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puteri [66]
3 years ago
8

The square below represents one whole.

Mathematics
1 answer:
sukhopar [10]3 years ago
6 0

Answer:

Fraction: 9/10

Decimal: 0.9

Percent: 90%

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Express a decimal number ( ie 0.768) - process description please - as a rational number (96/125)?
Stels [109]

The decimal representation of any number is a linear combination of powers of 10. In other words, given a number like 123.456, we can expand it as

1\cdot10^2+2\cdot10^1+3\cdot10^0+4\cdot10^{-1}+5\cdot10^{-2}+6\cdot10^{-3}

10^{-n}=\dfrac1{10^n} for any n, so the above is the same as

100+20+3+\dfrac4{10}+\dfrac5{100}+\dfrac6{1000}=\dfrac{100000+20000+3000+400+50+6}{1000}=\dfrac{123456}{1000}

Similarly, we can write

0.768=\dfrac{768}{1000}

Now it's a question of reducing the fraction as much as possible. We have \mathrm{gcd}(768,1000)=8 so

\dfrac{768}{1000}=\dfrac{96\cdot8}{125\cdot8}=\dfrac{96}{125}

5 0
3 years ago
What is one cubic centimeter equivalent to?
vazorg [7]

Answer:

1 Millimeter

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Solve -2 1/3 - (-5) <br><br><br> ANSWER PLZ
Jlenok [28]

Answer:

Step-by-step explanation:

2.6666666667

6 0
3 years ago
find the x-intercepts and the coordinates of the vertex for the parabola Y equals negative X squared plus 8X -12. If there’s mor
Oksanka [162]

Answer:

x = 2, and 6

x = 2 , 6

Step-by-step explanation:

The quadratic function to analyze is: y = -x^2+8x-12

In order to find where the corresponding parabola intercepts the x axis, we set it equal to zero (y = 0):

y = -x^2+8x-12\\0 = -x^2+8x-12\\x^2-8x+12=0

This equation is easy to solve by factoring. We look for a air of integer numbers whose product equals the constant term "12", and whose combinig renders the coefficient of the middle term of the trinomial "-8".

The two such numbers are "-2" and "-6". We use them to split the middle term, and then solve by factoring by grouping:

x^2-8x+12=0\\x^2-2x-6x+12=0\\(x^2-2x)+(-6x+12)=0\\x(x-2)-6(x-2)=0\\(x-2)(x-6)=0

For the product of two factors to render zero, we need either one to be a zero.This means that (x-2)=0 (that is x = 2), or (x-6)=0 (that is x = 6).

So, there are two x-intercepts: x= 2, and 6

3 0
3 years ago
Shawn buys 15 shirts for a total of $60. Express this as an equation using 'X' as the cost of each shirt.​
valentina_108 [34]

Answer:

15x = 60

Step-by-step explanation:

Hi,

We know he bought 15 shirts for an x amount of dollars, so 15 times however much they cost is 15x and the total is 60.

hope this helps :)

5 0
3 years ago
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