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.
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
The best way to do this is to first remove the parenthesis by distributing the negative into them. Then we will group the like terms together, moving their respective signs with them, then we will simplify. For the first one, after distributing the negative into the parenthesis (remember that a negative in front of a set of parenthesis containing a polynomial changes the signs in front of each term within the polynomial; negatives become positives and positives become negatives):
and then grouping like terms next to each other:
(this step is not completely necessary; I just encourage new learners to do it so as to not miss any of the like terms)
The above then simplifies to
The next one, after distributing the negative into the parenthesis:
and then grouping like terms next to each other (remember to move their signs with them!):
In an equilateral triangle, all sides are equal and equal to 180 when added together. because 60×3 is equal to 180, D is the right answer. I hope this helps you!
A product is the result of multiplication. A quotient is the result of division. So you're trying to find the quotient of a number (x) and 5 that equals 8.
Try plugging in the answers. x/5=8
A. x=4 4/5=8 (Incorrect, 4 divided by 5 is 0.8)
B. x=8 8/5=8 (Incorrect, 8 divided by 5 is 1.6)
C. x=40 40/5=8 (Correct, 40 divided by 5 is 8)
D. x=80 80/5=8 (Incorrect, 80 divided by 5 is 16)
So your answer is C. 40 The quotient of 40 and 5 is 8.
