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3 years ago

Hector is competing in a 42-mile bicycle race. He has

Mathematics

1 answer:

m_a_m_a [10]3 years ago

7 0

Answer:

Let x = the hours needed for Wanda to catch up to Hector.

Hector has already completed 18 miles. Hector travels at 12 miles per hour.

After x more hours, Hector will travel

18 + 12x miles

Wanda travels at 16 miles per hour. In x hours, she travels

16x miles

If Wanda catches up to Hector, then

16x = 18 + 12x

4x = 18

x = 4.5 hours

Answer: 4 hours, 30 minutes (or 4.5 hours)

Step-by-step explanation:

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3 years ago

Each face of a number cube is a square with a side length of 16 millimeters. What is the total area of all of the faces of the n

kupik [55]

Answer:

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3 years ago

The number of rows in an auditorium can be represented by the function f(x) = 80x. the number of seats in each row can be repres

Dominik [7]

Applying multiplication of functions, the total number of seats in the auditorium is given by:

h(x) = 80x² + 560x.

<h3>How polynomial functions are multiplied?</h3>

They are multiplied applying the distributive property, that is, all the terms are multiplied and then the common terms are added.

In this problem, the functions are given as follows:

f(x) = 80x.

g(x) = x + 7.

Then the multiplication is:

h(x) = f(x)g(x) = 80x(x + 7) = 80x² + 560x.

More can be learned about multiplication of functions at brainly.com/question/13136492

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