Could someone show me the streamline for this problem? The answer is 909, but I'd like to know how

1000-100+10-1

Answer:

$1343

Step-by-step explanation:

Mr. Quick bought a new computer system. The regular price was $1,580, but he got a 15% discount. How much did he actually pay?

You need to turn 15% into a decimal.

Move the decimal point to the left 2 spaces.

15 ---> 1.5 ---> 0.15

Now multiply 0.15 by $1,580.

0.15 × $1,580

Which is $237.

Now subtract $1580 - $237.

Which is $1343.

Answer:

$1580*15/100=$237that is discount rate.

$1580-237=$1343 actually pay

Answer:

2.64

Step-by-step explanation:

looked it up

Answer:

66/25 or 2.64

Step-by-step explanation:

times 25 and x to get 25x and then 25 and 12 to get -300, put it togather as an equation to get 25x-300= -234. Next move postive 300 to -234 do the math and get 66=25x. last divied 66 and 25 to get 2.64 or in a fraction 66/25

Answer:

X=4 or X=-2

Step-by-step explanation:

Step-1 : Multiply the coefficient of the first term by the constant   1 • -8 = -8  

Step-2 : Find two factors of  -8  whose sum equals the coefficient of the middle term, which is   -2 .

     -8    +    1    =    -7  

     -4    +    2    =    -2    That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  -4  and  2  

                    x2 - 4x + 2x - 8

Step-4 : Add up the first 2 terms, pulling out like factors :

                   x • (x-4)

             Add up the last 2 terms, pulling out common factors :

                   2 • (x-4)

Step-5 : Add up the four terms of step 4 :

                   (x+2)  •  (x-4)

            Which is the desired factorization

Equation at the end of step

1

:

 (x + 2) • (x - 4)  = 0  

STEP

2

:

Theory - Roots of a product

2.1    A product of several terms equals zero.  

When a product of two or more terms equals zero, then at least one of the terms must be zero.  

We shall now solve each term = 0 separately  

In other words, we are going to solve as many equations as there are terms in the product  

Any solution of term = 0 solves product = 0 as well.

Solving a Single Variable Equation:

2.2      Solve  :    x+2 = 0  

Subtract  2  from both sides of the equation :  

                     x = -2

Solving a Single Variable Equation:

2.3      Solve  :    x-4 = 0  

Add  4  to both sides of the equation :  

                     x = 4

Supplement : Solving Quadratic Equation Directly

Solving    x2-2x-8  = 0   directly  

Earlier we factored this polynomial by splitting the middle term. let us now solve the equation by Completing The Square and by using the Quadratic Formula

Parabola, Finding the Vertex:

3.1      Find the Vertex of   y = x2-2x-8

Parabolas have a highest or a lowest point called the Vertex .   Our parabola opens up and accordingly has a lowest point (AKA absolute minimum) .   We know this even before plotting  "y"  because the coefficient of the first term, 1 , is positive (greater than zero).  

Each parabola has a vertical line of symmetry that passes through its vertex. Because of this symmetry, the line of symmetry would, for example, pass through the midpoint of the two  x -intercepts (roots or solutions) of the parabola. That is, if the parabola has indeed two real solutions.  

Parabolas can model many real life situations, such as the height above ground, of an object thrown upward, after some period of time. The vertex of the parabola can provide us with information, such as the maximum height that object, thrown upwards, can reach. For this reason we want to be able to find the coordinates of the vertex.  

For any parabola,Ax2+Bx+C,the  x -coordinate of the vertex is given by  -B/(2A) . In our case the  x  coordinate is   1.0000  

Plugging into the parabola formula   1.0000  for  x  we can calculate the  y -coordinate :  

 y = 1.0 * 1.00 * 1.00 - 2.0 * 1.00 - 8.0

or   y = -9.000

Parabola, Graphing Vertex and X-Intercepts :

Root plot for :  y = x2-2x-8

Axis of Symmetry (dashed)  {x}={ 1.00}  

Vertex at  {x,y} = { 1.00,-9.00}  

x -Intercepts (Roots) :

Root 1 at  {x,y} = {-2.00, 0.00}  

Root 2 at  {x,y} = { 4.00, 0.00}  

Solve Quadratic Equation by Completing The Square

3.2     Solving   x2-2x-8 = 0 by Completing The Square .

Add  8  to both side of the equation :

  x2-2x = 8

Now the clever bit: Take the coefficient of  x , which is  2 , divide by two, giving  1 , and finally square it giving  1  

Add  1  to both sides of the equation :

 On the right hand side we have :

  8  +  1    or,  (8/1)+(1/1)  

 The common denominator of the two fractions is  1   Adding  (8/1)+(1/1)  gives  9/1  

 So adding to both sides we finally get :

  x2-2x+1 = 9

Adding  1  has completed the left hand side into a perfect square :

  x2-2x+1  =

  (x-1) • (x-1)  =

 (x-1)2

Things which are equal to the same thing are also equal to one another. Since

  x2-2x+1 = 9 and

  x2-2x+1 = (x-1)2

then, according to the law of transitivity,

  (x-1)2 = 9

We'll refer to this Equation as  Eq. #3.2.1  

The Square Root Principle says that When two things are equal, their square roots are equal.

Note that the square root of

  (x-1)2   is

  (x-1)2/2 =

 (x-1)1 =

  x-1

Now, applying the Square Root Principle to  Eq. #3.2.1  we get:

  x-1 = √ 9

Add  1  to both sides to obtain:

  x = 1 + √ 9

Since a square root has two values, one positive and the other negative

  x2 - 2x - 8 = 0

  has two solutions:

 x = 1 + √ 9

  or

 x = 1 - √ 9

Solve Quadratic Equation using the Quadratic Formula

3.3     Solving    x2-2x-8 = 0 by the Quadratic Formula .

According to the Quadratic Formula,  x  , the solution for   Ax2+Bx+C  = 0  , where  A, B  and  C  are numbers, often called coefficients, is given by :

           - B  ±  √ B2-4AC

 x =   ————————

                     2A

 In our case,  A   =     1

                     B   =    -2

                     C   =   -8

Accordingly,  B2  -  4AC   =

                    4 - (-32) =

                    36

Applying the quadratic formula :

              2 ± √ 36

  x  =    —————

                   2

Can  √ 36 be simplified ?

Yes!   The prime factorization of  36   is

  2•2•3•3  

√ 36   =  √ 2•2•3•3   =2•3•√ 1   =

               ±  6 • √ 1   =

               ±  6

So now we are looking at:

          x  =  ( 2 ± 6) / 2

Two real solutions:

x =(2+√36)/2=1+3= 4.000

or:

x =(2-√36)/2=1-3= -2.000

Answer:

2+2=4

Step-by-step explanation:

Answer:

20/4 -3, which equals 5-3, or 2

Step-by-step explanation:

3 less than= -3

the quotient of a number y and 4, with y being 20= 20/4

Divide: 20/4 = 5

combine the terms, either 5-3 or -3 +5, you'll end up with 2 either way

Answer:

The unit rate for the first bag is about 2.50 and for the second bag it is about 2.42. The second bag is the better bag because it has a smaller unit rate.

Step-by-step explanation:

Divide the amount of money by the weight of each bag to find the unit rate.

A i do believe

Step-by-step explanation:

Answer:

a car accelerating down a hill

Step-by-step explanation:

because if an object is moving at a speed, then it has kinetic energy because its moving, not potential energy. potential energy is strored energy meaning that it has the potential to move.

Answer:

-5 , 8 , 48 , -6

Step-by-step explanation:

-7- -2 = -5

This complies with the rule that 2 negatives make a positive.

12 + (-4) = 8

You just ignore the brackets.

-8(-6) = 48

The -8 next to the bracket with no symbol means you need to multiply, and again 2 negatives make a positive.

18/-3 = -6

As the 18 is not negative, but -3 is, the answer is also a negative because one negative and one positive make a negative!

Hope this helps and have a good day!

Answer:

-5 x -2 = 10

Step-by-step explanation:

- x - = +

5 x 2 = 10

Answer:

ok so i think it is 5/9

Step-by-step explanation:

both equal 0.5 in decimal point

Answer:

The last option is correct

Step-by-step explanation:

Eg: i take  -4/9

If your answer id 4/-9 , the negative sign will always go on the top so answer will be -4/9

Thus its similar

Hope you understood

if not I will explain again !

Your welcome !

Answer:

Your answer is $52.2 :)

Step-by-step explanation:

First, we need to find the sale, which is 40% of $70, we can do that by doing this equation: (40% x $70) / 100 = 28.  Now we minus 28 from 70 in this equation: 70 - 28 = 42.  Now we do tax, which is 10.1% of $42.  We can do the same equation, but with the new information, so the new equation is ($42 x %10.1) / 100 which is 4.2042, and since we are talking money, we can make 4.2042, 4.2 (Rounded 0.042 down). Lastly, we add $4.2 (Tax) and $48 (Discounted price) to get $52.2. You're welcome :D

Answer:   1. 447

                2. 572

                3. 257

Step-by-step explanation:

a  y=x-4 if x>4

b INCOMPLETE

c 3r-15 is r<5

Answer: I'm not sure if anyone else has answered but ~ The Answer is 4* 14

Hoped this helped i'm learning the same thing

Step-by-step explanation:

Answer:

±16

Step-by-step explanation:

the square root of 256 is positive or negative 16! (if it only lets you put one answer, put positive 16).

Answer:

16

Step-by-step explanation:

16*16=256

Answer:

umm

Step-by-step explanation:

Answer:

b = 1/2m

Step-by-step explanation:

Let:

The prompt tells us that Beth is half as old as Meg. Therefore, mathematically, b = 1/2m.

Answer:

y + 7 = (-14/17)(x - 8)

Step-by-step explanation:

We want the equation of this line in the point-slope form y - k = m(x - h).

We are given two points (8, -7) and (-9, 7), and may arbitrarily choose one of them to serve as the point (h, k) in the point-slope form shown above.  Then the other point is represented by (x, y) in the point slope form shown above:

Let (h, k) be 8, -7) and let (x, y) be (-9, 7).  Then,  y - k = m(x - h) becomes:

7 - (-7) = m(-9 - 8), so that 14 = m(-17), and the slope is thus m = -14/17

The desired equation is then y + 7 = (-14/17)(x - 8) (which is in point-slope form).  

Another way to get this result would be to find m in the usual way:

          rise           14

m = ------------- = --------- = -14/17 (same as before).

           run           -17

Answer:

Step-by-step explanation:

Answer:

B. y = 1/2x + 1

Step-by-step explanation:

y is added up by 1, while it is split 1/2 from x.

hope this helps.

Answer:

y=60

Step-by-step explanation:

196 - 16 = 180

7 + 5 = 12

12 + 3y = 15y

2 * 15y = 30y

180 ÷ 30 = 60

y = 60

Answer:

y=26

Step-by-step explanation:

Let's solve your equation step-by-step.

2(3y+7+5)=196-16

Step 1: Simplify both sides of the equation.

2(3y+7+5)=196-16

(2)(3y)+(2)(7)+(2)(5)=196+-16 (Distribute)

6y+14+10=196+-16

(6y)+(14+10)=(196=-16) (Combine Like Terms)

6y+24=180

Step 2: Subtract 24 from both sides.

6y+24-24=180-24

6y=156

Step 3: Divide both sides by 6.

6y/6 = 156/6

y=26

Answer:

Step-by-step explanation:

y=mx+b       b= y-intercept   y-intercept=where the line crosses the y-axis    m=slope         slope== rise/run or slope formula, m=y2-y1/x2-x1

For example, number 1's slope is 5/3.  On a graph, you would go up 5 (not in block, but in numerical value) and right 3.   The y-intercept is -2.  This is where your line starts on the graph.

sorry, cant help ya there buddy

Answer : The correct answer is 8p2 - 6p

Answer:

$145.80

Step-by-step explanation:

The original cost of the product was $90.  There was a 162% markup.  In order to get the selling price, I like to take away 100 percent and simply add original price+(original price*62%).  After taking away 100%, I am left with 62%.  I then multiply the original cost ($90) by the remaining percent (62%), getting 55.8.  Following the steps that I originally wrote, I now add 90 to 55.8, getting 145.8.

Answer:$145.80

Step-by-step explanation:

Answer

21

Step-by-step explanation:

Answer:

this doesn't even make any sense

Step-by-step explanation:

both -5.4 and 5.4 go off the m.f grid