She has distributed the bracket incorrectly
(64 + 5) - 0.2(- 20 + 10)
= (69) - 0.2 (- 10)
=34.5 + 2
= 36.5
A recipe calls for 3 avocados for each bowl of guacamole.
Let avocados = a, guacamole = g:
g = a/3
You have 17 avocados. Plug in 17 for a
g = 17/3
g = 5.66 (continuing).
However, they are asking for only "full bowls", which means you will not count any parts, and you will not round.
5.66 will become 5
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5 is your answer
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hope this helps
The sale price was 30% off the original price, which means it was on sale for 70% of the original cost ( 100% - 30% = 70%)
To find the original cost, divide the sale price by the percent of the original cost:
21 / 0.70 = 30
The original price was $30
check:
30 x 0.3 = 9 ( amount of discount)
30 - 9 = 21 ( sale price)
Answer:
There are two possible options: 
or 
.
Step-by-step explanation:
There are two possible options depending on what the point of origin is. Vectorially speaking, we can determine the coordinates of the point that partitions the segment is described below:
![P(x,y) = A(x,y) + r\cdot [B(x,y) - A(x,y)]](https://tex.z-dn.net/?f=P%28x%2Cy%29%20%3D%20A%28x%2Cy%29%20%2B%20r%5Ccdot%20%5BB%28x%2Cy%29%20-%20A%28x%2Cy%29%5D)
(1)
Where:
- Point of origin.
- Point of destination.
- Partition factor.
Option 1: 
, 
, 
![P(x,y) = (-1, - 8) + \frac{1}{3}\cdot [(5,-2)-(-1,-8)]](https://tex.z-dn.net/?f=P%28x%2Cy%29%20%3D%20%28-1%2C%20-%208%29%20%2B%20%5Cfrac%7B1%7D%7B3%7D%5Ccdot%20%5B%285%2C-2%29-%28-1%2C-8%29%5D)
Option 2: 
, 
,
![P(x,y) = (5,-2) + \frac{1}{3}\cdot [(-1,-8)-(5,-2)]](https://tex.z-dn.net/?f=P%28x%2Cy%29%20%3D%20%285%2C-2%29%20%2B%20%5Cfrac%7B1%7D%7B3%7D%5Ccdot%20%5B%28-1%2C-8%29-%285%2C-2%29%5D)
There are two possible options: or .
