88 liters of ginger ale.

Step-by-step explanation:

100 = g + f

130 = 1g + 1.5f 

f = 12 

because u can use elimination by multiplying equation 2 by -1 to cancel out g variable then combine both equations

g = 88

because plug in f's value of 12 to 1st equation then subtract 12 from each side

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The <em>total</em> area of all six faces of the tunnel is 614.197\pi square centimeters.

<h2>Procedure - Surface area of a tunnel for a toy train</h2>

The surface area of the solid (A) used to represent the tunnel for a toy train is the sum of its six faces (two <em>semicircular</em> sections, inner <em>semicircular</em> arc section, outer <em>semicircular</em> arc section, two rectangles).

<h3>Determination of the surface area of the tunnel based on information of the diagram</h3>

We calculate the surface area as following:

A = 2\cdot \frac{\pi}{2} \cdot [(10\,cm)^{2}-(8\,cm)^{2}] + \pi\cdot (8\,cm)\cdot (30\,cm) + \pi\cdot (10\,cm)\cdot (30\,cm) + 2\cdot (2\,cm)\cdot (30\,cm)

A = 614.197\pi\,cm^{2}

The <em>total</em> area of all six faces of the tunnel is 614.197\pi square centimeters. \blacksquare

To learn more on surface areas, we kindly invite to check this verified question: brainly.com/question/2835293

5 0
2 years ago
X=3y-4<br> 2x-y=7<br> use substitution method. pls explain :)
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Answer:

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