Question..
Combine like terms to create an equivalent expression.
½ −⅙q +⅚q - ⅓
Answer:
½ −⅙q +⅚q - ⅓ is equivalent to ⅔q + ⅙
Step-by-step explanation:
Given
½ −⅙q +⅚q - ⅓
Required
Equivalence
½ −⅙q +⅚q - ⅓
We start by collecting like terms.
⅚q - ⅙q + ½ - ⅓
Factorize
(⅚ - ⅙)q + ½ - ⅓
((5 - 1)/6)q + ½ - ⅓
(4/6)q + ½ - ⅓
Reduce 4/6 to lowest term
⅔q + ½ - ⅓
Evaluate fraction
⅔q + (3 - 2)/6
⅔q + ⅙
Hence, ½ −⅙q +⅚q - ⅓ is equivalent to ⅔q + ⅙
Answer:
x = 18
Step-by-step explanation:
Given
+ 1 =
+ 7 ( subtract 1 from both sides )
=
+ 6
Multiply through by 15 to clear the fractions
9x = 4x + 90 ( subtract 4x from both sides )
5x = 90 ( divide both sides by 5 )
x = 18
Answer: 1.
x |0|0.5|2
dy/dx |2|5 |undefined
2.
x |0 |0.5| 2
dy/dx |undefined|5 | 2
3.
x | 0 |0.5|2
dy/dx|undefined |4 |2
Step-by-step explanation:
The ordering-quantity that should be recommended will be 117 units.
<h3>How to calculate the order quantity?</h3>
The following can be deduced from the information given:
Demand = 679
Ordering cost = 7
Holding cost = 10%
Ordering quantity will be:
= ✓(2 × Demand × Ordering cost / Holding cost)
= ✓(2 × 679 × 7/0.1)
= ✓13580
= 116.53
= 117
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