Mathematics College

Una pastelería es famosa por dos de sus especialidades de pasteles: el Especial y el Supremo. El Especial requiere para su elaboración medio kilo de azúcar y 8 huevos, teniendo un precio de venta de $200. El Supremo necesita un kilo de azúcar y 8 huevos, teniendo un precio de venta de $270. En el almacén les quedaban 10 kilos de azúcar y 120 huevos.

Answers

Answer 1

Given statement solution is :-The ingredients available in the warehouse, a maximum of 15 "Special" cakes and 10 "Supreme" cakes can be made.

To determine how many cakes they can make of each specialty, we need to review the amount of ingredients available in the warehouse and then calculate how many cakes can be made with that amount.

Amount of ingredients in the warehouse:

Sugar: 10 kilos

Eggs: 120

For the "Special" cake:

It requires half a kilo of sugar per cake.

It requires 8 eggs per cake.

Sale price: $200 per cake.

To calculate how many "Special" cakes can be made, we divide the amount of sugar and eggs available in the store by the ingredients required per cake:

"Special" cakes that can be made:

Available sugar / Sugar required per cake = 10 kilos / 0.5 kilos = 20 cakes

Eggs Available / Eggs Required per Cake = 120 Eggs / 8 Eggs = 15 Cakes

Therefore, with the ingredients available in the store, a maximum of 15 "Special" cakes can be made.

For the "Supreme" cake:

It requires a kilo of sugar per cake.

It requires 8 eggs per cake.

Sale price: $270 per cake.

To calculate how many "Supreme" cakes can be made, we again divide the amount of sugar and eggs available in the store by the ingredients required per cake:

"Supreme" cakes that can be made:

Available sugar / Sugar required per cake = 10 kilos / 1 kilo = 10 cakes

Eggs Available / Eggs Required per Cake = 120 Eggs / 8 Eggs = 15 Cakes

Thus, with the ingredients available in the warehouse, a maximum of 10 "Supreme" cakes can be made.

In short, with the ingredients available in the warehouse, a maximum of 15 "Special" cakes and 10 "Supreme" cakes can be made.

For such more questions on Available Cakes: Special and Supreme

https://brainly.com/question/9931401

#SPJ8

Related Questions

Need help with top problem. Maybe bottom too

Answers

1) The area of a circle circumscribed about a square is 307.7 cm².

2.a.) The angle ACB is 39 degrees.°.

2b.) The value of x is 5.42.

How to determine the area of a circle?

We shall find the radius to determine the area of a circle.

First,  find the side length of the square:

Since the perimeter of the square = 56 cm, then, each side of the square is 56 cm / 4 = 14 cm.

Next, find the diagonal of the square, using the Pythagorean theorem:

Diagonal = the diameter of the circumscribed circle.

Diagonal² = side length² + side length²

= 14 cm² + 14 cm²

= 196 cm² + 196 cm²

= 392 cm²

Take the square root of both sides:

Diagonal = √392 cm ≈ 19.80 cm (rounded to two decimal places)

Then, the radius of the circle which is half the diagonal:

Radius = Diagonal / 2 ≈ 19.80 cm / 2 ≈ 9.90 cm (rounded to two decimal places)

Finally, compute the area of the circle using the formula:

Area = π * Radius²

Area = 3.14 * (9.90 cm)²

Area ≈ 307.7 cm² (rounded to two decimal places)

Therefore, the area of the circle that is circumscribed about a square with a perimeter of 56 cm is 307.7 cm².

2. a) We use the property of angles in a circle to solve for angle ACB: an angle inscribed in a circle is half the measure of its intercepted arc.

Given that arc AB has a measure of 78°, we can find angle ACB as follows:

Angle ACB = 1/2 * arc AB

= 1/2 * 78°

= 39°

Therefore, the angle ACB is 39 degrees.

2b.) To solve for the value of x, we use the information that the angle ADB =  (3x - 12)⁴.

Given that angle ADB is (3x - 12)⁴, we can equate it to the measure of the intercepted arc AB, which is 78°:

(3x - 12)⁴ = 78

Solve the equation for x, by taking the fourth root of both sides:

∛∛((3x - 12)⁴) = ∛∛78

Simplify,

3x - 12 = ∛(78)

Isolate x by adding 12 to both sides:

3x - 12 + 12 = ∛(78) + 12

3x = ∛(78) + 12

Finally, divide both sides by 3:

x = (∛(78) + 12) / 3

x = (4.27 +12) / 3

x = 5.42

So, x is 5.42

Therefore,

1) The area of the circle is 154 cm².

2a.) Angle ACB is equal to 102°.

2b.) The value of x is 5.42

Learn more about the area of a circle at brainly.com/question/12374325

#SPJ1

Other Questions
it is the dead not the living who make the longest demands meaning TRUE/FALSE an electron is released at the intersectrion of a equipotnetial line and an e field line write an executive summary for a energy euipment business plan . what is the magnitude of i3i3 ? express your answer to two significant figures and include the appropriate units. what is the use of the chi-square goodness of fit test? select one. An economy has a MPC of 0.80. Suppose only that taxes are increased by $300 billion. Calculate the tax mulitplier and determine the effect (amount and direction) on GDP. Multiplier est Amount = $bn Please enter only a Capital I, D, or S Direction: Increased (1) Decreased (D) or Stayed Constant (S) Suppose you are a macroeconomist hired by the government to provide policy recommendations. For the following questions, you will be given a policy goal. Explain what actions could be taken to meet those goals. You may use a graph to motivate your answer, but it must be adequately labelled and explained.The government allocated large additional expenses financing programs in the health sector fighting the health issues and helping businesses and households form shutdowns and lockdowns effect through social safety provisions. This has caused substantial deficit budget. The way the government financed the deficit becomes a concern.(a) The deficit was financed through money creation!(b) The government issued bond resulting in soaring government debt. find the area of the region bounded by the graphs of the equations. y = ex, y = 0, x = 0, and x = 6 The Regal Cycle Company manufactures three types of bicyclesa dirt bike, a mountain bike, and a racing bike. Data on sales and expenses for the past quarter follow: Sales Variable manufacturing and selling expenses Contribution margin Fixed expenses: Advertising, traceable Depreciation of special equipment Salaries of product-line managers Allocated common fixed expenses* Total fixed expenses Net operating income (loss) *Allocated on the basis of sales dollars. Total $928,000 461,000 467,000 69,700 43,300 113,700 185,600 412,300 $ 54,700 Dirt Bikes $ 264,000 110,000 154,000 8,400 20,800 40, 100 52,800 122, 100 $ 31,900 Mountain Bikes $ 407,000 197,000 210,000 40, 600 7,300 38,400 81,400 167, 700 $ 42,300 Racing Bikes $ 257,000 154,000 103,000 Required: 1. What is the financial advantage (disadvantage) per quarter of discontinuing the Racing Bikes? 2. Should the production and sale of racing bikes be discontinued? 20,700 15, 200 35,200 51,400 122,500 $ (19,500) Management is concerned about the continued losses shown by the racing bikes and wants a recommendation as to whether or not the line should be discontinued. The special equipment used to produce racing bikes has no resale value and does not wear out. 3. Prepare a properly formatted segmented income statement that would be more useful to management in assessing the long-run profitability of the various product lines. Complete this question by entering your answers in the tabs below. Required 1 Required 2 Required 3 What is the financial advantage (disadvantage) per quarter of discontinuing the Racing Bikes? Required 1 Required 2 > Required 1 Required 2 Required 3 Prepare a properly formatted segmented income statement that would be more useful to management in assessing the long-run profitability of the various product lines. Contribution margin (loss) Traceable fixed expenses: Total traceable fixed expenses Product line segment margin (loss) Net operating income (loss) Totals < Required 2 0 Dirt Bikes Mountain Bikes 0 0 $ 0 0 0 0 Required 3 $ 0 Racing Bikes 0 0 $ 0 0 0 what interests you about working in accounts payable at a company like ours? A spoken presentation with a topic-oriented quote is one technique of attracting attention.TRUEFALSE Moving to the next question prevents changes to this answer. Question 1 Under the contribution income statement, a company's contribution margin will be lower f Fixed selling, general and administrative expenses decrease O Variable manufacturing overhead decrease. O Fixed manufacturing overhead costs decrease. O Variable manufacturing overhead costs increase. Moving to the next question prevents changes to this answer. Question 2 Which of the following statement is CORRECT about the foundational assumption used in OVP analys O Behavior of revenue and costs can be graphed as a straight line O Selling price, variable cost per unit and total fixed costs are known and fuctuates The time value of money is considered Relative sales proportions of multiple products are known and fluctuates tinn prevents changes to this answer. Song hanges to this answer. Question 3 Which of the following way of cost assignment used to assign accumulated cost with an indirect relationship to a cost object? O Cost allocation Cost tracing O Cost accumulation Cost assignment germany, sweden and denmark are countries with a democratic corporatist media model. true or false make a list of items that illustrate the scope of american government a tablet pc with telephony capabilities is sometimes referred to as this. Given that x = 3 + 8i and y = 7 - i, match the equivalent expressions.Tiles58 + 106i-15+19i-8-41i-29-53iPairs-x-y2x-3y-5x+yx-2y Discuss the effectiveness of non-price forms of competition suchas, (i) advertising and (ii) innovation (new products and newprocesses) on firm performance and consumer welfare. (750words) which part of the brain works with the medulla oblongata to regulate respiration? 1-Which resource category would include the CEO of General Motors? Labor Capital Entrepreneurial Skill Land 2- Which of the following is NOT one of the 5 fundamental Ideas of Economics? Equally Beneficial Trade Tradeoffs Incentives Scarcity 3- In Economics, the MARGIN refers to the last one, Marginal Revenue being the revenue from selling the last unit, for example True False 4- Economics does not utilize the Scientific Method. True False what should a treasury staff do to improve forecasting accuracy