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Answer: 10.68% decrease (choice F)</h3>
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Explanation:
A decrease of 23% means that you still retain 77% of the original value. This is because 23% + 77% = 100%. Or you could write it like this: 100% - 23% = 77%. The 77% then converts to the multiplier 0.77
An increase of 16% will involve the multiplier 1.16 in which we can think of it like 1.16 = 1 + 0.16 = 100% + 16%
Now we'll multiply those two decimal values mentioned:
0.77*1.16 = 0.8932
This result is smaller than 1, so we have a percent decrease of some sort. Subtract it from 1 to find the decimal form of the percent decrease
1 - 0.8932 = 0.1068
Lastly, move the decimal point 2 spots to the right:
0.1068 converts to 10.68%
We have a decrease of 10.68% overall when combining the initial 23% decrease followed by the 16% increase.
It turns out the order doesn't matter, and we could do the 16% increase first then the 23% decrease next. The key as to why the order doesn't matter all relies on the fact that multiplication can be done in any order. As you can probably guess, this process can be extended for as many percentage increases and/or decreases that you want.
Answer:
1/4
Step-by-step explanation:
3 divided by 3 is 1, 1 divided by 1 is just a fraction or .25
Answer:
90t-21t=69t
Step-by-step explanation:
4:00pm to 6:00 am is 14 hours. 14 x 1.5 is in fact 21 which means the temperature dropped 21 degrees in those 14 hours.
Answer:
(D)
Step-by-step explanation:
From the figure, we have
The coordinates of the point F are: (-4,1).
The coordinates of the point G are: (0,-2)
The coordinates of the point J are: (0,4) and
The coordinates of the point H are: (-4,-2).
Now, the slope of the line FG is :
And, the slope of the line HJ is:
Now, 
which is not possible, thus They are not perpendicular because their slopes are not negative reciprocals.
