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zzz [600]
2 years ago
14

Evaluate the expression: 2/3-1/4+(-5/6)

Mathematics
1 answer:
Aliun [14]2 years ago
3 0

Answer:

\\  \frac{2}{3}  -  \frac{1}{4}  +  \frac{( - 5)}{6}

\\  =  \frac{2}{3}  -  \frac{1}{4}  -  \frac{5}{6}

\\  =  \frac{8 - 3 - 10}{12}

\\  =  \frac{8 - 13}{12}

\\  =  \frac{ - 5}{12}

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If I have 40 pieces of candy and I sell them all for $20 how much would each piece of candy be worth
Hatshy [7]

Answer:

2cents

Step-by-step explanation:

40/20=2

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3 years ago
Luke is 5 years younger than 3 times Sydney’s age, s. In this situation, what does 3s represent?
ddd [48]

Answer:

3 multiplied by sydneys age

Step-by-step explanation:

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Carl borrowed $7 for lunches during one week $8 for lunches during the next week. How much money did Carl borrow?
frez [133]

Answer:

Step-by-step explanation: quit

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3 years ago
How do the values in Pascal’s triangle connect to the coefficients?
damaskus [11]

Explanation:

Each row in Pascal's triangle is a listing of the values of nCk = n!/(k!(n-k)!) for some fixed n and k in the range 0 to n. nCk is <em>the number of combinations of n things taken k at a time</em>.

If you consider what happens when you multiply out the product (a +b)^n, you can see where the coefficients nCk come from. For example, consider the cube ...

  (a +b)^3 = (a +b)(a +b)(a +b)

The highest-degree "a" term will be a^3, the result of multiplying together the first terms of each of the binomials.

The term a^b will have a coefficient that reflects the sum of all the ways you can get a^b by multiplying different combinations of the terms. Here they are ...

  • (a +_)(a +_)(_ +b) = a·a·b = a^2b
  • (a +_)(_ +b)(a +_) = a·b·a = a^2b
  • (_ +b)(a +_)(a +_) = b·a·a = a^2b

Adding these three products together gives 3a^2b, the second term of the expansion.

For this cubic, the third term of the expansion is the sum of the ways you can get ab^2. It is essentially what is shown above, but with "a" and "b" swapped. Hence, there are 3 combinations, and the total is 3ab^2.

Of course, there is only one way to get b^3.

So the expansion of the cube (a+b)^3 is ...

  (a +b)^3 = a^3 + 3a^2b +3ab^2 +b^3 . . . . . with coefficients 1, 3, 3, 1 matching the 4th row of Pascal's triangle.

__

In short, the values in Pascal's triangle are the values of the number of combinations of n things taken k at a time. The coefficients of a binomial expansion are also the number of combinations of n things taken k at a time. Each term of the expansion of (a+b)^n is of the form (nCk)·a^(n-k)·b^k for k =0 to n.

6 0
3 years ago
The sum of three consecutive numbers is equal to 123. What are the numbers?
Zina [86]

Answer:

40, 41, 42

Step-by-step explanation:

x +x+1+x+2=123

3x+3=123

3x=123-3

3x=120

x=120:3

x=40(the first number

40+1=41 (the second number

40+2=42 (the third number

4 0
3 years ago
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