Answer:
It will take her 13 hours
9514 1404 393
Answer:
a) w(4w-15)
b) w²
c) w(4w -15) = w²
d) w = 5
e) 5 by 5
Step-by-step explanation:
a) If w is the width, and the length is 15 less than 4 times the width, then the length is 4w-15. The area is the product of length and width.
A = w(4w -15)
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b) If w is the side length, the area of the square is (also) the product of length and width:
A = w²
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c) Equating the expressions for area, we have ...
w(4w -15) = w²
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d) we can subtract the right side to get ...
4w² -15w -w² = 0
3w(w -5) = 0
This has solutions w=0 and w=5. Only the positive solution is sensible in this problem.
The side length of the square is 5 units.
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e) The rectangle is 5 units wide, and 4(5)-15 = 5 units long.
The rectangle and square have the same width and the same area, so the rectangle must be a square.
Answer:

Step-by-step explanation:
We are asked to divide our given fraction:
.
We will simplify our division problem using rules of exponents.
Using product rule of exponents
we can write:


Substituting these values in our division problem we will get,

Using power rule of exponents
we will get,


Using quotient rule of exponent
we will get,


Using product rule of exponents
we will get,


Upon canceling out
we will get,

Using power rule of exponents
we will get,


Therefore, our resulting quotient will be
.
It is C
Step-by-step explanation:
Because if you take into consideration that pn is equal to 10 and mn is equal to 5 and nq is equal to 8 then you add all them up which gives you 23 then subtract 14, and you get 9
Hope this helped you
43,44,45,45,46,47. Hope I helped