The volume of rectangular prism is the product of its length, width and height.
So the volume V of prism with length
![1 \frac{1}{4}](https://tex.z-dn.net/?f=1%20%5Cfrac%7B1%7D%7B4%7D%20)
yards, width
![2 \frac{1}{2}](https://tex.z-dn.net/?f=2%20%5Cfrac%7B1%7D%7B2%7D%20)
yards and height of 4 yards will be:
![V=1 \frac{1}{4} * 2 \frac{1}{2} *4 \\ \\ V= \frac{5}{4}* \frac{5}{2}*4 \\ \\ V= \frac{25}{2} \\ \\ V=12 \frac{1}{2}](https://tex.z-dn.net/?f=V%3D1%20%5Cfrac%7B1%7D%7B4%7D%20%2A%202%20%5Cfrac%7B1%7D%7B2%7D%20%2A4%20%5C%5C%20%20%5C%5C%20%0AV%3D%20%20%5Cfrac%7B5%7D%7B4%7D%2A%20%5Cfrac%7B5%7D%7B2%7D%2A4%20%5C%5C%20%20%5C%5C%20%0AV%3D%20%5Cfrac%7B25%7D%7B2%7D%20%5C%5C%20%20%5C%5C%20%0AV%3D12%20%5Cfrac%7B1%7D%7B2%7D%20%20%20%20)
Thus the volume of prism as a mixed number in simplest form will be
![12 \frac{1}{2}](https://tex.z-dn.net/?f=12%20%5Cfrac%7B1%7D%7B2%7D%20)
cubic yards
The value of the differential with respect to x is -xy/x²+ay
<h3>Implicit differentiation</h3>
Given the following function
x²y +ay² = b
We are to differentiate implicitly with respect to x
x²dy/dx + 2xy + 2aydy/dx = 0
(2x²+2ay)dy/dx = -2xy
dy/dx = -xy/x²+ay
Hence the value of the differential with respect to x is -xy/x²+ay
Learn more on implicit differentiation here: brainly.com/question/25081524
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So first you figure out what 25% of $40.00 is whitch would be $30.00. Then what i think you would do next is add 6% of the cost of the dress. 6% of $30.00 is $1.80. so $30.00 + $1.80 = $31.80 dollors for the dress.
(-5/3)•(-6/1)=(30/3)
(30/3) simplified is (10/1)
Answer:
750
Step-by-step explanation:
10 times 5 times 15