<span>With algebraic expressions, you can’t add and subtract any terms like you can add and subtract numbers. Terms must be like terms in order to combine them. So, you can’t always simplify an algebraic expression by following the order of operations. You have to use the distributive property to rewrite the expression and then combine like terms to simplify. With numeric expressions, you can either simplify inside the parentheses first or use the distributive property first.</span>

now, if you notice, the positive fraction, is the one with the "y" variable, and that simply means, the hyperbola traverse axis is over the y-axis, so it more or less looks like the picture below.
now, from the hyperbola form, we can see the center is at (7, -11), and that the "c" distance is 17.
so, from -11 over the y-axis, we move Up and Down 17 units to get the foci, which will put them at (7, -11-17) or
(7, -28) and (7 , -11+17) or
(7, 6)
Answer:
Pia
Step-by-step explanation:
The smaller the number of pencils in a bundle the greater the number of bundles.
For example if the number of pencils each has is 60,
Then the number of bundles for Pia = 60/10 = 6,
and ...................................................Gauri = 60/12 = 5,
and .....................................................Yasmin = 60/20 = 3.
Let X be the original price.
Do a 40% increase we get the price: X+0.4X=1.4X
Doing a 25% off we get the new price:
(1.4X)-0.25(1.4X)=1.05X
=X+0.05X.
The new prices are 5% increase from the original price.
Answer:
The probability that the yellow M&M came from the 1994 bag is 0.07407 or 7.407%
Step-by-step explanation:
Given
Before 1995
(Br) Brown = 30%
(Y) Yellow = 20% =0.2
(R) Red = 20%
(G) Green =10% =0.1
(O) Orange = 10%
(T) Tan = 10%
After 1995
(Br) Brown = 13%
(Y) Yellow = 14% =0.14
(R) Red = 13%
(G) Green = 20%
= 0.2
(O) Orange = 16%
(Bl) Blue = 24%
Since there are two bags, let A be the bag from 1994, and B be the bag from 1996
Then let AY imply we drew a yellow M&M from the 1994 bag
AG implies we drew a green M&M from the 1994 bag
BY implies imply we drew a yellow M&M from the 1996 bag
BG implies we drew a green M&M from the 1996 bag
P(AY) =0.2
P (BY) = 0.14
P(AG) =0.1
P(BG) =0.2
Since the draws from the 1994 and 1996 bag are independent,
therefore

The draws can happen in either of the 2 ways in (1) and (2) above
therefore total probability E is given as
E =
For the yellow one to be from 1994, it implies that the event to be chosen is

Since the total probability is given as E=0.054
then 
Concluding statement: This is the condition for the Yellow one to come from 1994 and green from 1996 provided that they obey the condition from E