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larisa [96]
3 years ago
14

For the percent 82%, (a) write a decimal and (b) write a fraction in lowest terms.

Mathematics
2 answers:
Tasya [4]3 years ago
5 0

Answer:

a) .82, b) 41/50

Step-by-step explanation:

a) The decimal form would be 0.82 - when writing a percentage as a decimal, we use 0.0-1.0 to represent 0% through 100%. Since it is 82%, it would translate to .82!

b) Since it is 82% out of 100%, we would write the fraction as 82/100. Additionally, you can divide it by 2 to get 41/50, thus reaching its simplest form!

ale4655 [162]3 years ago
3 0

Answer:

.82

41/50

Step-by-step explanation:

82%

Move the decimal 2 places to the left to change to decimal form

.82

Percent means out of 100

82/100

Divide by 2

41/50

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How do you write it in an equation 14/7=2
maria [59]

Answer:

14/7=2

14 over 7 equals 2 so 2=2.

Step-by-step explanation:

8 0
3 years ago
A rectangular field has an area of 1,764 m2. The width of the field is 13 m more than the length. What is the perimeter of the f
kirill [66]
Well for a rectangle, the area

A=Length x Width,
1764<span>=Length x Width,

Since </span><span>the width of the field is 13 m more than the length, the length will be equal to the with + 13, 
L=W+13,

</span>1764<span>=LW
</span>1764=(W+13)(W)
W=36 meters

They want the perimeters, so add them up

2W+2L
=2(36)+2(49)
=170 meters
8 0
3 years ago
I’m confused on what’s going on here, so if someone could explain it I would be super grateful.
pshichka [43]
<h2>Range of x </h2><h3>-\frac{1}{5} and x>6</h3><h3>Step-by-step explanation:</h3>

Given AB = 4x + 5, BC = 3x - 2 and AC 9x -5

The sum of the length of any two sides of a triangle is greater than the length of third side.

Case I

AB + BC > AC

⇔4x +5 +3x -2 > 9x -5

⇔7x + 3 >9x - 5

⇔ 7x -9x > -5 -3

⇔-2x > -8

⇔x <4

Case II

if AB+AC > BC

4x +5 +9x -5> 3x -2

⇔13x >3x -2

⇔ 13x -3x> -2

⇔10x > -2

⇔x >-\frac{1}{5}

Case III

AC+BC > AB

⇔9x - 5 +3x - 2 > 4x +5

⇔6x -7 > 4x +5

⇔6x -4x >5+7

⇔2x > 12

⇔x > 6

8 0
3 years ago
Factor the expression: x^6-729. Show your work Please.
Brut [27]

Answer:

  • (x + 3)(x - 3)(x^2 -3x + 9)(x^2 + 3x + 9)

Step-by-step explanation:

<u><em>Use of formulas:</em></u>

  • <em>a^2 - b^2 = (a + b)(a -b)</em>
  • <em>a^3 + b^3 = (a + b)(a^2 - ab + b^2)</em>
  • <em>a^3 - b^3 = (a - b)(a^2 + ab + b^2)</em>

<u>Given the expression: </u>

  • x^6-729

<u>Factoring 729</u>

  • 729 = 3*3*3*3*3*3 = 3^6

<u>Factoring the expression </u>

  • x^6 - 3^6 =
  • (x^3)^2 - (3^3)^2 =
  • (x^3 + 3^3)(x^3 - 3^3) =
  • (x + 3)(x^2 -3x + 9)(x - 3)(x^2 + 3x + 9) =
  • (x + 3)(x - 3)(x^2 -3x + 9)(x^2 + 3x + 9)
7 0
3 years ago
2x^2+16x+42=0 what is the answer?
Debora [2.8K]

Answer:

no solution

Step-by-step explanation:

With some linear expressions, like this one, that has an answer of 0 has no solution

3 0
3 years ago
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