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:
Step-by-step explanation:
Given
x² - 3x
To make the expression a perfect square
add ( half the coefficient of the x- term )²
x² + 2( - 
)x + , thus
x² - 3x +
= (x - )² ← a perfect square
Answer:
3,537,438 square miles of total land area in the U.S.
Step-by-step explanation:
3,483,511 + 53,927 = U.S.
3,537,438 square miles of total land area in the U.S.
Answer:
The picture isn't showing up.
Step-by-step explanation:
Repost the picture to obtain help.
Answer:
z=-25.4
Step-by-step explanation:
Add 11.5 to both sides of the equation, then simplify. Multiply all terms by the same value to eliminate fraction denominators
