This is basic alegbra, you set up a proportions equations with dozen of cookies over butter. 6/ 3/4 equals 3/x. You cross multiply, 6x equals 2 1/4. You divide 6 on both sides of the equation to isolate x, the variable. 2 1/4 divided by 6 equals 0.375. The answer is 0.375 cups of butter
Answer:
A rational number is any number that can be written as a ratio of two integers (hence the name!). In other words, a number is rational if we can write it as a fraction where the numerator and denominator are both integers. ... Irrational, then, just means all the numbers that aren't rational.
Step-by-step explanation:
A rational number is any number that can be written as a ratio of two integers (hence the name!). In other words, a number is rational if we can write it as a fraction where the numerator and denominator are both integers. ... Irrational, then, just means all the numbers that aren't rational.
Answer:
Dimensions are 20 X 44 feet
Step-by-step explanation:
First we need to build two equations:
For area X times Y = 880
For Perimeter 2x + 2y = 128
Now we need to solve one so we can substitute it into the other:
2x + 2y = 128 becomes
2x = 128 - 2y and then
x = 64 - y We will substitute this into the are equation
(64 - y)y = 880
64y -
= 880
-
factor out the negative
-(
Factor:
-(y - 20)(y - 44) = 0
y-20 = 0 and y - 44 = 0
y = 20 and y = 44
Plugging these in two both of our formulas works
20 X 44 = 880 for area
2(20) + 2 (44) = 128 for perimeter
Recall that, an absolute value expression is a piece-wise in effect, thus we'd check the single-sided limits,
<h2>Explanation:</h2><h2 />
Here we have to compute the dot product:

We know that:

So for any two vectors:

The dot product:

Therefore:
