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sergejj [24]
2 years ago
7

What is 15.5% as a fraction and as a decimal and the fraction has to be in simplest form

Mathematics
1 answer:
Dvinal [7]2 years ago
5 0
<span>We know that 100% = 1. Then: 15.5 % = 0.155 ( as a decimal ). Then we can transform 0.155 to the fraction ( also in the simplest form). 0.155 = 155 / 1000. We can divide the numerator ad the denominator of the fraction by 5: 155 / 1000 : 5 / 5 = 31 / 200 ( as a fraction. Answer: 15.5 % vis 31/200 as a fraction and 0.155 as a decimal.Hope I helped! :) Cheers!</span>
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Quadrilateral ABCD is a a square and the length of BE is 6 cm.<br><br>What is the length of AC?
Aloiza [94]

The answer is: 12 centimeters.

The explanation is shown below:

1. By definition, all four sides of the square are equal and the diagonals are equal too.

2. Keeping the information above on mind, you know that AC and BD are equal:

AC=BD

3. Then, the length of BD is twice BE. So, you can calculate it as following:

BD=2BE

BD=2(6cm)\\BD=12cm

4. Therefore, the lenght of AC is:

AC=12cm

5 0
3 years ago
If A(1,2), B(5,-4) and (-3,2) are the vertices of a triangle, which statement holds true?
Zigmanuir [339]

A triangle is a three-edged polygon with three vertices. It is a fundamental form in geometry. The correct option is A.

<h3>What is a triangle?</h3>

A triangle is a three-edged polygon with three vertices. It is a fundamental form in geometry. The sum of all the angles of a triangle is always equal to 180°.

The length of different sides are:

AB = \sqrt{(5-1)^2+(-4-2)^2} = \sqrt{16+36} = \sqrt{52}\rm\ units

BC = \sqrt{(-3-5)^2+(2+4)^2} = \sqrt{64+36} = 10\rm\ units

AC = \sqrt{(2-2)^2+(-3-1)^2} = \sqrt{16} = 4\rm\ units

Since the length of all the sides of the triangle is not equal it is a scalene triangle.

Hence, the correct option is A.

Learn more about Triangle:

brainly.com/question/2773823

#SPJ1

7 0
1 year ago
Read 2 more answers
When i see "The quotient of" what I do
inysia [295]

Answer:

Step-by-step explanation:

Divide

5 0
2 years ago
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Write an expression describing all the angles that are coterminal with 141°.
MA_775_DIABLO [31]
<span>The coterminal angles of angle A are given by adding k times 360° to it, where k is an integer, positive or negative. Similarly, all angles that are coterminal with 141° are given by 141° + k * 360° where k is a positive or negative integer. That is 141° + 360°, 141 + 2*360° , 141+3*360° and so on and 141° - 360°, 141° -2*360°, 141° - 3*360° and so on. 9720)</span>
7 0
2 years ago
A mobile company charges a fixed rate of x cents per minute for the first 120 minutes of talk time and another rate of y cents p
patriot [66]

Answer:

$21.2

Step-by-step explanation:

From the problem given, we express them as algebra so that we can easily solve;

    the total charge on a call greater than 120min is given as;

   120x + y(n - 120) = total cost of call

where n is the number of minutes which is greater than 120;

  •   Ethan paid $26.80  for 175 mins

  n = 175min here;

      120x + y(175 - 120) = 26.80

       120x + 55y = 26.80 ----- (I)

  • $32.40 for 210 minutes

      n = 210min

       120x + y(210 - 120) = 32.4

       120x + 90y = 32.4 ----- (II)

Now let us solve both equations for y and x;

      120x + 55y = 26.80 ----- (I)

     120x + 90y = 32.4 ----- (II)

subtract the two equations;

             90y - 55y = 32.4 - 26.8

                  35y = 5.6

                       y = \frac{5.6}{35}  = 0.16cents

then x;

       120x = 26.8 - 55y from equation I

       120x = 26.8 - 55(0.16)

       120x = 18

            x = \frac{18}{120}  = 0.15cents

Find the cost of 140min of talk time;

  n =140min;

      =  120(0.15) + 0.16(140 - 120)

      = 18 + 0.16(20)

      = 18 + 3.2

      = $21.2

4 0
3 years ago
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