Given:
Cost of small candles = $4.00
Cost of large candles = $6.00
They have at most 50 candles, and want to make at least $100.
To find:
The system of linear inequalities represents the situation.
Solution:
Let x be the number of small candles and y be the number of large candles.
At most 50 candles means total candles must be less than or equal to 50.

Want to make at least $100. It means, the total sales must be greater than or equal to $100.

Therefore, the inequalities in the system of linear inequalities are
and
.
Answer:
4 19/30
Step-by-step explanation:
1 3/10 + 3 1/3 = 139/30 or 4.63333...
Simplyfiy 139/30 to 4 19/30
Jessica bought 2.25 yards more material than Derek. Hope this helped!
Answer:
x = 3 ± i 
Step-by-step explanation:
Given
x² - 6x + 12 = 0 ( subtract 12 from both sides )
x² - 6x = - 12
Using the method of completing the square
add ( half the coefficient of the x- term )² to both sides
x² + 2(- 3)x + 9 = - 12 + 9
(x - 3)² = - 3 ( take the square root of both sides )
x - 3 = ±
= ± i
( add 3 to both sides )
x = 3 ± i 
The reciprocal of 7/2 is 2/7