What is the value of x in the equation 3.5x+5.4=19.4

Mathematics

1 answer:

kipiarov [429]2 years ago

4 0

Answer: x = 4

Step-by-step explanation: To solve this equation, we could go right to our steps of subtracting 5.4 from both sides, but I would do a slightly different approach.

Since I hate working with decimals, I would get rid of them.

We can do this by multiplying both sides of the equation by 10, and remember to multiply every term by 10 to keep it balanced.

*Multiplying by 10 shifts the decimal point 1 place to the right

So we have 35x + 54 = 194 which looks a lot better.

Now subtract 54 from both sides to get 35x = 140.

Now divide both sides by 35 and x = 4.

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Spencer has a wooden post that is five and three sevenths feet long. He cut two and one half feet off the post. What is the leng

Vaselesa [24]

Answer:

2 13/14 feet

Step-by-step explanation:

The remaining length is the difference between the starting length and the amount cut off:

5 3/7 - 2 1/2 = (5 -2) +(3/7 -1/2) = 3 +((3·2-7·1)/(7·2)) = 3 -1/14

= 2 13/14 . . . feet remaining

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<em>Additional comment</em>

Addition and subtraction of fractions can be accomplished using a formula that does not rely on finding a least common denominator. In this case, the denominators have no common factors, so their product is, in fact, the least common denominator.

$\dfrac{a}{b}-\dfrac{c}{d}=\dfrac{ad-bc}{bd}$