Answer:
D. 7n = 28
Step-by-step explanation:
Let's substitute 4 for n in each equation to check if it the resulting equation is correct:




Therefore the answer is D
Answer:
12.5 litres of Blue paint
Step-by-step explanation:
2+7+1=10
therefore;
10=64
2=??
cross-multiply
(2×64)÷10
answer= 12.4 liters or 12.5
Answer:
216 cubic meters
Step-by-step explanation:
Yes the trip is worthwhile. If you save $50, but it takes you $10 in gas o get theready & $10 in gas to get back you still have $30 saved.
(√3 - <em>i </em>) / (√3 + <em>i</em> ) × (√3 - <em>i</em> ) / (√3 - <em>i</em> ) = (√3 - <em>i</em> )² / ((√3)² - <em>i</em> ²)
… = ((√3)² - 2√3 <em>i</em> + <em>i</em> ²) / (3 - <em>i</em> ²)
… = (3 - 2√3 <em>i</em> - 1) / (3 - (-1))
… = (2 - 2√3 <em>i</em> ) / 4
… = 1/2 - √3/2 <em>i</em>
… = √((1/2)² + (-√3/2)²) exp(<em>i</em> arctan((-√3/2)/(1/2))
… = exp(<em>i</em> arctan(-√3))
… = exp(-<em>i</em> arctan(√3))
… = exp(-<em>iπ</em>/3)
By DeMoivre's theorem,
[(√3 - <em>i </em>) / (√3 + <em>i</em> )]⁶ = exp(-6<em>iπ</em>/3) = exp(-2<em>iπ</em>) = 1