X - the number of questions he answered correctly
y - the number of questions he answered incorrectly
There were 40 questions on the test.

The correct answers were given 5 points each, the incorrect answers were given -2 points each. He made a score of 95.

Set 40-x and (-95/2)+(5/2)x equal to each other:

Johnny answered correctly
25 questions.
X represents John's age
Ben = x+5
John = x
x+2(x+5)=46
use the distributive property for 2(x+5)
x+2x+10=46
combine like terms
3x+10=46
subtract 10 from each side
3x=36
divide both sides by 3
x=12
John is 12 years old.
Answer:
A' (-2,3)
B' (-1,1)
C' (-4,0)
Step-by-step explanation:
Given coordinates:
A (3,0)
B (4,-2)
C (1,-3)
We want to find the location of the coordinates after a translation of <-5,3>
Explanation of translation
<-5,3>
Subtract 5 from the x value and add 3 to the y value
Applying translation
A (3,0) ---------> (3-5,0+3) ---------> (-2,3)
B (4,-2) ---------> (4-5,-2+3) ---------> (-1,1)
C (1,-3) ---------> (1-5,-3+3) ---------> (-4,0)
So the new coordinates would be
A' (-2,3)
B' (-1,1)
C' (-4,0)