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Karolina [17]
3 years ago
13

Becky spent 2/3 of her piano practice time on her recital piece. If she spent 25 min. on other pieces, how many hours did Becky

spend practicing?​
Mathematics
1 answer:
vichka [17]3 years ago
5 0

Answer:

Becky spend 1.25 hours in piano practicing.

Step-by-step explanation:

Let us assume that Becky spends x hours in practicing piano.

If she spent \frac{2}{3} of her piano practice time on her recital piece.  

Then she spent \frac{2x}{3} hours on her recital piece.

So, she spent (x- \frac{2x}{3} )= \frac{x}{3} hours on other pieces.

Now, given that \frac{x}{3} =25

⇒ x = 75 minutes = 1.25 hours

Therefore, Becky spend 1.25 hours in piano practicing. (Answer)

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Here is a division equation: 4/5 ÷ 2/3 = ? Write a multiplication equation that corresponds to the division equation.
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2 years ago
Find Sn for the arithmetic series 5+7+9 + … and determine the value of n for which the series has sum 165.
SVETLANKA909090 [29]

Answer:

see explanation

Step-by-step explanation:

the sum to n terms of an arithmetic sequence is

S_{n} = \frac{n}{2}[2a + (n - 1)d ]

where d is the common difference and a is the first term

here d = 9 - 7 = 7 - 5 = 2 and a = 5, hence

S_{n} = \frac{n}{2}[(2 × 5) + 2(n - 1) ]

                        = \frac{n}{2}(10 + 2n - 2)

                        = \frac{n}{2}(2n + 8)

                        = n² + 4n

When sum = 165, then

n² + 4n = 165 ← rearrange into standard form

n² + 4n - 165 = 0 ← in standard form

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n - 11 = 0 ⇒ n = 11

but n > 0 ⇒ n = 11



4 0
3 years ago
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