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ioda
3 years ago
11

Mary has made is going to make muffins. She needs 36 ounces. She has 16 ounces. How many more cups does she need?

Mathematics
1 answer:
pickupchik [31]3 years ago
6 0
36 ounces - 16 ounces = 20 ounces so that should add up to about 2.5cups 
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A farmer has 300 ft of fence to enclose 2 adjacent rectangular pens bordering his barn. Find the maximum area he can close.
Margarita [4]

Answer:

Width of 37.5 feet and length of 50 feet will maximize the area.

Step-by-step explanation:

Let w represent width and l represent length of the pen.

We have been given that a farmer has 300 ft of fence to enclose 2 adjacent rectangular pens bordering his barn. We are asked to find the dimensions that will maximize the area.

We can see from the attachment that the perimeter of the pens would be 4w+3l.

We can set our given information in an equation 4w+3l=300.

The area of the two pens would be A=2l\cdot w.

From perimeter equation, we will get:

w=\frac{300-3l}{4}

Substituting this value in area equation, we will get:

A=2l\cdot (\frac{300-3l}{4})

Since we need to maximize area, so we need to find derivative of area function as:

A=\frac{600l-6l^2}{4}

Bring out the constant:

A=\frac{1}{4}*\frac{d}{dl}(600l-6l^2)

A=\frac{1}{4}*(600-12l)

A=150-3l

Now, we will set our derivative equal to 0 as:

150-3l=0

150=3l

\frac{150}{3}=\frac{3l}{3}

50=l

Now, we will substitute l=50 in equation w=\frac{300-3l}{4} to solve for width as:

w=\frac{300-3(50)}{4}

w=\frac{300-150}{4}

w=\frac{150}{4}

w=37.5

Therefore, width of 37.5 feet and length of 50 feet will maximize the area.

8 0
3 years ago
A group of friends on a camping trip has 3 2/5 pound of Trail Mix they divided up evenly among themselves each person gets 1/5 l
Trava [24]
There are 17 people. 3 Times 5 = 15 + 2 = 17
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3 years ago
I need help plz help me
Marta_Voda [28]

Answer:

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7 0
3 years ago
Write the word sentence as an inequality. A number z is fewer than 3/4.
sdas [7]

Answer:

z

Step-by-step explanation:

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3 years ago
Rick bikes 24 miles in 3/4 of an hour.what is his speed in miles per hour.
jenyasd209 [6]

Answer:

32 MPH

Step-by-step explanation:

MPH= Distance/Time

24/(3/4)= 24*4/3 = 96/3 = 32 MPH

7 0
3 years ago
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