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TEA [102]
3 years ago
14

A student reads 3⁄5 of a book in 30 minutes. How much of the book will be read, if the student reads at the same speed for 40 mi

nutes? Write your answer as a fraction of the book.
Mathematics
2 answers:
Shalnov [3]3 years ago
4 0
In 30 minutes he reads 3/5 of the book 
so in 1 minute he reads 3/5 / 30  = 3/150 = 1/50
in 40 minutes he will read 40  * 1/50     = 4/5 

4/5 of the book
klasskru [66]3 years ago
3 0
The answer would be 24
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Expand the binomial (2x + y2)5.
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To expand, you just take the 5 and multiple by each individual factor.
10 x 5x + 5y x 10
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3 years ago
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At the end of October, Jane's credit card balance was $1,200. On November 16, she made $500 of purchases. On November 26, she pa
Elodia [21]

Answer:

Average day end balance using weighted average = $1,316.667

Average day end balance using simple average = $1,050

Step-by-step explanation:

Provided opening balance = $1,200

During the month addition in such balance = $500

New balance as on 16 November = $1,200 + $500 = $1,700

Further by the end of month of November balance after payment = $1,700 - $800

= $900

Thus, opening balance = $1,200

Closing = $900

Simple average = \frac{1,200 + 9,00}{2} = 1,050

Day end balance = $1,050

For this weighted average can be done

First 15 days balance = $1,200 as no transaction was done.

From 16  to 25 November balance increased by $500 = $1,700 for 10 days

Remaining days = 5 days = $1,700 - $800 paid = $900

Using weighted average we have

\frac{(1,200 \times 15) + (1,700 \times 10) + (900 \times 5)}{30} = \frac{39,500}{30} = 1,316.667

Day end balance = $1,316.667

3 0
3 years ago
X + ky = 1
Marina CMI [18]
X + k y = 1
k x + y = 1  / * ( - k )
----------------
      x + k y = 1
- k² x - k y = - k
--------------------
x - k² x = 1 - k
x ( 1 - k² ) = 1 - k
x = ( 1 - k ) / ( 1 - k² ) = ( 1 - k ) / ( 1 - k ) ( 1 + k )
y = 1 - k( 1 - k )/( 1 - k² )
y = ( 1 - k ) / ( 1 - k² ) = ( 1 - k ) / ( 1 - k ) ( 1 + k )
a ) For  k = - 1 this system has no solution.
b ) For k ≠ - 1 and k ≠ 1, the system has unique solution:
( x , y ) = ( 1/ (1 + k) ,  1/( 1 + k ) ).
c ) For k = 1, there are infinitely many solutions.

3 0
2 years ago
Cindy plans to shop for her school supplies and wants to know how much money she would need to spend. from her friend she knows
vlabodo [156]

Let the cost of 1 notebook be x and the cost of 1 binder be y.

4 notebooks and 3 binders would cost 23.5

Therefore, 4x + 3y = 23.5     (1)

7 notebooks and 6 binders would cost 44.5

Therefore, 7x + 6y = 44.5     (2)

Multiply the first equation by 2.

8x + 6y = 47     (3)

(3) - (2) gives

x = 2.5

Substitute the value of x in (1), we get,

4(2.5) + 3y = 23.5

10 + 3y = 23.5

3y = 23.5 - 10

3y = 13.5

y = 13.5/3

y = 4.5

Hence, cost of 5 notebooks and 3 binders is:

5x + 3y = 5(2.5) + 3(4.5)

           = 12.5 + 13.5

           = 26

Hence, cost of 5 notebooks and 3 binders is $26.

4 0
3 years ago
Express 73 kilometers per hour in miles per hour
lorasvet [3.4K]
45.36km/hr.............. ...........
5 0
3 years ago
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