You can express it as 24 / (8-2)
Answer:
{ 100, 125,150,175}
Step-by-step explanation:
The range is the output values
{ 100, 125,150,175}
1.x+16
2.x-8
3.12/x
these are the algebraic expressions
Answer: The answer is NO.
Step-by-step explanation: The given statement is -
If the graph of two equations are coincident lines, then that system of equations will have no solution.
We are to check whether the above statement is correct or not.
Any two equations having graphs as coincident lines are of the form -
![ax+by=c,\\\\dax+dby=dc,\\\\\textup{where}~~d\neq 1.](https://tex.z-dn.net/?f=ax%2Bby%3Dc%2C%5C%5C%5C%5Cdax%2Bdby%3Ddc%2C%5C%5C%5C%5C%5Ctextup%7Bwhere%7D~~d%5Cneq%201.)
If we take d = 1, then both the equations will be same.
Now, subtracting the second equation from first, we have
![a(1-d)x+b(1-d)y=c(1-d)\\\\\Rightarrow ax+by=c,~\textup{since}~d\neq 1,~\textup{so}~1-d\neq 0.](https://tex.z-dn.net/?f=a%281-d%29x%2Bb%281-d%29y%3Dc%281-d%29%5C%5C%5C%5C%5CRightarrow%20ax%2Bby%3Dc%2C~%5Ctextup%7Bsince%7D~d%5Cneq%201%2C~%5Ctextup%7Bso%7D~1-d%5Cneq%200.)
Again, we will get the first equation, which is linear in two unknown variables. So, the system will have infinite number of solutions, which consists of the points lying on the line.
For example, see the attached figure, the graphs of following two equations is drawn and they are coincident. Also, the result is again the same straight line which has infinite number of points on it. These points makes the solution for the following system.
![2x+5y=10,\\\\6x+15y=30.](https://tex.z-dn.net/?f=2x%2B5y%3D10%2C%5C%5C%5C%5C6x%2B15y%3D30.)
Thus, the given statement is not correct.
Answer:
30 is the cost of clothes Kyle bought.
Step-by-step explanation:
Given: Kyle spend 1/5 of his money on clothing.
Remaining money is 120.
Lets assume the total money Kyle had be "x".
∴ Money spent on clothes = ![\frac{1}{5}\times x= \frac{x}{5}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B5%7D%5Ctimes%20x%3D%20%5Cfrac%7Bx%7D%7B5%7D)
Now, putting up value in the equation to find the total amount of money.
We know, money remaining is 120
![x-\frac{x}{5} = 120](https://tex.z-dn.net/?f=x-%5Cfrac%7Bx%7D%7B5%7D%20%3D%20120)
Taking LCD subtract the fraction.
⇒ ![\frac{(x\times 5)- x\times 1}{5} = 120](https://tex.z-dn.net/?f=%5Cfrac%7B%28x%5Ctimes%205%29-%20x%5Ctimes%201%7D%7B5%7D%20%3D%20120)
⇒ ![\frac{5x-x}{5} = 120](https://tex.z-dn.net/?f=%5Cfrac%7B5x-x%7D%7B5%7D%20%3D%20120)
⇒![\frac{4x}{5} = 120](https://tex.z-dn.net/?f=%5Cfrac%7B4x%7D%7B5%7D%20%3D%20120)
Multiplying 5 both side
⇒![4x= 120\times 5](https://tex.z-dn.net/?f=4x%3D%20120%5Ctimes%205)
dividing 4 on both side.
∴![x= \frac{120\times 5}{4}](https://tex.z-dn.net/?f=x%3D%20%5Cfrac%7B120%5Ctimes%205%7D%7B4%7D)
∴ x= 150
Kyle has total 150 money to spend.
Kyle spent
of his total money on clothing.
⇒ cost of clothes kyle bought= ![\frac{1}{5} \times 150= 30](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B5%7D%20%5Ctimes%20150%3D%2030)
Hence, Kyle spent 30, which was the cost of clothes kyle bought.