Answer: 45b^4/32
Step-by-step explanation: First multiply the two fractions
15b^3y(3b)/8y x 4
Multiply 3 by 15
45b^3yb/8y x 4
Raise b to power of 1
45(b^1b^3)y/8y x 4
Use power rule to combine exponents
45b^1+3 y/8y x 4
Simplify
45b^4y/32y
Cancel common factor of y
45b^4/32
That slope appears to be 4/6 or 2/3.
The perpendicular slope will have the opposite sign and be the reciprocal.
The perpedicular slope is –3/2.
Answer:
80 pages
Step-by-step explanation:
Given:
Number of pages printed = 5493
Number of booklets made = 68
Let each booklet use 'x' pages.
So, pages used by 68 booklets is given by unitary method and is equal to:
![=68\times x\\=68x](https://tex.z-dn.net/?f=%3D68%5Ctimes%20x%5C%5C%3D68x)
Now, total number of pages are 5493.
Therefore, the pages used by the 68 booklets should be less than or equal to the total number of pages available. So,
![68x=5493\\\textrm{Dividing both sides by 68,we get:}\\x=\frac{5493}{68}=80.8\approx 80(\textrm{As number of pages can't be in decimal})](https://tex.z-dn.net/?f=68x%3D5493%5C%5C%5Ctextrm%7BDividing%20both%20sides%20by%2068%2Cwe%20get%3A%7D%5C%5Cx%3D%5Cfrac%7B5493%7D%7B68%7D%3D80.8%5Capprox%2080%28%5Ctextrm%7BAs%20number%20of%20pages%20can%27t%20be%20in%20decimal%7D%29)
Therefore, the number of pages in each booklet is 80.
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