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N76 [4]
2 years ago
9

(PLEASE HELP !) Gabe spent $2000 to buy a piano for his music studio. He earns $25 per hour giving piano lessons to students. Le

t h be the number of hours of lessons that Gabe teaches. How many hours of lessons must Gabe teach to earn a $5000 profit?
the amount of hours Gabe must give lessons, then solve the equation to find the number of hours.

You will receive 5 points for your equation and 5 points for your work and answer. You cannot receive full credit for this problem without showing your work for solving your equation.
Mathematics
1 answer:
EastWind [94]2 years ago
6 0

Answer:

280 hours

Step-by-step explanation:

Amount paid + profit = cost of a lesson per hour

$2000   + $5000 = $25(h)

7000 = 25h

7000/25 = h

   280 = h

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Fast-food restaurants spend quite a bit of time studying the amount of time cars spend in their drive-throughs. Certainly, the f
melisa1 [442]

Answer:

For the 99th percentile, we have X = 206 seconds.

Step-by-step explanation:

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

\mu = 138.5, \sigma = 29

99th percentile:

Value of X when Z has a pvalue of 0.99. So we use Z = 2.325

Z = \frac{X - \mu}{\sigma}

2.325 = \frac{X - 138.5}{29}

X - 138.5 = 29*2.325

X = 205.92 = 206

For the 99th percentile, we have X = 206 seconds.

4 0
3 years ago
4/x-7=7/x+6<br><br> What is x
marissa [1.9K]

Answer:

21

Step-by-step explanation:

4x + 24 = 7x - 49  \\ then \: collect \: the \: same \: variable \\ 4x - 7x =  - 49 - 24 \\ x =  - 63 \div  - 3 = 21

6 0
3 years ago
Tyler goes running every 6 days. Steve goes running every 9 days. If they both ran today, in how many days will they run togethe
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5 runs more. 5 runs more
8 0
3 years ago
Lin lines the bottom of her first pan with aluminum foil. The area of the rectangular piece of foil 11 1 4 is square inches. Its
prisoha [69]

Answer:

Length =

= 5/2 inches or 2 1/2 inches

Step-by-step explanation:

Lin lines the bottom of her first pan with aluminum foil. The area of the rectangular piece of foil 11 1 4 is square inches. Its length is 4 1 2 inches. What is the width of the foil? Explain your reasoning.

Area of rectangle = Length × Width

Widths = Area/Length

The area of the rectangular piece of foil 11 1/4 is square inches.

Its length is 4 1 /2 inches.

Hence:

Length = 11 1/4 /4 1/2

= 45/4 ÷ 9/2

= 45/4 × 2/9

= 5/2 inches

= 2 1/2 inches

6 0
3 years ago
What is the solution to the equation 5(x-3) = 2(x+3)?
VikaD [51]
Answer:
x = 7


General Formulas and Concepts:
Order of Operations: BPEMDAS


Step-by-Step Explanation:
Step 1: Define
5(x - 3) = 2(x + 3)

Step 2: Solve for x
1. Distribute: 5x - 15 = 2x + 6
2. Subtract 2x on both sides: 3x - 15 = 6
3. Add 15 on both sides: 3x = 21
4. Divide both sides by 3: x = 7
8 0
3 years ago
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