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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:
m = 11/9
Step-by-step explanation:
m = (y2 - y1) / (x2 - x1)
= (-7 - 4) / (-3 - 6)
= -11/-9
= 11/9
First set up your two equations:
x + y = 90
x = 2y - 30
Then substitute what x equals in the second equation into the first equation:
(2y -30) + y = 90
Now solve for y:
3y -30 = 90
3y = 120
y = 40
Then use y = 40 and substitute the value for y into one of your original equations and solve for x. I'll choose the first one, but either one will work.
x+ 40 = 90
x = 50
So your solution is x = 50 and y = 40
Answer:
I don't understand what you want me to do
Step-by-step explanation:
I think this is it, but i’m not sure about the last one
