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Anastaziya [24]
3 years ago
15

-----------------> 10x - 3 - 2x = 4

Mathematics
2 answers:
Elina [12.6K]3 years ago
8 0

Answer:

x=\frac{7}{8}

Step-by-step explanation:

10x-3-2x=4

First, collect and rearrange the like terms.

10x-3-2x=4

8x-3=4

8x=4+3

Then, solve the equation:

8x=4+3

8x=7

x=\frac{7}{8}

So, the answer is x=\frac{7}{8}. Hope my solution and explanation can help you. Thank you!

If you still cannot get the point, you can ask me anytime.

AveGali [126]3 years ago
8 0

Answer:

x=7/8

Step-by-step explanation:

10x-3-2x=4

collect like term

8x-3=4

move constant to the right-hand side and change its sign

8x-3=4 into <u>8x=</u><u>4+3</u>

add up the number : 8x=4+3

8x=7 divide both sides of the equation by 8

<u>x = 7/8</u>

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I think that is 248 min in one day because 24/5 is 4.8. 4hours and 8 min. 4 times 60 is 240. 240 plus 8 is 248 this is what I think.
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3 years ago
If I buy a stereo for $245 and this includes GST of 10%, what is the pre-GST price?
Ivan

Answer:  $222.73

===========================================

Work Shown:

x = pre-GST price

10% of x = 0.10x = tax amount

x + 0.10x = 1.10x = post-GST price = 245

1.10x = 245

x = 245/1.10

x = 222.7272 approximately

x = 222.73 is the price before tax.

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

Check:

10% of 222.73 = 0.10*222.73 = 22.273 = 22.27

The tax amount ($22.27) is added to the pre-GST price to get

22.27+222.73 = 245

which matches the post-GST price mentioned.

The answer is confirmed.

Or another way to confirm the answer is to calculate this

1.10*222.73 = 245.003 = 245

6 0
2 years ago
Read 2 more answers
The length of a rectangle is 6 more than twice the width. if the area is 40 cm^2, find the length and breadth of the rectangle
ra1l [238]

Answer: 3.217 & 12.434

Step-by-step explanation:

If we use <em>w</em> to represent the width, the length will be 6 more than 2 times w.

Hence, the length is 2w+6.

The area of a rectangle would be its length times its width, so let's make an equation to represent it's area.

A=w(2w+6)

We can also substitute 40 in for A as it's given in the question.

40 = w(2w+6)

Distributing <em>w</em> by multiplying it by both terms in the parentheses, we get

40 = 2w^2+6w

We can make the equation simpler by dividing both sides by 2.

20 = w^2+3w

Subtracting both sides by 20 will make the left-hand side 0.

0=w^2+3w-20

Now that we have put this <em>quadratic equation</em> into standard form (ax²+bx+c), we can find its solutions using the quadratic formula.

For reference, the quadratic formula is

x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}

In this case, a is 1, b is 3, and c is -20.

Substituting, we get

w=\frac{-3\pm\sqrt{3^2-4(1)(-20)}}{2(1)}

w= \frac{-3\pm\sqrt{9+80}}{2}

w=\frac{-3+\sqrt{89}}{2}\hspace{0.1cm}or\hspace{0.1cm}\frac{-3-\sqrt{89}}{2}

Since the second solution results in a negative number, it cannot be the length of w.

w=\frac{-3+\sqrt{89}}{2}\approx3.217

The width/breadth of the rectangle is 3.217 cm.

To calculate the length, let's substitute the width into the expression for the length:

l=2(3.217)+6

l=12.434

The length of this rectangle is 12.434 cm.

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