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Svetach [21]
3 years ago
6

23. Mr. Gomez bought fruit to make fruit salad. He bought 2 poundsFruit of apples and spent $4.50 on apples and oranges. Write a

nd solve an equation to determine the number of pounds of oranges Mr. Gomez bought.

Mathematics
2 answers:
TEA [102]3 years ago
7 0
Equation: $1.20 x 4 = $4.80. This means that Mr. Gomez could've bought 2 of each fruit (because they cost the same)
Lynna [10]3 years ago
6 0

Answer:

(2*1.20)+(X*1.20)=4.50

X=1.75

Step-by-step explanation:

The first term of the equation represents the amount of money Mr. Gomez spent in apples, knowing he bought 2 pounds of apples and each pound costs 1.2. In total he spent 2.4 in apples.

The second term represents what he spent in oranges. We do not know how much oranges he bought, represented by X, but what we do know is the price per pound, what is 1.2

The total he spent between oranges and apples is 4.5

Solving the equation:

(2*1.20)+(X*1.20)=4.50

2.4+(X*1.2)=4.5

X*1.2=4.5-2.4

X*1.2=2.1

X=2.1/1.2

X=1.75

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8 0
3 years ago
What is the maximum value of the objective function, P, with the given constraints?
maksim [4K]

Answer:

Option C - 420

Step-by-step explanation:

Given : Objective function, P, with the given constraints

P=20x+35y

Constraints,

x+y \leq 12

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To find : What is the maximum value

Solution :

First we plot the graph through the given constrains.

As they all move towards the origin the common region of the equations is given by the points (0,0), (0,12), (2,10), (4,0)

Refer the attached figure.

So, we put all the points in P to, get maximum value.

P=20x+35y

  • Point (0,0)

P=20(0)+35(0)=0

P=20x+35y

  • Point (0,12)

P=20(0)+35(12)=420

  • Point (2,10)

P=20(2)+35(10)=40+350=390

  • Point (4,0)

P=20(4)+35(0)=80

Therefore, The value is maximum 420 at (0,12)

So, Option C is correct.

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3 years ago
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elena-14-01-66 [18.8K]

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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