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hammer [34]
3 years ago
10

The scale on a map indicates that 1 inch represents 10 miles. If two cities are 2 3 4 inches apart on a map, how many miles apar

t are the two cities?
Mathematics
2 answers:
SVEN [57.7K]3 years ago
5 0

Answer:

27.5 miles

Step-by-step explanation:

You need to multiply 2 3/4 by 10, because it says every inch represents 10 miles.

2 3/4 * 10

11/4 * 10/1 = 55/2

27 1/2 or, 27.5

Delicious77 [7]3 years ago
3 0

Answer:

Step-by-step explanation:

2340 miles

Given

1 inch represents 10 miles

thus,

1 inch on map = 10 miles in real

given the two cities are 234 inches apart on map

1 inch on map = 10 miles in real

multiplying both side by 234

1 inch*234 on map = 10 miles*234 in real

234 inch on map = 2340 miles in real.

Thus, two cities are 2340 miles apart.

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State the linear programming problem in mathematical terms, identifying the objective function and the constraints. A firm makes
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Answer:

Maximum profit at (3,0) is $27.

Step-by-step explanation:

Let  quantity of  products A=x

Quantity  of products B=y

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Product B takes time on machineL= 4 hours

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Machine M can used total time= 6hours

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According to question

Objective function Z=9x+7y

Constraints:

2x+3y\leq 6

2x+4y\leq 8

Where x\geq 0, y\geq 0

I equation 2x+3y\leq 6

I equation in inequality change into equality we get

2x+3y=6

Put x=0 then we get

y=2

If we put y=0 then we get

x= 3

Therefore , we get two points A (0,2) and B (3,0) and plot the graph for equation I

Now put x=0 and y=0 in I equation in inequality

Then we get 0\leq 6

Hence, this equation is true then shaded regoin is  below the line .

Similarly , for II equation

First change inequality equation into equality equation

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Put x= 0 then we get

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0\leq 8

Hence, this equation is true .Therefore, the shaded region is below the line.

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The feasible region is AOBA and bounded.

To find the value of objective function on points

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Put A(0,2)

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Z=0

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Z=9\times3+7\times0=27

Hence maximum value of z= 27 at point B(3,0)

Therefore, the maximum profit is $27.

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