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hram777 [196]
2 years ago
14

2.25k - 20 = 6.5k + 14 please help me solve this step by step asap!

Mathematics
1 answer:
Rom4ik [11]2 years ago
8 0
Answer:

k= -8

Explaining:


Move variable to the left-hand side and change its sign.

2.25k - 6.5k - 20= 6.5k - 6.5k + 14


Since two opposites add up to zero, remove them from the expression.

2.25k - 6.5k - 20= 14

Collect like terms!

-4.25k = 14 + 20

Add the numbers

-4.25k = 35


Divide both sides of the equation by -4.25

So you will get the answer: k= -8
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Hello!

Answer:

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Find four consecutive even integers such that seven times the first exceeds their sum by 18.
Ganezh [65]

Answer:

10, 12, 14, 16

Step-by-step explanation:

Given: Four consecutive even integers such that seven times the first exceeds their sum by 18.

Lets assume the first number be "x".

As it is even integers

∴ Second consecutive number will be (x+2)

  Third consecutive number will be (x+4)

  Fourth consecutive number will be (x+6)

Now, as given seven times the first exceeds their sum by 18.

∴ [x+(x+2)+(x+4)+(x+6)]+18 = 7x

solving the equation to find the number.

⇒ [x+(x+2)+(x+4)+(x+6)]+18 = 7x

Opening parenthesis

x+x+2+x+4+x+6+18 = 7x

⇒ 4x+30= 7x

subtracting both side by 4x

⇒ 30= 3x

Dividing both side by 3

∴ x= 10.

Hence, subtituting the value x to find four consecutive even integers.

  First number is 10

  Second consecutive number will be (10+2) = 12

  Third consecutive number will be (10+4)= 14

  Fourth consecutive number will be (10+6) = 16

∴ Four consecutive even integers are 10,12,14,16.

8 0
2 years ago
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