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Artemon [7]
3 years ago
11

Solve for x in the equation x^2-14 x + 31 = 63.

Mathematics
1 answer:
nadya68 [22]3 years ago
3 0

Answer:

x=11.2426

or

x=2.7574

Step-by-step explanation:

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Simplify the expression:<br> - 3d + -9d + 5d
Gnom [1K]

Answer:

7d

Step-by-step explanation:

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Approximate √52 to the tenths place
Anestetic [448]
7.2 is the answer i hope this helps!
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Solve the math problem
Marianna [84]

Answer:

<1 = 109 (Vertically Opposite to <3)

<2 = 71 (Corresponding to <6)

<3 = 109

<4 = 71 (Alternate Interior to <6)

<5 = 109 (Alternate Interior to <3)

<6 = 71

<7 = 109 (Corresponding to <3)

<8 = 71 (Vertically Opposite to <6)

Step-by-step explanation:

<1 = 2x + 29

<2 = x + 31

<3 = 2x + 29

<4 = x + 31

<5 = 2x + 29

<6 = x + 31

<7 = 2x + 29

<8 = x + 31

<1 + <2 = 180

(2x + 29) + (x + 31) = 180

(2x +x) + (29 + 31) = 180

3x + 60 = 180

3x = 180 - 60 = 120

x = 120/3

x = 40

<1 = (2x + 29)

   = (2 * 40) + 29

   = 80 + 29

   = 109

<2 = x + 31

    = 40 +31

    = 71

3 0
3 years ago
Reverse the two digits of my age, divide by three, add 20, and the result is my age. How many years old am I
lapo4ka [179]

Answer:

  • 48 years old.

Step-by-step explanation:

Let the age be xy or 10x + y.

Reverse the two digits of my age, divide by three, add 20, and the result is my age, convert this to equation:

  • (10y + x)/3 + 20 = 10x + y
  • (10y + x)/3 = 10x + y - 20
  • 10y + x = 3(10x + y - 20)
  • 10y + x = 30x + 3y - 60
  • 30x - x + 3y - 10y = 60
  • 29x - 7y = 60

We should consider both x and y are between 1 and 9 since both the age and its reverse are 2-digit numbers.

Possible options for x are:

  • 29x ≥ 7*1 + 60 = 67 ⇒ x > 2, at minimum value of y,

and

  • 29x ≤ 7*9 + 60 = 123 ⇒ x < 5, at maximum value of y.

So x can be 3 or 4.

<h3>If x = 3</h3>

  • 29*3 - 7y = 60
  • 87 - 7y = 60
  • 7y = 27
  • y = 27/7, discarded as fraction.

<h3>If x = 4</h3>

  • 29*4 - 7y = 60
  • 116 - 7y = 60
  • 7y = 56
  • y = 8

So the age is 48.

6 0
2 years ago
Each marble bag sold by hans marble company contains 7 yellow marbles for every 5 blue marbles. if a bag has 35 blue marbles, ho
Pavlova-9 [17]
The answer is 49 because since she multiplied 5 by 7 you have to do the same to yellow marbles so 7×7 = 49
5 0
4 years ago
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