Answer:
-13/4
Step-by-step explanation:
common denominator -
2*-7/2*2)+1/4=-14/4+1/4
= -13/4
Answer:
Based off of my calculations, I got 126
Step-by-step explanation:
The formula for area would be: A = L * W
So, when finding the width (W), you would need to divide the area (A) by the length (L).
Equation: W = A / L
Now you know the equation, all you need to do is plug in the numbers:
[84 divided by 2/3]
W = 84 / 2/3
After solving this, you would get: 126
So, W = 126.
To check if we got the correct answer, we could just multiply the length times the width:
126 * 2/3
Since this equation gives us 84 as the answer, 126 is the correct width.
Part A:
Given a square with sides 6 and x + 4. Also, given a rectangle with sides 2 and 3x + 4
The perimeter of the square is given by 4(x + 4) = 4x + 16
The area of the rectangle is given by 2(2) + 2(3x + 4) = 4 + 6x + 8 = 6x + 12
For the perimeters to be the same
4x + 16 = 6x + 12
4x - 6x = 12 - 16
-2x = -4
x = -4 / -2 = 2
The value of x that makes the <span>perimeters of the quadrilaterals the same is 2.
Part B:
The area of the square is given by

The area of the rectangle is given by 2(3x + 4) = 6x + 8
For the areas to be the same

Thus, there is no real value of x for which the area of the quadrilaterals will be the same.
</span>
Answer:


Step-by-step explanation:
It is given that the snack shop makes 3 mixes of nuts in the following proportions.
Mix I: 6 lbs peanuts, 2 lbs cashews, 2 lbs pecans.
Mix II: 5 lbs peanuts, 3 lbs cashews, 2 lbs pecans.
Mix III: 3 lbs peanuts, 4 lbs cashews, 3 lbs pecans.
they received an order for 25 of mix I, 18 of mix II, and 35 of mix III.
We need to find the matrices A & B for which AB gives the total number of lbs of each nut required to fill the order.
Mix I Mix II Mix III
peanuts 6 5 3
cashews 2 3 4
pecans 2 2 2


The product of both matrices is



Therefore matrix AB gives the total number of lbs of each nut required to fill the order.