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taurus [48]
3 years ago
14

Susan wants to make pumpkin bread and coffee cakes for the school bake sale. She has 15 eggs and 16 cups of flour in her pantry.

Her pumpkin bread recipe uses 2 eggs and 3 cups of flour. Her coffee cake recipe uses 3 eggs and 4 cups of flour. She plans to sell pumpkin bread loaves for $5 each and coffee cake loaves for $4 each. Susan wants to maximize the money raised at the bake sale. Let x represent the number of loaves of pumpkin bread and y represent the number of loaves of coffee cake Susan bakes.
What is the objective function for the problem?
P = 15x + 16y
P = 5x + 7y
P = 5x + 4y
P = 4x + 5y
Mathematics
1 answer:
aev [14]3 years ago
6 0
<span>15 eggs and 16 cups flour </span>
<span>Pumpkin bread (x) : 2 eggs & 3 cups of flour </span>
<span>Coffee cake (y) : 3 eggs & 4 cups of flour </span>
<span>2x + 3y ≤ 15 { number of eggs used} </span>
<span>3x + 4y ≤ 16 { number of cups of flour used } </span>
<span>Objective function </span>
<span>P = 5x + 4y</span>
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Does the chart below represent a proportional relationship? What is the rate of change?
Lilit [14]

This chart represents a proportional relationship. The rate of change will be 4.

<h3>What is the constant of proportionality?</h3>

Firstly, there is a proportional relationship.

Two values x  and y are said to be in a proportional relationship if x=ky, where x and y are variables and k is a constant.

The constant k is called the constant of proportionality.

Given;

x y

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2 8

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Here, x = ky

put the first value

k = 1/4

This chart represents a proportional relationship.

So the rate of change will be

Rate = \dfrac{y_2 - y_1}{x_2 - x_1}\\\\Rate = \dfrac{8 - 4}{2 - 1}\\\\Rate = 4

Learn more about proportional ;

brainly.com/question/20048815

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5 0
2 years ago
What is the ratio of the intensities of an earthquake PP wave passing through the Earth and detected at two points 19 kmkm and 4
Tamiku [17]

Answer:

The ratio of the intensities is roughly 6:1.  

Step-by-step explanation:

The intensity I() of an earthquake wave is given by:

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<em>where P: is the power ans d: is the distance. </em>

Hence, the ratio of the intensities of an earthquake wave passing through the Earth and detected at two points 19 km and 46 km from the source is:

\frac{I_{1}}{I_{2}} = \frac{P/4\pi d_{1}^{2}}{P/4\pi d_{2}^{2}}

<em>where I₁ = P/4πd₁², d₁=19 km, I₁ = P/4πd₂² and d₂=46 km     </em>

\frac{I_{1}}{I_{2}} = \frac{d_{2}^{2}}{d_{1}^{2}}

\frac{I_{1}}{I_{2}} = \frac{46 km^{2}}{19 km^{2}}

\frac{I_{1}}{I_{2}} = 5.9:1

Therefore, the ratio of the intensities is roughly 6:1.  

 

I hope it helps you!    

3 0
3 years ago
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LekaFEV [45]

Answer:

x= 8 inches

Step-by-step explanation:

you left out the other lengths but since i had this same question once, the other lengths are 12 and 2-

dimensions of the box:

12 in x 2 in x ?

=272 square inches

and we know that there are 6 faces

area=  2 *(12 * 2) + 2 *(2*x) + 2 *(12*x)

area = 272 sq. in.  = 48 + 4x + 24x

272 = 48 + 28x

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224 = 28x

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good luck :)

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have a nice day!

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irrational: nos. which cannot be written in p/q form

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