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snow_tiger [21]
3 years ago
5

A grocery a cafe a boutique and a dance studio have the addresses 500 elm ,524 elm, and 544 elm but not necessarily in that orde

r . The boutique is between the cafe and the studio has the highest address. The grocery is between the cafe and boutique. What is the address of the boutique?
Mathematics
1 answer:
grandymaker [24]3 years ago
7 0

Answer:

Studio: 544 elm

Boutique: 538 elm

Grocery: 524 elm

Café : 500 elm

Step-by-step explanation:

Hi, the question is incomplete.

The full question is:

A grocery, a cafe, a boutique, and a dance studio have the addresses 500 Elm, 524 Elm, 538 Elm, and 544 Elm, but not necessarily in that order. The boutique is between the cafe and the studio. The studio has the highest address. The grocery is between the cafe and boutique. What is the address of the boutique?

Since the grocery is between the cafe and the studio, the order of the stores is:

Cafe -grocery-boutique

Or

Boutique- grocery -cafe

If we add that the boutique is between the cafe and the studio:

Cafe -grocery-boutique-studio

Or

Studio-boutique-grocery -cafe

The studio has the highest address so

Studio: 544 elm

Boutique: 538 elm

Grocery: 524 elm

Café : 500 elm

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Answer:

The points for the given to linear equations is (5 , - 2) and (5 , - 1)

The points is plotted on the graph shown .

Step-by-step explanation:

Given as :

The two linear equation are

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Now, Solving both the linear equations

Put the value of y from eq 2 into eq 1

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∴ x = 5

Now, Put the value of x in eq 1

So, y = \dfrac{-1}{5}x - 1      

Or, y = \dfrac{-1}{5}× 5 - 1              

or,  y = \dfrac{-5}{5} - 1

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I.e y = -2

So, For x = 5 , y = - 2

Point is (x_1 , y_1) = (5 , - 2)

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Or, y = \dfrac{4}{5}× 5 - 6

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So, For x = 5 , y = - 2

Point is (x_2 , y_2) = (5 , - 2)

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The points is plotted on the graph shown . Answer

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