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2 years ago

2(2x - 8) = x - 46 ?

Mathematics

2 answers:

True [87]2 years ago

5 0

Answer:

x = -10

Steps:

2(2x - 8) = x - 46 Multiply 2 and 2x, and multiply 2 and -8

4x - 16 = x - 46 You then have this equation

-x -x Subtract x from both sides

<em>Now let me stop here. Why are we subtracting? Because we have variables on both sides, we subtract the least number with the variable. We have 4x and we have </em>x<em>. Now, x means 1x, and 1x is less than 4x. Therefore, we subtract 1x from both sides : 4x - 1x = 3x.</em>

3x -16 = -46 Then you get this

+16 +16 Add 16 to both sides (if it said 3x +16 = -46, then you'd subtract)

<u>3x</u> = -<u>30</u> You now have this

3 3 You only want x, so divide 3 from both sides

x = -10 Hope this helps!

Anna [14]2 years ago

4 0

Answer: X = -10

Step-by-step explanation:

Times two to the parentheses

Minus X from both sides, left with 3X-16=-46

Add 16 to both sides 3X=-30

Divide both sides by 3

Answer X=-10

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Which is bigger 4 pints or 4 quarts

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3 years ago

Value (in billions) 2017 2018

Tomtit [17]

The Owner's Equity for commercial banks in 2017-2018 is $0.4 billion.

The given is,

Borrowings = $0.10 Billion

Owner's Equity = $0.40 Billion

<h3 /><h3>What is the formula for the total liabilities?</h3>

Total liabilities = deposits + borrowings

So we have Borrowings = total liabilities - deposits

Borrowings in 2017

= $14.60 - 11.90

= $2.70 billion

Borrowings in 2018

= $14.80 - $12.20

= $2.60 billion

Borrowings from 2017-2018

= 2.60 - 2.70

= $0.10 billion

Owner's Equity= total assets - total liabilities

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= $16.2 - $14.6

= $1.6 billion

Owner’s equity in 2018

= $16.8 - $14.8

= $2 billion

Owner's Equity from 2017-2018

= 2 - 1.6

= $0.4 billion

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2 years ago

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Austin burns 120 calories per 30 minutes of weight training. How many calories does he burn in 90 minutes?

nadezda [96]

Answer:

360 calories

Step-by-step explanation:

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2 years ago

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Area of a trapezium is 31.5cm. If the parallel sides are of lengths 7.3cm and 5.3cm. Calculate the perpendicular distance betwee

Anna11 [10]

Answer:

5cm

Step-by-step explanation:

Given area of trapezium = 31.5 sq. cm

Length of parallel sides = 7.3cm and 5.3cm

Formula to calculate area of trapezium is

1/2*(sum of parallel sides)*perpendicular distance between parallel sides

sum of parallel sides = (7.3 + 5.3) = 12.6cm

substituting value of area given and sum of parallel sides we have

31.5 = 1/2* 12.6 * perpendicular distance between parallel sides

(31.5 * 2)/12.6 = perpendicular distance between parallel sides

perpendicular distance between parallel sides = 63/12.6 = 5

Therefore perpendicular distance between parallel sides for given trapezium is 5cm.

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3 years ago

What is the partial fraction decomposition of StartFraction 8 x + 19 Over (x + 8) (x minus 1) EndFraction? StartFraction 3 Over

hoa [83]

The partial fraction decomposition is $\frac{8x + 19}{(x + 8)(x - 1)} = \frac{5}{x + 8} + \frac{3}{x - 1}$

<h3>How to determine the decomposition?</h3>

The fraction is given as:

$\frac{8x + 19}{(x + 8)(x - 1)}$

Split the fraction as follows:

$\frac{8x + 19}{(x + 8)(x - 1)} = \frac{A}{x + 8} + \frac{B}{x - 1}$

Take the LCM

$\frac{8x + 19}{(x + 8)(x - 1)} = \frac{Ax -A + Bx + 8B}{(x + 8)(x -1)}$

Cancel the common factors

8x + 19 = Ax - A + Bx + 8B

By comparison, we have:

Ax + Bx = 8x

-A + 8B = 19

This gives

A + B = 8

-A + 8B = 19

Add both equations

9B = 27

Divide by 9

B = 3

Substitute B = 3 in A + B = 8

A + 3 = 8

Solve for A

A = 5

So, we have:

$\frac{8x + 19}{(x + 8)(x - 1)} = \frac{5}{x + 8} + \frac{3}{x - 1}$

Hence, the partial fraction decomposition is $\frac{8x + 19}{(x + 8)(x - 1)} = \frac{5}{x + 8} + \frac{3}{x - 1}$

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2 years ago