2 answers:
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Answer:
The smaller bottle holds 12.5 ml of perfume.
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<h2>Given</h2>- Two bottles of similar shape;
- Larger bottle has volume of 100 ml;
- The length of larger bottle is 10 cm;
- The length of smaller bottle is 5 cm.
- The volume of smaller bottle.
Find the scale factor, the ratio of corresponding dimensions:
We know the volume is the function of three dimensions, therefore the ratio of volumes is the cube of the scale factor:
Substitute the known values and find the volume of small bottle:
The smaller bottle holds 12.5 ml of perfume.
When we factor out something, we divide the factor by the equation. For example if we were to factor 3 out of 6, It will be 3(2). We got this answer by dividing 3 and 6. Using this concept:
![\frac{-1}{4}[( \frac{-1}{2} / \frac{-1}{4}) - ( \frac{5}{4} y / \frac{-1}{4})]](https://tex.z-dn.net/?f=%20%5Cfrac%7B-1%7D%7B4%7D%5B%28%20%5Cfrac%7B-1%7D%7B2%7D%20%2F%20%5Cfrac%7B-1%7D%7B4%7D%29%20-%20%28%20%5Cfrac%7B5%7D%7B4%7D%20y%20%2F%20%20%5Cfrac%7B-1%7D%7B4%7D%29%5D%20%20)
Simplifying:
Hope this helps!
Simplifying:
Hope this helps!
Answer:
The solution to the given system of equations is (-2,)
Therefore the values of x and y are x=-2 and
Step-by-step explanation:
Given equations can be written as
Solving equation(2) we get
x=-2
Substitute x=-2 in equation (1) we get
Therefore the values of x and y are x=-2 and
The solution to the given system of equations is (-2,)