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Butoxors [25]
1 year ago
10

Nathan practices the piano 1260 minutes in 3 weeks. At what rate did she practice, in minutes per day?

Mathematics
2 answers:
irinina [24]1 year ago
6 0

Answer:

60 minutes per day.

Step-by-step explanation:

There are  21 days in 3 weeks.

So the required rate = 1260/21

= 60 minutes per day.

morpeh [17]1 year ago
4 0

Answer:

60 minuets per day

Step-by-step explanation:

3 weeks = 21 days

1260/21 = 60

60 minuets per day (1 hour)

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What does x equal in this equation -5x + 8 = -2
AnnyKZ [126]

Answer:

x = 2

Step-by-step explanation:

-5x + 8 = -2

-5x + 8 - 8 = -2 -8

-5x = -10

-5x/5 = -10/5

-x = -2

x=2

8 0
2 years ago
Read 2 more answers
Find a recursive formula for the sequence:<br><br> 1, -1, -7, -25
Mumz [18]
<h3>Answer:</h3>

a_n=3a_{n-1}-4

<h3>Step-by-step explanation:</h3>

<em>Try the answers</em>

You can try the answers to see what works. You can expect all of the choices to match the first two terms, so try some farther down. Let's see if we can get -25 from -7.

a) 3*(-7) -4 = -21 -4 = -25 . . . . this one works

b) -7 -2 = -9 . . . . ≠ -25

c) -3(-7) +2 = 21 +2 = 23 . . . . ≠ -25

d) -2(-7) +1 = 14 +1 = 15 . . . . ≠ -25

The formula that works is the first one.

_____

<em>Derive it</em>

All these formulas depend on the previous term only, so we can write equations that show the required relationships. Let the unknown coefficients in our recursion formula be p and q, as in ...

a_n=p\cdot a_{n-1}+q

Then, to get the second term from the first, we have

... 1·p +q = -1

And to get the third term from the second, we have

... -1·p +q = -7

Subtracting the second equation from the first gives ...

... 2p = 6

... p = 3 . . . . . . . this is sufficient to identify the first answer as correct

We can find q from the first equation.

... q = -1 -p = -1 -3 = -4

So, our recursion relation is ...

a_n=3a_{n-1}-4

6 0
3 years ago
9x + Зу = -3<br> 2х - у = -4
Irina18 [472]
Answer: (-1, 2)

explanation:

3(2x-y=-4)
6x-3y=-12

9x+3y=-3
6x-3y=-12

15x=-15
x=-1

2(-1) - y = -4
-2-y=-4
-y=-2
y=2
5 0
2 years ago
a group of 60 children went on a trip to the zoo 7/10 of the children had never been there how many children went to the zoo for
zvonat [6]

Answer:

42

Step-by-step explanation:

as you divide 10 into 60 and then multiply it by 7 and your answer will be 42

5 0
2 years ago
Complete the angle addition postulate for the following angle
aev [14]

Answer: AOB

This is because angle AOB on top adds with BOC down below to get the largest angle AOC. See the diagram below.

5 0
3 years ago
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