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Masja [62]
3 years ago
8

The total price of four oranges and five pears is $32 while the total price of three oranges and two pears is $17. How much is a

pear?
Mathematics
2 answers:
Ket [755]3 years ago
8 0

Answer:

A pear is 3.4

Step-by-step explanation:

sweet-ann [11.9K]3 years ago
7 0

Answer: A pear cost $4.

Step-by-step explanation:

If the total price of four oranges and five pears is $32 then we could represent it by the equation  4x + 5y = 32   where x is cost of one orange and y is the cost of one pear.

The same way we could represent the second statement by the equation

3x + 2y = 17      

We know have the two systems of equations:

4x + 5y = 32

3x + 2y = 17         Solve using the elimination method

  Multiply the top equation by -3 and the down equation by 4 to eliminate x.

-3(4x + 5y) = -3(32) =  -12x - 15y = -96

 4(3x +2y) = 4(17)  =   12x + 8y = 68    

We now have the two new equations:

-12x -15y = -96      Add both equations

12x + 8y = 68            

      - 7y = -28

     y= 4    

Which means the cost of one pear is $4.

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3 years ago
A packaging company is planning is in the planning stages of creating a box that include a three dimensional support inside the
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Answer:

The length of the diagonal support is 69 feet.

Step-by-step explanation:

Dimensions of the box: length = 6 feet

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The diagonal support relates with the diagonal of the base and the height.

From the base of the box, let the length of its diagonal be represented by x. Applying Pythagoras theorem;

/Hyp/^{2} = /Adj 1/^{2} + /Adj 2/^{2}

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let the length of the diagonal support be represented by l. So that;

/Hyp/^{2} = /Adj 1/^{2} + /Adj 2/^{2}

l^{2} = x^{2} + 8^{2}

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6 0
3 years ago
Shamir and Juliet are traveling at constant rates in their cars. If Shamir travels
snow_lady [41]

How much farther than Shamir will Juliet travel in one hour is : b. 3 miles.

<h3>Distance</h3>

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4 years ago
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