Smith & Johnson produces a variety of men’s clothing. Their highest selling items are their fitted dress shirts. The profit earned from the sale of these shirts can be modeled by the expression -20x2+1,800x, where x is the price of one dress shirt. If p is the maximum profit earned from the sale of the dress shirts, write an equation that shows how the expression can be rewritten to model the price at which the shirts should be set in order to maximize profit.

Answers

Answer 1

Answer:

 P=x(-x+90)

Step-by-step explanation:

Step one:

given

Price

[tex]P= -20x^2+1800x[/tex]

where P is the maximum profit

           x is the price of one shirt

Step two:

To rewrite the expression let us first divide through by 20

[tex]P= \frac{-20x^2}{20} +\frac{1800x }{20}\\\\P=-x^2+90x[/tex]

Factoring x out we have

[tex]P=-x^2+90x\\\\P=x(-x+90)[/tex]

Hence the rewritten expression equation for the price is

P=x(-x+90)


Related Questions

What is the factor to this as a expression?

Answers

Answer:

The expression is not factorable with rational numbers

Step-by-step explanation:

Solve similar triangles (advanced) khan academy

Answers

Answer:

x = 4

Step-by-step explanation:

 1    =     2  

  3      2 + x

2 + x = 3 (2)

x = 6 - 2

x = 4

The triangle ΔABC is similar to the triangle ΔADE. Then the value of the variable 'x' will be 4 units.

What is the triangle?

The polygonal shape of a triangle has a number of sides and three independent variables. Angles in the triangle add up to 180°.

The ratio of the matching sides will remain constant if two triangles are comparable to one another.

The triangle ΔABC is similar to the triangle ΔADE. Then the ratio of the corresponding sides will be constant. Then the equation is given as,

2 / (2 + x) = 1 / 3

Simplify the equation, then we have

2 / (x + 2) = 1 / 3

6 = (x + 2)

x = 6 - 2

x = 4

The value of the variable 'x' will be 4 units.

More about the triangle link is given below.

https://brainly.com/question/25813512

#SPJ5

Find the area of the shape above. Will give brainliest answer.

Answers

Answer: 3/5

Step-by-step explanation:

A=a+b/2h

Since the bottom width = 4 and the top length =2 and the length = 5

2+4=6

2(5)=10

so 6/10 = 3/5

plz help what is 6 x 18 plz show work thank

Answers

Answer:

the answer is 108.

Step-by-step explanation:

6 x 18 = 108

6 x 18= 108

4
1 8
X 6
108

Hope it helps :)

Use the chart to help u ;-;"

Answers

It would be about 32,120 All you would do is take how much they eat a day then multiply by 365
The answer is 32120 pounds

Evaluate the function f(x) = 2x + 8 when x= 6 .

A 28
B 96
C None of the other answers are correct
D 16
E 20​

Answers

Answer:

-1 or f =   1.333333333 + 0.3333333333x

is what i got  its not an answer so im sorry

Step-by-step explanation:

Simplifying

f(6) = 2x + 8

Reorder the terms for easier multiplication:

6f = 2x + 8

Reorder the terms:

6f = 8 + 2x

Solving

6f = 8 + 2x

Solving for variable 'f'.

Move all terms containing f to the left, all other terms to the right.

Divide each side by '6'.

f = 1.333333333 + 0.3333333333x

Simplifying

f = 1.333333333 + 0.3333333333x

Answer:

Answer is 28

Step-by-step explanation:

Had the same question and answer was 28 you can thank me later :D

Which is the "The sum of 4 times a number and 7" as an algebraic expression?
A)4(x+7)
B)(4.7)+x
C)4-7+x
D)4x+7

Answers

The Answer is A because you are multiplying 4 into the a number (x) and 7 in the parentheses
ITs a because u is timing the number that is reduce

I NEED THIS ANSWER I DONT UNDERSTAND PLEASE HELP

Answers

Answer:

A. 904.3 cm³

Step-by-step explanation:

Radius of the ice cream cone (r) = 6 cm

Height of the ice cream cone (h) = 12 cm

Radius of the shape of hemisphere formed by the half scope of ice cream = 6 cm

Total volume of ice cream = volume of cone + volume of hemisphere

= [tex] (\frac{1}{3} \pi r^2 h) + (\frac{2}{3} \pi r^3) [/tex]

Plug in the values

[tex] (\frac{1}{3} \times 3.14 \times 6^2 \times 12) + (\frac{2}{3} \times 3.14 \times 6^3) [/tex]

[tex] (\frac{1}{3} \times 3.14 \times 36 \times 12) + (\frac{2}{3} \times 3.14 \times 216) [/tex]

[tex] = (1 \times 3.14 \times 12 \times 12) + (2 \times 3.14 \times 72) [/tex]

[tex] = (452.16) + (452.16) [/tex]

Total volume of ice cream = 904.3 cm³ (nearest tenth)

Someone plz help. I added a screenshot shot below

Answers

Answer:

Juan's Plan

y = .25x+12.95

where y is cost and x is minutes

Tiffany's Plan

y = .15x+14.95

where y is cost and x is minutes

...

Set the cost equal and find where x is the same for both.

.25x+12.95 = .15x+14.95

Group x variables to one side of the equation

.25x + 12.95 - 12.95 - .15x = .15x - .15x + 14.95 - 12.95

.25x - .15x = 14.95 - 12.95

.1x = 2

x=20 minutes

please help
asap
someone please help

the measure of angle of a quadrilateral is 50 120 and 100 degree. find the measure of fourth angle​

Answers

Answer:

The measure of the fourth angle is 90°.

Step-by-step explanation:

Let x be the measure of the fourth angle.

Given measures of the other angles : 50°,120° & 100°.

Knowledge Required :

The sum of all the interior angles of a quadrilateral is 360°.

Then,

50°+120°+100°+x=360°

⇒x = 360°-270°

⇒x = 90°

.°. x = 90°

Hence, the measure of the fourth angle is 90°.

What does W equal? I’m lost

Answers

Answer:

it looks like it would be 69% like the one below it

Step-by-step explanation:

plz help I'll give brainest

Answers

Answer:

B

Step-by-step explanation:

absolute value is 2½

hope it helped

Answer: B

Why?
The absolute value of a positive number is positive, the answer is 2 1/2

\angle a∠aangle, a and \angle b∠bangle, b are complementary angles. \angle a∠aangle, a measures 64^\circ64

64, degrees.

Answers

Answer:

If angle a and b are complementary angles, and angle a is 64, complementary equals 90, so 90-64= 26 degrees for angle b.

Angles ∠a and ∠b are complementary angles. Then the measure of the angle ∠b will be 64°.

What is an angle?

The inclination is the separation seen between planes or vectors that meet. Degrees are another way to indicate the slope. For a full rotation, the angle is 360°.

Complementary angle - Two angles are said to be complementary angles if their sum is 90 degrees.

The measure of the angle ∠a is 64°. And angles ∠a and ∠b are the complementary angles. Then the equation is given  as,

∠a + ∠b = 90°

64° + ∠b = 90°

∠b = 26°

The measure of the angle ∠b will be 64°.

More about the angled link is given below.

https://brainly.com/question/15767203

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Swanton Savings Bank pays 5.5% interest compounded quarterly on a regular savings account. John deposited $4400 in regular savings accounts for 1.5 years. How much interest did he earn?

Answers

Answer:

$375.71

Step-by-step explanation:

Given that:

Rate of interest = 5.5% compounded quarterly

Time = 1.5 years

Principal amount deposited in savings account = 1.5 years

To find:

Interest earned = ?

Solution:

Formula for amount with interest compounding quarterly:

[tex]A = P(1+\dfrac{r}{4\times 100})^{4t}[/tex]

Putting the values:

[tex]A = 4400(1+\dfrac{5.5}{4\times 100})^{4\times 1.5}\\\Rightarrow 4400\times 1.01375^6\\\Rightarrow 4400\times 1.085\\\Rightarrow \$ \bold{4775.71}[/tex]

Interest earned = Amount - Principal

Interest earned = 4775.70 - 4400 = $375.71

What is the value of the expression below?
8:2+6.5

Answers

Answer:

34

Step-by-step explanation:

8/2 = 4

6 times 5 = 30

4 + 30 = 34

ANSWER : 14.7
EXPLANATION :
8.2
6.5
——-
14.7

Identify the angles that each have a measure of 88

Answers

Answer: 86 and 4

Step-by-step explanation:

Hopefully this is the right answer!

Answer:

the answer for this question above is 1

Step-by-step explanation:

Solve the equation.
8-2x = -8x + 14
x = -1
x=-3:5
x=3/5
X= 1

Answers

X=1
8-2x=-8x+14
-2x=-8x+6
6x=6
x=1

()()PLZZ HELP MY PARENTS SAID I CANT CELEBRATE THANKSGIVING IF THI ISNT DONE PLZZZ HELP IM GIVING 25 DOLLAR AMAZON CARD TO WHOEVER HELP AND DOES ALL OF THESE + 100 POINTS +BRAINLIEST

Answers

Send me your email and I’ll email it to you.

Use the information to complete the task.
The ratio of fluid Ounces of milk to fluid Ounces of water in a soup recipe is 3 to 4.
Use the ratio to complete the table. Enter the answer in each box.
Milk (fluid Ounces) Water (fluid ounces)
9
28
27
60

Answers

Answer:

Step-by-step explanation:

3:4

9:12

28:37.3

27:36

60:80

Choose Yes or No to tell if the number 103 will make each equation true. 6.01 × □ = 601 No 0.305 × □ = 305 No 0.54 × □ = 540 No 0.097 × □ = 970 Yes

Answers

Answer:

Kindly check explanation

Step-by-step explanation:

Given the equations :

6.01 × □ = 601 No 0.305 × □ = 305 No 0.54 × □ = 540 No 0.097 × □ = 970 Yes

Will the number 103 will make each true?

601 / 6.01= 100 (No, not true)

305 / 0.305 = 1000 (No, not true)

540 / 0.54 = 100 (No, not true)

970 / 0.097 = 10000 (No, not true)

Hence, multiplying each of the equation above by 103 will not make any of the equations true.

The supply curve for steel is 90x−y=−50. The demand curve is 10x+y=200. x is quantity in thousands of metric tons y is price in dollars per metric ton What are the values for quantity and price at the intersection point of the two curves? To find the values, first use addition to combine the left sides and to combine the right sides of the two equations.

Answers

Answer:

The intersection point of the two curves is [tex](x,y) = \left(\frac{3}{2}\,kton.m, 185\,USD \right)[/tex].

Step-by-step explanation:

From statement we get the following equations:

Supply curve

[tex]90\cdot x - y = -50[/tex] (1)

Demand curve

[tex]10\cdot x + y = 200[/tex] (2)

Where:

[tex]x[/tex] - Quantity, measured in thousands of metric tons.

[tex]y[/tex] - Price, measured in US dollars per metric tons.

If we add both equations, then we find that quantity is:

[tex](90\cdot x -y )+(10\cdot x +y) = -50+200[/tex]

[tex]100\cdot x = 150[/tex]

[tex]x = \frac{3}{2}\,kton.m[/tex]

Then, we finally find the price by substituting on (2):

[tex]y = 200-10\cdot \left(\frac{3}{2} \right)[/tex]

[tex]y = 200-15[/tex]

[tex]y = 185\,USD[/tex]

The intersection point of the two curves is [tex](x,y) = \left(\frac{3}{2}\,kton.m, 185\,USD \right)[/tex].

What is 6000 times 8000 plus 3000-20

Answers

The answer is 65880000 and here are the steps

Answer:

48,002,980

Step-by-step explanation:

Have a good day

3. Nicole has $17.50. Her grandmother gave
her $53.12 for her birthday. She then buys
a computer game that costs $37.25. How
much money does she have left?
E

Answers

Answer:

33.37

Step-by-step explanation:

Answer:

Nicole has $33.37 left

Step-by-step explanation:

($17.50+$53.12)-$37.25=$70.62-$37.25=$33.37

The cost of 5 pounds of boudin is $26.What is the constant of proportionality that relates the cost in dollars,y, to the number of pounds of boudin,x?

Answers

Given :

The cost of 5 pounds of boudin is $26.

To Find :

The constant of proportionality that relates the cost in dollars y, to the number of pounds of boudin x .

Solution :

Price per boudin in terms of x and y is :

[tex]P=\dfrac{y}{x}[/tex]

Price per boudin by given data :

[tex]P=\dfrac{26}{5}[/tex]

So,

[tex]\dfrac{y}{x}=\dfrac{26}{5}\\\\y = \dfrac{26}{5}x[/tex]

Therefore, the constant of proportionality is [tex]\dfrac{26}{5}[/tex].

Hence, this is the required solution.

What are the ratios of sine, cosine, and tangent for
angle Y?
sin(Y) = XZ; cos(Y) = Y? ; tan(Y) = YZ
XY
XZ
XY
sin(Y) = XY; cos(Y) = XZ; tan(Y) = YZ
XZ
XY
XZ
O sin(Y) = x7; COS(Y) = x7; tan(Y) = {Z
sin(Y) = YZ ; cos(Y) = XZ; tan(Y) = XZ
XY
XY
YZ

Answers

Answer:

C!!!!

Step-by-step explanation:

Answer: The answer is C

Step-by-step explanation:

Got it write on edge

ellie is preheating her oven before using it to bake. the initial temperature of the oven is 65° and the temperature will increase the rate of 10° per minute after being turned on what is the temperature of the oven six minutes after being turned on what is the temperature of the oven t minutes after being turned on

Answers

Answer:

The temperature six minutes after being turned on is 125°.

T(t)= 65° + t * 10°

Step-by-step explanation:

Linear Equations

Ellie sets the temperature of the oven to 65°. The oven will increase the temperature at 10° per minute after being turned on.

After the first minute, the temperature of the oven is

65° + 10° = 75°

After the second minute, the temperature is:

65° + 2*10° = 65° + 20° = 85°

The same pattern goes on after minute 6, where the temperature is:

65° + 6*10° = 65° + 60° = 125°

The temperature six minutes after being turned on is 125°.

The general formula can be deducted for any time t as:

T(t)= 65° + t * 10°

PLEASE HELP ME I HAVE A SICKNESS CALLED IM DUMB AND I REALLY NEED HELP WITH THESE QUETIONS. IF YOU CAN ANSWER THEM ALL ILL GIVE BRAINLIEST AND 50 POINTS AND PLSS DONT DO IT FOR THE POINTS.PLSSS

Answers

Step-by-step explanation:

the answer in the image

a. {[(-15+5)×2+8]-32÷8}-(-7)

b. (5-2)³×2+[-4+(-7)]÷(-2+4)²

c. {-10-[12+(-3)²] + 3³}+3³}÷(-3)

I'll mark you brainliest if you solve these with explanation​

Answers

Answer:

Step-by-step explanation:

The answers are:

A)  {[(-15+5)×2+8]-32÷8}-(-7)

Calculate within parentheses: -16 - (-7)

Add and subtract (left to right): -16 - (-7) = -9

B) (5-2)³×2+[-4+(-7)]÷(-2+4)²

To solve this problem, you need to follow the steps of order of operations.

Calculate within parentheses: [tex]3^{3}[/tex] * 2 + [-4 + (-7)] ÷ (-2+4)²

Calculate within parentheses: [tex]3^{3}[/tex] *2 -11 ÷ (-2+4)²

Calculate within parentheses: 27 × 2 - 11 ÷ (-2+4)²

Calculate exponents: 27 × 2 -11 ÷ 4

Multiply and divide: 54 - 11 ÷ 4

Multiply and divide: 54 - [tex]\frac{11}{4}[/tex]

Add and Subtract:  [tex]\frac{205}{4}[/tex]

Convert improper fractions to mixed numbers: [tex]\frac{205}{4}[/tex] = [tex]51\frac{1}{4}[/tex]

C) {-10-[12+(-3)²] + 3³}+3³}÷(-3)

Calculate within parentheses: -4 ÷ (-3)

Multiply and divide:  [tex]\frac{-4}{(-3)}[/tex]

Simplify and convert improper fraction to a mixed number:

[tex]\frac{-4}{(-3)}[/tex] = [tex]\frac{4}{3}[/tex] = [tex]1\frac{1}{3}[/tex]

Hope this helped! If so, please mark brainliest.

guys what is this.......

Answers

Answer:

Domain are the x's in an ordered pair and it is usually the left side of diagrams. So everything on the left is a domain. So 5,10,15 is correct.

Step-by-step explanation:

Answer:

A.) 5, 10, 15

Step-by-step explanation:

The domain of a function is the set of all possible inputs for the function. For example, the domain of f(x)=x² is all real numbers, and the domain of g(x)=1/x is all real numbers except for x=0.

PLEASE HELP!!!!!!!!!!!
What value of x is in the solution set of 8x – 6 > 12 + 2x?
–1
0
3
5

Answers

Answer:yea its 3

Step-by-step explanation:

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