How can a ratio's number can be changed without changing the ratio itself

Mathematics

1 answer:

eimsori [14]3 years ago

8 0

<h2>Answer:</h2>

The ratio is a fraction that tells us how many times longer a thing is compared to another thing. In mathematics, we express a ratio as the relationship between two numbers, namely $a \ and \ b$ , so the ratio can be written as:

$r=\frac{a}{b}$

If we can change this number without changing the ration we need to multiply both the numerator and the denominator by the same number. For instance, if we have the following ratio:

$r=\frac{2}{3}$

We can multiply both the numerator and denominator, say, by 7. Then:

$r=\frac{7\times 2}{7 \times 3}=\frac{14}{21}$

As you can see, the ratio's number has changed but without changing the ratio itself because:

$\frac{2}{3}=\frac{14}{21}$

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as a gift, you fill the calendar with packets of chocolate candy. Each packet has a volume of 2 cubic inches. Find the maximum n

qaws [65]

The picture of the calendar is shown in the attached image.

Now, first we will get the volume of the calendar itself, we can note the calendar has the shape of a triangular prism.
Volume of triangular prism = area of base * depth
The area of base = area of triangle = 1/2 * base * depth
Therefore:
Volume of prism = 1/2 * base * height * depth
where:
base = 4 in
height is he height of the base = 6 in
depth is the depth of the calendar = 8 in
Therefore:
Volume of calendar = 1/2 * 4 * 6 * 8 = 96 in^3

Now, we are given that the volume of each candy is 2 in^3, this means that:
number of candies to fill the calendar = volume of calendar / volume of candy
= 96/2
= 48 candies

Hope this helps :)