Dana can type 90 words per minute.
Since, 1 minute =
hours
Therefore, number of words she can type = 
= 90×60
= 5400 words per hour
If she types
words in 'x' hours.
Number of words Dana types with the given speed in 'x' hours = Speed of typing × Time
= 
Therefore, 


hours
Therefore, Dana types
words in 48.15 hours.
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Answer:
b. 
a. ![\displaystyle [8x + 12y]^2 + [6x + 9y]^2 = [10x + 15y]^2](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5B8x%20%2B%2012y%5D%5E2%20%2B%20%5B6x%20%2B%209y%5D%5E2%20%3D%20%5B10x%20%2B%2015y%5D%5E2)
Step-by-step explanation:
b. 
a. ![\displaystyle [8x + 12y]^2 + [6x + 9y]^2 = [10x + 15y]^2](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5B8x%20%2B%2012y%5D%5E2%20%2B%20%5B6x%20%2B%209y%5D%5E2%20%3D%20%5B10x%20%2B%2015y%5D%5E2)
The two expressions are identical on each side of the equivalence symbol, therefore they are an identity.
I am joyous to assist you anytime.
Answer:14
Step-by-step explanation:
A nickel is 5 cents (20% of dollar)
and a quarter is 25 cents (25% of dollar)
We have given a pile of 42 coins worth of $4.90
Let x be the no nickels and
y be the no of quarter
therefore
x+y=42 -----1
+
=4.90 ---2
Solving
we get
x=14 & y=28
Therefore no of nickels is 14 & no of quarters is 28
3574 it’s the number of books each kids has
G(x) = 6x
<span>g(f(x)) </span>
<span>= 6((x^2) - 5) </span>
<span>= (6x^2) - 30
</span>
so its equal to
<span>(6x^2) - 30</span>