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3 years ago

What is 4.45 repeating as a fraction.

1 answer:

6 0

This would be so easy for you to solve, in about 3 minutes with a calculator.

A fraction means division ... (the top number) divided by (the bottom number).

Take the fraction part of each choice, do the division for each one,
and see which one gives you 0.4545... repeating.

A). 227/500 = 0.454 That's not 0.45 repeating.

B). 9/20 = 0.45 That's not 0.45 repeating.

C). 5/11 = 0.4545... THAT's 0.4545... repeating !

D). 9/2 = 4.5 That's not 0.45 repeating.

You might be interested in

Lines k and n intersect on the y-axis

avanturin [10]

a) The equation of line k is:

$y = -\frac{202}{167}x + \frac{598}{167}$

b) The equation of line j is:

$y = \frac{167}{202}x + \frac{1546}{202}$

The equation of a line, in <u>slope-intercept formula</u>, is given by:

$y = mx + b$

In which:

m is the slope, which is the rate of change.
b is the y-intercept, which is the value of y when x = 0.

Item a:

Line k intersects line m with an angle of 109º, thus:

$\tan{109^{\circ}} = \frac{m_2 - m_1}{1 + m_1m_2}$

In which $m_1$ and $m_2$ are the slopes of <u>k and m.</u>

Line k goes through points (-3,-1) and (5,2), thus, it's slope is:

$m_1 = \frac{2 - (-1)}{5 - (-3)} = \frac{3}{8}$

The tangent of 109 degrees is $\tan{109^{\circ}} = -\frac{29}{10}$
Thus, the slope of line m is found solving the following equation:

$\tan{109^{\circ}} = \frac{m_2 - m_1}{1 + m_1m_2}$

$-\frac{29}{10} = \frac{m_2 - \frac{3}{8}}{1 + \frac{3}{8}m_2}$

$m_2 - \frac{3}{8} = -\frac{29}{10} - \frac{87}{80}m_2$

$m_2 + \frac{87}{80}m_2 = -\frac{29}{10} + \frac{3}{8}$

$\frac{167m_2}{80} = \frac{-202}{80}$

$m_2 = -\frac{202}{167}$

Thus:

$y = -\frac{202}{167}x + b$

It goes through point (-2,6), that is, when $x = -2, y = 6$ , and this is used to find b.

$y = -\frac{202}{167}x + b$

$6 = -\frac{202}{167}(-2) + b$

$b = 6 - \frac{404}{167}$

$b = \frac{6(167)-404}{167}$

$b = \frac{598}{167}$

Thus. the equation of line k, in slope-intercept formula, is:

$y = -\frac{202}{167}x + \frac{598}{167}$

Item b:

Lines j and k intersect at an angle of 90º, thus they are perpendicular, which means that the multiplication of their slopes is -1.

Thus, the slope of line j is:

$-\frac{202}{167}m = -1$

$m = \frac{167}{202}$

Then

$y = \frac{167}{202}x + b$

Also goes through point (-2,6), thus:

$6 = \frac{167}{202}(-2) + b$

$b = \frac{(2)167 + 202(6)}{202}$

$b = \frac{1546}{202}$

The equation of line j is:

$y = \frac{167}{202}x + \frac{1546}{202}$

A similar problem is given at brainly.com/question/16302622

7 0

2 years ago

What are all the integers for z/x33 xy/98 and 45

Ymorist [56]

Answer:

im pretty sure i got it correct inverse operations since we can say. 2 2 x x. + - = . If we start with x, then add 2 and subtract 2, ... multiplication and division, squares and square roots (for positive numbers), ... The bottom line is obviously false, and so are all of the previous lines. ... 98 x. -. -. = -. 19. 3 5 3 1 x+ - = 20. 2 3 4 7 x - + = 21. (. )3. 1. 1. 8 x-. = 22

Step-by-step explanation:

7 0

2 years ago

Find the total value of an investment of $1030 at 4% for 2 years to the nearest dollar.

mel-nik [20]

Answer:

1114$

Step-by-step explanation:

3 0

2 years ago

What is the solution to the system of equations graphed below

aliina [53]