<em>Question:</em>
<em>If one basket contains five bottles each weighing 7 1/4 and the other basket has six apples each weighing 6 1/2 ounces. Which basket is heavier and by how much
?</em>
Answer:
The basket of bottles weighs more than the basket of apples by
ounces
Step-by-step explanation:
Given
![Bottles = 5](https://tex.z-dn.net/?f=Bottles%20%3D%205)
![Weight(Bottle) = 7\frac{1}{4}](https://tex.z-dn.net/?f=Weight%28Bottle%29%20%3D%207%5Cfrac%7B1%7D%7B4%7D)
![Apples = 6](https://tex.z-dn.net/?f=Apples%20%3D%206)
![Weight(Apple) = 6\frac{1}{2}](https://tex.z-dn.net/?f=Weight%28Apple%29%20%3D%206%5Cfrac%7B1%7D%7B2%7D)
Required
Determine which basket is heavy
and by how much?
First, we need the total weight of each basket.
For the bottles' basket
![Total\ Weight = Weight * Bottles](https://tex.z-dn.net/?f=Total%5C%20Weight%20%3D%20Weight%20%2A%20Bottles)
![Total\ Weight = 7\frac{1}{4} * 5](https://tex.z-dn.net/?f=Total%5C%20Weight%20%3D%207%5Cfrac%7B1%7D%7B4%7D%20%2A%205)
![Total\ Weight = \frac{29}{4} * 5](https://tex.z-dn.net/?f=Total%5C%20Weight%20%3D%20%5Cfrac%7B29%7D%7B4%7D%20%2A%205)
![Total\ Weight = \frac{29 * 5}{4}](https://tex.z-dn.net/?f=Total%5C%20Weight%20%3D%20%5Cfrac%7B29%20%2A%205%7D%7B4%7D)
![Total\ Weight = \frac{145}{4}](https://tex.z-dn.net/?f=Total%5C%20Weight%20%3D%20%5Cfrac%7B145%7D%7B4%7D)
![Total\ Weight = 36\frac{1}{4}](https://tex.z-dn.net/?f=Total%5C%20Weight%20%3D%2036%5Cfrac%7B1%7D%7B4%7D)
For the bottles' basket
![Total\ Weight = Weight * Apples](https://tex.z-dn.net/?f=Total%5C%20Weight%20%3D%20Weight%20%2A%20Apples)
![Total\ Weight = 6\frac{1}{2} * 5](https://tex.z-dn.net/?f=Total%5C%20Weight%20%3D%206%5Cfrac%7B1%7D%7B2%7D%20%2A%205)
![Total\ Weight = \frac{13}{2} * 5](https://tex.z-dn.net/?f=Total%5C%20Weight%20%3D%20%5Cfrac%7B13%7D%7B2%7D%20%2A%205)
![Total\ Weight = \frac{13* 5}{2}](https://tex.z-dn.net/?f=Total%5C%20Weight%20%3D%20%5Cfrac%7B13%2A%205%7D%7B2%7D)
![Total\ Weight = \frac{65}{2}](https://tex.z-dn.net/?f=Total%5C%20Weight%20%3D%20%5Cfrac%7B65%7D%7B2%7D)
![Total\ Weight = 32\frac{1}{2}](https://tex.z-dn.net/?f=Total%5C%20Weight%20%3D%2032%5Cfrac%7B1%7D%7B2%7D)
By comparing both total weights, ![36\frac{1}{4} > 32\frac{1}{2}](https://tex.z-dn.net/?f=36%5Cfrac%7B1%7D%7B4%7D%20%3E%2032%5Cfrac%7B1%7D%7B2%7D)
Hence:
The basket of bottles weighs more than the basket of apples
Calculating the difference:
![Difference = 36\frac{1}{4} - 32\frac{1}{2}](https://tex.z-dn.net/?f=Difference%20%3D%2036%5Cfrac%7B1%7D%7B4%7D%20-%2032%5Cfrac%7B1%7D%7B2%7D)
![Difference = \frac{145}{4} - \frac{65}{2}](https://tex.z-dn.net/?f=Difference%20%3D%20%5Cfrac%7B145%7D%7B4%7D%20-%20%5Cfrac%7B65%7D%7B2%7D)
![Difference = \frac{145 - 130}{4}](https://tex.z-dn.net/?f=Difference%20%3D%20%5Cfrac%7B145%20-%20130%7D%7B4%7D)
![Difference = \frac{15}{4}](https://tex.z-dn.net/?f=Difference%20%3D%20%5Cfrac%7B15%7D%7B4%7D)
![Difference = 3\frac{3}{4}](https://tex.z-dn.net/?f=Difference%20%3D%203%5Cfrac%7B3%7D%7B4%7D)
Hence:
It weighs more by
ounces
Define your two QUESTIONS
Write your system of EQUATIONS
SOLVE the system of equations.
Find the SOLUTION to the question being asked.
Answer: The first queston you are just lining up the numbers
Step-by-step explanation:
Area of the shaded region = Area <span>of a square - Area of a circle
</span>
Side of a square = 2r
Area of a square = (2r)² = 4r²
Area of a circle = πr²
Area of the shaded region = 4r² - πr² = r²(4-π)
Answer:
for part b the vertex is (2, 13)
Step-by-step explanation:
no (ice)