5^(x+7)=(1/625)^(2x-13)
We move all terms to the left:
5^(x+7)-((1/625)^(2x-13))=0
Domain of the equation: 625)^(2x-13))!=0
x∈R
We add all the numbers together, and all the variables
5^(x+7)-((+1/625)^(2x-13))=0
We multiply all the terms by the denominator
(5^(x+7))*625)^(2x+1-13))-((=0
We add all the numbers together, and all the variables
(5^(x+7))*625)^(2x-12))-((=0
We add all the numbers together, and all the variables
(5^(x+7))*625)^(2x=0
not sure if this is right :/
= 19 this is the answer I'm guessing since 16-12= 4 so 16 is 4 more than 12
Answer:
The width of the football field is 160 feet.
The length of the football field is 360 feet.
Step-by-step explanation:
Let w represent width of the football field.
We have been given that the length is 200 ft more than the width, so the length of the field would be .
We are also told that the perimeter is 1,040 ft. We know that football field is in form of rectangle, so perimeter of field would be 1 times the sum of length and width. We can represent this information in an equation as:
Let us solve for w.
Therefore, the width of the football field is 160 feet.
Upon substituting in expression , we will get length of field as:
Therefore, the length of the football field is 360 feet.
Answer: 1/6 of the movie.
Step-by-step explanation:
First, she watches 1/2 of the movie.
This means that if the movie lasts N minutes, the time left is:
N - (1/2)*N = (1/2)*N.
Then she watches another part of the movie, let's call it as a*N, and after that, she has 1/3 of the movie left, we can write this situation as:
(1/2)*N - a*N = (1/3)*N
we can divide by N in both sides to get
(1/2) - a = (1/3)
(1/2) - (1/3) = a
3/6 - 2/6 = a
1/6 = a
So we can conclude that she watched 1/6 of the movie at night.