
3 сантиметрді 5 және 3 сандарына кері пропорционал бөліктерге бөл. Жауабын миллиметрмен бер


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Ответ:
11,25 мм, 18,75мм
Осы дұрыс



To divide 3 centimeters into parts inversely proportional to the numbers 5 and 3, we can use the concept of inverse proportionality. Inverse proportionality means that as one quantity increases, the other decreases in such a way that their product remains constant.
Let's denote the parts we want to find as x (for the part proportional to 5) and y (for the part proportional to 3). According to the concept of inverse proportionality, we have:
5x = 3y
Since the total length is 3 centimeters, we also have:
x + y = 3
Now, we can solve these two equations simultaneously. From the first equation, we can express y in terms of x:
y = (5/3)x
Substituting this into the second equation gives:
x + (5/3)x = 3
Combining like terms, we get:
(8/3)x = 3
Solving for x gives:
x = (3 * 3) / (8/3) x = 9 / (8/3) x = 9 * (3/8) x = 27/8 x ≈ 3.375 centimeters
Now, we can find y using the first equation:
y = (5/3)x y = (5/3) * (27/8) y ≈ 5.625 centimeters
So, the parts are approximately 3.375 centimeters and 5.625 centimeters. To convert these to millimeters, we multiply by 10 (since there are 10 millimeters in a centimeter):
33.75 millimeters and 56.25 millimeters respectively.


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