Mrs. Ross needs to buy dish soap. There are four differently sized containers. Sort the brands from least to the greatest unit price. Round each unit price to the nearest thousandth.

Answer:

The answer to this question can be defined as follows:

i) [tex]\bold{p(x)= -5x^2+ 217x- 1,401} \\[/tex]

ii) x=22 units

iii) Maximum profit: 953.45

Step-by-step explanation:

Given value:

p(x) = 211 − 5x \\

C(x) = 1,401 + 16x

The formula for calculating the profit function value:

[tex]\to \bold{P(x)= xp(x) - C(x)}[/tex]

             [tex]= x(211-5x)- 1,401 + 16x\\\\= 211x -5x^2-1,401+16x\\\\= -5x^2+ 217x- 1,401 \\[/tex]

The formula for calculating the value for maximum profit:

[tex]p'(x) = - 10x + 217 =0[/tex]

[tex]217= 10x\\\\x= \frac{217}{10}\\\\x= 21.7[/tex]

So, the production level is 22 units

Maximum profit:

[tex]\to p(21.7)= - 5 (21.7)^2+217 (21.7) -1,401\\\\[/tex]

           [tex]=-5 (470.89) +217 (21.7) -1,401\\\\=-2354.45+ 4708.9-1,401\\\\= 953.45[/tex]

The maximum monthly revenue of WidgCo is; $489

price function; p(x) = 211 - 5x

Cost function; C(x) = 1401 + 16x

Revenue = number of units sold × price per unit

Thus;

R(x) = x(211 - 5x)

Expanding this gives;

R(x) = 211x - 5x²

R'(x) = 211 - 10x

At R'(x) = 0, we have;

211 - 10x = 0

x = 211/10

x = 21.1

x ≈ 21 widgets

Maximum Revenue is;

R(20) = 195(21) - 1401 - 5(21)²

R(20) = $489

Read more about revenue function at; https://brainly.com/question/6394733

Answer:

-40

Step-by-step explanation:

The original square has one verticles at the origin, which is at (0,0), and the opposite corner at (4,4), we draw the square show below:

The transformation is moving each verticles 2 unit left and 3 units down.

The tranformation rulw can be written as:

[tex]x = x - 2 \\ y = - 3[/tex]

From the graph shown above, we write the 4 cordinate pairs:

(0,0)

(4,0)

(4,4)

(0,4)

Aplying the transformation rule, we subtract 2 from x cordinate and subtract 3 from each y cordinate.

The new transformed cordinate are:

(0,0) >>>>>> (0-2, 0-3) >>>>>>> (-2, -3)

(4,0) >>>>>> (4-2, 0-3) >>>>>>> (2, -3)

(4,4) >>>>>> (4-2, 4-3) >>>>>>> (2, 1)

(0,4) >>>>>> (0-2, 4-3) >>>>>>> (-2, 1)

We name the first four cordinates A,B,C and D, respectively.

The graph ia shown below:

Answer:

Step-by-step explanation:

If for a cup of water, 1/3 cup of salt is needed, to get the number of gallons of water needed for 6 cups of salt, we will use the following equation;

1/3 cup of salts = 1 cup of water

6 cups of salt = x cups of water

cross multiply

1/3 * x= 6*1

x/3 = 6

multiply both sides by 3

x/3 * 3 = 6*3

x = 18

Hence 6 cups of salt will need 18 gallons of water

Answer:

110

Step-by-step explanation:

Answer:

i need this awser hurry hp an do it

Step-by-step explanation:

hellppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppp

Answer:

sss i think

Step-by-step explanation:

uh im not 100% sure

Answer:

Suv= About 22 miles

Truck= 28 miles

Step-by-step explanation:

To find the unit rate of both vehicles, divide the number by how many gallons of gas to see how many miles both vehicles drive on 1 gallon.

Answer:

p= 9

Step-by-step explanation:

you can rewrite the equation as 7p = 63 if that makes more sense for you

then divide both sides by 7

you get 9

Answer:

Slope: -3

Vertical Intercept (y-intercept): 15

Horizontal Intercept (x-intercept): 5

Step-by-step explanation:

[tex]\frac{3-9}{4-2}[/tex] = [tex]\frac{-6}{2}[/tex] = -3

then we put the slope into point slope form.

y-9=-3(x-2)

in order to find the x-intercept, we need to make the y value 0.

-9=-3(x-2) ⇒-9=-3x+6 then subtract 6 from both sides.

-15=-3x divide both sides by -3 to get 5, the x-intercept.

in order to find the y-intercept, we need to make the x value 0.

y-9=-3(-2) ⇒y-9=6 then add 9 to both sides.

y=15

Answer:

a) The probability of both chips being good = 0.48

b) The probability of both chips being bad = 0.24

c) The probability of one chip being good = 0.60

Step-by-step explanation:

Probability of first chip being good = 3/5 = 0.60

Probability of second chip being good = 4/5 = 0.80

Probability of first chip being bad = 0.40 or 2/5 (1 - 3/5)

Probability of second chip being good if the first is bad = 2/5 = 0.4

Therefore, the probability of it being bad = 0.60 (1 - 0.40)

For both chips to be good, the probability = 0.60 * 0.80 = 0.48

For both chips to be bad, the probability = 0.60 * 0.40 = 0.24

Answer:

93°F

Step-by-step explanation:

Difference between temperatures

= 63 -(- 30)

= 63 + 30

= 93°F

Answer:

I’m thinking it’s C, 119 degrees

Step-by-step explanation:

180 - 61 =119

Answer:

3 gallons

Step-by-step explanation:

1 gallon=16 cups

48÷16=3

3 gallons makes 48 cups

Answer:

(h o k)(3)=  3

(K o h)(-4b)= - 4b

Step-by-step explanation:

Composition of a function and its inverse function returns the input

(h o k)(3)=  3

(K o h)(-4b)= - 4b

Answer:

[tex](h\circ k)(3)=3[/tex]

[tex](k\circ h)(-4b)=-4b[/tex]

Step-by-step explanation:

Remember that for two functions to be inverses, the following must be true:

[tex]h(k(x))=k(h(x))=x[/tex]

Since we know they are indeed inverses, they are true.

So, whatever input we put in, we'll just get it back out again.

So, for our first problem:

[tex](h\circ k)(3)[/tex]

We can rewrite this as:

[tex]=h(k(3))[/tex]

We can imagine our x being 3 here.

Therefore, using the above identity, we can conclude that:

[tex]h(k(3))=3[/tex]

For our second example, the same thing:

[tex](k\circ h)(-4b)[/tex]

This is the same as saying:

[tex]k(h(-4b))[/tex]

Again, using the above property, we can imagine our x is -4b. So, this will be equivalent to:

[tex]k(h(-4b))=-4b[/tex]

And we're done!

Answer:

The answer is x<-2 :)

Step-by-step explanation:

Answer:

100,000

Step-by-step explanation:

Answer:

25 lawns

Step-by-step explanation:

The rate at which she mows lawns is 5 lawns for every eight hours spent mowing

To fiure out how many lawns she is able to mow at this rate you need to divide the common variables by each other, in this case it is hours

Divide 40 hours by 5 hours

40/8 = 5

Then multiply the amount of "sets" of eight hours by the amount of lawns she mows hourly

5 x 5 = 25

Answer:

i think its 2.97 x 106

Step-by-step explanation:

hope its right/helps

Answer:

hopefully this helpeddd

Step-by-step explanation:

Answer:

Step-by-step explanation:

165/3=55 feet

An integer that represents Camille's change in altitude in feet each time she descends = 55

"It is the ratio of the amount of change over that interval to the corresponding change in the values."

For given example,

elevation = 165

she rappels down the side of a boulder in three equal descents.

n = 3

So, change in altitude in feet each time she descends would be,

165/3 =  55  

Therefore, the integer that represents Camille's change in altitude in feet each time she descends = 55

Learn more about rate of change here:

https://brainly.com/question/13526771

#SPJ2

Answer:

False

Step-by-step explanation:

A rhombus is a quadrilateral with

1. all side length equal

2. opposite side parallel

3. opposite angles are congruent.

______________________________________

If there are two rhombus with same side length ,

conditions so that they must be always congruent.

1. Side length must be equal

2. corresponding angles to equal sides must also be equal.

It is possible that the sides of two rhombus will be same

but their angles can differ and hence the two rhombus may or may not be congruent.

Thus,

Two rhombuses with the same side lengths are always congruent

given statement is false

Answer:

10/25%

Step-by-step explanation:

Answer: 15.075%

Please mark me as Brainliest

Answer:

c im pretty sure but not 100%

Step-by-step explanation:

edge