Answer:
It is larger by
times
Step-by-step explanation:
You use exponential division for this problem
first, divide 8 by 2
8/2 = 4
Then, look at 10^9 and 10^7
The bases of those numbers are the same, so you can just subtract the exponents since you're dividing.

Combine those two together to get:
4 * 10^2
<u>Answer</u>:
Therefore has one solution.
<u>explanation</u>:
Given equations:
6x + y = -7
-24x -7y = 25
Make y the subject:
6x + y = -7
y = -7 - 6x ..............equation 1
-24x -7y = 25
-7y = 25 + 24x
y = (25 + 24x)/-7 ..........equation 2
Solve them simultaneously:
(25 + 24x)/-7 = -7 - 6x
25 + 24x = -7 (-7 - 6x)
25 + 24x = 49 + 42x
42x - 24x = 25- 42
18x = -24
x = 
Then y is:
y = -7 - 6x
y = -7 - 6(
)
y = 1
Has one separate value of x and y: (
, 1 ); so it has one solution.
When one number will divide exactly into the other one then the other one will be the LCM. For example the LCM of 4 and 8 = 8 .
When they do not divide as above then the product of the numbers may be the LCM. For example the LCM of 3 and 4 = 3*4 = 12.
The product is not always the LCM. It might be a lower number . For example the LCM of 4 and 6 is not 24 but 12. ( 24 / 2).
Answer:
There were 210 downloads of the standard version.
Step-by-step explanation:
This question can be solved using a system of equations.
I am going to say that:
x is the number of downloads of the standard version.
y is the number of downloads of the high-quality version.
The size of the standard version is 2.6 megabytes (MB). The size of the high-quality version is 4.2 MB. The total size downloaded for the two versions was 4074 MB.
This means that:

Yesterday, the high-quality version was downloaded four times as often as the standard version.
This means that 
How many downloads of the standard version were there?
This is x.

Since 




There were 210 downloads of the standard version.
Answer:
- 1/4
- 3/5
Step-by-step explanation:
You find the part by expressing the ratio as a fraction, then simplifying.
1. 5/20 = (1·5)/(4·5) = (1/4)·(5/5) = 1/4
5 is 1/4 of 20.
__
2. 12/20 = (3·4)/(5·4) = (3/5)·(4/4) = 3/5
12 is 3/5 of 20.