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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}}

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Please help! Correct answer only!
Tcecarenko [31]

Answer:

<em>" Expected Payoff " ⇒ $ 1.56 ; Type in 1.56</em>

Step-by-step explanation:

Consider the steps below;

Tickets That Can Be Entered - 1 Ticket,\\Total Tickets Entered - 1000 Tickets,\\\\Proportion - 1 / 1000,\\Money One ( First Ticket ) = 820 Dollars,\\Money One ( Second Ticket ) = 740 Dollars,\\\\Proportionality ( First ) - 1 / 1000 = x / 820,\\Proportionality ( Second ) - 1 / 1000 = x / 740\\\\1 / 1000 = x / 820,\\1000 * x = 820,\\x = 820 / 1000,\\x = 0.82,\\\\1 / 1000 = x / 740,\\1000 * x = 740,\\x = 740 / 1000,\\x = 0.74\\\\Conclusion ; " Expected Payoff " = 0.82 + 0.74 = 1.56

<em>Solution; " Expected Payoff " ⇒ $ 1.56</em>

4 0
3 years ago
1) Which diagram shows the correct construction of a line parallel to line l and passing through point P?
kherson [118]

1)To construct a line parallel to line l and passing through point P our first step is to join the point and line and then draw angles in such a way so that corresponding angles are equal.

Option B is the correct construction of a line parallel to line l and passing through point P.

2) To Construct the perpendicular line to line DE at point F we cut an arc from point F  to line DE in such a way it cuts line DE at two points .From these two points we draw arcs which cut each other .

Option C is the correct option  to Construct the perpendicular line to line DE at point F.

3) To Construct a perpendicular from the given line segment that passes through the given point we cut two arcs on top and bottom of line segment.

Option B is the right answer.

3 0
3 years ago
The height of a trapezoid is 8in. and its area 96 in. (2nd Power) One base of the trapezoid is 6 inches longer that the other ba
Jlenok [28]
The lengths of the bases would be 3 and 9
Step by Step Description:

7 0
3 years ago
Someone plz help me
marusya05 [52]
This is a parabola which looks like an inverted U. Its will have a maximum value  when t = 7  as we see from  the vertex form below:-

- t^2 + 14t - 40 
= - ( t - 7)^2 + 49 - 40
= -(t - 7)^2 + 9

There is an axis of symmetry at  x = 7.

so a is true  since 7 is the maximum value of the function and  its less at t = 6.
c is also true   because  of the symmetry about t = 7

8 0
3 years ago
‼️10 point‼️URGENT‼️
Elena-2011 [213]

D. y=-3/10x+1/2

Step-by-step explanation:

Using rise/run you can count the units the line moves from one point to another, from the left point to the right point the line travels down 3 and over 10 so you get -3 as your rise (it is negative because the line is traveling downwards) and 10 as your run, so your slop is -3/10. By looking at the graph you can see that your y-intercept is 1/2. SO when plugged into y=mx+b with m as -3/10 and b as 1/2 you get the equation y=-3/10x+1/2, or letter D.

4 0
3 years ago
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