1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
julia-pushkina [17]
3 years ago
13

Antonius the chef wants to cook several batches of lasagna and spaghetti for his restaurant. He plans to use at least 4.54.5 kil

ograms of pasta and more than 6.36.3 liters of sauce to cook spaghetti and lasagna. 0.3S+0.65L \geq 4.50.3S+0.65L?4.5 represents the number of batches of spaghetti SS and lasagna LL Antonius can cook to use at least 4.54.5 kilograms of pasta. 0.25S+0.8L >6.30.25S+0.8L>6.3 represents the number of batches of spaghetti and lasagna Antonius can cook to use more than 6.36.3 liters of sauce. Does Antonius meet both of his expectations by cooking 1010 batches of spaghetti and 44 batches of lasagna?
Mathematics
2 answers:
Olegator [25]3 years ago
8 0

Answer:

Antonius uses the expected amount of pasta but not the expected amount of sauce.

Step-by-step explanation:

On Khan academy I got the answer Antonius uses the expected amount of pasta but not the expected amount of sauce.

I hope my answer helps.

yaroslaw [1]3 years ago
4 0

Answer: No he does not meet both of his expectation by cooking 10 batches of spaghetti and 4 batches of lasagna.

Step-by-step explanation:

Since here S represents the number of batches of spaghetti and L represents the total number of lasagna.

And,  the chef planed to use at least 4.5 kilograms of pasta and more than 6.3 liters of sauce to cook spaghetti and lasagna.

Which is shown by the below inequality,

0.3S+0.65L \geq 4.5 ----------(1)

And,  0.25S+0.8L >6.3 --------(2)

By putting S = 10 and L = 4 in the  inequality (1),

0.3\times 10+0.65\times 4 \geq 4.5

⇒ 5.6\geq 4.5(true)

Thus, for the values  S = 10 and L = 4 the inequality (1) is followed.

Again By putting S = 10 and L = 4 in the  inequality (2),

0.25\times 10+0.8\times 4 >6.3

⇒ 5.7>6.3( false)

But, for the values  S = 10 and L = 4 the inequality (2) is not  followed.

Therefore, Antonius does not meet both of his expectations by cooking 10 batches of spaghetti and 4 batches of lasagna.



You might be interested in
Mary took out a student loan for $15,000 at 4% simple interest. how much interest will she pay after 10 years
hammer [34]

Answer:

18,274

Step-by-step explanation:

7 0
3 years ago
Which of the following is not one the three categories of Euclid’s geometric principles?
Nikolay [14]

"Conjeture" is not one of the three categories of Euclid's geometric principles.

Euclidean geometry begins with Euclid's Elements, which is both a sum of the geometric knowledge of the time and an attempt to formalize this knowledge mathematically.

The notions of straight line, plane, length, area are exposed there and form the support of elementary geometry lessons. The conception of geometry is intimately linked to the vision of the ambient physical space in the classical sense of the term.  

Learn more about Euclid in brainly.com/question/1674393

4 0
2 years ago
Parallel to y = 4x - 6 <br> through (6,-3)
kolbaska11 [484]

Answer:

y=4x-27

Step-by-step explanation:

Parallel lines have the same slope, so lets use 4 as the slope.

Plug in the slope, and the two points into point-slope form to find the y-intercept:

<u>y+3=4(x-6)</u>

1) Distribute the 4 to x and -6:

y+3=4x-24

2) Subtract 3 from both sides:

y=4x-27

4 0
2 years ago
Which expression can be used to solve<br> 3/5•|• 7/10
Natasha2012 [34]

Answer: D

Step-by-step explanation: if you write it out it will be the exact same thing as D so it will be d

4 0
3 years ago
Find the roots of the equation<br> x ^ 2 + 3x-8 ^ -14 = 0 with three precision digits
scoray [572]

Answer:

Step-by-step explanation:

Given quadratic equation:

x^{2} + 3x - 8^{- 14} = 0

The solution of the given quadratic eqn is given by using Sri Dharacharya formula:

x_{1, 1'} = \frac{- b \pm \sqrt{b^{2} - 4ac}}{2a}

The above solution is for the quadratic equation of the form:

ax^{2} + bx + c = 0  

x_{1, 1'} = \frac{- b \pm \sqrt{b^{2} - 4ac}}{2a}

From the given eqn

a = 1

b = 3

c = - 8^{- 14}

Now, using the above values in the formula mentioned above:

x_{1, 1'} = \frac{- 3 \pm \sqrt{3^{2} - 4(1)(- 8^{- 14})}}{2(1)}

x_{1, 1'} = \frac{1}{2} (\pm \sqrt{9 - 4(1)(- 8^{- 14})})

x_{1, 1'} = \frac{1}{2} (\pm \sqrt{9 - 4(1)(- 8^{- 14})} - 3)

Now, Rationalizing the above eqn:

x_{1, 1'} = \frac{1}{2} (\pm \sqrt{9 - 4(- 8^{- 14})} - 3)\times (\frac{\sqrt{9 - 4(- 8^{- 14})} + 3}{\sqrt{9 - 4(- 8^{- 14})} + 3}

x_{1, 1'} = \frac{1}{2}.\frac{(\pm {9 - 4(- 8^{- 14})^{2}} - 3^{2})}{\sqrt{9 - 4(- 8^{- 14})} + 3}

Solving the above eqn:

x_{1, 1'} = \frac{2\times 8^{- 14}}{\sqrt{9 + 4\times 8^{-14}} + 3}

Solving with the help of caculator:

x_{1, 1'} = \frac{2\times 2.27\times 10^{- 14}}{\sqrt{9 + 42.27\times 10^{- 14}} + 3}

The precise value upto three decimal places comes out to be:

x_{1, 1'} = 0.758\times 10^{- 14}

5 0
3 years ago
Other questions:
  • Logan made a profit of $210.00 as a mobile groomer. He charged $75.00 per appointment and received $35.00 in tips, but also had
    13·1 answer
  • Joe bought 5 apples and 4 bananas for $6. Dawn bought 3 apples and 6 bananas for $6.30. How much foes each apple and each banana
    15·1 answer
  • 37.5 is a 20% markup from which number? Explain how you found that number?
    12·2 answers
  • Grace started her own landscaping business. She charges $6 an hour for mowing lawns and $11 per hour for pulling weeds. In Septe
    15·1 answer
  • Which of the following is a true statement? A. A trapezoid is a type of parallelogram. B. A trapezoid is a type of quadrilateral
    15·2 answers
  • Vince makes 75% of his free throw attempts. He wants to create a tool that will simulate his free throw shooting and allow him t
    12·2 answers
  • Complete the input-output table that represents the linear function y=−2x+8.
    5·1 answer
  • One state leads the country in tart cherry production, producing 83 out of every 100 tart cherries each year.
    14·1 answer
  • Which of the following sets of ordered pairs represents a function?
    11·2 answers
  • If -3m + 1 &gt; 7, which of the following is a solution set for m?
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!