Ellie said, "You can regroup the 440 minutes Krystal
spent on each activity as hours." What does Ellie
mean? How many hours did Krystal spend on each
activity?

a. Ellie is saying that principle of conversion of units of time can be utilized to convert the number of minutes that Krystal spent on each activity to hours.

b. Krystal spent 7.33 hours or hours on each activity.

Step-by-step explanation:

    Time is any of the quantities of different measurements used to evaluate the duration of events. For example, if two men start a 100 metre race, it is time that is used to evaluate the duration of the first runner and the second runner. There are various units that are used in the measurement of time ranging from seconds to minutes to hours to days to weeks to months to years etc.

   All the units for measuring time are interrelated and can be converted from one unit to the other. 60 seconds make a minute, 60 minutes make up an hour, 24 hours make up a day. Seven days =  week, 4 weeks make a month and 12 months make a year.

a. In the question Ellie said that I can regroup the 440 minutes that Krystal spent on each activity as hours. What Ellie is virtually saying is that since all the units used in the measurement of time are interrelated for eg 7 days make a week and 4 weeks make a month, it is possible to change or convert time from one unit to another. This means that the 440 minutes that Krystal spent on each activity for eg reading books can be changed or transformed  to another unit (hours).

b. Again, since Krystal spent 440 minutes on each activity, we can calculate how many hours Krystal spent on a single activity since we already know how many minutes that make an hour:-

   Since 60 minutes make 1 hour, then the number of hours that Krystal spent on one activity is:

60 minutes ---------- 1 hour

440 minutes --------- ? hour

     440/60 × 1

  = 7.33 hours

  = hours

 Therefore Krystal spent 7.33 hours or hours on one activity

(2x + 16) + (x) = 180

step-by-step explanation:

given,

abcd is a quadrilateral inscribed in a circle

angle a is labeled x plus 16, (x + 16)

angle b is labeled x degrees, (x)

angle c is labeled 6x minus 4, (6x – 4)

angle d is labeled 2x plus 16, (2x + 16)

what equation can be used to solve for angle b?

we know that the sum of the opposite angles of a simple quadrilateral inscribed in a circle is 180 degrees.

angle b is opposite angle d

therefore, angle b + angle d = 180

(x) + (2x + 16) = 180 

same as (2x + 16) + (x) = 180

see attached

step-by-step explanation:

given the function as;

write the equation replacing f(x) with y

form   and fill a table containing values of y with corresponding values of x

you can take a range for   values of x as -3≤x≤3

solving for x=-3

for x=-2

repeat the same procedure to get the values of y for the remaining ,x=-1 to x=3

plot the values of y against values   of x and obtain the following graph