Answer:50 cents. $5
Step-by-step explanation: each pound of sugar costs 50 cents. you can find that out by dividing the amount of sugar you have by the cost.
You must find the factors of each number...
9 = 1, 3, 3, 9
6 = 1, 2, 3, 6
Next, determine the common multiple...
9 = 1, 3, 3, 9
6 = 1, 2, 3, 6
Therefore, the most groups Lavinia can make without any glasses or mugs left to spare is 3.
Subtract 43 from both sides
-6p=-30
Divide both sides by -6
p=5
Final answer: p=5
Answer:
Step-by-step explanation:
Rewrite X^2+22x=31, leaving space after the "22x:"
X^2+22x = 31
The coefficient of x is 22. Take half of that, obtaining 11.
Square this result: 11^2 = 121.
Write in "+121 -121" after the x term:
X^2+22x + 121 - 121 = 31
Rewrite X^2+22x + 121 as
(x + 11)^2 -121 = 31
Add 121 to both sides:
(x + 11)^2 = 152
Take the square root of both sides:
x + 11 = ±√152 = ±2√38
Finally, x = -11 ±2√38.
This is "solution by completing the square"
70/2=35 (this is the quotient)
60-35=25
