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tresset_1 [31]
3 years ago
13

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.
If h represents the number of hours a student spends in lessons, which equation can be used to find the value of h?
Mathematics
1 answer:
Kryger [21]3 years ago
7 0

Answer:

y=15x+100

Step-by-step explanation:

increases by 15, 100 is starting free

You might be interested in
An ordinary Fair die is a cube with the number 1 through 6 on the sides (represented by painted spots). imagine that such a die
aleksandrvk [35]

Event A Answer: \frac{5}{12}

<u>Step-by-step explanation:</u>

sum greater than 7 leaves are the following combinations for 8, 9, 10, 11, and 12:

8 = 26, 35, 44, 51, 62  (5 possibilities)

9 = 36, 45, 54, 63  (4 possibilities)

10 = 46, 55, 64  (3 possibilities)

11 = 56, 65  (2 possibilities)

12 = 66  (1 possibility)

This is a total of 15 possibilities out of 36 total: \frac{15}{36} = \frac{5}{12}

***********************************************************************************

Event B Answer: \frac{1}{2}

<u>Step-by-step explanation:</u>

sum is an even number means both dice are odd or both dice are even.  That results in the following combinations:

11   13  15

22  24  26

31  33  35

42  44  46

51  53  55

62  64  66

This is a total of 18 possibilities out of 36 total: \frac{18}{36} = \frac{1}{2}

7 0
3 years ago
Isn't the answer 720 or am I wrong?
Anna [14]
You are correct
6 sides, s<span>um of i</span><span>nterior angles = 720</span>
6 0
3 years ago
Cos(x+y)/cosxcosy+tanxtany=1
adelina 88 [10]

Answer:

See explanation

Step-by-step explanation:

Use formula

\cos (x+y)=\cos x\cos y-\sin x\sin y

Substitute it into the first fraction:

\dfrac{\cos (x+y)}{\cos x\cos y}\\ \\=\dfrac{\cos x\cos y-\sin x\sin y}{\cos x\cos y}\\ \\=\dfrac{\cos x\cos y}{\cos x\cos y}-\dfrac{\sin x\sin y}{\cos x\cos y}\\ \\=1-\dfrac{\sin x}{\cos x}\cdot \dfrac{\sin y}{\cos y}\\ \\=1-\tan x\tany

Consider the whole expression:

\dfrac{\cos (x+y)}{\cos x\cos y}+\tan x\tan y\\ \\=1-\tan x \tan y+\tan x\tan y\\ \\=1

Done!

6 0
3 years ago
Sara says, "If you subtract 14 from my number and multiply the difference by - 3, the result is – 42."
Oxana [17]

Answer:

Sara's number is 28

Step-by-step explanation:

Let's assign Sara's number the variable x and solve this equation using the information provided.

"If you subtract 14 from my number"

x - 14

"and multiply the difference by - 3"

-3(x - 14)

"the result is – 42."

-3(x - 14) = -42

Now we can solve from here for x.

-3(x - 14) = -42

x - 14 = 14

x = 28

4 0
3 years ago
Select the correct answer.
Anna11 [10]

Answer:

A

Step-by-step explanation:

Your question is not understood

6 0
3 years ago
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