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hram777 [196]
3 years ago
13

Express 0.484848..... in p/q form​

Mathematics
1 answer:
cupoosta [38]3 years ago
7 0
<h3>Answer:  16/33</h3>

It's in p/q form where p = 16 and q = 33.

=======================================================

Work Shown:

x = 0.484848.....

100x = 48.4848.....

I multiplied both sides by 100 to move the decimal over 2 spots. Both decimal values for x and 100x have an infinite string of "48"s repeated after the decimal point. When we subtract, those infinite strings will cancel out

100x - x = 99x

48.4848..... - 0.484848..... = 48

So after subtracting straight down, we have the new equation 99x = 48 which solves to x = 48/99

Divide both parts by the GCF 3 to fully reduce

48/3 = 16

99/3 = 33

Therefore, x = 48/99 = 16/33 = 0.484848...

I recommend using a calculator to confirm that 16/33 = 0.484848...

Side note: your calculator may round the last digit, but this is of course rounding error

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What is 1,305 divided by 12
DIA [1.3K]

Answer: 108.75

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Find the least number of cuboids of sides 20 cm 15 cm and 9cm required to make a perfect cube​
NikAS [45]

Answer:

<em>No. of cuboids required to form a cube = 2*2*5 = 20 Therefore, 20 cuboids will be required to form a cube.</em>

4 0
2 years ago
The coordinates of the vertices for rectangle ABCD are A (2,4), B (6,10), C (9,8) and D (5,2). What
sweet [91]

Answer:

D. \sqrt{65}

Step-by-step explanation:

The computation of the  length of a diagonal (AC or BD) of the rectangle is shown below:

As we know that

The Diagonal length of AC is

= (x_2 - x_1)^2 + (y_2 - y_1)^2\\\\= (9 -2)^2 + (8 - 4)^2\\\\= (7)^2 + (4)^2

= \sqrt{49 + 16}\\\\= \sqrt{65}

Therefore correct option is D.

3 0
2 years ago
Work out angle bxc. give a reason for each angle you work out
Rus_ich [418]

Answer:

∠ BXC = 70°

Step-by-step explanation:

∠ XBC and ∠ AXY are corresponding angles and are congruent, then

∠ XBC = 55°

Since XB = XC , then Δ XBC is isosceles and the 2 base angles are congruent.

∠ BXC = 180° - (55 + 55)° ← angle sum of triangle

∠ BXC = 180° - 110° = 70°

7 0
2 years ago
$ 65 is marked up to $70.20
olganol [36]
You can work out the difference between the numbers by taking the smaller one away from the larger one:
70.20 - 65 = 5.20

Then you can divide the difference (5.20) by the original number (65) to get how many percent it is of 65 in decimal form:
5.20/65 = 0.08

Then you can times it by 100, to get the percentage:
0.08 * 100 = 8%

This means there was a 8% price increase in $65 to get to $70.20

Hope this helps! :)
5 0
3 years ago
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