Answer:
y=-2
Step-by-step explanation:
The formula for inverse variation is
xy =k
if y=7 when x=-2, we can substitute these numbers in to find k
(-2)(7) =k
-14 =k
The equation becomes
xy = -14
Let x =7
7y = -14
Divide each side by 7
7y/7 = -14/7
y = -2
Answer: 28 %
Explanation:
The original cost of the television is 1420$. The discounted price is instead 1022.40$. In order to find the percentage taken off, we must calculate the difference between the original price and the final price, and then divide the result by the original price:
![\frac{1420 -1022.40}{1420}=0.28](https://tex.z-dn.net/?f=%5Cfrac%7B1420%20-1022.40%7D%7B1420%7D%3D0.28)
And to calculate the percentage, we simply multiply by 100:
![0.28 \cdot 100 =28 \%](https://tex.z-dn.net/?f=0.28%20%5Ccdot%20100%20%3D28%20%5C%25)
Answer:
4845 combinations
Step-by-step explanation:
Whenever there is a selection of some elements from a certain group, there are several ways to do so. There are different combinations from the group which can be selected. The concept of combination means that there are certain number of elements to be selected from the group and there is no importance given to the order of the selection. The total number of students are 20, and 4 out of them have to be selected. It can be clearly seen that the order of selection does not matter, therefore the formula to be used is:
Combinations = 20C4 = (20*19*18*17)/(4*3*2*1) = 4845.
So the correct answer is 4845 combinations!!!
Considering that the powers of 7 follow a pattern, it is found that the last two digits of
are 43.
<h3>What is the powers of 7 pattern?</h3>
The last two digits of a power of 7 will always follow the following pattern: {07, 49, 43, 01}, which means that, for
, we have to look at the remainder of the division by 4:
- If the remainder is of 1, the last two digits are 07.
- If the remainder is of 2, the last two digits are 49.
- If the remainder is of 3, the last two digits are 43.
- If the remainder is of 0, the last two digits are 01.
In this problem, we have that n = 1867, and the remainder of the division of 1867 by 4 is of 3, hence the last two digits of
are 43.
More can be learned about the powers of 7 pattern at brainly.com/question/10598663