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2 years ago

If Molly has 9 1/2 cups of flour. This is 3/4 of the number she needs to make bread, how many cups does she need?

2 answers:

4 0

To find the answer, simply set up a proportion. in this case, it would be 3/4 over 1 is equal to 9 1/2 over x. to solve, multiply 9 1/2 and 1, giving you 9 1/2. in the next step, divide 9 1/2 by 3/4, giving you a final answer of 12 2/3.

Molly needs a total of 12 2/3 cups of flour!

cricket20 [7]2 years ago

3 0

Answer
She needs 2 3/8 more cups of flour for the bread recipe

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Step-by-step explanation:

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SA= 49.5 (m but it says no units)

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2 years ago

There is 7/8 quarts of orange juice. Mrs. Mathewson would like to serve her guests 3/16 quarts orange juice. How many guests can

kotegsom [21]

Answer:

$4\frac{2}{3}$ guests.

Step-by-step explanation:

We have been given that there are 7/8 quarts of orange juice. Mrs. Mathewson would like to serve her guests 3/16 quarts orange juice.

To find the number of guests Mrs. Mathewson can serve with 7/8 quarts of juice, we will divide 7/8 by 3/16 as:

$\text{Number of guests Mrs. Mathewson can serve}=\frac{7}{8}\div\frac{3}{16}$

Convert to multiplication problem by flipping the 2nd fraction:

$\text{Number of guests Mrs. Mathewson can serve}=\frac{7}{8}\times\frac{16}{3}$

$\text{Number of guests Mrs. Mathewson can serve}=\frac{7}{1}\times\frac{2}{3}$

$\text{Number of guests Mrs. Mathewson can serve}=\frac{14}{3}$

$\text{Number of guests Mrs. Mathewson can serve}=4\frac{2}{3}$

Therefore, Mrs. Mathewson can serve orange juice to $4\frac{2}{3}$ guests.

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2 years ago

Solve the following differential equation: (2x+5y)dx+(5x−4y)dy=0 *Hint: they are exact<br><br> C=.

Tpy6a [65]

Answer with Step-by-step explanation:

The given differential equation is

$(2x+5y)dx+(5x-4y)dy=0$

Now the above differential equation can be re-written as

$P(x,y)dx+Q(x,y)dy=0$

Checking for exactness we should have

$\frac{\partial P}{\partial y}=\frac{\partial Q}{\partial x}$

$\frac{\partial P}{\partial y}=\frac{\partial (2x+5y)}{\partial y}=5$

$\frac{\partial Q}{\partial x}=\frac{\partial (5x-4y)}{\partial x}=5$

As we see that the 2 values are equal thus we conclude that the given differential equation is exact

The solution of exact differential equation is given by

$u(x,y)=\int P(x,y)dx+\phi(y)\\\\u(x,y)=\int (2x+5y)dx+\phi (y)\\\\u(x,y)=x^2+5xy+\phi (y)$

The value of $\phi (y)$ can be obtained by differentiating u(x,y) partially with respect to 'y' and equating the result with P(x,y)

$\frac{\partial u}{\partial y}=\frac{\partial (x^2+5xy+\phi (y)))}{\partial y}=Q(x,y))\\\\5y+\phi '(y)=(5x-4y)\\\\\phi '(y)=5x-9y\\\\\int\phi '(y)\partial y=\int (5x-9y)\partial y\\\\\phi (y)=5xy-\frac{9y^2}{2}\\\\\therefore u(x,y)=x^2+10xy-\frac{9y^2}{2}+c$

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