karla sings for 45 mins for y days each week. on the other days of the week, she plays piano for 1.5 hours. Write an expression for the total number of hours kara sings and plays the piano each week.

(10.5 - 0.75y) hours

Step-by-step explanation:

Number of days in 1 week = 7 .

Number of days in a week  Karla sings = y

Number of days Karla plays piano in a week  = Number of days in 1 week - Number of days in a week  Karla sings

Number of days Karla plays piano in a week  = 7 - y

In 1 day Karla sings for =  45 minutes

60 minutes = 1hour

45 minutes = 1/60 * 45 = 3/4 hours = 0.75 hours

In y days time for which Karla sings = y *0.75 hours= 0.75y hours

Time for which Karla plays piano in 1 day = 1.5 hours

Time  for which Karla plays piano in (7-y) day = 1.5*(7-y) hours

Total time in hours  for which karla sings and plays the piano each week

= 0.75y + 1.5*(7-y)

= 0.75 y + 10.5 - 1.5y

= 10.5 - 0.75y

Thus,  total number of hours karla sings and plays the piano each week is 10.5 - 0.75y hours

step-by-step explanation:

a.   since the profit made in 2012 is equal to the profit made in 2014, the profit is           symmetric about the line y = 120,000.

step-by-step explanation:

given that megan owns a clothing boutique.

the profits of 2010, 11, are recorded and shown as follows:

years since     2010 0     1     2     3       4       5

profits made in 1000's   39       84     111     120   111     84

we find that profit gradually increases form 2010 to 2013 upto 120,   then starts decreasing.

the profits for 2012 and 2014 are the same while that of 2011 and 2015 are also the same.

this shows that there is symmetry about the line profit = 120000

hence answer is:

a.   since the profit made in 2012 is equal to the profit made in 2014, the profit is           symmetric about the line y = 120,000.

read more on -

f(x) = - 2/3x + 5; f(5/2)

substitute 5/2 in for x:

f(5/2) = -2/3(5/2) + 5

simplify the right side:

f(5/2) = -5/3 + 5

f(5/2) = 10/3

answer:

f(5/2) = 10/3

i hope this you!