Kyle spend 1/5 of his money on clothing. He had 120 remaining. What was the cost of the clothes Kyle bought
1 answer:
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 =
Now, putting up value in the equation to find the total amount of money.
We know, money remaining is 120
Taking LCD subtract the fraction.
⇒
⇒
⇒
Multiplying 5 both side
⇒
dividing 4 on both side.
∴
∴ x= 150
Kyle has total 150 money to spend.
Kyle spent of his total money on clothing.
⇒ cost of clothes kyle bought=
Hence, Kyle spent 30, which was the cost of clothes kyle bought.
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Answer:
The number of edge stones needed has a constant rate of change, but the number of stones for the center does not.
Step-by-step explanation:
The complete question is shown in the picture attached below.
Two functions E(x) and C(x) are given in the table along with some of the function values. We have to identify if any of these functions show constant rate of change or not.
By constant rate of change we mean that the slope is constant or in other words, a linear relationship is shown by the function. For a Linear function, the first differences of the function values are same.
By first differences we mean the difference between two consecutive output values. We can see that difference between consecutive input values is constant i.e. 1. If the difference between consecutive output values of any of the functions is same, then that function will be a Linear Function and, therefore, the rate of change for that function will be constant.
Lets analyze E(x) first. The output values are:
34, 52, 70 and 88
The difference between consecutive output values is:
18, 18 and 18
Since, this difference is constant, we can conclude that E(x) is a Linear function with a constant rate of change.
Now lets analyze C(x). The output values are:
62, 133, 260 and 435
The difference between consecutive output values is:
71, 127 and 175
Since, the differences are not constant, C(x) is not a Linear Function and , therefore, the rate of change of C(x) is not constant.
Conclusion:
The number of edge stones which is represented by E(x) has a constant rate of change, but the number of stones for center which is represented by C(x) does not have constant rate of change. This makes the first option our correct answer.
