Multiplying a number by 2 and then dividing it by 3 is the same as multiplying by what number

Mathematics

1 answer:

dybincka [34]3 years ago

7 0

2*6= 12 divided by 3 is 4.

2*2= 4

So multiplying 6 by 2 and then dividing by 3 is the same as multiplying 2 by 2.

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What method would you choose to solve the equation 2x^2-7=9

Margaret [11]

Here is one way to solve for x.

Step 1) 2x^2-7=9

Step 2) 2x^2-7+7=9+7

Step 3) 2x^2=16

Step 4) (2x^2)/2=16/2

Step 5) x^2=8

Step 6) sqrt(x^2)=sqrt(8)

Step 7) |x|=sqrt(8)

Step 8) x=sqrt(8) or x=-sqrt(8)

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

Below are explanations/reasons to each of the steps above.

Step 1) Original equation

Step 2) Add 7 to both sides

Step 3) Combine like terms

Step 4) Divide both sides by 2

Step 5) Simplify

Step 6) Apply the square root to both sides. The notation "sqrt" is shorthand for "square root"

Step 7) Use the rule that sqrt(x^2) = |x| for all real numbers x

Step 8) Use the rule that if |x| = k then x = k or x = -k for some fixed number k.

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

The two solutions are
x = sqrt(8) or x = -sqrt(8)

3 0

3 years ago

The figure below shows a rope that circles the Earth. The radius of the Earth is 637163716371 kilometers. Assuming the rope make

lutik1710 [3]

The length of the rope for this case is given by the length of the circumference.
We have then:
C = 2 * pi * R
Where,
R: Earth radio.
We have then:
C = 2 * pi * (6371)
C = 12742 * pi
Answer:
the length of this rope is:
C = 12742 * pi

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A health food store has launched a new pack of vitamins for children. The store records the number of packs ordered by a random

tiny-mole [99]

Answer:

has to be B or C

Step-by-step explanation:

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