Answer:
Jose had 60 cards
Phillipe had 15 cards
Step-by-step explanation:
Let the number of trading cards Phillipe had be x. Jose had 4 times, meaning he has 4x of these cards.
Jose gave away 50 cards while Phillipe gave away 5 cards to make their numbers equal.
Mathematically:
4x - 50 = x - 5
3x = 45
x = 45/3 = 15
Phillipe had 15 cards while Jose had 15(4) = 60 cards
This is a sum and difference problem, with the equations
R-N=35
R+N=635
The solution of which is
R=(635+35)/2=335
N=(635-35)/2=300
In general, the sum and difference problem can be solved (most of the time mentally) using
Larger number = (sum + difference)/2
Smaller number = (sum - difference)/2
Answer:
x=5
y=4
Step-by-step explanation:
The sides with the 2 bars are equal so
7x-4 = 31
Add 4 to each side
7x-4+4 = 31+4
7x = 35
Divide each side by 7
7x/7 = 35/7
x =5
The sides with 3 bars are equal
4y+8 = 24
Subtract 8 from each side
4y+8-8 = 24-8
4y = 16
Divide by 4
4y/4 = 16/4
y =4
First of all, look at the figure, The ABC orientation is changed from clockwise to counterclockwise, so an odd number of reflections are involved.
Second, look at the answer choices. Right away, you notice that the last choice (E) involves two reflections. That cannot be the transformation you see. Since that is what the question is asking for, the appropriate choice for the transformation NOT done is ...
... E. reflection across the x-axis followed by a reflection across the y-axis
_____
I have to admit, I went through each of the choices to see if it would work to produce the image you see. All choices except E will do that. All that work turned out to be unnecessary.
