The first step to solving this is to multiply both sides of the equation by 3
8 + 10y = 9y - 12
now move the variable to the left side and change its sign
8 + 10y - 9y = -12
move the constant to the right side and change its sign
10y - 9y = -12 - 8
collect the like terms for y
y = -12 - 8 (it equals 1 when you subtract 10 from 9 which is the same is simply saying "y")
calculate the difference on the other side of the equals sign
y = -20
this means that the correct answer to your question is -20.
let me know if you have any further questions
:)
For these models there are methods such as the perturbation method which can<span> be used to find an approximate analytical solution within a certain range. The </span>advantage<span> here over a </span>numerical<span> solution is that </span>you<span> end up with an equation (</span><span>instead of just a long list of numbers) which </span>you can<span> gain some insight from.</span>
Answer:
The answer is D
Hopes this helps
Step-by-step explanation:
Answer: 110
Step-by-step explanation:
We first need to find the maximum perimeter of the circular area rug that will fit in the rectangular space. We use the shortest side of the rectangle as the diameter of the rug.
A circle drawn inside a rectangle.
A rectangle has a length of 12 feet and a height of 7 feet. A circle is drawn inside in the center of the rectangle with a line labeled Diameter extending from the top most point of the circle to the bottom most point of the circle.
P=2πr=2π×72=21.9911 ft
We then multiply the perimeter of the rug by the cost per foot.
cost =21.9911×5=$109.9555
Rounded to the nearest whole number, the cost of the maximum circumference circular rug that can fit in the dining room is 110 dollars.
