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laila [671]
4 years ago
11

A pair of $195 boots are discounted 40% If the boots are reduced in price by an additional 66 2/3% what will the discount price

be?
Mathematics
2 answers:
UNO [17]4 years ago
4 0
First, find the 40% discount.
40% of 195 is 78
195 x 0.40 = 78
Subtract that from 195
195 - 78 = 117
Now, find 66 2/3% of 117, since it is an additional reduction after the original discount.
2/3 = 0.667, so 66 2/3% is 66.667%
117 x 0.66667 = 78.00039
And subtract that from 117
117 - 78.00039 = 38.99961, which in dollars would be $38.99. (hundredths, etc. of a cent are usually just dropped; no rounding involved.)
The discount price would then be $38.99

Sladkaya [172]4 years ago
4 0
First, we find 40% of 195 and subtract it:

0.40 * 195 = 78

195 - 78 = 117

Now let's find 66 2/3% of this and subtract it.

2/3 * 117 = 78

117 - 78 = 39

So the discount price is $39
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Answer:

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Smaller number = 10

Step-by-step explanation:

Step 1: Define variables

<em>x</em> = larger number

<em>y</em> = smaller number

Step 2: Write systems of equations

x + 2y = 62

3x = y + 116

Step 3: Rewrite 1st equation

x = 62 - 2y

Step 4: Substitution

3(62 - 2y) = y + 116

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186 = 7y + 116

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y = 10

Step 5: Plug in <em>y</em> to find <em>x</em>

x + 2(10) = 62

x + 20 = 62

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3 years ago
What is the angle of depression zipline ​
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Answer and Explanation:

The problem provides the following information:

Hypotenuse

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To find the angle of depression, the best trigonometric ratio to use is the sine ratio. After equating it with the ratio of the opposite side over the hypotenuse, get the inverse of the sine ratio as shown:

sin

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y

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θ

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sin

−

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(

1275

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5129

ft

)

θ

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sin

−

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(

0.2485864691

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Step-by-step explanation:

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3 years ago
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zysi [14]

Answer:

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Step-by-step explanation:

Formula:  

Volume of prism = Base area * Height

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From the figure we can see that height of prism = 5 in

Base is a rectangle with length = 6 in and breadth = 3 in

<u>To find the Base area </u>

Area of rectangle=  = length * breadth = 6 * 3 = 18

<u>To find the volume of prism</u>

Volume of prism = Base area * Height = 18 * 5 = 90 m³

Therefore the correct answer is second option 90 m³

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