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USPshnik [31]
3 years ago
9

NEED HELP ASAP

Mathematics
2 answers:
notka56 [123]3 years ago
8 0
United Kingdom: 63,708,000
Germany: 80,619,000
Japan: 127,180,000
Bangladesh: 152,510,000
Nigeria: 173,615,000
Brazil: 200,000,000

Explanation: I got this answer from multiplying each equation and listing them above. Then I sorted them least to greatest by the smallest number, to the biggest number.
IRINA_888 [86]3 years ago
5 0
I'll start by expanding everything, and 10^(x) means we move the decimal x places to the right. If we move the decimal to the right but there's no number there, that number is 0.
The populations are as follows (in the order in the graph) -
127,180,000
200,000,000
80,619,000
63,708,000
173,615,000
152,510,000

The first difference is the number of digits. The more, the better. The two that stand out at the bottom are Germany and the UK. Next, we look at the leftmost number. Since 6<8, Germany's population > UK's population. All other countries are greater than Germany. Next, we look at the next smallest amount of digits, which is every other country. We look at the first number, which gives us Japan, Nigeria and Bangladesh. Next, we look at the second number, and since 2<5<7, Japan is smaller than Bangladesh and Nigeria is bigger than Bangladesh. Our current list is as follows:
United Kingdom (UK), Germany, Japan, Bangladesh, Nigeria. Since Brazil 
has been proven to be greater than the rest (as it has more digits and 2>1), our list is now 
United Kingdom (UK), Germany, Japan, Bangladesh, Nigeria, Brazil
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7 0
3 years ago
| x - 1 | = 5x + 10<br> Check for extraneous solutions.
Ronch [10]
[x-1]=5x+10

We have two equations:
1) x-1=5x+10

x-1=5x+10
x-5x=10+1
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x=-11/4

2) x-1=-(5x+10)

x-1=-(5x+10)
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x+5x=-10+1
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we have two  possible solutions:
solution₁;       x=-11/4
solution₂:       x=-3/2

we check it out:
1) x=-11/4
[x-1]=5x+10
[-11/4  - 1]=5(-11/4)+10
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15/4≠-15/4   This solution don´t work.

2) x=-3/2
[x-1]=5x+10
[-3/2  - 1]=5(-3/2)+10
[(-3-2)/2]=-15/2  + 10
[-5/2]=(-15+20)/2
5/2=5/2; this solution works.

Therefore:

Answer: x=-3/2.
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(angle symbol) 1 (congruency symbol) (angle symbol) 8 - Because they are alternate exterior angles

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