An emperor penguin is 45 inches tall. It is 24 inches taller than a rockhopper penguin. Write and solve an equation to find the height of a rockhopper penguin. Is your answer reasonable? Explain. If anyone can help ASAP that would be greatly appriciated

Respuesta :

Answer:

The height of the  rockhopper penguin be 21 inches .

Step-by-step explanation:

As given in the question be as follow .

An emperor penguin is 45 inches tall.

It is 24 inches taller than a rockhopper penguin.

Let us assume that the  height of the rockhopper penguin be x .

Equation becomes

Emperor penguin height =  Rockhopper penguin + x

45 = 24 + x

x = 45 - 24

x = 21 inches

Threrefore the height of the  rockhopper penguin be 21 inches .

Equation is the equality of two mathematical expressions. The equation for the given condition will be [tex]45 = h + 24[/tex]. Its solution gives h = 21 inches (height of the considered rockhopper penguin).

How to form mathematical equation from the given description?

You can represent the unknown amounts by the use of variables. Follow whatever the description is and convert it one by one mathematically. For example if it is asked to increase some item by 4 , then you can add 4 in that item to increase it by 4. If something is for example, doubled, then you can multiply that thing by 2 and so on methods can be used to convert description to mathematical expressions.

The height of the considered emperor penguin = 45 inches

Let the height of the considered rockhopper penguin be denoted by 'h' (in inches)

Then, as it is given that emperor penguin is 24 inches taller than a rockhopper penguin.

Thus,

[tex]45 = h + 24\\[/tex]

This is the equation that is needed.

Using that equation, we can get the height of the considered rockhopper penguin as:

[tex]45 = h + 24\\\\\\\text{Subtracting 24 from both the sides}\\\\45 - 24 = h + 24 - 24\\21 = h + 0 = h\\h = 21\\[/tex]

Thus, the height of rockhopper penguin is h inches =  21 inches

Thus, The equation for the given condition will be [tex]45 = h + 24[/tex]. Its solution gives h = 21 inches (height of the considered rockhopper penguin).

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