Lets consider SAM's age is 'x' and Hank's age is 'y'
So as per given data Sam's age is 5/3 times of Hank's age
so x = 5/3 * y
3x = 5y --> equation 1
and also sum of their ages is 24
so, x + y = 24
we need to find Hank's age (y)
so x = 24 - y
Now replace x value in equation 1
3(24-y) = 5y
72-3y = 5y
72 = 3y+5y
8y= 72
y= 72/8
y = 9 years.
So the Hank's age is 9 years
.
Answer:
(4,0)
Step-by-step explanation:
The object is first at (0,0)
It is reflected across line x=-2, this means you draw the mirror line at x=-2 and count 2 equal units backwards to get the image.The image will be at ;
The image (-4,0) is then reflected on the y-axis
You know reflection on the y-axis, the y-coordinate remains the same but the x-coordinate is changed to its opposite sign.
Hence;
(- -4,0)= (4,0)
The image will move 8 units towards positive x-axis.This is the same as moving 4 units from the mirror line at (0,0) and land at (4,0)
I think it’s y=-1x+ -8 or could be written as y=-1x-8
Answer:
B, x + (2x + 5) = 29
Step-by-step explanation:
x, being Micahs age.
the 2, as twice the age.
5, the additional amount older.
Simplify 7(x-4)-3x+2x:
4x-26=3x-2-x
Subtract x from 3x:
4x-26=2x-2
Move all terms containing x to the left:
2x-26=-2
Move all terms not containing x to the right:
2x=24
Divide by 2 and simplify:
x=12