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3 years ago

Solve and verify please solve

Mathematics

1 answer:

RUDIKE [14]3 years ago

5 0

Answer:

Below in bold.

Step-by-step explanation:

I'll solve a few of them to illustrate the method:

a) 5x - (3x - 1) = x - 4

The aim is to get all the 'x' terms to one sides of the '=' and the numbers to the other side:

Distribute the negative over the 3x - 1 in the parentheses:

5x - 3x + 1 = x - 4 ( Note that -* -1 = + 1)

Now subtract 1 from both sides:

5x - 3x + 1 - 1 = x - 4 - 1

5x - 3x = x - 5

Now subtract x from both sides:

5x - 3x - x = x - x - 5.

2x - x = -5

x = -5.

(b) 3/5 x + 1 = 2/5 - 3x

We first get rid of the fractions by multiplying each term by 5:

5 * 3/5 x + 1*5 = 5 * 2/5 - 5*3x

3x + 5 = 2 - 15x

3x + 15x + 5 = 2 - 15x + 15x (adding 15x to both sides)

18x + 5 = 2 Subtract 5 from both sides:

18x + 5 - 5 = 2 - 5

18x = -3

Now we divide both sides by 18:

x = -3/18 = -1/6.

g) 0.3(6 + m) = 0.4(8 - m)

0.3 * 6 + 0.3* m = 0.4*8 + 0.4 * -m ( Distributing the 0.3 and 0.4 over the parentheses)

1.8 + 0.3m = 3.2 - 0.4m ( recall that + * - = -)

1.8 - 1.8 + 0.3m = 3.2 - 1.8 - 0.4m

0.3m = 1.4 - 0.4m

0.3m + 0.4m = 1.4 - 0.4m + 0.4m

0.7m = 1.4

m = 1/4/0.7

m = 2.

I hope this helps.

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3 years ago

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NEED HELP ASAP Given G (-6,5) and H (2, -7), what is the length of GH

lesya692 [45]

$\bold{\huge{\green{\underline{ Solution }}}}$

$\bold{\underline{ Given}}$

We have given that the coordinates of the end point G and H are ( -6,5) and ( 2, -7 )

$\bold{\underline{To \: Find :- }}$

We have to find the length of GH

$\bold{\underline{Let's \: Begin :- }}$

The coordinates of G = ( -6 , 5 )

The coordinates of H = ( 2 , - 7 )

According to the distance formula, we get :- 

$\purple{\bigstar}\boxed{\sf{Distance\:\:GH=\sqrt{(x_1-x_2)^2+(y_1-y_2)^2\;}}}$

Here, x1 = -6 , x2 = 2 and y1 = 5 , y2 = -7

Subsitute the required values in the above formula 

$\sf{ Distance \:GH = √( -6 - 2)² + ( 5 -(-7))²}$

$\sf{Distance\:GH= √(-8)^2+(5 + 7)^2}$

$\sf{Distance\:GH=√(-8)^2+(12)^2}$

$\sf{ Distance \:GH =√64 + 144 }$

$\sf{ Distance \:GH =√ 208}$

$\sf{ Distance\: GH = √ 2 × 2 × 2 × 2 × 13}$

$\sf{ Distance \:GH = 4√13}$

$\sf{\red{ Hence\: the \: length\:of \: GH \: is \: 4√13 \: units}}$

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2 years ago

If UW = 9x – 9, what is UW in units?

Tju [1.3M]

I will answer this question to the best of my ability, because you have not provided a value of x to plug in.

UW is always equal to 9x-9 or 9(x-1) whenever x is a real number. By plugging in x, we can get the value. For example, if x was 4, we plug in x, giving us 9*4-9=36-9=27 units or 9(4-1)=9(3)=27 units
Don't forget to include units when you complete your answer!

Hope this helps! I did as much as I could!

5 0

3 years ago

Suppose we want to choose colors, without replacement, from the colors red, blue, green, and purple.

DerKrebs [107]

The number of ways when the choice is not relevant is 4

<h3>How to determine the number of ways?</h3>

The number of colors are:

Colors, n = 4

The color to choose are:

r = 3

Relevant choice

When the choice is relevant, we have:

$Ways = ^nP_r$

This gives

$Ways = ^4P_3$

Evaluate

Ways = 24

Hence, the number of ways when the choice is relevant is 24

Not relevant choice

When the choice is not relevant, we have:

$Ways = ^nC_r$

This gives

$Ways = ^4C_3$

Evaluate

Ways = 4

Hence, the number of ways when the choice is not relevant is 4

Solve and verify please solve​

Solve and verify please solve