Answer:
We applied distributive, associative and commutative properties to solve the calculus.
Step-by-step explanation:
3c+5(2+c)=<u>3c+5(2)</u>+5c (distributive property)
=3c+<u>5c+5(2) </u> (commutative property)
=<u>(3c+5c)</u>+5(2) (associative property)
=<u>(3+5)c</u>+5(2) (distributive property) by the shape of common factor extraction).
=8c+10 <u>3+5</u> is a simple add and <u>5.2</u> is a simple multiplication)
Answer and work in this picture:
Call x the number of days the Alabama facility operares and y the number of days the Texas facility operates
Number of barrels produced:
Facility Alabama Texas total
HIgh grade production: 500x 600y 15,000
Medium grade production 200x 400y 8,400
Equations
500x + 600y = 15,000
200x + 400y = 8400
Divide each equation by 100
5x + 6y = 150
2x + 4y = 84
Multiply first by 2 and second by 5 =>
10x + 12y = 300
10x + 20y = 420
Subtract the first from the second:
20y - 12y = 420 - 300
8y = 120
y = 120/8
y = 15
Replace y value on any of the equations:
2x + 4y = 84 => 2x = 84 - 8y =
2x = 84 - 4(15)
2x = 84 - 60
2x = 24
x = 24/x
x = 12
Answer: the Alabama facility must operate 12 days and the Texas facility must operate 15 days.
Answer:
5
Step-by-step explanation:
You solve the equation
Answer:
When a power is taken on both sides of an equation, the resulting solutions might not check in the original radical equation. These are called extraneous solutions. You must check solutions by substituting in the values into the original equation and verifying that it produces a true statement.