what does x equal 20 - 3x = 8

Answer:

The two different point on a segment joining the United States Capital and the White House such that the ratio of the shorter segments created by each is 1 : 3 are [tex]\vec C_{1} =(-1,7)[/tex] and [tex]\vec C_{2} = (-7,13)[/tex].

Step-by-step explanation:

At first we need to calculate the vector distance between [tex]A(x,y) = (2, 4)[/tex] and [tex]B(x,y) =(-10,16)[/tex] by following vectorial subtraction:

[tex]\overrightarrow{AB} = \vec B - \vec A[/tex] (Eq. 1)

Where:

[tex]\overrightarrow{AB}[/tex] - Vector distance between points A and B, dimensionless.

[tex]\vec A[/tex], [tex]\vec B[/tex] - Vector distance between each point and origin, dimensionless.

If we know that [tex]A(x,y) = (2, 4)[/tex] and [tex]B(x,y) =(-10,16)[/tex], then we have the following result:

[tex]\overrightarrow {AB} = (-10,16)-(2,4)[/tex]

[tex]\overrightarrow{AB} = (-10-2,16-4)[/tex]

[tex]\overrightarrow{AB} = (-12,12)[/tex]

Besides, we can find the location of any point inside the line segment by using the following vectorial equation:

[tex]\vec C = \vec A + r\cdot \overrightarrow{AB}[/tex] (Eq. 2)

Where:

[tex]r[/tex] - Segment factor, dimensionless.

[tex]\vec C[/tex] - Location of resulting point, dimensionless.

There are two different options for the location of resulting point: [tex]r_{1} = \frac{1}{4}[/tex] and [tex]r_{2} = \frac{3}{4}[/tex]. Now we proceed to find each option:

[tex]r_{1} = \frac{1}{4}[/tex]

[tex]\vec C_{1} = (2,4) +\frac{1}{4}\cdot (-12,12)[/tex]

[tex]\vec C_{1} = (2,4)+(-3,3)[/tex]

[tex]\vec C_{1} =(-1,7)[/tex]

[tex]r_{2} = \frac{3}{4}[/tex]

[tex]\vec C_{2} = (2,4) +\frac{3}{4}\cdot (-12,12)[/tex]

[tex]\vec C_{2} = (2,4) +(-9,9)[/tex]

[tex]\vec C_{2} = (-7,13)[/tex]

The two different point on a segment joining the United States Capital and the White House such that the ratio of the shorter segments created by each is 1 : 3 are [tex]\vec C_{1} =(-1,7)[/tex] and [tex]\vec C_{2} = (-7,13)[/tex].

Answer:

first one (382,000)

Step-by-step explanation:

just multiply by 10^5

Answer:

382000

Step-by-step explanation:

3.82*100*1000=382*1000=382000

Answer:

B) [tex]4r^{3}[/tex]

Step-by-step explanation:

[tex]\sqrt{16r^{6}}=\sqrt{4*4* r^{(3*2)}\\[/tex]

          [tex]=\sqrt{4^{2}*(r^{3})^{2}}\\\\=4*r^{3}\\\\=4r^{3}[/tex]

Answer:

B)  4r3

Step-by-step explanation:

Hope this helps.

Answer: It's 4

Step-by-step explanation: 12-8 is 4, 4-3 is 1

Answer:42

Step-by-step explanation: You have to multiply 7 per 6 and so the result will be 42.

Answer:

6

Step-by-step explanation:

11 - -5 = 6

The temperature at noon is 6 degrees Celsius.

Suppose it was -5 degrees Celsius at 6:00 a.m.

By noon, the temperature had increased by 11 degrees.

Temperature declines as altitude increases.

The temperature at noon is calculated by adding the morning temperature and temperature in the afternoon.

The temperature in noon = temperature at 6;00 a.m. + increase in temperature in afternoon.

The temperature in noon = -5 + 11

The temperature in noon = 6 degrees.

Hence, the temperature at noon is 6 degrees Celsius.

To know more about Temperature click the link given below.

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Answer:

number 2......................

I don't know the correct answer but I know its not 0.60 watts

Answer:

it is 3.6 watts

Step-by-step explanation:

there is no explanation but if needed proof i will try to post a picture of it

Answer:

Step-by-step explanation:

m-10=0

m = 10

8m-1=0

8m=1

m=1/8

Answer:

A

Step-by-step explanation:

Answer: They earned 500 bucks in total

Answer:

They want to make 200 dollars

Step-by-step explanation:

40*5=200

Answer:

Step-by-step explanation:

Given expression:

     The ratio equivalent to 8:58

  let us first reduce this ratio to the simplest term:

      Divide by 2;

           4 : 29

A. 16: 10

   Reduce to the simplest term by dividing by 2;

      4 : 5

B . 50:80

    Reduce to the simplest term by dividing by 10;

      5 : 8

C. 48 : 30

   Reduce to the simplest term by dividing by 6:

       8 : 5

D.   32 : 20

    Divide through by 4;

      8 : 5

E. 64 : 35

   Cannot be further simplified

Answer:the answer is 1)30

Step-by-step explanation:

Answer:

D. 40

Step-by-step explanation:

Triangles add up to 180 degrees so...

110 + 30 + x = 180

140 + x = 180

x = 40

Yeah Ik!

You're cool too!

Answer:

x = 7

Step-by-step explanation:

Hello there! Your correct answer would be 21 gallons.

When you convert 80 liters to gallons.. It would be 21 gallons.

In a short answer... You could use google or your notes. I prefer your notes, as that'll help you much more than google.  

✨ There is your answer, have a nice day! ✨

(Kinda figured you meant "80")

⌨ Please give me brainlest!! ⌨

Answer:

102

Step-by-step explanation:

Answer: 300 cents or 3 dollars

Step-by-step explanation: 12x25=300.

Answer:

300 CENTS

Step-by-step explanation:

hope this helps

Answer:

The investment of $40,000 is worth $94,529.80 now

Step-by-step explanation:

Compound Interest

It occurs when the interest is reinvested along with the principal, rather than paying it out. When it happens interest in the next period is then earned on the principal sum plus previously accumulated interest.

To calculate the final amount we use:

[tex]{\displaystyle A=P\left(1+{\frac {r}{n}}\right)^{nt}}[/tex]

Where:

A = final amount

P = initial principal balance

r = interest rate

n = number of times interest applied per time period

t = number of time periods elapsed

The investment is for t=6 1/4 years = 6.25 years with an initial balance of P=40,000 at a rate r=14% = 0.14 compounded quarterly. Since there are 4 quarters per year, then n=4.

Applying the formula:

[tex]{\displaystyle A=40,000\left(1+{\frac {0.14}{4}}\right)^{4*6.25}}[/tex]

[tex]{\displaystyle A=40,000\left(1+0.035\right)^{25}}[/tex]

A=$94,529.80

The investment of $40,000 is worth $94,529.80 now

Answer:

$54.79 is the answer

Step-by-step explanation:

Answer:

16+56

Step-by-step explanation:

8(2 + 7)

=8*2+8*7

16+56

Answer:

The square root of 14 is between 3 and 4.

Step-by-step explanation:

The answer would be that because the square root of 14 is  3.74165738677. HOPE THIS HELPS! CAN I HAVE BRAINLIEST?!

Answer:

x = 3

Step-by-step explanation:

 (3 • (5x - 15)) -  15 • (x - 3)  = 0  

STEP

2

:

STEP

3

:

Pulling out like terms

3.1     Pull out like factors :

  5x - 15  =   5 • (x - 3)  

Equation at the end of step

3

:

 15 • (x - 3) -  15 • (x - 3)  = 0  

STEP

4

:

Pulling out like terms

4.1      Pull out     15  

Pulling out like terms :

4.2      Pull out     x-3  

After pulling out, we are left with :

     15 • x-3 • ( 1  *  1 +( (-1)  *  (-1) ))

Equation at the end of step

4

:

 30 • (x - 3)  = 0  

STEP

5

:

Equations which are never true

5.1      Solve :    30   =  0

This equation has no solution.

A a non-zero constant never equals zero.

Solving a Single Variable Equation:

5.2      Solve  :    x-3 = 0  

Add  3  to both sides of the equation :  

                     x = 3

One solution was found :

x = 3

The required value of a for which the solution of the inequality is all real numbers is a > 4.

A statement of an order relationship-greater than, greater than or equal to, less than, less than or equal to- between two numbers or algebraic equations.

Now the given inequality is,

a(x + 3) < 5x + 15 - x

or, a(x + 3) < 4x + 15

Now let us solve for x first,

⇒ ax + 3a  < 4x + 15

Subtract 3a from both sides we get,

ax < 4x + 15 - 3a

Subtract 4x from both sides we get,

ax - 4x < 15 - 3a

or, (a - 4)x < 15 - 3a

Dividing both the side by (a - 4) we get,

x < (15 - 3a) / (a - 4)

Now for solutions to be real numbers,

a - 4 > 0

subtracting 4 both the side we get,

⇒ a > 4

this is the required value of a for which the solution of the inequality is all real numbers

Thus, the required value of a for which the solution of the inequality is all real numbers is a > 4.

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Answer:

yes

Step-by-step explanation:

Since there is one value of y for every value of x, this relation is a function.

The relation is a function.

Answer:

C

Step-by-step explanation:

We can fill in the negative in front of the parenthesis with a one. So you'd be multiplying -1 by your negative fraction. A negative times a negative makes a positive. So that would be the only answer that's a positive.

Answer:

No solution

Step-by-step explanation:

6x + 1 = 6x - 8

-6x        -6x

1 ≠ -8

Answer:

X = 14

give me brainliest please

Step-by-step explanation:

3x + 29 = 7x - 27

3x + 56 = 7x

56 = 4x

x = 14