Simplifying
(2a + 5)(3a + -4) = 0
Reorder the terms:
(5 + 2a)(3a + -4) = 0
Reorder the terms:
(5 + 2a)(-4 + 3a) = 0
Multiply (5 + 2a) * (-4 + 3a)
(5(-4 + 3a) + 2a * (-4 + 3a)) = 0
((-4 * 5 + 3a * 5) + 2a * (-4 + 3a)) = 0
((-20 + 15a) + 2a * (-4 + 3a)) = 0
(-20 + 15a + (-4 * 2a + 3a * 2a)) = 0
(-20 + 15a + (-8a + 6a2)) = 0
Combine like terms: 15a + -8a = 7a
(-20 + 7a + 6a2) = 0
Solving
-20 + 7a + 6a2 = 0
Solving for variable 'a'.
Factor a trinomial.
(-5 + -2a)(4 + -3a) = 0
Subproblem 1
Set the factor '(-5 + -2a)' equal to zero and attempt to solve:
Simplifying
-5 + -2a = 0
Solving
-5 + -2a = 0
Move all terms containing a to the left, all other terms to the right.
Add '5' to each side of the equation.
-5 + 5 + -2a = 0 + 5
Combine like terms: -5 + 5 = 0
0 + -2a = 0 + 5
-2a = 0 + 5
Combine like terms: 0 + 5 = 5
-2a = 5
Divide each side by '-2'.
a = -2.5
Simplifying
a = -2.5
Subproblem 2
Set the factor '(4 + -3a)' equal to zero and attempt to solve:
Simplifying
4 + -3a = 0
Solving
4 + -3a = 0
Move all terms containing a to the left, all other terms to the right.
Add '-4' to each side of the equation.
4 + -4 + -3a = 0 + -4
Combine like terms: 4 + -4 = 0
0 + -3a = 0 + -4
-3a = 0 + -4
Combine like terms: 0 + -4 = -4
-3a = -4
Divide each side by '-3'.
a = 1.333333333
Simplifying
a = 1.333333333
Solution
a = {-2.5, 1.333333333}
Answer:
50%
Explanation:
From the question we have here
If adults would pay 20$
Out of a 100% students:
60% would pay 15
40% would pay 10
If regular price = 20$
We are required to find discount
Discount = (20 - 10)/20 x 100
Discount = 0.5 x 100
Discount = 50%
The museum should offer 50percent discount.
Answer:
The correct answer is letter "C": Profitable product lines may be dropped.
Explanation:
The decision of making a product in-house or relying on an outsourcing manufacturer is evaluated mainly by comparing the costs that handling a new production line carries. While outsourcing can save a company a great amount of money in <em>labor, equipment, materials, </em>and <em>knowledge</em>, quality control is not managed directly.
However, <em>a new line of components in-house implies incurring in most costs that could conflict the production of existing profitable product lines that could see their numbers reduce gradually until the product drops.</em>
Answer:
$8,800 favourable
Explanation:
The computation of direct material quantity variance is seen below;
= Standard price × ( Standard quantity - Actual quantity)
= $4 × [(2 gallons × 7,200 units) - 12,200 gallons)
= $4 (14,400 gallons - 12,200 gallons)
= $4 × 2,200 gallons
= $8,800 favorable
Therefore, the direct materials quantity variance for last month is $8,800 favourable
