adam was play checkers with his friend. The ratio of the games they played was 9:1. If adam won 45 games, how many games did his friend win
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Assuming Adam won the 45 games.
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Which of the following is an example of direct variation?A) y= x - 2B) y= 2(x + 5)C) x - 3y = 0D) x= y + 3
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Answer:
Vanessa's total pay last week was $482.50.
Step-by-step explanation:
Given:
Vanessa earns a base salary of $400.00.
And every week with an additional 5 percent commission on everything she sells.
Vanessa sold $1650.00 worth of items last week.
Now, to find Vanessa's total pay last week.
Base salary = $400.00.
And then, to get the 5% commission on $1650.00.
The commission = $82.50.
Now, to get the total pay of Vanessa's we add the base salary and the commission:
Therefore, Vanessa's total pay last week was $482.50.
n^3 = n + 3n(n - 1) + 6 C(n, 3) by counting the number of ordered triples (a,b,c), where 1 <= a, b, c <= n, in two different ways.
(b) Prove that
C(n + 2, 3) = (1)(n) + (2)(n - 1) + (3)(n - 2) + . . . + (k)(n - k + 1) + . . . + (n)(1), by counting the number of subsets of {1, 2, 3, . . ., n + 2} containing three different numbers in two different ways.
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Answer:
Description of the given points can be defined as follows:
In points A, If b is less than a and c. so, it calls the smiley face (a, b , c), so we'll have a smiling smile whenever we create a chart! And if b is bigger then a and c, then it should be an angry face, although when we switch the head inside out, t get a grumpy face.
In point b, the smirks, which including a greater than b and c, then it is the neutral faces like a is equal to and b equal to c , it can also be seen in certain forms of faces. When the facial is positive, therefore b and b is similar to c. because when we pick a, b and c, but there's a choice of n are neutral.
Its quantity of scowls has been counted. There are many n options to choose a or n-1 forms of picking b. Each value that we can choose for the could also have been the price of b or c. There is also multiplication by 3. Thus 3n(n-1) scowls were present.
A number of happy face faces we note now. There will be n options for such a then n – 1 options for b, but n – 2 options for c. There were the happy faces of n(n-1)(n-2) = 3C(n,3). There are many grumpy face faces of the configuration of 3C(n,3).
Thus, n^3 = n + 3n(n – 1)+ 6C(n,3) was its total amount of faces.
(b) We can select two groups of 2 categories one at two numbers to choose three numbers and the other with one group. Its total number of n+2 can be divided into two groups.
First, there are many two numbers with one group, then n number in another one. This makes up n + 2 number of all. C(2,2) = 1 represents selecting two digits from the two sets. There are many C(n,1) = n forms to select a single organization amount. Which offers us a first 1*n term.
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Answer:
34
Step-by-step explanation:
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26, 27, 28, 29, 30, 31, 32
Hope i helped. Have a nice day.
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Your friend could try to calmly talk to his parents and explain why he feels he shouldn't pursue a career as a doctor because he isn't good at science.
Also, he could show them the good grades he gets in English, History, and Geography and explain why he should pursue a different career that has to deal with those subjects that he is good at.
Prove to them that a different career would be a better option and maybe he could even get his teacher to vouch for him.