7/8 = 0.875
8/9 = 0.888
answer : 7/8 < 8/9 (less then)
Thus, the values corresponding to the function and constraints will be:
Objective Function:
Constraints:
We begin by defining the variables. Let call:
X = of servings of dried apricots
Y= of servings of dried dates
For apricots, there are 3 servings in one pound. This means that the cost per serving is $9.99/3 = $3.33. The cost for X:
For dates, there are 4 servings per pound. This means that the cost per serving is $7.99/4=$2.00. The cost for Y:
The total cost would be:
Product must contain at least 4700mg of potassium
So now with the equations set it is possible to see that the desired values are between 9400 and 4700. Then using the critical points X=0, Y=0 for the two given equations. This will inform the points of interest for X and Y if this analysis is needed for the exercise.
Learn more: brainly.com/question/16173741
The answer to the question is 378bd
Answer:
Surface area: 250
Volume: 1375
Step-by-step explanation:
Scale factor: 4:5
This means that the dimensions of the larger figure are 5/4 of those in the smaller figure.
Surface area:
The surface area is found multiplying the square of the change(5/4) by the original surface area(160). So
![S = (\frac{5}{4})^2 \times 160 = \frac{25}{16} \times 160 = 25 \times 10 = 250](https://tex.z-dn.net/?f=S%20%3D%20%28%5Cfrac%7B5%7D%7B4%7D%29%5E2%20%5Ctimes%20160%20%3D%20%5Cfrac%7B25%7D%7B16%7D%20%5Ctimes%20160%20%3D%2025%20%5Ctimes%2010%20%3D%20250)
Volume:
The volume is found multiplying the cube of the change(5/4) by the original volume(704). So
![S = (\frac{5}{4})^3 \times 704 = \frac{125}{64} \times 704 = 125 \times 11 = 1375](https://tex.z-dn.net/?f=S%20%3D%20%28%5Cfrac%7B5%7D%7B4%7D%29%5E3%20%5Ctimes%20704%20%3D%20%5Cfrac%7B125%7D%7B64%7D%20%5Ctimes%20704%20%3D%20125%20%5Ctimes%2011%20%3D%201375)
The percentage of increase in area will be 300%
<em><u>Explanation</u></em>
By doubling each dimension, the area of a parallelogram increased from 36 square centimeters to 144 square centimeters.
So, the increased area = Final area - Initial area = (144 - 36)cm² = 108 cm²
Now, for finding the percentage of increase, first we need to <u>divide "the increased area" by the "initial area" and then multiply by 100% </u>
Thus, the percentage of increase in area
%