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Andreas93 [3]
3 years ago
6

Sherry purchased a new backpack for her daughter. The backpack was on sale for 20% off the regular price. If Sherry paid $28.80

for the backpack without sales tax, what was the original price?
Mathematics
1 answer:
madreJ [45]3 years ago
6 0


28.80 + .20X = X

.20X = X - 28.80

1/5 = .20

X/5 = X -28.80

X = 5X - 144

Set the new X equal to the original X

28.80 + .20X = 5X - 144

172.8 + .20X = 5X

172.8 = 4.8X

36 = X

36$ is the original price

To check,

28.80 + (.20 x 36) = 36

28.80 + 7.2 = 36

36 = 36

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Using the normal distribution relation, the probability that sample will exceed the weight limit is 0.004

<u>Using the relation</u> ::

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The mean, μ = np = (162 × 19) = 3078

The standard deviation, σ = 28 × √19 = 122.049

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2 years ago
A square garden plot measures 180 square feet. A second square garden plot measures 320 square feet. How many more feet of fence
REY [17]

The second garden plot will require 8√5 feet more fence than the first garden plot.

Further explanation:

In order to find the fence, we have to find the perimeter of both squares

So,

Area of Square 1: A1=180 square feet

Area of Square 2: A2=320 Square feet

Let x be the side of square 1:

Then,

A_1=x^2\\180=x^2\\Taking\ square\ root\ on\ both\ sides\\\sqrt{180}=\sqrt{x^2}\\x=\sqrt{2*2*3*3*5}\\x=\sqrt{2^2*3^2*5}\\x=2*3\sqrt{5}\\x=6\sqrt{5}

For second square:

Let y be the side of second square

A_2=y^2\\320=y^2\\Taking\ square\ root\ on\ both\ sides\\\sqrt{320}=\sqrt{y^2}\\y=\sqrt{2*2*2*2*2*2*5}\\y=\sqrt{2^2*2^2*2^2*5}\\y=2*2*2\sqrt{5}\\y=8\sqrt{5}

Perimeter of First Square:

P_1=4x\\=4(6\sqrt{5})\\=24\sqrt{5}\ feet

Perimeter of Second Square:

P_2=4y\\=4(8\sqrt{5})\\=32\sqrt{5}\ feet

The smaller perimeter will be subtracted from larger perimeter to find that how much more fence will be needed.

P_2-P_1=32\sqrt{5}-24\sqrt{5}\\=(32-24)\sqrt{5}\\=8\sqrt{5}\ feet

The second garden plot will require 8√5 feet more fence than the first garden plot.

Keywords: Radicals, Operations on Radicals

Learn more about radicals at:

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