You buy the same number of brushes, rollers, and paint cans. Write an expression in simplest form that represents the total amount of money you spend forpainting supplies... Brush cost $3.99, Paint cost $21.79 and Paint roller cost $6.89
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If you buy ' N ' of each item, then you'll pay 3.99N for brushes,
21.79N for cans of paint, and 6.89N for rollers.
The question assures us that you bought the same number of
each item. So your total bill at the hardware store checkout is
3.99N + 21.79N + 6.89N
= N (3.99 + 21.79 + 6.89)
= 32.67 N .
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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.
Ox=-By-C
А
x=-By+C
Ox=By=0
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Answer:
Step-by-step explanation:
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(3 hours) / (8 friends) = 3/8 hour per friend
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x = 5
x = 1
x= -1
x = -5
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Answer:
-1
Step-by-step explanation:
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1 hour--------------------$11
x---------------------------$331
x=(1 hour x x$331) / $11=30.0909.... hours≈31 hours
She needs to work 31 hours.