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Whitepunk [10]
2 years ago
8

Se all of the expressions that are equivalent to 2k +2+k+3+ 2k.

Mathematics
1 answer:
mr Goodwill [35]2 years ago
8 0

Answer:

5k+5

Step-by-step explanation:

Combine Like Terms:

=2k+2+k+3+2k

=(2k+k+2k)+(2+3)

=5k+5

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The cost of an item is $75. What will the total cost be with 9% tax?
Morgarella [4.7K]

Answer:

81.75

Step-by-step explanation:

75*1.09 = 81.75

7 0
3 years ago
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Tim wants to boil rice on the stove. He needs to use exactly three gallons of water in a pot to boil the rice. Which method shou
Volgvan
B. is the answer because he can just refill the 1 gallon jug to eventually measure out 3 gallons!
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3 years ago
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There are 8 tennis players in a round robin tournament, which means each team will play every other team once. How many matches
Aliun [14]
<h3>Answer:  28</h3>

==========================================================

Explanation:

Method 1

Imagine a table with 8 rows and 8 columns to represent all possible match-ups. You can actually draw out this table or just think of it as a thought experiment.

There are 8*8 = 64 entries in the table. Along the northwest diagonal, we have each team pair up with itself. This is of course silly and impossible. We cross off this entire diagonal so we drop to 64-8 = 56 entries.

Then notice that the lower left corner is a mirror copy of the upper right corner. A match-up like AB is the same as BA. So we must divide by 2 to get 56/2 = 28 different matches.

----------------------------------

Method 2

There are 8 selections for the first slot, and 8-1 = 7 selections for the second slot. We have 8*7 = 56 permutations and 56/2 = 28 combinations.

----------------------------------

Method 3

Use the nCr combination formula with n = 8 and r = 2

n C r = \frac{n!}{r!(n-r)!}\\\\8 C 2 = \frac{8!}{2!*(8-2)!}\\\\8 C 2 = \frac{8!}{2!*6!}\\\\8 C 2 = \frac{8*7*6!}{2!*6!}\\\\ 8 C 2 = \frac{8*7}{2!}\\\\ 8 C 2 = \frac{8*7}{2*1}\\\\ 8 C 2 = \frac{56}{2}\\\\ 8 C 2 = 28\\\\

There are 28 combinations possible. Order doesn't matter (eg: match-up AB is the same as match-up BA).

Notice how the (8*7)/2 expression is part of the steps shown above in the nCr formula.

7 0
1 year ago
In a certain year, there were 88 female officials in Congress, which is comprised of the House of Representatives and the Senate
Ainat [17]

Answer:

  • 71 in House of Representatives
  • 17 in Senate

Step-by-step explanation:

Let h and s represent the numbers in the House and Senate, respectively. Then we have ...

  h + s = 88

  h - s = 54

Subtracting the second equation from the first gives ...

  (h +s) -(h -s) = (88) -(54)

  2s = 34 . . . . . simplify

  s = 17 . . . . . . . divide by 2

  h = 88 -17 = 71 . . . . find the other value using the sum equation

There were 71 females in the House of Representatives, and 17 females in the Senate.

3 0
2 years ago
The length of a rectangle is 5 in. more than 3 times its width. The quadratic function f(x) = x(3x + 5) represents the area of t
saveliy_v [14]
F(x)=x(3x+5)
or
f(x)=3x²+5x
Here the domain in general is: -∞<x<∞
But the length of the rectangle cannot be negative, therefore the domain is all real numbers greater than zero.

Option D is correct.


5 0
3 years ago
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