Answer:
$0.27
Step-by-step explanation:
1/4 The ratio of meters of streamers to cost of streamers is 1 : 0.09
We want to know the ratio of centimeters of streamers to cost of
streamers.
2/4 We need to convert meters to centimeters.
There are 100 centimeters in 1 meter.
So, if 1 meter of streamers costs $0.09, then 100 centimeters of
streamers also cost $0.09.
3/4 The ratio centimeters of streamers to cost for 300 centimeters of
streamers.
Now, we can find an equivalent ratio to find the cost for 300
centimeters of streamers.
4/4 The streamers cost $0.27 per 300 centimeters.
<u>ANSWER: </u>
A sculpture of a giant cube contains 1000 cubes within it .Along side of each edge of a giant cube there are 10 small cubes.
<u>SOLUTION</u>:
Given that a giant cube has 1000 cubes in it.
Let , length of the giant cube be L
Length of each small cube be v
Then, volume of giant cube = 
Volume of small cube = 
According to the given problem, Volume of giant cube must be equal to 1000 small cubes volume.

Apply cube root on both sides
![\sqrt[3]{L^{3}}=\sqrt[3]{1000 \times v^{3}}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7BL%5E%7B3%7D%7D%3D%5Csqrt%5B3%5D%7B1000%20%5Ctimes%20v%5E%7B3%7D%7D)
![\sqrt[3]{L^{3}}=\sqrt[3]{(10 v)^{3}}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7BL%5E%7B3%7D%7D%3D%5Csqrt%5B3%5D%7B%2810%20v%29%5E%7B3%7D%7D)
![\sqrt[3]{L^{3}} = \sqrt[3]{(10 v)^{3}}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7BL%5E%7B3%7D%7D%20%3D%20%5Csqrt%5B3%5D%7B%2810%20v%29%5E%7B3%7D%7D)

From above equation we can say that along side of each edge of a giant cube there are 10 small cubes.
12 + 5k + 15 -24
------------------- = -----------------------
k + 3 k - 4
5k + 27 -24
------------ = ---------------
k + 3 k - 4
(k - 4)(5k + 27) = -24 (k + 3)
5k^2 - 20k + 27k -108 = - 24k - 72
5k^2 + 31k - 36 = 0
(5k + 36)(k - 1) = 0
5k + 36 = 0; k = -36/5 = -7.2
k - 1 = 0; k = 1
solutions
k = 1 and k = -7.2
The answer
is 85 gallons
in a day