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siniylev [52]
1 year ago
12

What is the solution to |x – 5| + 2 < 20?

Mathematics
1 answer:
stepladder [879]1 year ago
3 0

Answer:

Step-by-step explanation:

hello :

|x – 5| + 2 < 20  means :  |x – 5| + 2-2 < 20-2

|x – 5|  < 18

-18< x - 5 < 18

-18+5< x - 5+5 < 18+5

-13< x< 23   ( solutions)

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A large chocolate bar has a base area of 47.1 square feet and it’s length is 0.7 feet longer than twice it’s width. Find the len
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Answer:

The dimensions of the bar are width = 4.68099 feet and length = 10.06198 feet

Step-by-step explanation:

A chocolate bar has a rectangular shape, therefore it's area is given by the following formula:

area = width*length

In this case the length is 0.7 feet longer than twice the width, therefore:

length = 2*width + 0.7

Applying the second equation on the first one and using the data from the question we have:

47.1 = width*(2*width + 0.7)

47.1 = 2*width² + 0.7*width

2*width² + 0.7*width = 47.1

width² + 0.35*width = 23.55

width = \frac{-0.35 \pm \sqrt{0.35^2 -4*1*(-23.55)}}{2*1} = -0.175 \pm 4,85599

width = 4.68099 or width = -5.03099

Since the width can't be negative, it can only be 4.68099 feet.

length = 2*4.68099 + 0.7 = 10.06198 feet.

6 0
2 years ago
For a singing contest in which 42,000 votes were cast, the winner received 3/5 of the votes. How many votes did the winner not r
kirza4 [7]

42,000 x .60 (3/5)=25200

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8 0
3 years ago
What is the value 2 pi into the palette?
solong [7]

Answer:  The answer is 6.28571 . . ..


Step-by-step explanation: We are given ti find the value of twice of pi into the palette.

We are familiar with the irrational number pi. It is defined as the ration of circumference of a circle to the diameter of the circle  and its value is 22/7 or 3.14159 . . ..

Therefore, the value of 2 pi can be calculated as follows.

2\pi=2\times\dfrac{22}{7}=\dfrac{44}{7}=6.28571~.~.~..

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8 0
3 years ago
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2 years ago
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Dans un magasin de sport, une paire de chaussures coûte 69,30 €, après une remise de 30 %. Quel était le prix initial (avant la
galben [10]

Answer:

€99

Step-by-step explanation:

The computation of the original price (before the rebate)  of this pair of shoes is shown below:

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3 0
2 years ago
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