Area = length x width
60 = (x+5) (x-2)
60 = x^2 + 3x -10
Subtract 60 from both sides:
x^2 +3x -70 = 0
Solve for x by finding 2 numbers when added together = 3 and when multiplied by each other = -70
x = -10 and 7
Since the sides have to be a positive number we need to use 7
The length = x+5 = 7+5 = 12 cm
The width = x-2 = 7-2 = 5 cm
The heat released or absorbed by a substance is calculated through the equation,
H = mcpdT
where H is teh heat,
m is the mass,
Cp is the specific heat, and
dT is the temperature difference
In this item, since both nails are identical, m and cp for both nails are equal such that the equation can be expressed as,
mcp(95 - x) = mcp(x - 15)
where x is the final temperature. Solving for the value of x from the equation derived above will give us a final answer of 55 degrees C.
Answer: 55°
Answer: 78,000 units
Step-by-step explanation:
Equivalent units of production for conversion costs = Units completed and transferred out + Equivalent unit of ending units
Units completed and transferred out = Units started - Ending units
= 90,000 - 20,000
= 70,000 units
Equivalent unit of ending units = 20,000 * 40%
= 8,000 units
Equivalent units of production for conversion costs = 70,000 + 8,000
= 78,000 units
Answer:
56 quizzes
Step-by-step explanation:
40 quizzes = 5 weeks
To find the unit rate of quizzes / week, we can divide both sides by 5
40/5 quizzes = 5/5 weeks
8 quizzes = 1 week
Multiply both sides by 7 to find the amount of quizzes in 7 weeks
8 * 7 quizzes = 1 * 7 weeks
56 quizzes = 7 weeks
