The difference between mixed numbers gives:
-5¹/₆ - (-8¹/₂) = 3¹/₃
So the correct option is the third one.
<h3 /><h3>How to get the difference between mixed numbers?</h3>
Here we want to compute the difference between two mixed numbers.
First, remember that we can rewrite those as:
-5¹/₆ = (-5 - 1/6)
-8¹/₂ = (-8 - 1/2)
Now, let's go to the difference:
-5¹/₆ - (-8¹/₂)
First you can see that there are two negative signs together, so it is equivalent to a positive sign:
-5¹/₆ - (-8¹/₂) = -5¹/₆ + 8¹/₂
Now we can replace the mixed numbers to get:
-5¹/₆ + 8¹/₂ = (-5 - 1/6) + (8 + 1/2) = (8 - 5) + (1/2 - 1/6) = (3 + 2/6) = 3 + 1/3
And that can be rewritten to:
3 + 1/3 = 3¹/₃
Which is completely simplified.
So we conclude that the correct option is the third one, counting from the top.
If you want to learn more about mixed numbers:
brainly.com/question/1746829
#SPJ1
Answer:
The y-intercept is 25000 . The intercept is the fixed cost of the doughnut selling company.
Step-by-step explanation:
In the question, it is given that the fixed cost is $25000 and the expense to produce each doughnut is $0.25.
It is required to find and identify the y intercept.
To do so, use the equation derived in previous part of the exercise to interpret the slope. Compare the equation with standard equation of the line.
Step 1 of 1
The total cost of the company is the sum of fixed cost and the expenses for the doughnut, C=0.25x+25000.
Compare the equation with general linear equation y=mx+c.
The y-intercept is 25000 .
The intercept is the fixed cost of the doughnut selling company.
The answer is 5/12 because 1/6 converts to 2/6 and 7/12-2/6 is equal to 5/12
Answer:
Step-by-step explanation:
A(3,-2) ; B(6,-2)
![AB=\sqrt{(6-3)^{2}+(-2-[-2])^{2}}\\\\ =\sqrt{3^{2}+(-2+2)^{2}}\\\\=\sqrt{9+0}=\sqrt{9}\\\\](https://tex.z-dn.net/?f=AB%3D%5Csqrt%7B%286-3%29%5E%7B2%7D%2B%28-2-%5B-2%5D%29%5E%7B2%7D%7D%5C%5C%5C%5C%20%3D%5Csqrt%7B3%5E%7B2%7D%2B%28-2%2B2%29%5E%7B2%7D%7D%5C%5C%5C%5C%3D%5Csqrt%7B9%2B0%7D%3D%5Csqrt%7B9%7D%5C%5C%5C%5C)
AB = 3 units
B(6,-2) ; C(6,5)
![BC=\sqrt{(6-6)^{2}+(5-[-2])^{2}} \\\\=\sqrt{0+(5+2)^{2}}\\\\=\sqrt{(7)^{2}}\\](https://tex.z-dn.net/?f=BC%3D%5Csqrt%7B%286-6%29%5E%7B2%7D%2B%285-%5B-2%5D%29%5E%7B2%7D%7D%20%5C%5C%5C%5C%3D%5Csqrt%7B0%2B%285%2B2%29%5E%7B2%7D%7D%5C%5C%5C%5C%3D%5Csqrt%7B%287%29%5E%7B2%7D%7D%5C%5C)
BC = 7 units
Area of rectangle = length * width
= AB * BC
= 3 * 7
= 21 square units
