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Vladimir79 [104]
3 years ago
10

 A construction contractor is purchasing granite tiles for a new kitchen floor. Each tile costs $5 and he wants to spend less th

an $1,500. The size of each tile is 1 square foot. a. Write an inequality that represents the number of tiles he can purchase with a limit of $1,500 
b. Figure out how large the new kitchen floor can be
Mathematics
1 answer:
alina1380 [7]3 years ago
6 0
P= sum of money he has= 1500$
each tile cost 5 dollars 
1500= 5x
x= 300 tiles

b.  Area of each square tiles = base x height = 1(1) = 1 square foot

1 (300) = 300 square foot 
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Two numbers whose sum is 44 and whose product is a maximum
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Answer:

x = y = 22

Step-by-step explanation:

It would help to know your math course. Do you know any calculus? I'll assume not.

Equations

x + y = 44

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Solution

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Max = x (44 - x)                    Remove the brackets

Max = 44x - x^2                   Use the distributive property to take out - 1 on the right.

Max = - (x^2 - 44x )               Complete the square inside the brackets.

Max = - (x^2 - 44x + (44/2)^2 ) + (44 / 2)^2 . You have to understand this step. What you have done  is taken 1/2 the x term and squared it. You are trying to complete the square. You must compensate by adding that amount on the end of the equation. You add because of that minus sign outside the brackets. The number inside will be minus when the brackets are removed.

Max = -(x - 22)^2 + 484

The maximum occurs when x = 22. That's because - (x - 22) becomes 0.

If it is not zero it will be minus and that will subtract from 484

x + y = 44

xy = 484

When you solve this, you find that x = y = 22 If you need more detail, let me know.


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