Answer:
those are really simple you see how many times the smaller shape was muliplied to get the numbers to match up on the bigger shape then you muliply the same side of x (that you know a number for) by the number its multiplying by ti get x
first laptop: $700
second laptop: $400
third laptop: $200
B.
first laptop: $700
second laptop: $200
third laptop: $400
C.
first laptop: $650
second laptop: $250
third laptop: $400
D.
first laptop: $650
second laptop: $200
third laptop: $450
E.
There is not enough information to solve for the unknowns.
Option: A is the correct answer.
A.
first laptop: $700
second laptop: $400
third laptop: $200
Let the cost of first laptop be: x
Second laptop be: y
and cost of third laptop be: z
Now, it is given that:
Adam bought three laptops for his office at a total cost of $1,300.
This means that:
x+y+z=1300---------(1)
on doubling the price of the first laptop and tripling the price of the third laptop, the total cost increased to $2,400.
This means that:
2x+y+3z=2400-------(2)
He spent $100 more on first laptop than the combined price of the second and third laptops.
This means that:
x-(y+z)=100------------(3)
On using equation (1) we have:
y+z=1300-x
Keeping the value of y+z in equation (3) we get:
x-(1300-x)=100
x-1300+x=100
2x=100+1300
x=1400/2=700
Hence, price of first laptop is: $ 700.
Now on putting the value of x in equation (1) and (2) we get:
y+z=600 ⇒ y=600-z------(4)
and y+3z=1000 (from equation (2) )
⇒ 600-z+3z=1000
⇒ 600+2z=1000
⇒ 2z=1000-600
⇒ 2z=400
⇒ z=200
Hence, cost of third laptop is: $ 200
and cost of second laptop is: $ 400
( since on putting the value of z in equation (4) )
A.
first laptop: $700
second laptop: $400
third laptop: $200
The starting rectangle (on the left) is larger than the ending rectangle (on the right). This means the scale factor is some value between 0 and 1, not including 0 or 1 itself.
To find the scale factor, we divide corresponding sides. We divide the vertical side 1.5 of the figure on the right over its corresponding pair on the left.
So,
scale factor = (new)/(old) = 1.5/6 = 0.25
Since 0.25 = 1/4, this means that the rectangle on the right is 1/4th as small compared to the one on the right.