Solve for x.

[tex] - 2(6 + x) = 18 - 3x[/tex]

x = [?]​

Step-by-step explanation:

Hey there!!

Let's check!

The equation are:

y=x

x - y = 0......(i).

y = x+2

x - y +2 =0......(i).

From equation (i).

[tex]slope(m1) = \frac{ - coeff. \: of \: x}{ coeff. \: of \: y} [/tex]

[tex]m1 = \frac{ - 1}{ - 1} [/tex]

Therefore the slopeof 1st equation is 1.

Now,

From 2nd equation.

[tex]slope(m2) = \frac{ - coeff. \: of \: x}{coeff. \: of \: y} [/tex]

[tex]m2 = \frac{ - 1}{ - 1} [/tex]

Therefore the slope of equation 2 is 1.

As per the condition of parallel lines,

m1= m2

From both equation we got,

m1=m2=1

So, the lines are parallel.

For perpendicular,

m1×m2 = -1

1×1 is not equal to -1.

So, they are not perpendicular.

So, The answer is Option A.

Hope it helps....

Answer:

x = 15

Step-by-step explanation:

Use the direct variation equation, y = kx

Plug in the values of x and y to find k

y = kx

104 = k(8)

13 = k

So, the direct variation equation will be y = 13x

Plug in 195 as y to find x

y = 13x

195 = 13x

15 = x

So, x = 15 when y = 195

As The value of y varies directly with x, when y = 195, x will be 15.

Proportions are of two types one is the direct proportion in which if one quantity is increased by a constant k the other quantity will also be increased by the same constant k and vice versa.

In the case of inverse proportion if one quantity is increased by a constant k the quantity will decrease by the same constant k and vice versa.

Given, The value of y varies directly with x.

∴ y = kx.

If x = 8, then y = 104.

104 = 8k.

k = 104/8.

k = 13.                                  (constant of proportionality)

Now,  y =195.

∴ 195 = 13x.

x = 195/13.

x = 15

learn more about proportion here :

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Answer:

r = - 8

Step-by-step explanation:

First, put -3r + 16 and -r - 4r equal to each other. -3r + 16 = -r - 4r, then combine the -r -4r to equal -5r so the equation is easier to solve. -3r + 16 = -5r, then add 3r to both sides to get 16 = = -2r and then divide both sides by -2 to get r = -8.

Answer:

5% I think

Step-by-step explanation:

Its mostly just a guess but I think its 5%

The probability that it is neither diet nor caffeine-free is 0.13.

Probability is the likeliness of an event to happen.

The number of total sodas = 100

The number of diet soda = 65

The number of Caffeine free sodas = 30

The number of caffeine free sodas out of diet sodas = 22

The number of soda that are neither caffeine nor soda is 100 -65-22 = 13

The probability that it is neither diet nor caffeine-free is 13/100 = 0.13

To know more about Probability

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Answer:

[See Below]

Step-by-step explanation:

✦ Solve for [tex]10y+30=100[/tex].

✦ Subtract [tex]30[/tex] on each side:

✦ Divide [tex]10[/tex] on each side:

So the answer would be [tex]7[/tex].

~Hope this helps Mate. If you need anything feel free to message me.

Answer:

8.6

Step-by-step explanation:

Steps to solve:

-4x = 12

~Divide -4 to both sides

x = -3

Best of Luck!

Answer:

x=-3

Step-by-step explanation:

-x=12/4

-x=3

×=-3

Answer:

The missing side length is 3x^2 + 2x -4

Step-by-step explanation:

Here, we are interested in calculating the length of the missing side.

Mathematically, the area of a rectangle = L * B

So since we have the area and one side, to get the other side, we shall need to divide the area by the side we have ;

Thus, the missing side length will be;

6x^3+19x^2+2x-20/2x+ 5

Please check attachment for the polynomial long division

The value of the other factor after the polynomial long division is 3x*2 + 2x -4

Answer:

oh i have done these before but this one is a little confusing bc i got 2 answers B or C

Answer:

Step-by-step explanation:add by 13

12 + 13 = 25

25+ 13= 38

Answer:

185/9

Step-by-step explanation:

20 5/9

Multiply 20 by the 9 (the denominator), and you''ll get 180.

Add the 5 (the numerator) to 180, and you'll get 185.

Then, place 185 over the denominator which is 9 and you get 185/9!

Answer:

[tex]\frac{185}{9}[/tex]

Step-by-step explanation:

This is the answer because:

1) The formula of changing mixed fractions to improper fractions is denominator times the whole number plus the numerator

2) Denominator = 9

Whole number = 20

Numerator = 5

9 x 20 + 5 = 185

Therefore, the answer is [tex]\frac{185}{9}[/tex]

Hope this helps!

Answer:

The answer is -96

Step-by-step explanation:

First, you need to think of the question as a normal multiplication question. When there is a number in parenthesis next to a number with no symbol in between, that means multiplication. So multiply 8 with 12. This would equal 96. Since the sign of the greater number is negative, you would put a negative sign before the number 96, giving you the answer -96.

I hoped that helped! You are welcome! :)

Hey there!☺

[tex]Answer:\boxed{\text{True Solutions}}[/tex]

[tex]Explanation:[/tex]

[tex]2x+8=2(x+4)[/tex]

All of them are true solutions because 2x + 8 is equal to 2(x+4) which shows that is a true solution. So they are all true solutions.

Hope this helps!

Answer:

-6<x<9 is the right option.

Answer:

Step-by-step explanation:

f(x) = 2x + 5

f(-6)= 2(-6) + 5 = -12 + 5 = -7

Answer:

3.947

Step-by-step explanation:

7 wholes = 7

one half = 0.5

1 whole = 1

nine tenths = 0.9

7.5/1.9 ≈ 3.947

Answer: a. $ 0.8

b. 1.25 meters

Step-by-step explanation:

Answer:

a. $ 0.8

b. 1.25 meters

Step-by-step explanation:

hope it helps

Answer:

the width is 2.9

Step-by-step explanation:the perimeter is found by L+W+L+W. Each L is going to be the same length and each width is going to be the same length since its a rectangle.

Double the length. 8.3+8.3= 16.6

Then subtract that from the perimeter. 22.4-16.6= 5.8

Then divide 5.8 as that is the total of the two missing sides. 5.8/2= 2.9

Then 2.9 is your answer. Hope that helps.

Answer:

Step-by-step explanation:

You need to translate these into a common rate.

feet / second is probably the best one.

Whippet: 50/1 = 50 feet / second.

Ostrich: 40 miles/ hour = 40 *[ 1 hour/3600 sec] * [5280 feet / mile] = 58.67 ft/sec

Giraffe: 1/2 mile / minute * [1 minute/60 sec]*[5280 feet/mile] = 1/2 * 5280/60 = 44 feet/second

Cat: 15 yards / sec [ 3 feet/ yard] = 45 feet / second

Looks like the Ostrich is the fastest.

Here is the answer for the problem I believe

Answer:

Step-by-step explanation:

y + 2 = 1/7(x - 7)

y + 2 = 1/7x - 1

y = 1/7x - 3

A is the answer

Answer:

Hi there!

She used rounding to estimate the sum!

Answer:

w=13

Step-by-step explanation:

Answer:

w =13

Step-by-step explanation:

[tex]15+w=3w-11[/tex]

Collect like terms

[tex]15+11 =3w-w\\[/tex]

Simplify

[tex]26 = 2w[/tex]

Divide both sides of the equation by 2

[tex]\frac{26}{2} = \frac{2w}{2}[/tex]

Simplify

[tex]13 = w[/tex]

Switch sides

[tex]w =13[/tex]

Answer:

c- Division property of equality

Step-by-step explanation:

You would subtract 7x from the other side

Then divide by 8 to get x by itself.

Answer:

-8.4

Step-by-step explanation:

Because if you want to find the opposite of a number then you find that same number on the other side on the number line for example, -4.5 you would go on the other side and you would get positive 4.5

Answer:

If you're refering to the additive inverse then it's, -8.4

Step-by-step explanation:

To get an additive inverse or more so an opposite, you simply add the negative to the original for 0.

Example: 8.4 + -8.4 = 0