Answer: 16 inches.
Step-by-step explanation:
given data:
length of string A = 80 centimeters.
length of string B = 64 centimeters.
step 1
we solve for the Highest common denominator between them.
highest common denominator = 16.
what this represents is that no string would be cut more than 16inches so they can all have equal lengths at the end of cutting.
Let, the length be l and breadth be b.
So, 2(l + b) = 26
Or, l + b = 13
Or, l = 13 - b
So, we may write like this,
Area = l * b
Or, l * b > 30
Or, l (13 - l) > 30
Or, 13l - l^2 > 30
Or, l^2 - 13l + 30 > 0
Or, l^2 - 3l - 10l + 30 > 0
Or, l(l - 3) - 10(l - 3) > 0
Or, (l - 3)(l - 7) > 0
Or, l - 7 > 0
Or, l > 7.
Now, putting the value of l,
We get, l * b > 30
Or, 7 * b > 30
Or, b > 30/7
➡️ Therefore, we get,
Length > 7
Breadth > 30/7
That's it..
The difference between both unit rates rounded off to the nearest tenth is: 0.4 meters per second
Step-by-step explanation:
We have to calculate his unit rate for both type of races
So,
<u>Unit rate for 400m race:</u>
Distance = 400m
Time = 43 sec
<u>Unit rate for 300m Race:</u>
Distance = 300m
Time = 31 sec
The difference between both unit rates is:
Hence,
The difference between both unit rates rounded off to the nearest tenth is: 0.4 meters per second
Keywords: Unit rate, Speed
Learn more about unit rate at:
#LearnwithBrainly
Subtract 60 on both sides to get -40.
You are left with 40x=-40
Divide both sides by 40 to leave x by itself.
You get x=-1.
7 Did occurred twice. So 7 is the mode.