# Before beginning voice lessons, Elizabeth already knew how to sing 15 pieces, and she expects to learn 2 new pieces during each week of lessons. How many weeks of lessons will Elizabeth need before she will be able to sing a total of 47 pieces?

16 weeks.

The first step is to find out how many more pieces she needs to learn

47 pieces - 15 pieces ( that she already knows = 32 pieces left to learn

She learns 2 pieces per week, per means to divide so divide 32 by 2

By signing up, you agree to our Terms of Service and Privacy Policy

So the number of weeks to learn 32 more songs is 16

Using ratio:

But we need to learn 32 so we have

So the number of weeks to learn 32 more songs is 16

By signing up, you agree to our Terms of Service and Privacy Policy

To find out how many weeks of lessons Elizabeth will need to sing a total of 47 pieces, we can set up an equation:

Let ( x ) represent the number of weeks of lessons Elizabeth will need.

Given that she already knows how to sing 15 pieces and expects to learn 2 new pieces each week, the total number of pieces she will know after ( x ) weeks can be represented as ( 15 + 2x ).

We want this total to be equal to 47:

[ 15 + 2x = 47 ]

Now, solve for ( x ):

[ 2x = 47 - 15 ] [ 2x = 32 ] [ x = \frac{32}{2} ] [ x = 16 ]

Therefore, Elizabeth will need 16 weeks of lessons before she will be able to sing a total of 47 pieces.

By signing up, you agree to our Terms of Service and Privacy Policy

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

- 98% accuracy study help
- Covers math, physics, chemistry, biology, and more
- Step-by-step, in-depth guides
- Readily available 24/7