Part A - Tara cuts
pieces of
from
feet of rope.
Part B - The quotient means the amount of foot pieces so it is
foot pieces.
How can we find the foot pieces of
from
rope. ?
from part A
we solve the fraction
rope
And Tara needs to pieces of
foot
So we need to divide
![\frac{24/5}{2/5} \\=\frac{24}{5} *\frac{5}{2} \\=\frac{24}{2} \\=12](https://tex.z-dn.net/?f=%5Cfrac%7B24%2F5%7D%7B2%2F5%7D%20%5C%5C%3D%5Cfrac%7B24%7D%7B5%7D%20%2A%5Cfrac%7B5%7D%7B2%7D%20%5C%5C%3D%5Cfrac%7B24%7D%7B2%7D%20%5C%5C%3D12)
For part B
When we using the information from part A we decide that the quotient means the amount of foot pieces Tara can cut from the
feet of rope.
Learn more about the pieces of rope is here:
brainly.com/question/28048536
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The correct expansion of
is ![12x^3-4x^2+15x-5](https://tex.z-dn.net/?f=12x%5E3-4x%5E2%2B15x-5)
Step-by-step explanation:
We need to expand the expression:
![(3x-1)(4x^2+5)](https://tex.z-dn.net/?f=%283x-1%29%284x%5E2%2B5%29)
Solving the expression:
![(3x-1)(4x^2+5)](https://tex.z-dn.net/?f=%283x-1%29%284x%5E2%2B5%29)
![=3x(4x^2+5)-1(4x^2+5)\\=12x^3+15x-4x^2-5\\Rearranging:\\=12x^3-4x^2+15x-5](https://tex.z-dn.net/?f=%3D3x%284x%5E2%2B5%29-1%284x%5E2%2B5%29%5C%5C%3D12x%5E3%2B15x-4x%5E2-5%5C%5CRearranging%3A%5C%5C%3D12x%5E3-4x%5E2%2B15x-5)
So, the correct expansion of
is ![12x^3-4x^2+15x-5](https://tex.z-dn.net/?f=12x%5E3-4x%5E2%2B15x-5)
Keywords: Expansion of terms
Learn more about expansion of words:
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Answer : 169
Step-by-step explanation:
4(x+19) = 752
4x +76 = 752
4x = 752 - 76
x = 676/4
x=169
Hope this helps ;)
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Answer:
it will cost 34.25 to rent a bike for 6 hours