The figure shown is a rectangle. If you draw a new rectangle in which the dimensions are doubled, what is the relationship betwe
en the PERIMETERS of the two rectangles?
A) The perimeter of the new rectangle is twice that of the original rectangle.
Eliminate
B) The perimeter of the new rectangle is one-half that of the original rectangle.
C) The perimeter of the new rectangle is four times that of the original rectangle.
D) The perimeter of the new rectangle is one-fourth that of the original rectangle.
A) The perimeter of the new rectangle is twice that of the original rectangle.
Eliminate
B) The perimeter of the new rectangle is one-half that of the original rectangle.
C) The perimeter of the new rectangle is four times that of the original rectangle.
D) The perimeter of the new rectangle is one-fourth that of the original rectangle.
1 answer:
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Answer:
The cost of each juice boxes is $ 2
The cost of each hot dogs is $ 1 .
Step-by-step explanation:
Given as :
The amount which Bill pays for 3 juice boxes and 2 hot dogs = $ 8
The amount which Sarah pays for 2 juice boxes and 1 hot dogs = $ 5
Let The cost of each juice boxes = $ j
And The cost of each hot dogs = $ h
Now, According to question
3 j + 2 h = 8 .........A
2 j + 1 h = 5 ..........B
Now, solving the equations
2 × ( 2 j + 1 h ) = 2 × 5
or, 4 j + 2 h = 10
I.e ( 4 j + 2 h ) - ( 3 j + 2 h ) = 10 - 8
Or, ( 4 j - 3 j ) + ( 2 j - 2 h ) = 2
Or, j + 0 = 2
∴ j = 2
So , The cost of each juice boxes = j = $ 2
Now, Put the value of j in Eq A
I.e 3 × 2 + 2 h = 8
Or, 6 + 2 h = 8
Or. 2 h = 8 - 6
or, 2 h = 2
∴ h = = 1
So, The cost of each hot dogs = h = $ 1
Hence The cost of each juice boxes is $ 2
And The cost of each hot dogs is $ 1 . Answer