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.
<h2>To find </h2>
- The volume of smaller bottle.
<h2>Solution</h2>
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.
If y = 9x - 7, which of the following sets represents possible inputs and outputs of the
function, represented as ordered pairs?
{(7,9), (8, 10), (9, 11)}
{(0, -7), (1, 2), (-1, -16)}
{(1,9), (2,7), (3, 16)}
{(-7,0), (2, 1), (-16, -1)}
The answer is b {(0,-7), (1,2), (-1,-16)}