(02.01)The ratio of X's to O's is 15 over 10. . Use the image below to determine another ratio for X's to O's:
1 answer:
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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.
So hmm notice the graph below
based on where the focus point is at, and the directrix, then, the parabola is opening upwards, meaning the squared variable is the "x"
now, keep in mind, the vertex is at coordinates h,k
the vertex itself is half-way between the focus and directrix
the directrix is at y=15/8 and the focus is at y=17/8
so, half-way will then be
well, so is 1/4 between the focus point and the directrix, half of that is 1/8
so, if you move from the focus point 1/8 down, you'll get the y-coordinate for the vertex, or 1/8 up from the directrix, since the vertex is equidistant to either
what's the "p" distance? well, we just found it, is just 1/8
so, the x-coordinate is obviously -4, get the y-coordinate by 17/8 - 1/8 or 15/8 + 1/8
and plug your values (x-h)² = 4p(y-k) and then solve for "y", that's the equation of the quadratic
based on where the focus point is at, and the directrix, then, the parabola is opening upwards, meaning the squared variable is the "x"
now, keep in mind, the vertex is at coordinates h,k
the vertex itself is half-way between the focus and directrix
the directrix is at y=15/8 and the focus is at y=17/8
so, half-way will then be
well, so is 1/4 between the focus point and the directrix, half of that is 1/8
so, if you move from the focus point 1/8 down, you'll get the y-coordinate for the vertex, or 1/8 up from the directrix, since the vertex is equidistant to either
what's the "p" distance? well, we just found it, is just 1/8
so, the x-coordinate is obviously -4, get the y-coordinate by 17/8 - 1/8 or 15/8 + 1/8
and plug your values (x-h)² = 4p(y-k) and then solve for "y", that's the equation of the quadratic
1) Resultant fraction:
2) Total soil: pounds
3) Result of the product:
Step-by-step explanation:
1)
In this problem, we want to find the product between the two fractions
and
In order to find this product, we have to multiply the numerators of each fraction and the denominators of each fraction. We get:
Now we simplify, dividing both numerator and denominator by 2:
And the fraction cannot be further simplified.
2)
Here we have:
n = 5 (number of pots that Andy has)
(amount of soil (in pounds) that each pot can contain)
In order to find the amount of soil that Andy needs to fill all the pots, we have to multiply the number of pots (n) by the amount of soil that each pot can contain (s).
If we do so, we find:
Which can be rewritten as a mixed fraction as:
3)
Here we want to find the result of the following product:
In order to do so, we first have to rewrite each fraction as an improper fraction.
For the 1st fraction:
For the 2nd fraction:
Now we can finally find the product of the two fractions:
Where in the last step, we divide both the numerator and the denominator by 6.
Learn more about fractions:
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