The surface area of the exhibit is 1,638 cubic inches.
Step-by-step explanation:
Step 1:
If three prisms are out on top of each other we get a shape as follows;
The length of the base 
inches,
The width of the base 
inches, and
The height of the exhibit 
inches.
To find the surface area of the total exhibit we consider there to be only one shape which the above dimension.
Step 2:
There are 6 faces to the exhibit.
The surface area of a rectangular prism is given by;
By substituting the values, we get
The surface area of the exhibit is 1,638 cubic inches.
Answer:27 pieces were sold at the original price.
63 pieces were sold at the new price
Step-by-step explanation:
Let x represent the number of pieces of pottery that was sold at the original price.
Let y represent the number of pieces of pottery that was sold at the new price.
They sold some of their pottery at the original price of $9.50 for each piece. This means that the amount that they got from selling x pieces of pottery at the original price would be 9.5x
They later decreased the price of each piece by $2. This means that the new price was 9.5 - 2 = $7.5
This means that the amount that they got from selling x pieces of pottery at the new price would be 7.5y
If they sold all 90 pieces and took in $729, then the equations are
x + y = 90
9.5x + 7.5y = 729 - - - - - - - - - -1
Substituting x = 90 - y into equation 1, it becomes
9.5(90 - y) + 7.5y = 729
855 - 9.5y + 7.5y = 729
- 9.5y + 7.5y = 729 - 855
- 2y = - 126
y = - 126/- 2 = 63
Substituting y = 63 into x = 90 - y, it becomes
x = 90 - 63 = 27
Answer:
Volume of the similar sphere be 64 :343 .
Option (D) is correct.
Step-by-step explanation:
Formula
As given
The volumes of two similar spheres given that the ratio of their radii is 4:7 .
Let us assume that the x be the scalar multiple of the radi .
Radius of first sphere = 4x
Radius of second sphere = 7x
Putting the values in the formula
Thus
Therefore the ratio of the volume of the similar sphere be 64 :343 .
Option (D) is correct .
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:
Step-by-step explanation:
I'm not 100% sure, as we don't do this at school here, but I think its :
1) 3 units right, 2 units down
2) (x, y) > (x-12, y+3)
3) (x, y) > (x+9, y-8)
