When comparing to thing with same rate, set up a proportion:
Inches/cost
13/.78=33/x
(13)(x)=(.78)(33) [cross multiplied]
13x=25.74 [simplified]
13/13x=25.74/13 [division property]
x=1.98
33 inches of wire will cost $1.98.
Answer:
9 units
Step-by-step explanation:
because if the y-axis is 5 and the x-axis is 9, the line is 9 units.
16. 5x^3 y^-5 • 4xy^3
20x^4y^-2
20x^4 • 1/y^2
=20x^4/y^2
17. -2b^3c • 4b^2c^2
= -8b^5c^3
18. a^3n^7 / an^4 (a^3 minus a = a^2 same as n^7 minus n^4 = n^3)
=a^2n^3
19. -yz^5 / y^2z^3
= -z^2/y
20. -7x^5y^5z^4 / 21x^7y^5z^2 (divide -7 to 21 and minus xyz)
= -z / 3x^2
21. 9a^7b^5x^5 / 18a^5b^9c^3
=a^2c^2 / 2b^4
22. (n^5)^4
n ^5 x 4
=n^20
23. (z^3)^6
z ^3 x 6
=z^18
Answer:
The probability is 
Step-by-step explanation:
From the question we are told that
The number of green marbles is 
The number of red marbles is 
The number of red marbles is 
Generally the total number of marbles is mathematically represented as
Generally total number of marbles that are not red is
=> 
=> 
The probability of the first ball not being red is mathematically represented as
=> 
The probability of the second ball not being red is mathematically represented as
=> 
(the subtraction is because the marbles where selected without replacement )
=> 
The probability that the first two balls is not red is mathematically represented as
=> 
=> 
The probability of the third ball being red is mathematically represented as
(the subtraction is because the marbles where selected without replacement )
=> 
Generally the probability of the first two marble not being red and the third marble being red is mathematically represented as
=>
Answer:
\[y < = 300\]
Step-by-step explanation:
Let x = number of out-of-state students at the college
Let y = number of in-state students at the college
As per the given problem, the constraints are as follows:
\[x < = 100\] --------- (1)
\[y = 3 * x\] --------- (2)
From the given equations (2), \[ x = y/3 \]
Substituting in (1):
\[y/3 < = 100\]
Or, \[y < = 300\] which is the constraint representing the incoming students.
