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4 days ago

If HJ= 7x-27 . Find the value of x

Mathematics

2 answers:

babunello [3.6K]4 days ago

7 0

we are presented with

$HJ=7x-27$

Since our goal is to find the value of x

we need to rearrange the equation to isolate x on one side

step-1: Add 27 to both sides

$HJ+27=7x-27+27$

$HJ+27=7x$

step-2: Divide each side by 7

$HJ+27=7x$

$\frac{HJ+27}{7}= \frac{7x}{7}$

Now, we can simplify it

$\frac{HJ+27}{7}= x$

$x=\frac{HJ+27}{7}$ ................Solution

Leona [4.1K]4 days ago

4 0

Answer:

The value of x is $x=\frac{HJ+27}{7}}$

Step-by-step explanation:

Examine the equation given.

$HJ= 7x-27$

We are tasked with finding x.

To start, add 27 to each side of the equation.

$HJ+27= 7x-27+27$

$HJ+27= 7x$

Then, divide both sides by 7.

$\frac{HJ+27}{7}=\frac{7x}{7}$

$x=\frac{HJ+27}{7}}$

Thus, the value of x is $x=\frac{HJ+27}{7}}$

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Answer:

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¡Hola! Bienvenido a!

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Svet_ta [4296]

The result of multiplying 10 by 6 hundreds equals 60 hundreds, which can also be expressed as 6 thousands.

Explanation

This can be simplified as follows:

10 times a given quantity of _____ hundreds results in 60 hundreds
60 hundreds convert to _____ thousands

We will divide this into two segments:

$\boxed{ \ 10 \times (N \times 100) = 60 \times 100 \ }$ ... Equation-1

$\boxed{ \ 60 \times 100) = M \times 1,000 \ }$ ... Equation-2

This straightforward multiplication relates to the place value system. We need to perform calculations to find the values of N and M.

Initially, let's focus on Equation-1.

We will move the variable M to one side of the equation in order to isolate it and solve for its value.

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Both parts will be divided by 1,000, essentially being multiplied by $\frac{1}{1,000}$ .

$\boxed{ \ \frac{1}{1,000} \times 1,000 \times N = \frac{1}{1,000} \times 6,000 \ }$

Thus, we conclude with $\boxed{\boxed{ \ N = 6 \ }}$

Next, we process Equation-2 to derive M's value.

$\boxed{ \ 60 \times 100) = M \times 1,000 \ }$

$\boxed{ \ 6,000 = M \times 1,000 \ }$

Rearranging this equation to place M on the left side appears as follows:

$\boxed{ \ M \times 1,000 = 6,000 \ }$

Again, both sides undergo division by 1,000, which translates to multiplication by $\frac{1}{1,000}.$ .

$\boxed{ \ \frac{1}{1,000} \times M \times 1,000 = \frac{1}{1,000} \times 6,000 \ }$

This results in $\boxed{\boxed{ \ M = 6 \ }}$

- - - - - - -

Alternative approach for the second step:

60 hundreds equals to __ thousands

$\boxed{ \ 6 \times 10 \ hundreds = \ M \ thousands} \ }$

$\boxed{ \ 6 \times thousands = \ M \ thousands} \ }$

$\boxed{\boxed{ \ M = 6 \ }}$

Additional resources

A more detailed version of this topic
2 thousands 7 tens divided by 10 equals what?
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Keywords: 10 times as many as, blank, hundreds, 60 hundreds, or, thousands, isolate, operations, multiply, divide, fraction, both sides, equal, the opposite, both sides are multiplied by, divided by, rearrange

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