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tiny-mole [99]
3 years ago
6

A new gaming system costs $350. A store offers a 20% discount on the new gaming system. What is the amount of the discount?

Mathematics
2 answers:
Artist 52 [7]3 years ago
5 0

Answer:

70

Step-by-step explanation:

nexus9112 [7]3 years ago
5 0

Answer: $70

Step-by-step explanation:

1. Make an equation: since 100% price is equal to $350, you can make this ratio => 100:$350=80:$x

x stands for the cost after 20% discount.

2. Solve by cross multiply: 350*80=100x => 28000=100x => x=280

3. Subtract : to find the amount of discount, subtract the discounted price from the original price => 350-280=70

Have a nice day! :D

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The circumference of the ellipse approximate. Which equation is the result of solving the formula of the circumference for b?
Serhud [2]

Answer:

b = \sqrt{\frac{C^{2} }{2(\pi )^{2} }  -  a^{2}}

Step-by-step explanation:

Given - The circumference of the ellipse approximated by C = 2\pi \sqrt{\frac{a^{2} + b^{2} }{2} }where 2a and 2b are the lengths of 2 the axes of the ellipse.

To find - Which equation is the result of solving the formula of the circumference for b ?

Solution -

C = 2\pi \sqrt{\frac{a^{2} + b^{2} }{2} }\\\frac{C}{2\pi }  =  \sqrt{\frac{a^{2} + b^{2} }{2} }

Squaring Both sides, we get

[\frac{C}{2\pi }]^{2}   =  [\sqrt{\frac{a^{2} + b^{2} }{2} }]^{2} \\\frac{C^{2} }{(2\pi)^{2}  }   =  {\frac{a^{2} + b^{2} }{2} }\\2\frac{C^{2} }{4(\pi)^{2}  }   =  {{a^{2} + b^{2} }

\frac{C^{2} }{2(\pi )^{2} }  = a^{2} + b^{2} \\\frac{C^{2} }{2(\pi )^{2} }  -  a^{2} = b^{2} \\\sqrt{\frac{C^{2} }{2(\pi )^{2} }  -  a^{2}}  = b

∴ we get

b = \sqrt{\frac{C^{2} }{2(\pi )^{2} }  -  a^{2}}

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