Answer:
B (-1 , -4)
Step-by-step explanation:
A (3 , 4)
M (1 , 0)
M is the midpoint of segment AB means :
Then
Then
Then
Answer:
slader app helps
Step-by-step explanation:
Hey there! I’m happy to help!
We want to look for the twentieth term in this sequence. Because it is arithmetic, this means that the same term will always be added or subtracted.
As we can see, our first term is 36 and then the third is twenty eight. This is a difference of eight, and since our subtracted term will always be the same, we will take this eight and divide it by two, so we can now see that we are subtracting four for each term.
To find the twentieth term, you could count, but that would be a hassle. You can also use the arithmetic sequence formula, which I will show below.
You take the desired term (20)
Subtract 1 (19)
Multiply it by the common term/difference (19*-4=-76)
And then add the first number of the sequence (-76+36= -40)
You can now do those exact same steps for any arithmetic sequence you are dealing with!
So, your twentieth term is -40!
I hope that this helps!
Answer:
$20
Step-by-step explanation:
We are given the percentages of how much she spent on each purchase but we need the percentage of what is left after each purchase. We calculate this by subtracting each percentage from 100% like so.
100% - 40% = 60%
100% - 20% = 80%
100% - 50% = 50%
Next we need to do is change the percentages into decimal format. We do this by moving the decimal 2 digits to the left. Therefore the percentages wasted are the following
60.0% ⇔ 0.60
80.0% ⇔ 0.80
50.0% ⇔ 0.50
Now that we have the percentages in decimal format we can calculate the total price (t) by retracing the spending process. The spending process was following.
So we have to retrace by solving for , then , and finally (t)
... divide both sides by 0.50
.... divide both sides by 0.20
.... divide both sides by 0.60
Finally we can see that the Total amount of money that Alice had before lunch was $20