The information's given in the question should be very minutely checked. Based on those given information's the answer to the question can easily be deduced.
Amount of sugar in the cabinet of Cassie = 1/2 pound
Amount of sugar required by Cassie to make her cake recipe = 2/10 pound
= 1/5 pounds
Then
The number of cakes that Cassie can make = (1/2)/(1/5)
= 5/2
= 2 1/2
So from the above deduction we can easily conclude that Cassie can make a total of 2 cakes with the sugar she has and there will still be some sugar left.
Answer:

Step-by-step explanation:
We are given the following in the question:
Quantity, q
Selling price in dollars per yard, p

Total revenue earned =

f(20)=13000
This means that 13000 yards of fabric is sold when the selling price is 20 dollars per yard.
f′(20)=−550
This means that increasing the selling price by 1 dollar per yards there is a decrease in fabric sales by 550.
We have to find R'(20)
Differentiating the above expression, we have,

Putting the values, we get,

Answer:
Q=2
Step-by-step explanation:
hello :
the solution to the system is
{(x,y) : x-3y=4} means infinty solution
X-3y=4
....(*)
Qx-6y=8....(**)
multiply (*) by -2
-2x+6y = -8 (***)
add (*) and (***) : (Q-2)x =0
this ie true for reals x when Q=2
Answer: 1:1
Step-by-step explanation:
Let r be the radius and h be the height of a cylinder.
Formula: Curved surface area of cylinder = 
Now, if radius of a cylinder is doubled and its height is halved, then new radius will be R= 2r and new height will be 
Now, new surface area = 
Ratio of curved surface areas : 
Hence, the ratios of their surface areas = 1:1 .
Nine and a half times.
***
you can put it fully nine times. You reach 18 like this. But you have 1 more to go until 19! So, just cut the 2 in half to get 1, and put that in!