There are 52 cards in a deck, 54 including the jokers
hence the answer for the question is 1 and 4
2x=18
X=9
2(9)=18
X is the number of glass pieces
Hey there :)
All these shapes are known as a rhombus.
The are formula of a rhombus is
1st ) The area is given = 48 in²
The diagonals are 1) 8 in and 8 in = 16 in , 2) x in and x in = 2x in
Apply the formula to find x

48 = 16x
Divide by 16 on either side to isolate x
3 = x Check:
Area =
=

= 48 in²
2nd ) Area is given = 48 ft²
The diagonals are 1) 4 + 4 = 8 ft , 2) x
Apply the formula to find x
48 =

48 = 4x
Divide by 4 on either side
12 = x Check:
Area =

=

= 48 ft²
3rd ) Given diagonals are 19 ft and 38 ft
Area =

=
= 361 ft²
Cups = c
Plates = p
6p + 5c = 23.80 ==> multiply by 6 ==> 36p + 30c = 142.80
7p + 6c = 28.00 ==> multiply by 5 ==> 35p + 30c = 140.00
Now use algebra to have the 30c be on one side and the rest on the other:
36p + 30c = 142.80 | -36p
30c = 142.80 - 36p
35p + 30c = 140.00 | -35p
30c = 140.00 - 35p
Now set them equal to each other about the 30c:
142.80 - 36p = 140.00 - 35p
Use algebra to solve for p:
142.80 - 36p = 140.00 - 35p | +36p
142.80 = 140.00 + p | - 140
2.80 = p
Go back to one of the "30c" equations and plug in the value for p:
30c = 140 - 35p
30c = 140 - 35(2.80)
30c = 140 - 98
30c = 42 | /30
c = 42/30
c = 1.4
Plates are $2.80
Cups are $1.40