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allochka39001 [22]
2 years ago
12

How do you solve 32 - 6x = 53?

Mathematics
2 answers:
katrin2010 [14]2 years ago
7 0

\large\boxed{x=-\frac{7}{2}}

To solve for x, we need to isolate it on one side of the equation.

The most important part of this is knowing that whatever we do to one side of the equation, we must also do to the other.

Subtract 32 from both sides of the equation.

\begin{aligned}32-32-6x&=53-32\\-6x&=21\end{aligned}

Divide both sides of the equation by -6.

\begin{aligned}\frac{-6x}{-6}&=\frac{21}{-6}\\x&=\boxed{-\frac{7}{2}}\end{aligned}

Cerrena [4.2K]2 years ago
3 0

Answer:

x = - 3.5

Step-by-step explanation:

32 - 6x = 53 ( subtract 32 from both sides )

- 6x = 21 ( divide both sides by - 6 )

x = \frac{21}{-6} = - \frac{7}{2} = - 3.5

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3 years ago
Find the product. Your answer must be in simplest form.<br> 7/8 of 56
Leviafan [203]

Answer:

You probably know that the number above the fraction line is called the numerator and the number below it is called the denominator. To work out the fraction of any number, we first need to convert that whole number into a fraction as well.

Here's a little tip for you. Any number can be converted to fraction if you use 1 as the denominator:

56

1

So now that we've converted 56 into a fraction, to work out the answer, we put the fraction 7/8 side by side with our new fraction, 56/1 so that we can multiply those two fractions.

That's right, all you need to do is convert the whole number to a fraction and then multiply the numerators and denominators. Let's take a look:

7 x 56

8 x 1

=  

392

8

In this case, our new fraction can actually be simplified down further. To do that, we need to find the greatest common factor of both numbers.

You can use our handy GCF calculator to work this out yourself if you want to. We already did that, and the GCF of 392 and 8 is 8.

We can now divide both the new numerator and the denominator by 8 to simplify this fraction down to its lowest terms.

392/8 = 49

8/8 = 1

When we put that together, we can see that our complete answer is:

49

1

The complete and simplified answer to the question what is 7/8 of 56 is:

49

Hopefully this tutorial has helped you to understand how to find the fraction of any whole number. You can now go give it a go with more numbers to practice your newfound fraction skills.

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
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Irina-Kira [14]

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Step-by-step explanation:

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200 kg of water must be added to dilute the solution to 10%.

4 0
2 years ago
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