Answer:
p^3 / q^12
Step-by-step explanation:
p^6 q^4
------------------
p^3 q^16
We know a^b / a^c = a^(b-c)
First with variable p
p^6 / p ^3 = p^(6-3) = p^3
Then with variable q
q^4 / q^16 = q^(4-16) = q^-12 and a^-b = 1/ a^b = 1 /q^12
p^3 * 1/ q^12
p^3 / q^12
The statement first, and the statement second are correct because the number of dimes is 34, and the number of quarters is 66
What is a linear equation?
It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
We have:
0.1x + 0.25y = 19.9 and
x + y = 100
Let x = number of dimes
y = number of quarters
After solving the above system of equations by substitution method.
![\rm \dfrac{398-5y}{2}+y=100](https://tex.z-dn.net/?f=%5Crm%20%5Cdfrac%7B398-5y%7D%7B2%7D%2By%3D100)
y = 66
![\rm x=\dfrac{398-5\cdot \:66}{2}](https://tex.z-dn.net/?f=%5Crm%20x%3D%5Cdfrac%7B398-5%5Ccdot%20%5C%3A66%7D%7B2%7D)
x = 34
Thus, the statement first, and the statement second are correct because the number of dimes is 34, and the number of quarters is 66
Learn more about the linear equation here:
brainly.com/question/11897796
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Answer:
From the first bag the probability is 5 out of 15 or 1/3 simplified
The second bags probability is 4 out of 9
All the bags combined the probability is 9 out of 24
Step-by-step explanation:
The probability should be set up by putting the blue marbles as the numerator and the sum of all the marbles combined for the denominator
With everything said all you have to do is figure out the two steps an you’re good to go
8p, -70, and 4 z are the terms and 4z and 8p are coefficient.
So the total number of students is 50, and you want to find 32/50. and that is equal to 64%