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My name is Ann [436]
3 years ago
6

The serving size for the granola that Wilma likes to eat for breakfast is 1/2 cup. How many servings are there in a box that hol

ds 32 cups?
Mathematics
2 answers:
emmasim [6.3K]3 years ago
4 0
Total cups divided by portion size equals number of servings.

x= number of servings

x= 32 cups ÷ 1/2 cups
Multiply by the 1/2 reciprocal (inverse)
x= 32 x 2/1
x= 64 servings in a 32 cup box

Hope this helps! :)
olchik [2.2K]3 years ago
3 0
The answer Is 64

Hope this helps
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mario62 [17]

5 - 4x < 95 \\  - 4x  < 95 - 5 \\  - 4x = 90 \\ x =  -  \frac{90}{4}  \\  \boxed{ x =  -  \frac{45}{2} }

8 0
2 years ago
You have D dollars to buy fence to enclose a rectangular plot of land (see figure at right). The fence for the top and bottom co
alex41 [277]

The perimeter of the rectangular plot of land is given by the expression below

P=2x+2y

On the other hand, since the available money to buy fence is D dollars,

\begin{gathered} D=4(2x)+3(2y) \\ \Rightarrow D=8x+6y \\ D\rightarrow\text{ constant} \end{gathered}

Furthermore, the area of the enclosed land is given by

A=xy

Solving the second equation for x,

\begin{gathered} D=8x+6y \\ \Rightarrow x=\frac{D-6y}{8} \end{gathered}

Substituting into the equation for the area,

\begin{gathered} A=(\frac{D-6y}{8})y \\ \Rightarrow A=\frac{D}{8}y-\frac{3}{4}y^2 \end{gathered}

To find the maximum possible area, solve A'(y)=0, as shown below

\begin{gathered} A^{\prime}(y)=0 \\ \Rightarrow\frac{D}{8}-\frac{3}{2}y=0 \\ \Rightarrow\frac{3}{2}y=\frac{D}{8} \\ \Rightarrow y=\frac{D}{12} \end{gathered}

Therefore, the corresponding value of x is

\begin{gathered} y=\frac{D}{12} \\ \Rightarrow x=\frac{D-6(\frac{D}{12})}{8}=\frac{D-\frac{D}{2}}{8}=\frac{D}{16} \end{gathered}<h2>Thus, the dimensions of the fence that maximize the area are x=D/16 and y=D/12.</h2><h2>As for the used money,</h2>\begin{gathered} top,bottom:\frac{8D}{16}=\frac{D}{2} \\ Sides:\frac{6D}{12}=\frac{D}{2} \end{gathered}<h2>Half the money was used for the top and the bottom, while the other half was used for the sides.</h2>

7 0
8 months ago
1/2x+2 in linear equation
Bogdan [553]

x/2+2 = 0

x+4/2 = 0

x+4 = 0

4 0
2 years ago
Juanita and lauren are painting a circular mural on one wall of the community center. The area of the mural is 33 square meters
tangare [24]

Answer:

The radius is 3.24102 meters

Step-by-step explanation:

We are given

area of mural is 33 m^2

Since, the shape of mural is circular

Let's assume radius of circle as 'r'

so, we can use area of circle formula

A=\pi r^2

now, we can set A=33

and then we can solve for r

33=\pi r^2

we get

r^2=\frac{33}{\pi }

r=3.24102

So,

The radius is 3.24102 meters


8 0
3 years ago
In right triangle LMN, ∠N is a right angle and cos M = 4685. What is m∠L to the nearest degree?
MakcuM [25]
Cos m = .4685
cos^-1(.4685) = 62 degrees
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3 years ago
Read 2 more answers
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