Answer:
Explanation:Bismarck's celebrated foreign policy consisted of a complex set of agreements meant to keep all the other powers perpetually off balance. Austria, Italy, and Russia were embraced in German alliances, thus denying their support to French plans for revenge and containing their own rivalries with each other.
Answer:
20 members of the rappelling club are going on the trip
Explanation:
Total cost of the trip is $540.
If only one person goes, the cost is $540.
We can make the total number of people going x since we are not given.
Therefore, each member would pay (540/x)
We can also rep 7 with non members since the number is given as 7
Total people going= Members + non members.
Therefore, the cost per person is now (540/x+7).
Problem.
540/x -540/x +7 = 7
Multiply each with lowest common denominator.
When you expand, you get
540(x+7) - x(540)/x(x+7) =7
Simplify multiplication.
540x+3780-540x=7(x^2+7x)
Combine like terms
540x-540x+3780=7x^2+49x
3780=7x^2+49x
7x^2+49x-3780= 0
When we divide through by 7, we have
x^2+7x-540
Factorize, we have
(x^2+27x)-(20x-540)=0
x(x+27)-20(x+27)=0
(x-20)(x+27)=0
x is therefore 20 or -27
Since we know -27 cannot be a reasonable answer hence must be excluded.
The exact number of the people going on the trip is 20.
In the mid-1800s, Democrats believed that a policy of Manifest Destiny would boost the American economy and open up economic opportunities.
<h3>What was the
Manifest Destiny?</h3>
It meant the the idea that the United States is destined by God and its advocates to to expand its dominion and spread democracy and capitalism across the entire North American continent.
However, the Democrats believed that a policy of Manifest Destiny would boost the American economy and open up economic opportunities.
Therefore, the Option C is correct.
Read more about Manifest Destiny
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