<span>6 servings ... 1/2 cup of butter
8 servings .... x cup of butter
We would like to know what is the value of the x.
</span>6 * x = 8 * 1/2<span>
6 * x = 4 /6
x = 4/6
x = 2/3
Result: Nancy needs</span> 2/3 cup of butter for 8 servings.
Answer:
2.25 and 4.95
Step-by-step explanation:
x + y = 7.2
x - y = 2.7
x = 7.2 - y
x - y = 2.7
(7.2 - y) - y = 2.7
7.2 - 2y = 2.7
-2y = 2.7 - 7.2
-2y = -4.5
-2y/-2 = -4.5/-2
y = 2.25
x + y = 7.2
x + 2.25 = 7.2
x = 7.2 - 2.25
x = 4.95
Check: 4.95 and 2.25
x + y = 7.2
(4.95) + (2.25) = 7.2
7.2 = 7.2
x - y = 2.7
(4.95) - (2.25) = 2.7
2.7 = 2.7
Let 
be the unknown number. So, three times that number means 
, and the square of the number is 
We have to sum 528 and three times the number, so we have 
Then, we have to subtract this number from , so we have
The result is 120, so the equation is
This is a quadratic equation, i.e. an equation like 
. These equation can be solved - assuming they have a solution - with the following formula
If you plug the values from your equation, you have
So, the two solutions would be
But we know that x is positive, so we only accept the solution 
Answer:
x = 56
Step-by-step explanation:
To start, distribute the 1/3 onto the x and the 4 in the parenthesis. That leaves you with
1/3x + 4/3 = 20
We want the x value by itself so we're going to subtract the 4/3 from the left and the right side, leaving us with
1/3x + 4/3 = 20 - 4/3
1/3x = 18 & 2/3 (since we're dealing with fractions, I'm going to change the 18 & 2/3 into an improper fraction just to make the next step easier.)
1/3x = 56/3
The last step is to divide the 1/3 off of the x, so x is by itself. To divide a fraction by a fraction, just flip the fraction you're dividing with and multiply.
56/3 x 3/1 = 56 (56 x 3 is 168, and 3 x 1 is 3, so when you reduce 168/3, you get 56)
So, 56 is our answer, because after dividing off the 1/3, we're left with x = 56
