I think the answer is 17/4
Answer:

Step-by-step explanation:
we have

we know that



substitute the values in the expression above

Combine like terms

The side lengths of rectangle is 3 cm and 1.75 cm and 5.25 cm and 9 cm.
According to the statement
we have given that Rectangle A has side lengths of 6 cm and 3.5 cm
And The side lengths of rectangle B are proportional to the side lengths of rectangle A.
And we have to Find that the What could be the side lengths of rectangle B?
A 3 cm and 1.75 cm
B 5 cm and 2.5 cm
C 7 cm and 7 cm
D 12 cm and 5 cm
E 5.25 cm and 9 cm
Here we see that the side B are proportional to side length A of rectangle.
So,
Let say sides of rectangle B are a and b corresponding to sides 6 and 3.5 cm
=> a/6 = b/3.5
=> a/b = 6/3.5
=> a/b = 12/7
A 3 cm and 1.75 cm
3/1.75 = 12/7
Hence this is proportional
B 5 cm and 2.5 cm
5/2.5 = 2 ≠ 12/7
Not Proportional
C 7 cm and 7 cm
7/7 = 1 ≠ 12/7
Not Proportional
D 12 cm and 5 cm
12/5 ≠ 12/7
Not Proportional
E 5.25 cm and 9 cm
9/5.25 = 36/21 = 12/7
Hence this is proportional
So, 3 cm and 1.75 cm and 5.25 cm and 9 cm could be the side lengths of rectangle B.
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The equation can that can be used to find the distance of the flowerbed from the hive is d/15 + d/9 = 300
The flower bed is 1687.5ft away from the hive
<h3>How can the
work mathematical expression be calculated?</h3>
We can denote the distance of flower bed from hive as d
The time that the the bee stays at the flower bed would be =10
The away for the bee from the hive=15 mins
Then the Time that the bed will use to move to the flower bed and back to the hive can be calculated as:
15 -10=5 minutes
we can convert to seconds as
=(5*60)=300 seconds
To calculate the time we can use the equation:
Distance/speed
Time of fright=300seconds
Time for flying from hive to flowerbed= d/15ft/s
Time for flying from flower bed to Hive= d/9ft/s
The equation can that can be used to find the distance of the flowerbed from the hive is d/15 + d/9 = 300
(9d+15d)/135 =300
24d/135 =300
24d =40500
d=1687.5ft
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