Judy’s Cake Shop makes fresh cakes to customer orders. After receiving the order by Judy’s assistant, which takes 2 minutes, Judy then takes 8 minutes to mix the ingredients for the cake and loads a cake pan for baking. Then the cake is put into the oven for 30 minutes. The oven can hold three cakes at one time. When the cake is taken out of the oven, it is cooled for 1 hour. The assistant then takes 2 minutes to pack the cake for pickup and bills the customer, which takes 3 minutes. a. What is the capacity of the process, and what is the bottleneck? b. What is the throughput time for a typical cake? c. If on average five orders are taken per hour, how many cakes are there in the process (on average)?

Answer:

x=118

y=37

Step-by-step explanation:

Since the lines are parallel:

Alternate Exterior angles are congruent, so x=118.

Linear pairs are supplementry, so y+25+118=180.

y+25=62

y=37.

(hope this helps and nice username :P)

Answer:

y = 37 degrees

x = 118 degrees

Step-by-step explanation:

Since a horizantal line is 180 degrees, the angle that is 118 degrees, angle y, and the angle that is 25 degrees all add up to 180. Therefore, 118 + 25 = 143, and 180 - 143 = 37. For angle x, the coresponding angle postulate states that two angles that are separated by a transversal are congruent angles. Therefore, angle x = 118 degrees.

The stock worth now, to the nearest cent, is $58.14.

The current worth of stock = initial price of stock+increase in the price of stocks

If you bought stock last year for a price of $66, and it has gone down 13.9% since then,

Let X be the worth of stock;

66 ×  100 = (13.5% + 100%) × X

6600 = 113.5X

X = 6600/113.5

X = 58.14458

X = $58.14

Hence, The stock worth now, to the nearest cent is $58.14.

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Step-by-step explanation:

75.00 - 25.00 = 50.00

50.00 / 20.00 = 2.50

So, she needs to mow 2.5 lawns or more to have enough money to buy the skateboard.

The inequality can be expressed as:

20.00 * x >= 50.00

x >= 2.50

So, the inequality "x >= 2.50" can be used to determine the number of lawns she needs to mow to have enough money to buy the skateboard.

Answer:

Step-by-step explanation:

50% of 366 is 183, therefore your answer is 366.

Answer:

10. x ≈ 15,9

11. x ≈ 17,5

Step-by-step explanation:

10. Use the Pythagorean theorem:

\( {x}^{2} = {17}^{2} - {6}^{2} = 289 - 36 = 253\)

\(x > 0\)

\(x = \sqrt{253} ≈15.9\)

11.

\( {x}^{2} = {9}^{2} + {15}^{2} = 81 + 225 = 306\)

\(x > 0\)

\(x = \sqrt{306} ≈17.5\)

Answer:

Step-by-step explanation:

Based on the information given, it is not possible to determine whether the sample may be biased or not.

However, there is a possibility that the sample may be biased if the company's computer database does not accurately represent its entire customer base. For example, if the database contains only a specific type of customers, such as those who frequently make large purchases, then the sample may not be representative of the company's entire customer base. In this case, the survey results may not accurately reflect the opinions of all the company's customers.

It is also important to consider other factors such as how the survey was conducted and how the questions were framed, as these can also affect the validity of the survey results

From the given below solution the value of m EF is 25%.

A circle graph, also known as a pie chart, is a type of data visualization that displays data as a circular graph, divided into sectors that represent numerical proportions.

Each sector of the circle represents a percentage or proportion of the total data set, and the size of each sector is proportional to its corresponding value.

To find m EF, we need to add the percentages of participation in sports E and F:

m EF = percentage of participation in sports E + percentage of participation in sports F

m EF = 11% + 14%

m EF = 25%

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The width of the river using the similar triangle is 43.3 metres.

The surveyor wants to determine the width of the river . Let's use the pair of similar triangle to find the width of the river.

Therefore, two triangles are said to be similar if their corresponding angles are congruent and the corresponding sides are in proportion.

Hence, let's find the width of the river.

Therefore,

18.6 / 34.2 = AB / 79.6

cross multiply

18.6 × 79.6 = 34.2 AB

34.2 AB = 1480.56

divide both sides of the equation by 34.2

AB = 1480.56 / 34.2

AB = 43.2912280702

AB = 43.3 metres

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Answer:

D 9m 4m because 9 divided by 2 is 3 and 4 divided by 2 is 2 and that's us you answer.

Answer:

that would be 57

Step-by-step explanation:

because im smart

Answer:

Here is a complete function table for f(x) = -x-7:

x f(x)

-6 1

-5 2

-4 3

-3 4

-2 5

-1 6

0 7

1 8

2 9

3 10

4 11

5 12

6 13

You can see as x increases by 1, the output of the function f(x) increase by 1 as well, it starts from -13 to -6.

Uday Tahlan

Step-by-step explanation:

Hey there!

Let the unknown number be x. Then;

According to the question;

3x+4= -8

3x = -12

x = -12/3

Therefore, x = -4

Check:

3*-4 +4 = -8

-12+4 = -8

-8= -8 (True).

Hope it helps...

Answer: No

To check if (-5,6) is a solution to the equation y=-7, we need to substitute -5 for x and 6 for y in the equation.

If the equation is true, then the ordered pair is a solution to the equation.

If we put (-5,6) into y=-7, we get 6=-7, which is not true.

So, (-5,6) is not a solution to the equation y=-7.

Answer:

Step-by-step explanation:

Answer- h= f- 1/5g

5F=g+h

-5h=g-5f

h= f- 1/5g

Step-by-step explanation:

F=g/5+h

multiply through by (5+h)

F(5+h) = g

Opening the bracket

5F + Fh = g

Subtract 5f from both sides

Fh = g -5F

Divide through by F

h = (g - 5F)/F

OR

h = g/F - 5

Answer:

what are the choices of answers

Step-by-step explanation:

Subtracting the initial amount of water from the amount used, the remaining amount of water is given by:

1.) 3.075 gallons.

To find the remaining amount of water in the barrel, we have to subtract the initial amount by the amount used.

We have that:

Hence the remaining amount is:

15 - 11.925 = 3.075 gallons.

Which means that option 1 is correct.

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Answer: 3.075 gallons

Step-by-step explanation:

The equation is  \(g(x) = -\frac{1}{16} (x - 1)^2 + 2\)  Graphing this equation below, we get a parabola that opens downwards and intersects the x-axis at x = -2 and x = 4, with a vertex at (1, 2).

To demonstrate the connection between the two variables, a line or curve is drawn between the plotted points.

To graph function g, we need to find its equation that satisfies the given properties. We know that the y-intercept of g is less than that of f, so we can choose it to be 1. Also, the parabola of g opens downwards and its vertex is between the two x-intercepts, which are at x = -2 and x = 4. We can use these points to find the equation of the parabola in the standard form: g(x) = a(x - h)² + k. Using the fact that g(0) = 1 and the x-intercepts, we can solve for a, h, and k. The resulting equation is:

\(g(x) = -\frac{1}{16} (x - 1)^2 + 2\)

Graphing this equation, we get a parabola that opens downwards and intersects the x-axis at x = -2 and x = 4, with a vertex at (1, 2).

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The two considered triangles JKL and MNP are similar by the AA rule of similarity as the two angles that is ∠K = ∠N and ∠L = ∠P are there.

Similar triangles are triangles that have the same shape, but their sizes may vary. All equilateral triangles, squares of any side lengths are examples of similar objects. In other words, if two triangles are similar, then their corresponding angles are congruent and corresponding sides are in equal proportion. We denote the similarity of triangles here by ‘~’ symbol.

It is given that two triangles that are JKL and MNP are considered in which:

Now, from ΔJKL and ΔMNP, we have

∠K = ∠N (Given in the question)

∠L = ∠P(Given in the question)

Thus, by AA rule of similarity,

ΔJKL is similar to ΔMNP.

Therefore, the two considered triangles JKL and MNP are similar by the AA rule of similarity as the two angles that is ∠K = ∠N and ∠L = ∠P are there.

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Simplifying this fraction gives us 1/4. The answer is (D) 1/4.

What is arithmetic sequence?

An arithmetic sequence is a sequence of numbers in which each term after the first is found by adding a fixed constant number, called the common difference, to the preceding term.

Let's start by finding the fraction of Michelle's patients who are under 12 or over 65. We know that one-third of her patients are under 12, so two-thirds must be 12 or older. Similarly, five-twelfths of her patients are over 65, so seven-twelfths must be 65 or younger.

Now, we want to find the fraction of Michelle's patients who are between 12 and 65. To do this, we need to subtract the fraction of patients who are under 12 or over 65 from 1 (since these are the only two age groups we're considering).

Fraction of patients under 12: 1/3

Fraction of patients over 65: 5/12

Fraction of patients 12 to 65: 1 - 1/3 - 5/12

We can simplify this expression by finding a common denominator:

Fraction of patients 12 to 65: 12/12 - 4/12 - 5/12

Fraction of patients 12 to 65: 3/12

Simplifying this fraction gives us 1/4. Therefore, the answer is (D) 1/4.

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Answer:

$110

Step-by-step explanation:

The first step would be to multiply 11 and 5 to get the result of 55.

Then, you would multiply 55 by whatever the cost per square yard is, which in this case is $2.

Finally after multiplying 55 and 2 you would get the answer of $110.

Hope this helped! Have a great day! :)

The measure of the angle ABD is (3x + 29)  

Bisecting angles is the process of dividing an angle into two congruent angles. In geometry, an angle bisector is a line or ray that divides an angle into two equal parts.

When an angle is bisected, each of the two angles formed is called a half-angle or bisector angle, and the point where the angle is bisected is called the vertex of the angle.

Here we have

BD bisects ABC and ∠ABC = 6x+58  

When a straight bisect an angle then the measure of the resultant 2 angles will be equal in measure

Here BD bisected ABC

The resultant angles will be ∠ABD and ∠DBC

Hence,

=> ∠ABC = ∠ABD + ∠DBC

=> ∠ABC = ∠ABD + ∠ABD   [ Since two angles are equal

=> ∠ABC = 2∠ABD  

From the given data,

=> 6x + 58 = 2∠ABD  

=> 2 ∠ABD = 2(3x + 29)

=> ∠ABD = (3x + 29)  

Therefore,

The measure of the angle ABD is (3x + 29)  

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Answer:

x = 50

Step-by-step explanation:

2485 ÷ x = 49 R 35

We know that 2485 ÷ x = 49 R 35, or 2485 ÷ x = 49 + 35

Step 1:

Now, I want to subtract 35 from the left side of the equation:

Step 2:

Now I want to find x. We can start by multiplying both sides by x, then dividing by the coefficient.

x = 50

Check:

-Chetan K

Answer:

The sides of all the shapes are straight

Step-by-step explanation:

Pedro animal has the shape of a horse. The animal is made up of different shapes, we can see that the shapes Pedro animal is made up of consist of two triangles, three rectangles and a hexagon.

All this shapes mentioned above (triangle, rectangle and hexagon) that are used in making this animal have sides with straight edges. Therefore the sides of all the shapes are straight.

There are a total of 279 1/9s in 31.

Simplifying procedures is one way to achieve uniformity in job efforts, expenses, and time. It reduces diversity and variation that is pointless, harmful, or unneeded. Parenthesis, exponents, multiplication, division, addition, and subtraction are all referred to as PEMDAS. The order of the letters in PEMDAS informs you what to calculate first, second, third, and so on, until the computation is finished, given two or more operations in a single statement.

To find out how many 1/9's are in 31, you can divide 31 by 1/9.

This can be simplified by converting the division of a fraction to multiplication with its reciprocal:

31 ÷ (1/9) = 31 × (9/1)

Simplifying the expression on the right side gives:

31 × 9 = 279

So there are 279, 1/9's in 31.

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9514 1404 393

Answer:

  1.  see the first attachment for a graph; quadrants I, II, III; vertex (-3, -4); x-intercepts -5, -1; graph is dashed line, shaded inside the parabola, which opens up

  2.  see the second attachment for a graph; all quadrants; vertex (1, 2); x-intercepts 1±√2; graph is a solid line, shaded outside the parabola, which opens down; (-7, 0) is a solution

Step-by-step explanation:

1. The boundary expression is in vertex form, so the vertex can be read directly.

  y = (x -h)^2 +k . . . . . . parabola with vertex (h, k)

  y > (x +3)^2 -4 . . . . .  (h, k) = (-3, -4)

The leading coefficient is +1, a positive number, so the parabola opens up. The relation is y > ( ), so values of y above the dashed line will be shaded. Those values are inside the parabola. The points (0, 0) and (-7, 0) are not in the shaded area, so are not solutions.

__

2. Again, the boundary expression is in vertex form, so the vertex can be read directly.

  y ≥ -(x -1)^2 +2 . . . . . (h, k) = (1, 2)

The x-intercepts are found by solving for x when y=0:

  0 = -(x -1)^2 +2

  x -1 = ±√2

  x = 1±√2

The leading coefficient is -1, so the parabola opens downward. The relation is y ≥ ( ), so y-values above the solid line will be shaded. Those values are outside the parabola. Point (0, 0) is not a solution. Point (-7, 0) is a solution.

_____

Additional comment

As with the graph of any inequality, the boundary line is solid when the "or equal to" case is part of the relation. If the relation is strictly "greater than" or "less than", then the boundary line is dashed.

Answer:

0

Step-by-step explanation:

any numbers multiply by zero always equals to zero

Answer:

2.5 days

Step-by-step explanation:

this is the answer

210.28