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2 years ago

What two things did the delegates disagree about that forced them to make compromises

1 answer:

8 0

The number of representatives each state had and slaves being counted as part of the population are the two things did the delegates disagree about that forced them to make compromises. In addition, the legislative, executive and judicial branch is the three branches of the government that is created by the new constitution.

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Suppose the population of a species of insects doubles every year. There are 1600 insects initially. The function f(x) =1600 · 2

DIA [1.3K]

Answer:

12,800

Step-by-step explanation:

8 0

2 years ago

a lunch stand makes a $.75 profit on each chef's salad and $1.20 profit on each caesar salad. On a typical weekday, it sells bet

tangare [24]

Answer:

50 Chef's salads and 50 Caesar salads should be prepared in order to maximize profit.

Step-by-step explanation:

Suppose, the number of Chef's salad is $x$ and the number of Caesar salad is $y$

On a typical weekday, it sells between 40 and 60 Chefs salads and between 35 and 50 Caesar salads.

So, the two constraints are: $40\leq x\leq 60$ and $35\leq y\leq 50$

The total number sold has never exceed 100 salads. So, another constraint will be: $x+y\leq 100$

According to the graph of the constraints, the vertices of the common shaded region are: $(40,35), (60,35), (60,40), (50,50)$ and $(40,50)$ (Refer to the attached image for the graph)

The lunch stand makes a $.75 profit on each Chef's salad and $1.20 profit on each Caesar salad. So, the profit function will be: $P=0.75x+1.20y$

For (40, 35) , $P=0.75(40)+1.20(35)=72$

For (60, 35) , $P=0.75(60)+1.20(35)=87$

For (60, 40) , $P=0.75(60)+1.20(40)=93$

For (50, 50) , $P=0.75(50)+1.20(50)=97.5$ (Maximum)

For (40, 50) , $P=0.75(40)+1.20(50)=90$

Profit will be maximum when $x=50$ and $y=50$

Thus, 50 Chef's salads and 50 Caesar salads should be prepared in order to maximize profit.

6 0

2 years ago

Which graph shows the lowest cost per square foot for a new home?

aliina [53]

We are given following coordinates in given graphs (1000,12000), (1500, 16000), (500 , 8000) , (2000, 18000).

Let us discribe each given coordinate and cost per square foot area for each coordinate (in each graph).

1st (1000,12000) : represnts 1000 square foot area cost $12000.

Cost per square feet = 12000/1000 = $12.

2nd (1500, 16000) : represnts 1500 square foot area cost $16000.

Cost per square feet = 16000/1500 = $10.67.

3rd (500 , 8000) : represnts 500 square foot area cost $8000.

Cost per square feet = 8000/500 = $16.

4th (2000, 18000) : represnts 2000 square foot area cost $18000.

Cost per square feet = 18000/2000 = $6.

Therefore, 4th graph with (2000, 18000) coordinate shows the lowest cost that is $6 per square foot for a new home.

3 0

2 years ago

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Each of the 10 students in the baking club made 2 chocolate cakes for a fundraiser. They all used the same recipe, using C cups

8090 [49]

Answer:

The expression is C/20 cups of flour in one cake

Step-by-step explanation:

* Lets explain how to solve the problem

- There are 10 students

- Each one made 2 chocolate cakes

- They all used the same recipe

- The total amount of flour is C cups

* Lets change these information to equation

∵ There are 10 students

∵ Each student made 2 cakes

∴ The total number of cakes = 10 × 2 = 20 cakes

∵ The total amount of flour for the twenty cakes is C cups

- To find the amount of flour in each cake divide the total amount

of flour by the total number of the cakes

∴ The amount of flour in each cake = C/20

* The expression is C/20 cups of flour in one cake

7 0

2 years ago

What is the period of the function f(x) shown in the graph?

MariettaO [177]

Answer:

(0,-2)

Step-by-step explanation:

4 0

1 year ago

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