Margaret is treating her best friend to a birthday dinner. Before ordering, Margaret wants to have an idea of the final bill. The order includes one appetizer for $6.50, two main courses for $15.75 each, two drinks for $2.25 each, and two desserts for $7.25 each. Round each amount up to the nearest whole dollar to find an overestimate of the total cost.

We can solve the system of equations to check the number of system of the solutions.

y=-6x+2 ...(1)

-12x-2y=-4 ...(2)

Substitute -6x+2 for y in equation (2). So,

-12x-2(-6x+2)=-4

-12x+12x-4=-4 (By distribution property).

-4=-4 (-12x and +12x has been cancel out).

Notice x has vanish from the above equation and we are left with -4=-4 which is correct.

So, the system has infinte number of solutions.

Answer:

D: Infinite number of solutions

Step-by-step explanation:

I got it right on Edge

Final answer:

Reflections in geometry involve flipping a shape over a line. This concept is seen in the real world during instances like mirror images, light reflected off smooth surfaces, and reflections on water bodies.

Explanation:

In the field of geometry, a reflection is the flipping of a shape over a line, often referred to as the mirror line. Reflections are a common occurrence in our everyday real world.

• One of the most common instances of reflection in the real world is a mirror image. When you look at yourself in a mirror, the image you see is a mirrored or reflected image of yourself.
• Similarly, the reflection of light off a smooth surface, like a glass window or shiny car, is another common real-world reflection we see daily.
• Additionally, the reflections seen on bodies of water, such as lakes or even dewdrops on a blade of grass, are examples of reflection in nature.

Learn more about Reflections in Real World here:

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