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mafiozo [28]
3 years ago
8

Francis teaches the piano. He charges each student an enrollment fee of $100 plus $15 per hour of piano lessons. The average cos

t of lessons for a student per hour is $25.

Mathematics
1 answer:
DanielleElmas [232]3 years ago
7 0
I added screenshots with the complete question as well as the available choices.

Answer:
25 = \frac{100+15h}{h}

which is the first option

Explanation:
We given that:
He charges $100 as enrollment fees and $15 per hour
Given that the number of hours is h, the total cost for h hours will be:
cost = 100 + 15h ...........> I

We are also given that:
The average cost per hour is $25.
This means that:
\frac{cost}{hour} = $25 ............> II

Divide both sides of equation I by h:
\frac{cost}{hour} = \frac{100+15h}{h}

Substitute with \frac{cost}{hour} = 25 to get the equation used to solve for h as follows:
25 = \frac{100+15h}{h}

Hope this helps :)



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Genrish500 [490]

Answer:

12 cm

Step-by-step explanation:

The Pythagorean Theorem is as follows:

a^{2} +b^{2} =c^{2}

A and B represent the side lengths (legs) and C represents the hypotenuse.

The length of one leg equals 5cm. (This can be represented by either a or b)

The hypotenuse equals 13 cm.

Plug these into the equation from above:

a^{2} + (5^{2}) = (13^{2})

Solve for the other leg:

   a^{2} + 25 = 169                          Square what's in the parentheses from above

a^{2} = 144\\                                  Subtract 25 from 169

\sqrt{a^{2} } = \sqrt{144}                            Square root both sides

a = 12 cm                        

Thus, the length of the other leg is 12 cm.

Let's check our answer:

12^{2} +5^{2} =13^{2}                        Square everything

144 + 25 = 169                      Add

169 = 169

Because both sides are equal it means that 12 cm is the correct answer.

Hope this helps!!

3 0
2 years ago
Is 3/2 greater than 1? Or Less than
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Answer:

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Step-by-step explanation:

A little trick to immediately know if a number is more or less than when it involves fractions versus whole numbers is that improper fractions will always be greater than 1.

If you want to confirm this, dividing 3/2 equals 1.5, ergo 1.5 > 1.

In essence, improper fractions will always represent a number greater than one contrasted to proper fractions because if you put it on a perspective (let's say you have 13 pie slices but you only needed 12, that means there is a pie slice that's extra that makes it greater than the original pie slices).

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