Emilio is helping pass out modeling clay in art class. He takes three 2-pound bricks of clay
from the supply shelf. His job is to give each student 4 ounces of clay, but he runs out before
he can finish. If his class has a total of 28 students, how many more ounces of clay does he
need?

The bus tickets and price are illustrations of a quadratic function, and the maximum revenue the bus company can earn is $5107.6

The variable representation used in this scenario are:

The price is given as:

Price = $156

The number of seats is given as:

Seats = 56

When the bus is at half capacity, we have:

Seats = 28

As the price decreases by $5, the rider gains 2 more.

So, the revenue equation is:

y = (156 - 5x)(28 + 2x)

Expand

y = 4368 - 140x + 312x - 10x²

Differentiate

y' = 0 - 140 + 312 - 20x

Evaluate the sum

y' = 172 - 20x

Equate to 0

172 - 20x =0

Add 20x to both sides

20x = 172

Divide both sides by 20

x = 8.6

Substitute x = 8.6 in y = (156 - 5x)(28 + 2x)

y = (156 - 5 * 8.6)(28 + 2 * 8.6)

Evaluate

y = 5107.6

Hence, the maximum revenue the bus company can earn is $5107.6

#SPJ1

Read more about revenue equations at:

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Answer:

X=6

Step-by-step explanation:

1. 6(2x-10)+22=3x+16

2. 12x-60+22=3x+16

Is that the answer you are looking for

Answer:

the answer is 1

Step-by-step explanation:

ok

Answer:xponential function has an initial value of 500 and a decay rate of 15%. Compare the average rate of change for the interval 0

Step-by-step explanation:

Answer:

CA ≈ 10 cm

Step-by-step explanation:

Since we know 2 sides and 1 angle we can use the Law of Cosine to find the third side.

CA = √(AB²+CB²- 2· AB· CB· cos 50°)

CA = √(7² +13² -2·7·13· cos 50°)

CA = √(49 +169 -116.987345)

CA = √101.012655

CA = 10.0505

CA ≈ 10 cm

Usando un sistema de ecuaciones, se encuentra que ese número es n = -3 o n = 3.

Un sistema de ecuaciones es cuando dos o más variables están relacionadas y las ecuaciones se construyen para encontrar los valores de cada variable.

En este problema, la variable es el número n.

El quintuple de un número cuadrado disminuido en 9 da como resultado 36, o sea, la ecuación es:

5n² - 9 = 36

5n² = 45

n² = 9

n = -3 o n = 3.

Puede-se aprendes mas a cerca de sistema de ecuaciones en https://brainly.com/question/27305333

Answer:

there all below

Step-by-step explanation:

Mean: 51.5

There is no mode so you would put "No mode.''

Median: 51

hope this helps <33

Answer:

6/1

Step-by-step explanation:

The reciprocal is always the opposite. for example, the reciprocal of 9/10 is 10/9

Answer:

6 or 6/1

Step-by-step explanation:

The opposite reciprocal is when a fraction is flipped upside down (the reciprocal part) and with the signs changed (the opposite).

For -1/6

[tex]\frac{-1}{6} < ==flip\ the\ fraction\\\\\frac{6}{-1}\\\\ -6 < ==change\ the\ sign\\\\6[/tex]

Hope this helps!

Answer:

£225

Step-by-step explanation:

12.5% × £200

>> £25

Since we want to increase £200 by 12.5%, then we will add the increment to the £200 to get;

£200 + £25 = £225

Answer: £25

Step-by-step explanation: Take £200 and multiply by 12.5% and you get  £25. I hope this helped!

Answer:

-3

Step-by-step explanation:

The general rule can be found by noticing patterns such as the numbers get smaller by 3 from the first term 3 towards the next 0 and towards next one -3

term 1: 3

term 2 : 3 -3 = 0

term 3 : 0 -3 = -3

The general rule of 3;0;-3​ is subtract 3

Answer:

[tex]25\sqrt{3} \ [units^2].[/tex]

Step-by-step explanation:

1) one side of the given rectangle can be calculated as:

10*sin30°=5 [units].

2) another side of the given rectangle can be calculated as:

10*cos30°=5√3 [units].

3) finally, the area required is:

5*5√3=25√3 [units²].

Answer:

In the survey, 123 students picked math as their favorite subject.

Step-by-step explanation:

Answer:123 was chosen by the students since it is their favorite subject.

Answer:

A = 0.43      B = 0.49

Step-by-step explanation:

For A: The options are between 0.40 and 0.45. A is plotted on the 3rd line from 0.40. That makes the answer 0.43.

For B: It is in the middle of 0.45 and 0.50. It is plotted on the 4th line from 0.45, which is 0.49.

A = 0.43; B = 0.49

hope it helps...!!!

Answer:

Check the image That’s I provided

Answer:

11 + 12 = 23

Step-by-step explanation:

Answer:

Rebecca did a shorter run then Stacy

Rebecca ran a longer distance than Josie

Josie ran a longer distance than Finn

Step-by-step explanation:

if Rebecca’s distance was shorter than Stacy’s and longer than Josie, then Stacy’s running distance would have to be more that Josie’s and Finn’s.

1.Stacy

2.Rebecca

3.Josie

4.Finn

The solution of the linear equation is k =0.5.

An equation is a mathematical statement, which has an equal sign (=) between the algebraic expression.

Linear equations are the equations of degree 1.

The given linear equation is;

[tex]\rm 6k + 10.5 = 3k + 12[/tex]

The value of k is determined in the following steps given below.

[tex]\rm 6k + 10.5 = 3k + 12\\\\6k-3k=12-10.5\\\\3k = 1.5\\\\k = \dfrac{1.5}{3}\\\\k = 0.5[/tex]

Hence, the solution of the linear equation is k =0.5.

To know more about linear equations click the link given below.

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Answer: [tex](x-7)^2+(y+2)^2=11^2[/tex] ; [tex]A=121\pi[/tex]

Step-by-step explanation:

I have never done a problem like this, so this is my first time attempting it.

The standard form for the equation of a circle is:

[tex](x-a)^2+(y-b)^2=r^2[/tex]

Begin by grouping the 'x' terms and 'y' terms:

[tex](x^2-14x)+(y^2+4y-68)=0[/tex]

Complete the square for the second polynomial:

[tex](\frac{b}{2} )^2=(\frac{4}{2} )^2=4[/tex]

[tex](x^2-14x)+(y^2+4y+4-4-68)=0[/tex]

[tex](x^2-14x)+(y^2+4y+4)-4-68=0[/tex]

[tex](x^2-14x)+(y^2+4y+4)-72=0[/tex]

[tex](x^2-14x)+(y+2)^2-72=0[/tex]

Do the exact same process with the other polynomial:

[tex](x^2-14x-72)+(y+2)^2=0[/tex]

Complete the square:

[tex](\frac{14}{2} )^2=49[/tex]

[tex](x^2-14x+49-49-72)+(y+2)^2=0[/tex]

[tex](x^2-14x+49)-49-72+(y+2)^2=0[/tex]

[tex](x^2-14x+49)-121+(y+2)^2=0[/tex]

[tex](x-7)^2-121+(y+2)^2=0[/tex]

Bring the 121 to the other side to get:

[tex](x-7)^2+(y+2)^2=121[/tex]

[tex](x-7)^2+(y+2)^2=11^2[/tex]

The above expression is the equation of our circle in standard form. It is centered at the coordinates (7, -2) and has a radius of 11 units. The area of a circle if given by:

[tex]A=\pi r^2=121\pi[/tex]

Answer:

a

Step-by-step explanation:

a is 8 .52 so its to low and the change was 8.72

Answer:

B. origin

Step-by-step explanation:

It is usually right at the center of a graph, the point (0,0) It is where you start from to graph points.

[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]

Number of blocks having volume of 2 m³ in the wall ~

[tex]\qquad \tt \dashrightarrow \: \dfrac{600}{2} [/tex]

[tex]\qquad \tt \dashrightarrow \:300 \: \: blocks[/tex]

Step-by-step explanation:

No of blocks will a wall will have =

Volume of wall / volume of one block

putting the known values ,

No of blocks = 600m³/2m³

No. Of blocks = 300 blocks

Answer:

476.37

Step-by-step explanation:

$12.98/hr at KF (Key Food)
$x/36.7, so look at it fractionally.
36.7x12.98
This wil be 476.366
Rounding to the nearest hundredth is 2 decimal places (tenths, hundredths).
476.366 will be 476.37

Answer:

[tex]\boxed{\tt x=45^o}[/tex]

Step-by-step explanation:

The two angles together are supplementary, which means that they add up to 180°

[tex]\tt (2x+45)^o+x^o=180^o[/tex]

Now, let's solve for x:-

[tex]\tt 2x+45+x^o=180^o[/tex]

[tex]\tt 3x+45^o=180[/tex]

[tex]\tt 3x=135^o[/tex]

[tex]\tt x=45^o[/tex]

_____________________

Answer:

6.5 inches

Step-by-step explanation:

Finding the height of the cylinder

Volume = 936 π in³

diameter = 24 inches

r = 24 ÷ 2

r = 12 inches

Volume = 936π

πr²h      = 936π

         [tex]\bf \sf h= \dfrac{936 \pi }{r^2*\pi }\\\\h = \dfrac{936 * \pi}{12*12* \pi}\\\\h = \dfrac{936}{12*12}\\\\\\\boxed{height = 6.5 \ inches}[/tex]

Answer:

6.5 i got 100

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

X power y would be written as 2^0, and any number to the power of 0 is equal to 1.

1

I didn't know this was possible so I looked it up :)

Have an amazing day/afternoon/night! <3

The equation that shows Courtney rode 180 mlles more than Breanna rode is c = b + 180

An equation is an expression that shows the relationship between two or more numbers and variables.

Let b represent the number of miles rode by Breanna and c represent that of Courtney.

c = b + 180

The equation that shows Courtney rode 180 mlles more than Breanna rode is c = b + 180

Find out more on equation at: https://brainly.com/question/2972832

Answer:

The slope of the line is 1

In point-slope form:

y = x + 1

Answer: 1

Step-by-step explanation: the rise is 1 and the run is also 1 so 1/1 equals 1

Answer:

16

Step-by-step explanation:

Lets first solve the right side :)

(3^5)^4 -> 3^20 = 3486784401

Now lets solve the left side :)

When we multiply the bases to exponets, we add the exponets together :)

Lets see what numbers equal 20 when added :)

4 + 4 = 8 Nope!!

4 + 5 = 9 Not at all!!

4 + 20 = 24 Too big!!

4 + 16 = 20 Perfect!!

Have an amazing day!!

Please rate and mark brainliest!!

Answer:

The answer you are looking for is in D- 16

Explanation:

Included in attachment

Answer:

1. x - 12 = 14 {brother's age minus 12 equals sister's age}

x = 26 {added 12 to each side}

Your brother is 26.

2. x+8.95=21.35  

now you must subtract 8.95 by both sides which equals x =12.4

3. 29 compact cars.

The total number of vehicle is 37. So you can just subtract 37 by 8 which gives 29.

4. x +73=95

subtract both sides by 73. which equals 22

5. $160      He originally spent $123.45 and was left with $36.55 you just add both numbers and that's what you get altogether.

6. X-225=548

Solve for x

Add 225 to both sides. So x - 753

I hope this helps! Please dont mark this wrong or delete this i worked really hard! I hope this helps tho! :)