Answer:
16.65 cups
Step-by-step explanation:
Step one:
height =12 cm, and
the base has a radius =5.5 cm
Volume of the cup = πr^2h
substitute we have
volume= 3.142*5.5^2*12
volume= 3.142*30.25*12
volume=1140.546cm^3
Step two:
volume of cooler= 18,997 cm^3
hence the number of cups to fill it is
=18,997/1140.546
=16.65 cups
Answer:
yes
Step-by-step explanation:
Answer:
Keisha =$25
Scott =$19
Ryan = $57
Step-by-step explanation:
Let the amount each have be represented by A, B and C
Keisha = A
Scott = B
Ryan = C
Keisha , Scott and Ryan have a total of $101.
That’s
A + B + C = $101
Keisha has $6 more than Scott
A = 6 + B
Ryan has 3 times Scott
C = 3B
Substitute 6+B for A and 3B for C in the first equation.
That’s
A + B + C = 101
6 + B + B + 3B = 101
6 + 5B = 101
Subtract 6 from both sides
6 - 6 + 5B = 101 - 6
5B = 95
Divide both sides by 5
B = 95/5
B = 19
Scott has $19
Recall Keisha has $6 more than Scott B.
That’s A = 6 + B
A = $6 + $19
A = $25
Keisha has $25
Also, Ryan C has 3 times what Scott B has .
That’s
C = 3 x B
C = 3 x 19
C = $57
Therefore, Keisha has $25, Scott has $19 and Ryan has $57
T = 15.70r
time cost (t) = the price of the bag of rice • the number of bags of rice
Option b: 
is the correct answer.
Explanation:
The expression is ![\log _{w}\left(\frac{\left(x^{2}-6\right)^{4}}{\sqrt[3]{x^{2}+8}}\right)](https://tex.z-dn.net/?f=%5Clog%20_%7Bw%7D%5Cleft%28%5Cfrac%7B%5Cleft%28x%5E%7B2%7D-6%5Cright%29%5E%7B4%7D%7D%7B%5Csqrt%5B3%5D%7Bx%5E%7B2%7D%2B8%7D%7D%5Cright%29)
Applying log rule, 
, we get,
![\log _{w}\left(\left(x^{2}-6\right)^{4}\right)-\log _{w}(\sqrt[3]{x^{2}+8})](https://tex.z-dn.net/?f=%5Clog%20_%7Bw%7D%5Cleft%28%5Cleft%28x%5E%7B2%7D-6%5Cright%29%5E%7B4%7D%5Cright%29-%5Clog%20_%7Bw%7D%28%5Csqrt%5B3%5D%7Bx%5E%7B2%7D%2B8%7D%29)
Again applying the log rule, 
, we get,
![4 \log _{w}\left(x^{2}-6\right)-\log _{w}(\sqrt[3]{x^{2}+8})](https://tex.z-dn.net/?f=4%20%5Clog%20_%7Bw%7D%5Cleft%28x%5E%7B2%7D-6%5Cright%29-%5Clog%20_%7Bw%7D%28%5Csqrt%5B3%5D%7Bx%5E%7B2%7D%2B8%7D%29)
The cube root can be written as,
Applying the log rule, , we have,
Thus, the expression which is equivalent to is
Hence, Option b is the correct answer.
