The picture below shows six quarters and two pennies. If this was broken down into two separate groups, what would be the equiva
1 answer:
Using proportions, it is found that the equivalent ratio to six-seconds would be of 3 to 1.
<h3>What is a proportion?</h3>A proportion is a fraction of total amount, and the measures are related using a rule of three.
In this problem, six quarters are equivalent to two pennies. Dividing into two groups, there would be a penny in each group, and we want to find the amount of quarters.
The <em>rule of three</em> is:
2 pennies - 6 quarters
1 penny - x quarters
Applying cross multiplication:
The equivalent ratio to six-seconds would be of 3 to 1.
You can learn more about proportions at brainly.com/question/24372153
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Answer:
Step-by-step explanation:
Combine real terms and combine complex terms
1) 3 + 2i + 2 - 5i = 3 +2 + 2i - 5i
= 5 + (2-5)i
= 5 + (-3)i
= 5 - 3i
3) 2 - (1 - 2i) + (4 -5i ) - (1 - 3i) = 2 -1 + 2i + 4 - 5i - 1 + 3i
{- is distributed to (1 - 2i) & - is distributed to (1- 3i)}
= 2 - 1 + 4 + 1 + 2i - 5i + 3i
= 6 +0i = 6
5) 4 - 3i + 4 + 3i = 4 +4 -3i + 3i
= 8
7) (3 - 2i)² + (3 +2i) = 3² - 2*3*2i + (2i)² + 3 + 2i {(a - b)² = a² - 2ab +b²}
= 9 -12i + 4i² + 3 + 2i
= 9 - 12i + 4*(-1) + 3 + 2i {i² = -1}
= 9 +3 - 4 - 12i +2i
= 8 - 10i