Answer:
9 a (5 x^2 + 3 x + 2)
Step-by-step explanation:
Simplify the following:
45 a x^2 + 27 a x + 18 a
Factor 9 a out of 45 a x^2 + 27 a x + 18 a:
Answer: 9 a (5 x^2 + 3 x + 2)
In the given question, we come to know that Sammy sold 5 bottles for every 3 water bottles sold by David. In this case we get the ratio as 5:3
Now this ratio indicates that the total number of bottles can be divided into 8 parts for finding out a single part. the total number of water bottles that are sold by Sammy and David together are 160.
Now on dividing this total number of bottles by 8 we get the 20 as one part.
The,
Number of Bottles sold by Sammy = 5 * 20
= 100
Number of bottles sold by David = 3 * 20
= 60
So Sammy sold 100 water bottles and David sold 60 water bottles from the total of 160 water bottles.
The missing coordinates of the parallelogram is (m + h, n).
Solution:
Diagonals of the parallelogram bisect each other.
Solve using mid-point formula:

Here 


<u>To find the missing coordinate:</u>
Let the missing coordinates by x and y.
Here 



Now equate the x-coordinate.

Multiply by 2 on both sides of the equation, we get
m + h = x
x = m + h
Now equate the y-coordinate.

Multiply by 2 on both sides of the equation, we get
n = y
y = n
Hence the missing coordinates of the parallelogram is (m + h, n).
Answer: D) 10
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Explanation:
I'm assuming points M and N are midpoints of segments FD and FE respectively. If that's the case, then segment DE is twice as long compared to segment MN. We consider MN to be a midsegment.
So,
DE = 2*(MN)
3x-2 = 2*(x+4)
3x-2 = 2x+8
3x-2x = 8+2
x = 10
The percent increase of the second year was 85.71%
Step-by-step explanation:
The exponential growth formula is y=a(1+r)^x
where;
y=population after x years
a=original population
r=growth rate as a decimal
x=number of time interval that have passed
Let starting population be p
The first year increase in the population was 40% this means;
r=0.4 , x=1 and a=p thus the equation will be
y=p(1+0.4)^1 ⇒⇒y=1.4 p
In the second year the population of birds of an island became 7 times more than before which is 7p
7p= 7*1.4p= 9.8p
Increase will be;
9.8p-1.4p=8.4
% increase will be;
8.4/9.8 *100 =85.71%
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Percent increase: brainly.com/question/13882170
Keywords : population, birds, island,increase
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