Answer:
Original number 26.
Step-by-step explanation:
xy - two-digit number
1) x + y = 8
2) Original two-digit number can be written as
10*x + y
3) If the digits interchanged yx,
then the new number can be written as
10*y + x
4) Double the original number is
2*(10*x + y)
5) New number is 10 more than double the original number
(10*y + x) - (2*(10*x + y)) = 10
6) Now we have the system of 2 equations:
x + y = 8
(10*y + x) - (2*(10*x + y)) = 10 -----> 10y + x - (20x + 2y) = 10 ---> 8y - 19x = 10
x = 8 - y
8y - 19(8 - y) = 10
8y - 152 +19y = 10
27y = 162
y = 6
x = 8 - y = 8 - 6 = 2
x = 2
So, x =2, y = 6.
Original number 26.
Check:
Original number 26.
New number 62.
Double of the original number = 2*26= 52.
New number is 10 more than double the original number :
62 - 52 = 10 True
Answer:
(3, -4)
Step-by-step explanation:
The correct equation is:
From the list of given points, we have to identify which point lies on the graph. This can be done by using the value of x-coordinates from the given points and see if they result in the corresponding y-coordinate:
For point (1, 4)
, This is not equal to 4, so it does not lie on the graph of given function.
For point (3, -4)
, The answer ans corresponding y-coordinate are the same. This means, (3, -4) point lies on the graph of given function.
Likewise, checking for 3rd and 4th point we find out that they do not lie on the graph.
So the correct answer is (3, -4)
Answer:
<h2>D</h2>
Step-by-step explanation:
If pair of ratios does form a true proportion then:
Answer:
8
Step-by-step explanation:
36/9=4
12-4=8
8 is your answer