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Bumek [7]
3 years ago
12

Given that an equation is 1/54x = 1/9, what would x be?

Mathematics
1 answer:
igomit [66]3 years ago
6 0

If two fractions are equal to each other, then their inverses must be equal as well:

\dfrac{a}{b} = \dfrac{c}{d} \implies \dfrac{b}{a} = \dfrac{d}{c}

So, we have

\dfrac{1}{54x} = \dfrac{1}{9} \implies 54x = 9

Now divide both sides by 54:

x = \dfrac{9}{54} = \dfrac{1}{6}


Note:

Given the slightly ambiguous way the question is written, you may also mean

\dfrac{1}{54}\; x = \dfrac{1}{9}

In this case, simply multiply both sides by 54:

x = \dfrac{54}{9} = 6

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Sophia and Isabella share a reward of $117 in a ratio of 1 : 8. What fraction of the total reward does Sophia get?
Norma-Jean [14]
She gets 1/9 of the $117, or $13, while Isabella gets the other $104.

This holds to the ratio as $13 is 1/8 of $104.
7 0
3 years ago
Read 2 more answers
If one-sixth of a number plus one-third returns two-thirds of that number What is the number
Solnce55 [7]

Answer:

x= \frac{2}{3}

Step-by-step explanation:

Let the number be x

Given

\frac{1}{6}x + \frac{1}{3} = \frac{2}{3}x

Required

Find x

\frac{1}{6}x + \frac{1}{3} = \frac{2}{3}x

Collect Like Terms

\frac{1}{6}x -  \frac{2}{3}x = - \frac{1}{3}

Take LCM

\frac{1 - 4}{6}x = \frac{-1}{3}

\frac{- 3}{6}x = \frac{-1}{3}

Multiply both sides by 6

6 * \frac{- 3}{6}x = \frac{-1}{3} * 6

-3x= -2

Divide both sides by -3

\frac{-3x}{-3}= \frac{-2}{-3}

x= \frac{2}{3}

Hence, the number is \frac{2}{3}

7 0
4 years ago
When factored, the trinomials x2 + 4x − 21 and x2 + 11x + 28 have one binomial factor in common. What is this factor?
Gelneren [198K]

Answer:

x + 7

Step-by-step explanation:

x2 + 4x − 21

set equal to 0

x2 + 4x − 21 = 0

factor

(x - 3) (x + 7)

x2 + 11x + 28

set equal to 0

x2 + 11x + 28 = 0

factor

(x + 4) (x + 7)

6 0
4 years ago
Can you please help I dont understand
Kryger [21]

I'm from Brazil ,

<span>There, in the United States, it's difficult.

</span>
4 0
3 years ago
Please help me outtt!
ValentinkaMS [17]
The middle term of the simplified product is “x”.

The simplified product is x^2 - x - 12

X being the middle


hope this helps !
8 0
4 years ago
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