The sweater prices have reduced by 80% due to the special.
Step-by-step explanation:
Step 1; Cost before reduction was $30. The cost after reduction was 6$. Cost reduced= cost before reduction - cost after reduction
Cost reduced= $30 - $6 = $24
Step 2; We must find how much of the cost was reduced from the initial cost i.e. how much $6 is to $30. To do this we must convert it into a percentage. We divide the $6 with the $30 to get a value. This value must be multiplied with a 100 to be converted into a percentage.
Cost by which sweater was reduced= 24/30 * 100 = 0.8 * 100 = 80%.
So the price of the sweater was reduced from $30 to $6 which means there was a reduction of 80%.
Answer: Its also okay for drinking after boiled
Step-by-step explanation:
According to the Department of Food Science in Cornell University, pasteurised or boiled milk has a longer shelf life than raw milk, contrary to the myth that boiling milk will not reduce its lactose content.
So, the area of a rectangle is <span>LxW. </span>For this rectangle, <span>LxW=320. </span>We also know that the length is 4 feet longer than the width, that is L=W+4. With some substitution, we get<span>(W+4)W=320. </span>Simplify to get <span>W^2+4w=320. </span>Now the fun part! When we complete the square, we'll end up with (W+___)^2, right? So, let's take half of 4, which is 2, and square it. That's 4. Add that 4 to what we already have:W^2+4W+4. But remember, what we do to one side of an equation we must do to the other side. So we really have <span>W^2+4W+4=320+4.</span>We simplify and get <span>W^2+4W+4=324. </span>Factor the left side of the equation and get<span>(W+2)^2=324. </span>When we take the square root of both sides of the equation we getW+2=18, so W=16, which means the length (4 ft longer) is 20 ft. Do you have questions about the completing the square part? In a trinomial, the coefficient in the x term is the sum of the two factors and the constant term is the product. So, in the completing the square, you have the sum of a number added to itself or 2 times that factor. That's why we take half of it. Then, we square it to get the constant term. Square completed. But don't forget to keep the balance in the equation by also adding the constant term to the other side.
Answer: 2s + 1
Explanation:
1) Given expression: 6s² - 7s- 5 = (3s - 5) ( )
2) The missing factor ( ) is such that when it is multiplied by (3s - 5) the product is 6s² - 7s- 5.
3) Since the first term of the first factor starts with 3s, the first term of the second factor shall be 2s (since they have to yield 6s²). Then, you can write:
6s² - 7s- 5 = (3s - 5) (2s + )
4) The second term of the missing factor is positive because the product (+)(-) = (-) which is the sign of the third term of the polynomial.
5) The second term is such that when multiplied by - 5 is equal to the last term of the polynomial (also - 5), so this second terms is +1.
And you get: 6s² - 7s- 5 = (3s - 5) (2s + 1)
6) You can expand, using distributive property to confirm the result:
(3s - 5) (2s + 1 ) = (3s)(2s) + (3s)(1) - (5)(2s) -(5)(1) = 6s² - 7s- 5, which confirms the result.
2 * 4 = 8
8 < 11 is true
2 * 5 = 10
10 < 11 is true
2 * 5.3 = 10.6
10.6 < 11 is true
2 * 5.7 = 11.4
11.4 < 11 is NOT true.
x = 5.7 is not a solution.
