a company can model the profit it makes on selling an item at price x by using the expression 2000x - 10,500. a second item sold at the same price brings in a profit og 1850x - 11,600. write and simplify an expression that reflects the total profit from the sale of both items

Answers

Answer 1

Profits are simply the difference between the selling price and the cost price of an item.

The expression that represents the total profit is 3850x - 22100

The profit (p1) on the first item is given as:

[tex]p_1 = 2000x - 10500[/tex]

The profit (p2) on the second item is given as:

[tex]p_2 = 1850x - 11600[/tex]

So, the total profit (p) on the sales of both items is:

[tex]p = p_1 + p_2[/tex]

Substitute known values

[tex]p = 2000x - 10500 + 1850x - 11600[/tex]

Collect like terms

[tex]p = 2000x + 1850x- 10500 - 11600[/tex]

[tex]p = 3850x-22100[/tex]

Hence, the expression that represents the total profit is 3850x - 22100

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Related Questions

Justin's pays is represented by this line graph.


How much is Justin paid for one hour of work?

Answers

Answer:

He is been paid $7 per hour

Step-by-step explanation:

140dollars/ 20 hours

140/7 hourssssssszss

The following function represents the value of a car, in dollars, after x years: f(x) = 24,000(0. 92)x What does 0. 92 represent? The present value of the car The value of the car after x years The decrease in the value of the car, which is 92% The decrease in the value of the car, which is 8%.

Answers

0.92 represents the decrease in the value of the car which is 8% and this can be determined by using the given data.

Given :

The given function represents the value of a car, in dollars, after x years.[tex]f(x)=24000(0.92)x[/tex]

The following steps can be used in order to determine what does 0.92 represents:

Step 1 - Write the given function.

[tex]f(x)=24000(0.92)x[/tex]

Step 2 - In the given function $24000 represents the original value of the car.

Step 3 - According to the given data, 'x' represents the number of years.

Step 4 - Also in the given function, '0.92' represents the decrease in the value of the car which is 8%.

Therefore, the correct option is D).

For more information, refer to the link given below:

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Find an equation of the line described. Write the equation in slope-intercept form when possible.
Through (-8, -7), perpendicular to the y-axis
The equation of the line is y=
(Simplify your answer. Use integers or fractions for any numbers in the expression.)

Answers

Answer:

-7

Step-by-step explanation:

Because the step in puting slope is respectly (x,y)

Help help hep math math

Answers

[tex]300 {ft}^{2} [/tex]

Step-by-step explanation:

d=20

r=10

π=3

[tex]a = \pi{r}^{2} [/tex]

[tex]a = (3) {(10)}^{2} [/tex]

[tex]a = 300[/tex]

Answer:

A = 300 ft^2

Step-by-step explanation:

First we need to  find the radius

r = 1/2 d

The diameter is 20

r = 1/2(20) = 10

A =pi r^2

We are using 3 for pi

A = 3( 10)^2

A = 3 * 100

A = 300 ft^2

What is the difference? StartFraction x 5 Over x 2 EndFraction minus StartFraction x 1 Over x squared 2 x EndFraction StartFraction x squared 4 x minus 1 Over x (x 2) EndFraction StartFraction x squared 4 x 1 Over x (x 2) EndFraction StartFraction 4 Over negative 1 (x squared x minus 2) EndFraction StartFraction x squared 6 x 1 Over x (x 2) EndFraction.

Answers

The difference of the given fraction is expressed as [tex]\frac{x^2+4x-1}{x(x+2)}[/tex]

Given the expression:

[tex]\frac{x+5}{x+2}-\frac{x+1}{x^2+2x} \\[/tex]

Take the LCM of the fraction to have:

[tex]=\frac{x+5}{x+2}-\frac{x+1}{x(x+2)} \\=\frac{x(x+5)-(x+1)}{x(x+2)} \\=\frac{x^2+5x-x-1}{x(x+2)}\\=\frac{x^2+4x-1}{x(x+2)}[/tex]

Hence the difference of the given fraction is expressed as [tex]\frac{x^2+4x-1}{x(x+2)}[/tex]

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Answer:

its B. x^2+4x+1 / x(x+2)

Step-by-step explanation:

did it on edge

Which algebraic expression represents this phrase?
the product of 40 and the distance to the finish line
A. 40-d
B. 40+ d
C. 40xd
D. 40/d

Answers

Answer:

40-d

Step-by-step explanation:

3. Solve for side length BD
A
31
D
13 cm
I
47
C
B

Answers

Answer:

A

Step-by-step explanation:

this is beacuse of the ? mark!

Glad this will help

Answers please ASAP!!!

Answers

-1/-1=1
(-4/5)/-1= 4/5
(-2/5)/-1= 2/5
(4/5)/-1= -4/5
1/-1= -1

The solution is x < -2/5

the formula to find the curved surface area of the cone

Answers

Step-by-step explanation:

the formula for finding curved surface area of the cone is is pi ×r ×l

Find the equation of the line with slope of 2 passing through (3,1)

pplleeaassee

Answers

The equation of the line is y-2x+5=0 I believe. Good luck :)

Hep help help math math math

Answers

Answer:

525

Step-by-step explanation:

hope this helps

Answer:

526

Step-by-step explanation:

NEED HELP ASAP 50 POINTS PLEASE DO ALL OF THEM !!!!!in the item Bank are key terms and expressions, each of which is associated with one of the columns. Some terms may display additional information when you click on them. Drag and drop each item into the correct column. Order does not matter. 1 2 4 3 5/6 7 8 ITEM BANK Move to Bottom 1&8 267 3 &5 3 & 6 3 & 8 4 & 5 4 & 6 4&7 Alternate Interior Zs Corresponding Ls Alternate Exterior Zs Consecutive Interiors 1 & 5 2 & 6​

Answers

Answer:

the top two on the right hand corner go in coressponding the one by the middle of the top row gos in alternative int and the far left gos in alt in bottom two go in cosecutive the middle far right go alt int middle row far left consecutive interior left gos alt ext and middle row right gos alt

Step-by-step explanation:

Sorry if this is late lol. Hope this helps other people too though.

Alternative interior

4 & 6

3 & 5

Corresponding

1 & 5

4 & 7

2 & 6

3 & 8

Alternative

1 & 8

2 & 7

Consecutive

4 & 5

3 & 6

Which is 5log x - 6log (x - 8) written as a single logarithm?

Answers

Answer:

log[x⁵/(x-8)⁶]

Step-by-step explanation:

5log(x) - 6log(x-8)

log(x⁵) - log((x-8)⁶)

log[x⁵/(x-8)⁶]

Jeremiah and Cassie went to dinner. Jeremiah’s meal was $25 and Cassie’s was $23. They each got a Pepsi for an additional $3.25. If they planned to leave a 15% tip for their waiter, how much should they leave?

Answers

Answer:

8.175$

Step-by-step explanation:

If we do 23+25+(3.25)×2

The sum of all the bought

It will equal to 54.5

So if we do as the waiter planned

We must to 54.5×15%=8.175$

graph -1,-1 on this graph​

Answers

Answer:

so that's how you plot their intersection

Which expression is equivalent to − 7 x + 6 ( x − 8 2 ) − 2 ( x + 3 ) + 10 ? A. − 3 x + 40 B. − 15 x − 20 C. − 3 x − 20 D. 15 x + 40

Answers

Answer: D i think

Step-by-step explanation:

The equivalent expression of the expression − 7x + 6 (x − 8/2) − 2 (x + 3) + 10 will be − (3x + 20). Then the correct option is C.

What is an equivalent expression?

The equivalent is the expression that is in different forms but is equal to the same value.

The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.

The expression is given below.

⇒ − 7x + 6 (x − 8/2) − 2 (x + 3) + 10

Simplify the expression, then we have

⇒ − 7x + 6 (x − 8/2) − 2 (x + 3) + 10

⇒ − 7x + 6x − 24 − 2x − 6 + 10

⇒ − 3x − 20

⇒ − (3x + 20)

The equivalent expression of the expression − 7x + 6 (x − 8/2) − 2 (x + 3) + 10 will be − (3x + 20). Then the correct option is C.

More about the equivalent link is given below.

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#SPJ5

What is greater -5 1/2 or 6.5

Answers

Answer:

6.5

Step-by-step explanation:

We have: -5 1/2 = -11/2 ; 6.5 = 13/2
As we can see: -11/2 < 13/2
So -5 1/2 < 6.5

what equation can help you find out how many adults are there if tickets cost $9 for adults plus one child and $3 for children the total cost of the movie is $48​

Answers

Answer:

48 ÷12 will help you 48 is cost divided by total cost which means cost of one adult and one child

Find the equation of the normal to the curve in y=mx+b format : p(t) = 3t^2 - 8t + 3 at t = 3

Answers

Answer:

[tex]y=10x+24[/tex]

Step-by-step explanation:

Find the derivative of the function

[tex]p'(t)=\frac{d[p(t)]}{dt}=\frac{d}{dt}(3t^2-8t+3)=6t-8[/tex]

Determine the slope of p(t) at t=3:

[tex]p'(3)=6(3)-8=18-8=10[/tex]

Find p(3):

[tex]p(3)=3(3)^2-8(3)+3=3(9)-24+3=27-21=6[/tex]

Determine y-intercept:

[tex]y=mx+b[/tex]

[tex]6=10(3)+b[/tex]

[tex]6=30+b[/tex]

[tex]-24=b[/tex]

Final equation:

[tex]y=10x-24[/tex]

4x^2+8x-12 in vertex form

Answers

The answer in vertex form is y=4(x+1)^2 -16

Answer:

y = 4 (x + 1)² - 16

Step-by-step explanation:

Step 1: Equation at the end of step 1

(2²x²+8x)-12

Step 2:

Step 3: Pulling out like terms

Pull out like factors :

4x² + 8x - 12  =   4 • (x² + 2x - 3)

Trying to factor by splitting the middle term

Factoring  x²+ 2x - 3

The first term is,  x²

its coefficient is  1 .

The middle term is,  +2x  its coefficient is  2 .

The last term, "the constant", is  -3  

Step-1 : Multiply the coefficient of the first term by the constant   1 • -3 = -3  

Step-2 : Find two factors of  -3  whose sum equals the coefficient of the middle term, which is   2 .

   -3    +    1    =    -2  

     -1    +    3    =    2    That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  -1  and  3

x² - 1x + 3x - 3

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

                   x • (x-1)

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

                   3 • (x-1)

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

                   (x+3)  •  (x-1)

            Which is the desired factorization

Final result :

Final result :

 4 • (x + 3) • (x - 1)

Now convert to vertex form:

y = 4 (x + 1)² - 16

let f(x)=5x+5 find f(-1)

I need your help with this. please help me​

Answers

[tex]f(x) = 5x+5\\\\f(-1) = 5(-1) +5 = -5+5=0[/tex]

A carpet cleaning company charges $55 per hour. Is the relationship a proportional relationship? Explain. Complete the table.A. Yes it has a constant rate change.B. Yes it has a constant rate of change.C. No it does not have a constant rate of change.

Answers

Answer:C

Step-by-step explanation:

HELLPPPP PLEASEEEE IM GIVING 100 POINTS
which is the equation of the line in slope-intercept form

Enter your answer in the boxes
Y=__x+__

Answers

Answer:

Y= -5x + 6Y

Step-by-step explanation:

(-5, -2.5) to (1.5, 6)

the pentagons ABCDE and JKLMN are similar find the length x of JK

Answers

the second shape is double the first so you would do AB = 2 and then times by 2 as its double and you will get 4
answer = 4

Answer:

x = 4

Step-by-step explanation:

Since the figures are similar then the ratios of corresponding sides are in proportion, that is

[tex]\frac{JK}{AB}[/tex] = [tex]\frac{KL}{BC}[/tex] , substitute values

[tex]\frac{x}{2}[/tex] = [tex]\frac{8}{4}[/tex] = 2 ( multiply both sides by 2 to clear the fraction )

x = 4

Is this correct? And if it is, what's the solution?

Answers

Answer:

No the graph is not correct.  The point of intersection is (-3, 4)

Points on line y = x + 7  are  (-3, 4)  (0, 7) and (2, 9)

Points on line y = -1/3x +3  are (-3, 4) (0, 3) and (-6, 5)

Step-by-step explanation:

y = x + 7              do not change

y = -1/3x + 3        substitute into the top equation and solve for x

-1/3x + 3 = x + 7

       -3  =      -3    

-1/3x    =   x + 4  

- x      =   -x        

-1  1/3x =   4

 - 4/3x  = 4            Changed -1 1/3x to -4/3x

   x    =  4/ -4/3

  x =  -3

  y = x + 7

  y = -3 + 7

 y = 4                         Point of intersection is (-3, 4)  

 

Find the area of the trapezoid

Answers

Answer:

18000

Step-by-step explanation:

Given,

Back of lot of the trapezoid = 175

Front of lot of the trapezoid = 185

Length of lot of the trapezoid = 100

Therefore,

Area of the given trapezoid

[tex] = \frac{a + b}{2} c[/tex]

[On putting values]

[tex] = \frac{175 + 185}{2} \times 100[/tex]

[On Simplification]

= 360 × 50

[On multiplying]

= 18000

Hence,

The required area of the given trapezoid is 18000 (Ans)

Pls help!!!!!!!!!!!!!

Answers

Answer:

eat tacos until you bloat

Step-by-step explanation:

AHAHAHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHH MAMAMAMAMAMAA

Miles bought 3.75 acres of land in 1993. In 1997, he bought enough land to double his property. Then in 2001, Mis was forced to sell 2.9 acres of land. In 2005, he gave 25% of his remaining land to his daughter. If he did not buy or sell and more land, how much land does miles have now.

A. 2.6 acres C. 7.8 acres
B. 3.45 acres D. 1.15 acres

Answers

Answer: B: 3.45

Step-by-step explanation: First, we take 3.75 and double it, or multiply it by 2 giving us 7.5, then, we subtract 2.9 from 7.5, giving us 4.6. then we take away 25% of 4.6, or 1.15, giving us *3.45*.

Triangle DCB is congruent to triangle IGH what is an less than H

Answers

Answer:

no cuh

Step-by-step explanation:

9/5 - (-2 7/10) and write it as a fraction and simplest form

Answers

Answer:

probably 4.5 if im not mistaking

Answer:

4 1/2

Step-by-step explanation:

(-2 7/10) = (-2.7)

9/5 = 1.8

1.8 - (-2.7)

= 1.8 + 2.7

= 4.5 or 4 1/2

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