Answer:
A drawing. I guess the sky
Step-by-step explanation:
this is a very hard question
Answer:
Kayla plays on average 0.2 more chess games than Becker
Step-by-step explanation:
The first thing we must do is calculate the mean of each one.
Becker:
(5 + 2 + 4 + 1 + 1 + 4 + 5 + 3 + 2 + 1) / 10 = 2.8
Kayla:
(2 + 3 + 1 + 1 + 4 + 1 + 5 + 3 + 5 + 5) / 10 = 3
if we subtract these averages, we have to:
3 - 2.8 = 0.2
which means that Kayla plays on average 0.2 more chess games than Becker. Since it is not even a complete game, the difference between the two is very small and almost irrelevant.
Answer:
The amount of chamomile tea that has to be used in order to obtain a mixture that costs $14.32 per pound is 8.997 pounds
Step-by-step explanation:
In order to find out the amount of chamomile tea that must be used in the mixture to obtain a 14.32 $ per pound, we can use an weighted average where the price points for each kind of tea are the weights and "c" is the amount of chamomile that we have to use in order to obtain the price per pound that we want. So we have:
(18.5*c + 12.23*18)/(c + 18) = 14.32
18.5*c + 220.14 = 14.32*(c+18)
18.5*c + 220.14 = 14.32*c + 257.76
18.5*c - 14.32*c = 257.75 - 220.14
4.18*c = 37.61
c = 8.997 lb
Answer:
2nd Account has $19,000
1st Account has $42,000
Step-by-step explanation:
First let's split the money invested.
x is money in account 1
y is money in account 2
1st equation
<u>$61,000=x+y</u>
5%=0.05
7%=0.07
2nd equation
<u>0.05*x+0.07*y=$3,430</u>
x=61,000-y
substitute into 2nd equation
0.05(61,000-y)+0.07y=3430
Solve.
3050-0.05y+0.07y=3430
0.02y=3430-3050
0.02y=380
y=380/0.02
y=$19,000
There are 2(two) ways to solve for the 1st account, but I will do it the long way.
y=61,000-x
substitute into 2nd equation
0.07(61,000-x)+0.05x=3430
Solve.
4270-0.07x+0.05x=3430
-0.02x=3430-4270
-0.02x=-840
x=-840/-0.02
x=$42,000
The short way...
x=61,000-y
x=61,000-19,000
x=$42,000
Solution :
Let us consider the squares be ![$[1, 16] \times [16, 32]$](https://tex.z-dn.net/?f=%24%5B1%2C%2016%5D%20%5Ctimes%20%5B16%2C%2032%5D%24)
If x ranges from the 0 to 16 and the y ranges from 16 to 32, we see that the boundary of the region
which goes from the
.
And so it is easier to find the area of region where
. This is the triangle with points
as its vertices.
The area if the triangle is = 
= 
Now the entire area is
= 256
Then, 
or 
Thus the answer is 