The given expression is
.
We need to simplify the given expression.
<h3>What is a rational number?</h3>
In mathematics, a rational number is a number that can be expressed as the quotient or fraction p/q of two integers, a numerator p and a non-zero denominator q.
Now group the rational numbers ![(\frac{-4}{5}\times \frac{15}{16} ) \times (\frac{3}{7}\times (\frac{-14}{9}))](https://tex.z-dn.net/?f=%28%5Cfrac%7B-4%7D%7B5%7D%5Ctimes%20%5Cfrac%7B15%7D%7B16%7D%20%29%20%5Ctimes%20%28%5Cfrac%7B3%7D%7B7%7D%5Ctimes%20%28%5Cfrac%7B-14%7D%7B9%7D%29%29)
![=(\frac{-4}{16}\times \frac{15}{5} ) \times (\frac{3}{9}\times (\frac{-14}{7}))](https://tex.z-dn.net/?f=%3D%28%5Cfrac%7B-4%7D%7B16%7D%5Ctimes%20%5Cfrac%7B15%7D%7B5%7D%20%29%20%5Ctimes%20%28%5Cfrac%7B3%7D%7B9%7D%5Ctimes%20%28%5Cfrac%7B-14%7D%7B7%7D%29%29)
![=(\frac{-1}{4}\times \frac{3}{1} ) \times (\frac{1}{3}\times (\frac{-2}{1}))](https://tex.z-dn.net/?f=%3D%28%5Cfrac%7B-1%7D%7B4%7D%5Ctimes%20%5Cfrac%7B3%7D%7B1%7D%20%29%20%5Ctimes%20%28%5Cfrac%7B1%7D%7B3%7D%5Ctimes%20%28%5Cfrac%7B-2%7D%7B1%7D%29%29)
![=(\frac{-3}{4} ) \times (\frac{-2}{3})=\frac{1}{2}](https://tex.z-dn.net/?f=%3D%28%5Cfrac%7B-3%7D%7B4%7D%20%29%20%5Ctimes%20%28%5Cfrac%7B-2%7D%7B3%7D%29%3D%5Cfrac%7B1%7D%7B2%7D)
Therefore, the simplified value of the given expression is
.
To learn more about the rational numbers visit:
brainly.com/question/17450097.
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3x+25=90
-25=-25
3x=65
x=26.6666666666666666666666
I hope this helps!
We know, Circumference = <span>π * Diameter
So, c = </span><span>π * 8
c = 8</span><span>π
In short, Your Answer would be Option C
Hope this helps!</span>
Answer:
-70 is the correct answer
Step-by-step explanation:
To add fractions, find the LCD and then combine
Answer:
432m^3
Step-by-step explanation:
The computation of the volume of the larger pyramid is shown below:
Let us assume the volume of the larger pyramid be x
Given that
The ratio of two pyramids is 25:36
We can say that
The Ratio of side = (The ratio of surface area)^
= ![\frac{5}{6}](https://tex.z-dn.net/?f=%5Cfrac%7B5%7D%7B6%7D)
Now
ratio of volume = (ratio of side)^3 =
= 125 : 216
Based on the above information, the calculation is as follows
![\frac{125}{216} = \frac{250}{x}](https://tex.z-dn.net/?f=%5Cfrac%7B125%7D%7B216%7D%20%3D%20%5Cfrac%7B250%7D%7Bx%7D)
So,
![x = \frac{250 \times 216}{125}](https://tex.z-dn.net/?f=x%20%3D%20%5Cfrac%7B250%20%5Ctimes%20216%7D%7B125%7D)
= 432m^3