Answer:
1 5/32
Step-by-step explanation:
First, find common denominators. What you do to the denominator, you must do to the numerator.
First, multiply 4 to both the numerator and denominator of the second fraction:
(7/8)(4/4) = (7 * 4)/(8 * 4) = 28/32
Next, add across:
9/32 + 28/32 = 37/32
Simplify. Turn the improper fraction into a mixed fraction:
37/32 = (32 + 5)/32 = 1 5/32
1 5/32 is your answer.
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What you have here is a situation with two <em>similar triangles.
</em>The triangle in the lower left is similar to the triangle in the upper right - I've included an image with "cutouts" of those triangles so you can see the similarities. Similar triangles have a very important property: <em>the ratios of their corresponding sides are equivalent</em>. Here, we can set up a ratio between the sides of length 64 and x on the larger triangle, and the corresponding sides of length x and 36 on the smaller triangle. Setting the two equal to each other, we have

Multiplying both sides of the equation by 36 and x, we get

finally, we take the square root of both sides of the equation to find x:
Dilation with a scale factor 1/3. the original points are three times as big as the transformed points, so the transformation needed to reduce the size by three times smaller.
4x2=8 then multiply it by 3 to find how much the aquarium can hold which would be 24 of how much water