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Mashutka [201]
3 years ago
13

BRAINLEIEST!!! To make 112 dozen muffins, a recipe uses 312 cups of flour. How many cups of flour are needed for every dozen muf

fins made? Enter your answer in the box as a mixed number in simplest form.
Mathematics
2 answers:
harkovskaia [24]3 years ago
8 0

Answer: There is 2\frac{11}{14}\ cups needed to make every dozen of muffins.

Explanation:

Since we have given that

Number of cups is needed to make 112 dozen muffins = 312

We need to calculate number of cups is required to make every dozen muffins.

For this case, we will use "Unitary method " .

So,

Number of cups is needed to make every dozen muffins is given by

\frac{312}{112}=\frac{39}{28}=2\frac{11}{14}\ cups

Hence, there is 2\frac{11}{14}\ cups needed to make every dozen of muffins.

fomenos3 years ago
6 0
The answer is <span><span>2 <span>1/3 i know bc i just did the test and got it wrong with the other answer </span></span></span>
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Two systems of equations are shown below: System A System B 3x + 2y = 3 −x − 14y = 1 −2x − 8y = −1 −2x − 8y = −1 Which of the fo
Sauron [17]

The two linear equations represented in system A as :

3 x + 2 y =3   -------(1)

- 2 x - 8 y = -1  ------(2)

(1) × 2 + (2) × 3 gives

⇒ 6 x + 4 y - 6 x - 24 y = 6 -3

⇒ - 20 y = 3

⇒ y = \frac{-3}{20}

Putting the value of y in equation (1), we get

3 x  - \frac{6}{20}=3\\\\ 3 x= \frac{66}{20} \\\\ x=\frac{11}{10}

Two linear equation represented in system B is:

3.   -x - 14 y =1

4.   - 2 x - 8 y = -1

-2 ×Equation (3) + Equation (4)=

2 x +28 y- 2 x - 8 y= -2 -1

⇒ 20 y = -3

⇒y =\frac{-3}{20}

Putting the value of y in equation (3),we get

-x + \frac{42}{20}=1 \\\\ x=\frac{22}{20}=\frac{11}{10}

As Two system , that is system (A) and System (B) has same solution.

By looking at all the options , i found that Option (D) is correct. The two system will have the same solution because the first equation of System B is obtained by adding the first equation of System A to 2 times the second equation of System A.

6 0
3 years ago
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Raul’s grandfather is Miguel, and Raul’s sister is Paula. Raul’s age is the same as his grandfather’s age minus 60 times the age
Lostsunrise [7]

Answer:   The answer is x = 65 - 60y.


Step-by-step explanation:  Given that Miguel is the grandfather of Raul and Paula is Raul's sister.

Now, let 'x' years be the age of Raul and 'y' years be the age of Raul's sister (Paula).

Also, given is the following information -

Raul's age = Grandfather's age - 60 × sister's age.

Since the age of Miguel, Raul's grandfather is 65 years, so we can write the following equation to find Paula's age

x=65-60\times y\\\\\Rightarrow 60y=65-x\\\\\Rightarrow y=\dfrac{65-x}{60}.

Thus, we can find Paula's age (y) using the equation

y=\dfrac{65-x}{60},

where 'x' is the age of Raul.



6 0
3 years ago
Bethany can mow her family’s lawn in 4 hours. Her brother Colin can mow the lawn in 3 hours. Which equation can be used to find
maria [59]
In 4 hours Bethany did the whole fraction 1 of the house.

In 1 hour he would do 1/4 of it.

In 3 hours Colin did the whole fraction 1 of the house.

<span>In 1 hour he would do 1/3 of it.
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In 1 hour they would both do (1/4 + 1/3)

If it takes both of them x hours to finish 1 whole fraction of the house.

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That means that:

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5 0
3 years ago
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What is -7n-4=24 lol i hate homework
Montano1993 [528]
It's a simple linear equation in 'n'.  There's only one number that 'n' can be
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Divide each side by  7 :         <em>n        =  -4</em>

Homework is the only way for most people to learn stuff.
3 0
3 years ago
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Design a sine function with the given properties:
Rom4ik [11]

Answer:

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Step-by-step explanation:

Given information:

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Minimum = 10 at t=4 hr.

The general sin function is

y=A+\sin(B(x-C))+D        .... (1)

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Period is 24 hr.

24=\dfrac{2\pi}{B}\Rightarrow B=\dfrac{\pi}{12}

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The function is minimum at t=4 and maximum at t=16,phase shift is

C=\dfrac{16+4}{2}=10

Substitute these values in equation (1).

y=3\sin\left(\frac{\pi}{12}\left(x-10\right)\right)+13

Therefore, the required function is f(x)=3\sin\left(\frac{\pi}{12}\left(x-10\right)\right)+13.

8 0
3 years ago
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