Take this example (cause it's easy to explain)
10+5x=15x
To solve it we have to minus five on both side. We have to do this because we need to isolate the variable (in this case x) on the one side so we can divide and solve.
You would -5x (inverse from positive 5) from both sides on this because whatever you do to one side you have to do to the others to make it equal. In this case the answer would be x=1 (again cause it's easy lol.)
I hope this helps you!
Easier than it looks, all you have to do is first subtract 13 from 299. You should get 286. Then, you just divide this number by two to get 143. Finally, since it asks for ZENA'S average, you add the 13 back to 143 to get the final answer of the average number of pins Zena took down, which is 156!
304.25 - 149 = 155.25
Now, how many songs can you buy with $155.25?
155.25 ÷ 1.15 = 135
So, you'll be able to buy 135 songs with the remainder of your earnings.
And that answers your question! :)
Answer:
Step-by-step explanation:
Let w represent the width of the rectangle.
The length of a rectangle is 7 inches less than twice the width, w, of the rectangle. It means that the length is (2w - 7) inches
Part A
The function that gives the area as a function of the width is
A(w) = w(2w - 7)
Part B:
If the area of the rectangle is 60 square inches, it means that
w(2w - 7) = 60
2w² - 7w = 60
2w² - 7w - 60 = 0
2w² + 8w - 15w - 60 = 0
2w(w + 4) - 15(w + 4) = 0
2w - 15 = 0 or w + 4 = 0
w = 15/2 or w = - 4
Since w cannot be negative, then
w = 15/2 = 7.5 inches
Answer:
a) This integral can be evaluated using the basic integration rules. 
b) This integral can be evaluated using the basic integration rules. 
c) This integral can be evaluated using the basic integration rules. 
Step-by-step explanation:
a) 
In order to solve this problem, we can directly make use of the power rule of integration, which looks like this:
so in this case we would get:
b) 
In order to solve this problem we just need to use some algebra to simplify it. By using power rules, we get that:
So we can now use the power rule of integration:
c) The same applies to this problem:
and now we can use the power rule of integration:
