Suppose that a commercial bakery produces chocolate chip cookies. Based on extensive testing, the bakery has determined that the ideal number of chocolate chips per cookie is 18. In the past, master bakers mixed the dough and spooned it onto sheet pans by hand, but the owners have decided to test a new machine.

The machine extrudes dough onto baking sheets at a uniform rate. It runs continuously from 5:30 a.m. until 1:30 p.m. The number of chips per cookie depends on the viscosity of the dough, and because the dough stiffens as it sits in the machine, the machine produces cookies that contain the optimal number of chips, 18 per cookie, between the hours of 6:00 a.m. and 11 a.m. The distribution of cookies is shown in the graph below.

Suppose That A Commercial Bakery Produces Chocolate Chip Cookies. Based On Extensive Testing, The Bakery

Answers

Answer 1

Based on the times that the machine produces cookies that have the optimal amount of chips, the proportion produced daily with the optimal number of chips is 62.5% or 0.625.

What is the proportion of cookies with optimal chocolate chips?

This can be found by the formula:

= (Hours that optimal cookies are produced) / Hours that the machine runs per day

5:30 am is the same as 5.5 hours because 30 minutes is half an hour.

1:30 pm is also the same as 13.5 hours by the above rule and in 24 hour notation.

Proportion of optimal cookies is therefore:

= (11 am - 6am) / (13.5 - 5.5)

= 5 / 8

= 0.625

= 62.5%

Find out more on optimal production at https://brainly.com/question/6348653.


Related Questions

HELP PLS!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

D: 699

E: 582.5

F: 116.5

2. 1398

3. 13048

Step-by-step explanation:

Hope this helps!

Adult tickets for an art exhibit cost $15. Tickets for students cost $8.
Martin has $180 to buy 2 adult tickets and 20 student tickets.
Martin says he has enough money to buy all of the tickets because $8 × 20 = $160 and $160 is less than $180.

Critique Martin's reasoning. Which statements are correct? Choose all that apply.

A.
Martin correctly found the total cost of the tickets.

B.
Martin did not include the cost of the adult tickets.

C.
The cost of the two adult tickets is $15.

D.
Martin correctly concludes that he has enough money to buy all of the tickets.

E.
The total cost is $190, so Martin does not have enough money.

Answers

Answer: A and D are TURE statements.

Answer:

The correct answers are B & E

Step-by-step explanation:

The cost of adult tickets: 15$ * 2= 30$

The cost of student tickets: 8$ * 20= 160$

=> All the tickets cost 30$ + 160$= 190$

=> Martin still needs 10$ more to buy all of the tickets

-8x+4y=-8
5x-2y=1
Pls answer this fast

Answers

Answer:

x=-3

y=-8

I answered your question in the photo sent.

solve. solve this question if you are intelligent ​

Answers

Answer:

(a) 0 (b) 1^2

Step-by-step explanation:

photo number 1 is answer for question 2(a)

photo number 2 is answer for question 2(b)

Kushbu decides to order a combination platter at her favorite restaurant. The platter comes with a choice of 2 entrees and 3 sides.

If there are 8 entrees and 6 sides available, how many different meal combinations could she order?

Enter your answer as an integer, like this: 42

Answers

Answer:

560

Step-by-step explanation:

To find the total combination you have to multiply the combination of entrees with combination of sides. U have to use the nCr equation to find these separate equations. n is number of items in total of the set and r is the number of items you want to choose from the set.

See the pic below for work

Help pls
Question 1 Part A (3 points): What is the greatest common factor (GCF) of the polynomial:


18x3 + 6x2y - 9x2 - 3xy

Answers

Answer:

I think the answer is 3x

Step-by-step explanation:

If i am wrong please correct me

The correct answer is 3x

What is greatest common factor?The greatest common factor is the largest factor among all the numbers in the equation.

So, the equation is [tex]18x^{3}+6x^{2} y-9x^{2} -3xy[/tex]

We need to find the GCF from the given equation  

[tex]3x(6x^{2} +2xy-3x-y)[/tex]

Hence, here we are getting the common factor as 3x

which the largest common factor in the given equation.

Learn more about Greatest common factor below.

https://brainly.com/question/219464

#SPJ2

Name three synonyms for "Solution": _____________,___________,______________

Answers

Answer:

1 quick fix            2 solving               3 result

Step-by-step explanation:

hope it helps

Convert the following to sq. cm or to sq. m, as required.
920 000 sq. cm= ______ sq. m​

Answers

Answer:

The answer is 92

Step-by-step explanation:

1 m = 10,000cm

920,000/10,000=92

Solve for x in the diagram below?

Answers

The value of x in the triangle with angles 80, 40 and (13x - 5) degrees is 5.

Sum of angle in a triangle

The sum of angle in a triangle is equals to 180 degrees. Recall a triangle have three sides. Therefore,

80 + 40 + 13x - 5 = 180

120 - 5 + 13x = 180

115 + 13x = 180

subtract 115 from both sides of the equation

115 - 115 + 13x = 180 - 115

13x = 65

divide both sides by 13

13x / 13 = 65 / 13

x = 5

learn more on triangle here: https://brainly.com/question/15268683

How many solutions does this nonlinear system of equations have?​

Answers

Answer:

ONE “1”

Step by step:

Taking into account the definition of a system of equations, this nonlinear system of equations has one solution.

A system of equations is a set of two or more equations that share two or more unknowns. The solutions of a system of equations are all the values that are valid for all equations.

That is, to find the solution to a system of equations, you must find a value (or range of values) that satisfies all the equations in the system.

Graphically, the points where the graphs of the equations intersect will be the solutions to the system.

A system of equations with a linear equation and a quadratic equation can have two, one, or no solutions. To find its quantity, we must look for the intersection between both graphs:

If the graphs of the equations do not intersect, then there are no solutions for both equations. If the parabola and the line touch at a single point, then there is a solution for both equations. If the line intersects the parabola in two places, then there are two solutions to both equations.

In this case, you can see that the parabola and the line touch at a single point. Then there is a solution for both equations.

In summary, this nonlinear system of equations has one solution.

which fraction is the biggest?


[tex] \frac{2}{3} [/tex]

[tex] \frac{4}{5} [/tex]

[tex] \frac{7}{8} [/tex]

Answers

7/8 is the biggest fraction

Easy math 2 pictures

Answers

Answer:

Problem #6: 31.8

Step-by-step explanation: all you have to do is plug in 31 and 7 into the phythangorean therom equation so 31 squared + 7 squared and you will end up getting 1010 but then you have to find the square root of 1010 which equals 31.78049... so then you round your answer

Find LP in parallelogram LMNQ.

Answers

Answer: im pretty sure its 29 degrees .

Step-by-step explanation: your welcome <3

What simple interest rate would you pay if you borrowed $5000 and paid back $6000 as promised after 5 years?
Enter the rate as a %.
(Use integers or decimals for any numbers in the expression.)

Answers

Answer:

4%

Step-by-step explanation:

6000 x 100 / 5000 = 120

after 5 years the total interest is 20%

each year interest = 4%

( 4 x 5 =20 )

Figure ABCD is a parallelogram.

Parallelogram A B C D is shown. The length of A B is 4 y minus 2, the length of B C is 2 x + 2, the length of D C is 2 y + 6, and the length of A D is 3 x minus 1.

What is the perimeter of ABCD?

14 units
38 units
44 units
49 units

Answers

Answer: 44 units

Step-by-step explanation:

Opposite sides of a parallelogram are equal, hence sides

AB = DC

4y-2 = 2y+6

2y=8

y=4

and

BC = AD

2x+2=3x-1

x=3

AB = 4Y-2

y=4

AB=14

BC=2x+2

x=3

BC=8

Perimeter = 2 X (AB + BC)

= 2 X (14+8)

= 44

Answer:

44 units

Step-by-step explanation:

cos(theta) / sin(theta)cot(theta) = 1

Answers

Hope it helps best of luckkkkk

Help
ASAP...........

Answers

Step-by-step explanation:

[tex](9x + 24) + 30x = 180[/tex]

[tex]39x + 24 = 180[/tex]

[tex]39x = 156[/tex]

[tex]x = 4[/tex]

Hence,we know

<DEC

[tex] = 9x + 24 = 9 \times 4 + 24 = 60[/tex]

<AEB=<DEC=60

The area of the polygon shown in the figure is _______.

Answers

The answer is 72 Reasoning being that the problem is A length times width situation so 8x9=72

Please find 2/3 minus 3/5

Answers

First we need common denominators so we could multiply 2/3 by 5 and 3/5 by 3. Now we have 10/15 and 9/15. 10/15 - 9/15 = 1/15. The answer would be 1/15. Hope this helps and please mark brainliest!

find x and y. use proper postulates or theorems to justify your answer

Answers

Answer:

x = 110 & y = 28

Step-by-step explanation:

The top and bottom lines are both intersected by a transversal. Because of this, we can say the 100-degree angle is equivalent to the (x-10) angle due to the Corresponding Angles Theorem.

If 100 = x -10 then you add 10 to both sides to get x = 110 degrees.

Then, using the Same Side Exterior Angles Postulate, you can conclude that the 100-angle and the (2y + 24) angle are supplementary, meaning they add up to 180 degrees.

So, 100 + (2y + 24) = 180.

Subtract 100 from both sides to get 2y + 24 = 80

Then subtract 24 from both sides to get 2y = 56

And divide both sides by 2 to get y = 28 degrees.

An arrow is shot vertically upward at a rate of 160 feet per second from ground level. Use the projectile formula
h
=

16
t
2
+
v
0
t
+
h
0
h
=
-
16
t
2
+
v
0
t
+
h
0
to determine when the height of the arrow will be 114 feet.

Answers

Answer:

  0.772 seconds; 9.228 seconds

Step-by-step explanation:

The given projectile formula with the given numbers filled in is ...

  [tex]\displaystyle h=-16t^2+v_0t+h_0\\\\114=-16t^2+160t[/tex]

We can "complete the square" to solve this for t, the times at which the height is 114 feet.

  16(t² -10t) = -16(7.125) . . . . . rearrange, showing factor of 16

  t² -10t +25 = -7.125 +25 . . . . divide by 16, add 25 to complete the square

  t = 5 ±√17.875 ≈ 5 ± 4.228 . . . . take the square root, add 5

  t ∈ {0.772, 9.228}

The arrow is 114 feet high after 0.772 seconds and again after 9.228 seconds.

What is the distance between -15 and 15 on a number line? *

Answers

30… The distance from -15 to 0 is 15 and the distance of 0 to 15 is 15. 15+15=30.

Answer:

30

Step-by-step explanation:

The distance between 2 points on a number line uses the following equation:

point2 - point1.

In this case we get 15 - (-15) which equals 30.

Please help i need it done before tomorrow. thank you.

What is the area of the trapezoid?



Enter your answer in the box.

Answers

Answer:

Step-by-step explanation:

A = [tex]\frac{b_{1} +b_{2} }{2}[/tex] × h

~~~~~~~~

[tex]b_{1}[/tex] = 15 in.

[tex]b_{2}[/tex] = 6 + 15 + 6 = 21 in.

h = 18 in.

A = [tex]\frac{15+21}{2}[/tex] × 18 = 324 in.²

Area of trapezoid= (a+b)/2 x h
a=long base
b=short base
h=altitude

a=27
b=15
h=18

a=(27+15)/2 x 18
a=42/2 x 18
a= 21 x 18

a=378

Solve 6x - 3y = 12 for y.​

Answers

Answer:

6x-3y=12

+3y

6x=3y+12

divide by 3

2x=y+4

-4

y=2x-4

Hope This Helps!!!

Write in 0.85 as a common fractionin its simplest form

Answers

[tex]\mathsf\pink{♧ANSWER♧}[/tex]

[tex] \mathsf \purple{0.85 = \frac{85}{100} = \frac{17}{20} }[/tex]

85/100 = 17/20

first we write the fraction from of 0.85 which is 85/100

then for simplifying it, we divide both 85 and 100 by 5

then we get to 17/20 which is our final answer

For the figure below, name each of the following:

Answers

Answer:

PM is radius

NL is diameter

LM is chord

LJ is secant

NJ is tangent

N is point of tangency

P is center

A parabola can be drawn given a focus of (1, -7) and a directrix of y = 1. Write the
equation of the parabola in any form.

Answers

Answer:

Step-by-step explanation:

focus (1 , -7)  ⇒ a = 1  & b = -7

y = 1 ⇒ c = 1

Equation of parabola :

(x - a)² + (y - b)² = (y - c)²

(X - 1)² + (y + 7)² = (y - 1)²

Now, expand.

x² - 2x + 1 + y² + 2*7*y + 7² = y² - 2*y*1 + 1

x² - 2x + 1 + y² - 14y + 49 = y² - 2y +1

x² - 2x + 1 + y² - 14y +  49  - y² + 2y - 1 = 0

x² - 2x  + y² - y²   - 14y + 2y   + 1 + 49 - 1 = 0

x² - 2x  - 12y + 49 = 0

3) After measuring the heights of 7 people, they have an average height of 156cm. After
measuring the heights of 8 people they have an average height of 158cm. How tall is
the 8th person?
Answer greatly appreciated asap

Answers

Answer:

172 cm

Step-by-step explanation:

The total height of the first 7 people is the average of the 7 people multiplied by the number of people, which is 156 * 7 or 1092. Using the same method, the total height of the first 8 people is 158*8 or 1264. The eighth person must be 1264 - 1092 cm tall or 172 cm tall.  

HELP ME ON TANGENTS, ARCS AND CHORDS! 1

Answers

The answer is 0 because 0 to the 4 is 0

Help picture below problem 9

Answers

Solution :-

Here, we have been given that lines f and g are parallel. Thus, the angle measuring 135° and ∠2 are vertically opposite angles.

And we know that vertically opposite angles measure same. Thus,

∠2 = 135°

And,

∠2 + ∠6 = 180° ( Co - interior angles sum up to 180° )

135° + ∠6 = 180°

∠6 = 180° - 135°

∠6 = 45°

Now,

we see that ∠6 and ∠5 are making a linear pair of angles, and we know that angles in a linear pair measure 180° Thus,

∠5 + 45° = 180°

∠5 = 180° - 45°

∠5 = 135°

Thus, the value of angle 5 is 135°

Hope that helps. :)

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