Answer:
x = ⅔ hr
V = 4 km³
Step-by-step explanation:
The volume of the first cloud is given as:
V1 = 4^(3x - 1)
The volume of the second cloud is given as:
V2 = 8^x
When the two clouds have the same volume, V1 = V2:
=> 4^(3x - 1) = 8^x
We can rewrite this as:
2^[2(3x - 1)] = 2^[3(x)]
=> 2^(6x - 2) = 2^(3x)
According to the law of indices, we can equate the powers because their bases are equal (2 is the base).
=> 6x - 2 = 3x
6x - 3x = 2
3x = 2
x = ⅔ hr
Hence, after 2/3 hr, their volumes will be equal.
To find the volume after 2/3 hr, we can use the equation of either cloud but let us use the equation for the second cloud for simplicity sake:
V2 = 8^(⅔)
V2 = 4 km³ or 4 cubic kilometers
Number of green beans John should use is 30
<em><u>Solution:</u></em>
Given that ratio of pumpkin to green beans is 5 to 2
pumpkin : green beans = 5 : 2
Let "5a" be the number of canned pumpkins
Let "2a" be the number of canned green beans
John wants to use a total of 105 cans
number of canned pumpkins + number of canned green beans = 105
5a + 2a = 105
7a = 105
<h3>a = 15</h3>
number of canned green beans = 2a = 2(15) = 30
Thus number of green beans John should use is 30
Given:
The number is 3091.
To find:
The number of hundreds blocks if there are no thousands block.
Solution:
The given number is 3091.
It can be written as:
There are no thousands block. So,
Therefore, the number of hundreds blocks in 3091 is 30.
From what I can see with this picture, it seems like theyre asking for percentages of one number, to take a percentage of a number you convert the percent to a decimal, so 10% is equal to 10/100 = .10, so 200 * .10 = 20
Answer:
The answer is A
Step-by-step explanation: