what's the answer? I don't get it

- 1/2 X + 3 = 1/4 (X-12)

Answer:

Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    7/n-(8/7)=0

Step by step solution :

STEP 1:

           8

Simplify   —

           7

The equation at the end of step

1:

 7    8

 — -  —  = 0

 n    7

STEP 2:

           7

Simplify   —

           n

The equation at the end of step

2:

 7    8

 — -  —  = 0

 n    7

STEP 3:

Calculating the Least Common Multiple :

3.1    Find the Least Common Multiple

     The left denominator is :       n

     The right denominator is :       7

       Number of times each prime factor

       appears in the factorization of:

Prime

Factor   Left

Denominator   Right

Denominator   L.C.M = Max

{Left,Right}

7 0 1 1

Product of all

Prime Factors  1 7 7

                 Number of times each Algebraic Factor

           appears in the factorization of:

   Algebraic    

   Factor      Left

Denominator   Right

Denominator   L.C.M = Max

{Left,Right}

n  1 0 1

     Least Common Multiple:

     7n

Calculating Multipliers :

3.2    Calculate multipliers for the two fractions

   Denote the Least Common Multiple by  L.C.M

   Denote the Left Multiplier by  Left_M

   Denote the Right Multiplier by  Right_M

   Denote the Left Denominator by  L_Deno

   Denote the Right Multiplier by  R_Deno

  Left_M = L.C.M / L_Deno = 7

  Right_M = L.C.M / R_Deno = n

Making Equivalent Fractions :

3.3      Rewrite the two fractions into equivalent fractions

Two fractions are called equivalent if they have the same numeric value.

For example :  1/2   and  2/4  are equivalent,  y/(y+1)2   and  (y2+y)/(y+1)3  are equivalent as well.

To calculate equivalent fraction, multiply the numerator of each fraction, by its respective Multiplier.

  L. Mult. • L. Num.      7 • 7

  ——————————————————  =   —————

        L.C.M              7n  

  R. Mult. • R. Num.      8 • n

  ——————————————————  =   —————

        L.C.M              7n  

Adding fractions that have a common denominator :

3.4       Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

7 • 7 - (8 • n)     49 - 8n

———————————————  =  ———————

      7n              7n  

The equation at the end of step

3

:

 49 - 8n

 ———————  = 0

   7n  

STEP

4

:

When a fraction equals zero :

4.1    When a fraction equals zero ...

Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.

Now, to get rid of the denominator, Tiger multiplies both sides of the equation by the denominator.

Here's how:

 49-8n

 ————— • 7n = 0 • 7n

  7n  

Now, on the left-hand side, the  7n  cancels out the denominator, while, on the right-hand side, zero times anything is still zero.

The equation now takes the shape :

  49-8n  = 0

Solving a Single Variable Equation:

4.2      Solve  :    -8n+49 = 0

Subtract  49  from both sides of the equation :

                     -8n = -49

Multiply both sides of the equation by (-1) :  8n = 49

Divide both sides of the equation by 8:

                    n = 49/8 = 6.125

One solution was found :

n = 49/8 = 6.125

Step-by-step explanation:

hope this helps...

The solution of equation [tex](7^2)^4=n^8[/tex] is n = 7

"It is a mathematical statement which consists of variables and constants, and some algebraic operations."

"It is a mathematical statement which consists of equal symbol between two mathematical statements."

For given question,

We have been given an equation [tex](7^2)^4=n^8[/tex]

Consider an algebraic expression on the left side of the above equation.

[tex](7^2)^4[/tex]

Using the properties of exponents we can write it as,

[tex](7^2)^4\\=7^{(2\times 4)}\\=7^8[/tex]

So, given equation becomes,

[tex]7^8=n^8[/tex]

Since power is same, base of above exponents is equal.

⇒ n = 7

Therefore, the solution of equation [tex](7^2)^4=n^8[/tex] is n = 7

Learn more about the exponents here:

https://brainly.com/question/12158740

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Answer:

D

Step-by-step explanation:

Well, I can tell the answer just by looking:

- The shape moved counterclockwise by one quadrant

- The shape got SMALLER

- Rotations go counterclockwise. So that's a 90 degree rotation.

- Shape gets smaller so it's dilated by a number less than 1. Dilate by 1/2

Answer:

39

Step-by-step explanation:

3(6+7)

=18+21

=39

or

3(6+7)

=3(13)

=39

Answer:

d

Step-by-step explanation:

^u^

The amount of units that must be sold to a number yields a maximum profit is 600. Hence 600 units will be the correct option.

To find the maxima of any function it needs to differentiate with respect to the dependent variable and equate with zero to get stationary points.

After achieving the stationary points it needs to put on the double derivative of that function to check whether it's maxima or minima.

If the double derivative got negative then it will be maxima.

Given that function

f(x) = -0.001(x-600)² + 90

By differentiation

[tex]$f'(x)$[/tex] = -0.002(x - 600) + 90

Now equate with zero

-0.002(x - 600) + 90 = 0

x - 600 = 0

x = 600

Now checking the x at double derivative

[tex]$f''(x)$[/tex] at x = 600 it is coming out to -0.002 which is negative Hence, the 600 units will be the correct answer.

For more about maxima

https://brainly.com/question/13995084

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Answer:

73.67

Step-by-step explanation:

Answer:

$27

Step-by-step explanation:

0.50 * 60 = 30

60 + 30 = 90

0.30 * 90 = 27

Answer:

m <5 = 65°

m<8 = 115°

Step-by-step explanation:

m<2= m<5 = 65° (vertically opposite angles are equal)

m<5 + m<4 = 180 (co-int angles, parallel lines)

65+ m<4 =180

m<4 = 115°

Therefore

m<4=m<8 = 115° (vertically opposite angles are equal)

Answer:

m<5 = 65 degrees  m<8 = 115 degrees

Step-by-step explanation:

m<2 = 65 degrees

m<2 = m<5 so

m<5 = 65 degrees

A line is 180 degrees, so

180 degrees - 65 degrees = 115 degrees

m<8 = 115 degrees

Answer:

30°

Step-by-step explanation:

It tells us that MFE is equal to (x + 6)° so we need to find x

The angle accross from MFE is RFT. These angles are congruent, because they are a vertical pair. So RFT is also equal to (x + 6)°

The angle RFT and PFR combined form a right angle. This means that RFT + PFR = 90°.

They told us that PFR = (3x - 4)°

so that means that (x + 6) + (3x - 4) = 90°

Knowing that we can just solve the equation by combining like terms

4x + 2 = 90

      Subtract two from both sides

4x = 88

       And then divide by 4

x = 22

Now we can plug in 22 in the original equation to find MFE

22 + 6 = 30

so MFE = 30°

Answer:

The answer is 5f + 6g +12

Step-by-step explanation:

Answer:

5f + 6g +12

Step-by-step explanation:

Simplify the expression.

Step-by-step explanation:

The initial level is 30.

let the upward travel be +X and downward travel be -Y.

so the expression for her current level be ,

30+X-Y = 30+6-14= 22.

22 is her current level.

Answer:

See this attachment...

Answer:

192

Step-by-step explanation:

8²+x²=16²

x=y

[tex]x = \sqrt{192} [/tex]

Answer:

13 hours

Step-by-step explanation:

148.5/18=8.25

107.25/8.25=13

Answer:

A- (-2,-2)

Step-by-step explanation:

If we move the point 3 right, then we add 3 to the x-coordinate and get -2. If we move down 4, we are subtracting 4 from y-coordinate and get -2. So, our coordinate would be (-2,-2).

Hope this helped.

Answer:

- 1,503,050

Step-by-step explanation:

Given that the sum of arithmetic sequence =

n/2[2a + (n-1)d]

Where;

n = 575

a = -4910

d = a i - a i-1  = 8

Substituting values;

575/2 [2(-4910) + (575 -1) 8]

575/2  [(-9820) + 4592]

=  - 1,503,050

Answer:

C should be the right one

Answer:

Write the points where the graphs of the equations intersect the x-axis

Step-by-step explanation:

An unknown number y is 10 more than an unknown number x. The number y is also x less than 3

9514 1404 393

Answer:

Step-by-step explanation:

Each term is the previous term with the current term number added. The 5th term will be 5 + (4th term) = 5 + 10 = 15.

The next term is 15.

_____

The sequence of triangular numbers is given by the explicit formula ...

   an = n(n+1)/2

__

Finding the Formula

The sequence of first differences is ...

  3 -1 = 2

  6 -3 = 3

  10 -6 = 4

And the sequence of second differences is ...

  3 -2 = 1

  4 -3 = 1

These are constant, indicating the sequence is described by a polynomial function of 2nd degree.

There are several ways to find the coefficients of the quadratic function. One is to solve for them using a system of equations.

n = 1

  a1 = 1 = a(1)^2 +b(1) + c

n = 2

  a2 = 3 = a(2)^2 + b(2) +c

n = 3

  a3 = 6 = a(3)^2 +b(3) +c

To solve, we can subtract each equation from the next:

  a2 -a1 = (3) -(1) = a(4 -1) +b(2 -1) +c(1 -1)

  2 = 3a +b

and

  a3 -a2 = (6) -(3) = a(9 -4) +b(3 -2) +c(1 -1)

  3 = 5a +b

Now we can subtract the first of these equation from the second:

  (3) -(2) = a(5 -3) +b(1 -1)   ⇒   1 = 2a   ⇒   a = 1/2

Then ...

  2 = 3(1/2) +b

  1/2 = b

  1 = a + b + c   ⇒   1 = 1/2 + 1/2 + c   ⇒   c = 0

So, the quadratic function describing the sequence of triangular numbers is ...

  an = (1/2)(n^2 +n)

  an = n(n+1)/2

Answer:

The answer is 90 degrees.

Step-by-step explanation:

If you want an explination, I'm more than happy to explain.

Answer:x=90

Step-by-step explanation:

90

Answer:

x^2 + 3x

Step-by-step explanation:

just add like terms so 3x^2 - 2x^2 = x^2 and 11x - 8x = 3x

Answer:

the process of being eroded by natural agents such as wind, water, ice, etc.

this process moves sediment or material from one place to another

Step-by-step explanation:

Answer:

Complementary

x = 55

Step-by-step explanation:

Complementary angles add up to 90°, while supplementary angles add up to 180°.

In this situation, the two angles add up to 90° (the little box means that an angle is a 90° angle) So, the angles are complementary.

Now, we can write this equation.

x + x - 20 = 90

Simplify.

2x - 20 = 90

2x = 110

x = 55

Just in case, let's check the answer.

Substitute x = 55 into (x + x - 20 = 90)

55 + 55 - 20 = 90

110 - 20 = 90

90 = 90

This is true, so x = 55 is correct.

I hope this helps! Feel free to ask any questions!

Answer:

27

Step-by-step explanation:

You can easily find it by counting how much line are between point and and point B

there are 27 lines (including the line on point B)

Answer:

equation: 55 + (2x + 3) + 90 = 180

55 + 2x + 3 + 90 = 180

2x + 148 = 180

2x = 32

x = 16

Answer:

55 + 50 + 2x+3 + 2x+8 = 180

x = 16

Step-by-step explanation:

55 + 50 + 2x+3 + 2x+8 = 180

113 + 4x = 180

4x = 64

x = 16

Answer:

X=7 X=-1

Step-by-step explanation:

4(x^2 -6x -7) you saw that the common denominator was 4 so you divided everything by it.

(X-7)(X+1) Two numbers that multiplied give-7 and added -6 are those

X=7 X=1 equating those parenthesis to 0 gives you that