1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
natulia [17]
3 years ago
13

Write -0.5 repeating as a fraction in simplest form​

Mathematics
2 answers:
mario62 [17]3 years ago
4 0
The answer is 5/9.
(P.S. I got the step by step solution from a Socratic Question and Answer website)

Semmy [17]3 years ago
4 0

let's start by making the expression the recurring value, and then we'll multiply it by some power of 10 so that we move the recurring decimal over to the left, and then again by a power of 10 so we move a second part of the recurring decimal over, let's proceed,

\bf x = 0.\overline{5}~\hfill \begin{array}{llll} 10\cdot x&=&5.\overline{5}\\\\ 100\cdot x&=&55.\overline{5} \end{array}~\hfill \begin{array}{rllll} \stackrel{100x}{55.\overline{5}}\\\\ -\stackrel{10x}{5.\overline{5}}\\\cline{1-1} 50 \end{array} \\\\[-0.35em] ~\dotfill\\\\ 100x-10x=50\implies 90x=50\implies x=\cfrac{50}{90}\implies x=\cfrac{5}{9}\implies \stackrel{x = -0.\overline{5}}{x=-\cfrac{5}{9}}

You might be interested in
Multiplying polynomials <br><br> (3x-8) (2x-2)
Neko [114]
(3x - 8)(2x - 2)
(6x² - 6x - 16x + 16)
6x² - 22x + 16
4 0
3 years ago
Read 2 more answers
How would I solve <img src="https://tex.z-dn.net/?f=8%5E%7B3%2F2%7D%20%2A%202%5E%7B3%2F2%7D" id="TexFormula1" title="8^{3/2} * 2
andriy [413]
The asnwer is 36 i think

the first mixed fraction would turn into 12 and the second would be 3, and 12 x 3 is 36
6 0
3 years ago
The roots of the quadratic equation $z^2 + az + b = 0$ are $2 - 3i$ and $2 + 3i$. What is $a+b$?
AlladinOne [14]
We know for our problem that the zeroes of our quadratic equation are (2-3i) and (2+3i), which means that the solutions for our equation are x=2-3i and x=2+3i. We are going to use those solutions to express our quadratic equation in the form a x^{2} +bx+c; to do that we will use the <span>zero factor property in reverse:
</span>x=2-3i
x-2=-3i
x-2+3i=0
<span>
</span>x=2+3i
x-2=3i
x-2-3i=0
<span>
Now, we can multiply the left sides of our equations:
</span>(x-2+3i)(x-2-3i)= x^{2} -2x-3ix-2x+4+6i+3ix-6i-3^2i^2
<span>= </span>x^{2}-4x+4-9i^{2}
= x^{2} -4x+4+9
= x^{2} -4x+13
Now that we have our quadratic in the form a x^{2} +bx+c, we can infer that a=1 and b=-4; therefore, we can conclude that a+b=1+(-4)=1-4=-3.
6 0
3 years ago
2. A rectangle has a perimeter of 100. Its
slava [35]

Answer:

Option H

Step-by-step explanation:

Perimeter of rectangle= 2(length) +2(width)

100= 2(5a -22) +2[½(a +1)]

Expand:

100= 2(5a) +2(-22) +a +1

100= 10a -44 +a +1

Simplify:

100= 11a -43

+43 on both sides:

11a= 100 +43

11a= 143

Divide both sides by 11:

a= 143 ÷11

a= 13

Thus, option H is correct.

8 0
3 years ago
Imani won 50 super bouncy balls playing
pantera1 [17]

Answer:

16

Step-by-step explanation:

50-2= 48

48 divide by 2 is 16

8 0
3 years ago
Other questions:
  • Select the correct answer from each drop-down menu.
    5·1 answer
  • How to find the third side of a non right triangle?
    13·1 answer
  • The angles below are supplementary. what is the value of x?
    7·2 answers
  • The line y = 5x/3 + b goes through the point (7, –1). What is the value of b?
    8·1 answer
  • in a certain population, 11% of people are left-handed. Suppose that you plan to randomly select 100 people and ask each person
    14·1 answer
  • Help please It's for my math test Algebra I content.
    14·1 answer
  • How many solutions does this equation have?
    5·1 answer
  • Help pls and just come for the points
    12·2 answers
  • PLEASEEEEEE HELP IM RLLY STRUGGLING BRAINLIEST
    5·1 answer
  • Find all solutions of the equation in the interval [0, 2).
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!