Answer:
The length is 11ft.
The width is 8ft.
Step-by-step explanation:
Hello!
Perimeter of a rectangle: 
- P = perimeter
- l = length
- w = width
We know that the length is 5 ft less than twice the width, which can be expressed by the equation: l = 2w - 5. We can plug in 38 for "P".
We can substitute the equation for l, and solve for the width.
<h3>Solve for W</h3>
The width is 8. We can solve for the length by plugging it back into the equation l = 2w - 5
<h3>Solve for L</h3>
- l = 2w - 5
- l = 2(8) - 5
- l = 16 - 5
- l = 11
The length is 11.
The dimensions are 11 ft and 8 ft.
Simplifying
5n + 3 = 2(n + 2) + 3n
Reorder the terms:
3 + 5n = 2(n + 2) + 3n
Reorder the terms:
3 + 5n = 2(2 + n) + 3n
3 + 5n = (2 * 2 + n * 2) + 3n
3 + 5n = (4 + 2n) + 3n
Combine like terms: 2n + 3n = 5n
3 + 5n = 4 + 5n
Add '-5n' to each side of the equation.
3 + 5n + -5n = 4 + 5n + -5n
Combine like terms: 5n + -5n = 0
3 + 0 = 4 + 5n + -5n
3 = 4 + 5n + -5n
Combine like terms: 5n + -5n = 0
3 = 4 + 0
3 = 4
Solving
3 = 4
The left and right sides are not equal, therefore there is no solution.
Answer:ndjsoalwjjdlq bc hxlansbdlmdnwb
Step-by-step explanation:
Answer: 1,376
Step-by-step explanation: All we need to do is take our explicit formula and plug in the information we need to know for the problem.
Explicit formula - 
We are trying to find the 77th term of this sequence so we first have
.
We know
is 8 because that's the first term in our arithmetic sequence.
The variable <em>n</em> represents the number of terms we're trying to solve for which is 77. So that will be 77 - 1 and then we are going to multiply that by our common difference which is 18.
So plugging into the formula, we have 
So now we can go ahead and simplify this
information and see what we get.
So simplifying inside parentheses first, we get 76 and we multiply that by 18 to get 1,368.
So therefore we have
which is 1,376.
Try combining the numbers with like terms, like 5x^2 and -11x^2. Then I will help you out.