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Schach [20]
3 years ago
11

Classrooms on one side of the science building are all numbered with consecutive odd integers. If the first​ room, the room with

the smallest classroom​ number, on this side of the building is numbered k​, write an expression in k for the sum of the first five classroom numbers in a row. Then simplify this expression. The sum of the first five classroom numbers in a row is
Mathematics
1 answer:
liubo4ka [24]3 years ago
8 0

Answer:

The sum of the first five classroom numbers in a row is 5k + 20

Step-by-step explanation:

Since the smallest classroom​ number on the side of the building is numbered k​ and each consecutive odd integer is separated by a difference of  

2.

Therefore:  

k is the first class room.

k +  2  is the second class room.

k +  4  is the third class room.

k + 6 is the third class room.

k + 8 is the fifth class room.

The sum of the five consecutive class rooms are given as:

k + (k + 2) + (k + 4) + (k + 6) + (k + 8)

collecting alike terms we get

=  k + k + k + k + k + 2 + 4 + 6 + 8

= 5k + 20

Therefore, The sum of the first five classroom numbers in a row is 5k + 20.

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3 years ago
7x - 2(3x - 5) = 26 ​
Reptile [31]

Answer:

x=16

Step-by-step explanation:

7x−2(3x−5)=26

Use the distributive property to multiply −2 by 3x−5.

7x−6x+10=26

Combine 7x and −6x to get x.

x+10=26

Subtract 10 from both sides.

x=26−10

Subtract 10 from 26 to get 16.

x=16

Graph if needed:

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3 years ago
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podryga [215]

Answer:

The answer is B.

Step-by-step explanation:

Hope it helps!!

4 0
3 years ago
PLEASE HELP! I WILL GIVE BRAINLIEST!!!! (no trolls) PLEASE SHOW WORK OR GIVE EXPLANATION!!!!!!
IgorLugansk [536]

explanation:

The fastest way to find the missing endpoint is to determine the distance from the known endpoint to the midpoint and then performing the same transformation on the midpoint.  In this case, the x-coordinate moves from 4 to 2, or down by 2, so the new x-coordinate must be 2-2 = 0.  The y-coordinate moves from 4 to -5, or down by 9, so the new y-coordinate must be -5-9 = -14.

 

An alternate solution would be to substitute (4,4) for (x1,y1) and (2,-5) for (x,y) into the midpoint formula:

x=(x1+x2)/2

y=(y1+y2)/2

Solving each equation for (x2,y2) yields the solution (0,-14).

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Answer:

The answer would be, 81cm.

Step-by-step explanation:

36÷4=9

9×9=81

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