yes thats fab Step-by-step explanation:
The perimeter of a rectangle is 46 inches. If the width of the rectangle is 9 inches, what is the length?
A.
23 inches
B.
14 inches
C.
28 inches
D.
37 inches
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Step-by-step explanation:
Let's make the number we're finding to be 
. So, it says that it will be divided by 4 and then added by 12 if we want this in algebraic expression it will be 
. It's also telling us that that expression is the same thing as our number divided by 3 and subtracted by 5. If we want an expression out of it it well be 
. Since they are the same, we have the equation below.
All we have to do now is to find .
<h3>Answer:</h3>
Our number must be 
. I think
In order to solve this, we first need to know what the ratio of servings of pudding to cups of milk is. We can see that 8 servings of pudding requires 2 cups of milk, so the ratio is 8/2, which can be reduced to 4/1. This means that for every 4 servings of pudding, we will be adding 1 cup of milk. So all we need to do to find out how many cups would be needed for 64 servings of pudding, we simply need to divide by 4.
64 / 4 = 16
So for 64 servings of pudding, we will need 16 cups of milk. But that's not what the question wants to know, it wants to know how many gallons of milk it would need.
In order to find that out, we have to know how many cups there are in one gallon. There are 2 cups in one pint, there are 2 pints in a quart, and there are 4 quarts in a gallon, so we just have to multiply those numbers, and we get 4 * 2 * 2 = 8 * 2 = 16
There are 16 cups in one gallon, therefore, 64 servings of pudding will require 1 gallon of milk.
Hope that helped! =)
If you get 0 as the last value in the bottom row, then the binomial is a factor of the dividend.
Let's say the binomial is of the form (x-k) and it multiplies with some other polynomial q(x) to get p(x), so,
p(x) = (x-k)*q(x)
If you plug in x = k, then,
p(k) = (k-k)*q(k)
p(k) = 0
The input x = k leads to the output y = 0. Therefore, if (x-k) is a factor of p(x), then x = k is a root of p(x).
It turns out that the last value in the bottom row of a synthetic division table is the remainder after long division. By the remainder theorem, p(k) = r where r is the remainder after dividing p(x) by (x-k). If r = 0, then (x-k) is a factor, p(k) = 0, and x = k is a root.
