Answer:
- Length = 43 inches
- Width = 12 inches
Step-by-step explanation:
Perimeter of a rectangle = 2 * ( L + W)
The length of a rectangle is 5 inches less than 4 times the width.
Assume the width is x. Length is:
4x - 5
Equation is therefore:
2 * (4x - 5 + x) = 110
4x - 5 + x = 110/2
5x - 5 = 55
5x = 55 + 5
x = 60/5
x = 12 inches
If width is 12 inches, then length is:
= 4x - 5
= 4 * 12 -5
= 43 inches
Hello :
1/(√6 -1) = (√6 +1)/(√6 -1)(√6 +1) = (√6 +1)/(√6)²-1² ) = (√6 +1)/5
You can only get 5 c chocolates if you have that many.
Answer:
x = 2, y = 1
Step-by-step explanation:
- 7x + 5y = 19
- -7x - 2y = -16
Use the elimination method to solve the system of equations. Add the terms from top to bottom. 7x and -7x cancel out.
0 + 3y = 3
Divide both sides by 3.
y = 1
Substitute 1 for y into the first equation.
7x + 5(1) = 19
7x + 5 = 19
Subtract 5 from both sides.
7x = 14
Divide both sides by 7.
x = 2
Simplifying
5(7x + -3) = 230
Reorder the terms:
5(-3 + 7x) = 230
(-3 * 5 + 7x * 5) = 230
(-15 + 35x) = 230
Solving
-15 + 35x = 230
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '15' to each side of the equation.
-15 + 15 + 35x = 230 + 15
Combine like terms: -15 + 15 = 0
0 + 35x = 230 + 15
35x = 230 + 15
Combine like terms: 230 + 15 = 245
35x = 245
Divide each side by '35'.
x = 7
Simplifying
x = 7
