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ivolga24 [154]
3 years ago
9

What is 8x - 6 - 7x + 10

Mathematics
2 answers:
photoshop1234 [79]3 years ago
8 0

Simplifying

8x + -6 = 7x + 10

Reorder the terms:

-6 + 8x = 7x + 10

Reorder the terms:

-6 + 8x = 10 + 7x

Solving

-6 + 8x = 10 + 7x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-7x' to each side of the equation.

-6 + 8x + -7x = 10 + 7x + -7x

Combine like terms: 8x + -7x = 1x

-6 + 1x = 10 + 7x + -7x

Combine like terms: 7x + -7x = 0

-6 + 1x = 10 + 0

-6 + 1x = 10

Add '6' to each side of the equation.

-6 + 6 + 1x = 10 + 6

Combine like terms: -6 + 6 = 0

0 + 1x = 10 + 6

1x = 10 + 6

Combine like terms: 10 + 6 = 16

1x = 16

Divide each side by '1'.

x = 16

Simplifying

x = 16

HOPE I HELPED!!! :)

Vaselesa [24]3 years ago
8 0
X+4 , you would combined all the like terms 8x-7x= x
-6+10=4
x+4
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The quantities include hours and minutes.

The the known and unknown quantities can be used to write an equation and this gives 60 minutes.

<h3>How to explain the information?</h3>

It should be noted that there are two different units of time measurement and these are hours and minutes. In this case, once can either convert the hours given to minutes or vice versa.

Therefore,

2 hours = 120 minutes, and

2.5 hours = 150 minutes.

If x represents the number of potatoes in the bucket, then the time to peel all of the potatoes on the first day will be 1.5x.

The quantity added to the 120 minutes spent making pies is the total elapsed time for the first day's work. The first days time is equal to the second day. This will be:

120 + 1.5x = 150 + x

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x = 30/0.5 = 60

The time taken is 60 minutes.

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1 year ago
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For question 39 & 40, we need to use the below equation to complete the sentence

l=m\sqrt{n}

Question 39:

When ' n ' increase, the \sqrt{n} will also increase and that multiplied with constant ' m ', the l will also increase.

Solution for question 39:

As n increases and m stays constant , l <u>increases</u>

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Question 40:

Solving the equation for m, we get

l = m\sqrt{n} \\ \\ m=\frac{l}{\sqrt{n}}

When ' l ' increases, the numerator increase, the denominator stays constant because 'n' stays constant, for this condition, the fraction increases.

Solution for question 40:

As l increase and n stays constant, m <em><u>increases</u></em>

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For question 41 & 42, we need to use the below equation to complete the sentence

r=s^2/t^2

Question 41:

When s is triped, the equation will be...

r=(3s)^2/t^2=\frac{3^{2}s^{2}}{t^2}   =9s^2/t^2

Solution for question 41:

If s is tripled and t stays constant, r is multiplied by <em><u>9</u></em>

--------

Question 42:

When t is doubled, the equation will be...

r=s^2/(2t)^2=\frac{s^2}{2^2 \cdot t^2}=\frac{s^2}{4t^2}\\   \\ r=0.25s^2/t^2 \; \; (or) \; \; \frac{1}{4} \cdot \frac{s^2}{t^2}

Solution for 42:

If t doubled and s stays constant, r is multiplied by <em><u>1/4 or 0.25</u></em>


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