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zalisa [80]
3 years ago
15

70% of a number is 98.

Mathematics
1 answer:
hammer [34]3 years ago
8 0
The solution is as follows:

Set up the proportion:

70% - 98
90% - x

70% / 90% = 98 / x

7 / 9 = 98 /x

(7 / 9) x = 98

x = 98 x 9/7

x = 14 x 9

x = 126

The answer is <span>D. 126.


I hope my answer has come to your help. God bless and have a nice day ahead!</span>
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To the nearest tenth, what is the perimeter of the triangle with vertices at (−2, 3), (3, 6), and (2, −2)?
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Answer:

  20.3

Step-by-step explanation:

The distance formula can be used to find the side lengths.

  d = √((x2 -x1)^2 +(y2 -y1)^2)

For the first two points, ...

  d = √((3 -(-2))^2 +(6 -3)^2) = √(5^2 +3^2) = √34 ≈ 5.83

For the next two points, ...

  d = √((2 -3)^2 +(-2-6)^2) = √(1 +64) = √65 ≈ 8.06

For the last and first points, ...

  d = √((-2-2)^2 +(3-(-2)^2) = √(16 +25) = √41 ≈ 6.40

Then the sum of the side lengths is ...

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The perimeter of the triangle is about 20.3 units.

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Joan and her brother Justin left a hotel at the same time, driving in opposite directions at constant rates. After traveling for
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Answer:

Joan drive with a speed of 55 miles per hour.

Step-by-step explanation:

Given:- Travelling time (t) = 4 hours.

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To find:- Speed of Joan = ?

Solution:-

Let speed of Joan be x,

therefore speed of Justin = x+10          ---------------(from given)

Now, Total speed of Joan and Justin = x+x+10

Total speed of Joan and Justin = 2x+10 ------------(1)

Now formula for speed is,

Speed = \frac{distance}{time}

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2x+10=120

2x=120-10

2x=110

\therefore x=\frac{110}{2}

\therefore x= 55

as x is the speed of Joan,

Therefore Joan drive with a speed of 55 miles per hour.

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3 years ago
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