No. We claim that

and use algebra to prove the statement.
Let

. Multiply this by ten to get

. Subtract the initial equation to give

and divide by

to see that

. Substituting into the original equation gives

, proving the desired statement.
Answer: 15 hours
Step-by-step explanation:
Total cost of TV = $252, Savings= $87. So, she will require, $252-$87 = $165 to buy TV.
Also, it's given that, she gets paid $11 per hour.
Therefore, she will require 165/11 hours = 15 hours to buy new Tv at the wage rate of $11/ hour.
Answer:

Step-by-step explanation:
Angle AGH and GHD are corresponding angles, meaning they are equal. So in order to find the equation that can be used to solve for x we need to equate both angles AGH and GHD to each other.

They did not ask us to solve for x but I did it in case, however we can see that the answer we got corresponds with

Answer:

Step-by-step explanation:
Here, we have to find the sum of 2 fractions:
1st fraction: 
2nd fraction: 
Considering the denominator of 1st fraction:

Using factorization method:
can be written as
.

Taking <em>5 common</em> from
and <em>y common</em> from
:

Now taking
common:

can be written as 
Now, calculating the sum:

Taking <em>LCM</em> and solving:

Hence, answer is
.
The estimate for the total population size is 1600.
Setting up a proportion for this, we know that 150 out of our 300 turtle sample is marked; this is the first ratio for the proportion. We also know that we marked 800 of our total population, which we will call x:
150/300 = 800/x
Cross multiply:
150*x = 300*800
150x = 240000
Divide both sides by 150:
150x/150 = 240000/150
x = 1600