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dalvyx [7]
3 years ago
14

A piano teacher has 4 1/2 hours available to teach in a night. Each lesson will last 1 1/2 hours. How many lessons can the teach

er schedule in a night?
Mathematics
2 answers:
Radda [10]3 years ago
8 0

change the mixed numbers into improper fractions

4 1/2 = (2*4 +1)/2= 9/2

1 1/2 = (2*1+1)/2 = 3/2

9/2 divided by 3/2

9/2 * 2/3 = 18/6 =3

She can schedule 3 lessons per night


fenix001 [56]3 years ago
3 0

Answer:

3 lessons in a night

Step-by-step explanation:

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Answer:

Exponential decay.

Step-by-step explanation:

You can use a graphing utility to check this pretty quickly, but you can also look at the equation and get the answer. Since the function has a variable in the exponent, it definitely won't be a linear equation. Quadratic equations are ones of the form ax^2 + bx + c, and your function doesn't look like that, so already you've ruled out two answers.

From the start, since we have a variable in the exponent, we can recognize that it's exponential. Figuring out growth or decay is a little more complicated. Having a negative sign out front can flip the graph; having a negative sign in the exponent flips the graph, too. In your case, you have no negatives; just 2(1/2)^x. What you need to note here, and you could use a few test points to check, is that as x gets bigger, (1/2) will get smaller and smaller. Think about it. When x = 0, 2(1/2)^0 simplifies to just 2. When x = 1, 2(1/2)^1 simplifies to 1. Already, we can tell that this graph is declining, but if you want to make sure, try a really big value for x, like 100. 2(1/2)^100 is a value very very very veeery close to 0. Therefore, you can tell that as the exponent gets larger, the value of the function goes down and gets closer and closer to zero. This means that it can't be exponential growth. In the case of exponential growth, as the exponent gets bigger, your output should increase, too.

3 0
3 years ago
An ant crept to a hole, which was 300 cm away.
ohaa [14]

Answer:

Answer 10 min

Step-by-step explanation:

Because if it crawls 40 cm per minute but it goes back 10 cm because of wind then you have to do 40-10 = 30 then you do 300 divided by 30 to get the time.

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pashok25 [27]

Answer:

1st Blank: 5

2nd Blank: 3

3rd Blank: -8

4th Blank: -8

5th Blank: 12

Step-by-step explanation:

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