Frank decided to keep track of his sleep using a fitness tracker. He was surprised to learn that there was 21 minutes of awake time during the seven hours when he was
supposed to be asleep at night. What percentage of the seven hours was Frank awake during the night?
%

5%

Step-by-step explanation:

First and foremost, we need to know that 60 minutes = 1 hour. Therefore,

7 hours = 60 × 7 = 420 minutes.

Number of minutes awake = 21 minutes

Number of minutes supposed to be asleep = 7 hours = 420 minutes

The percentage of the seven hours that Frank was awake during the night will be:

= 21/420 × 100

= 1/20 × 100.

= 5%

options a,b,c are the right answer.

step-by-step explanation:

a linear parent function is always represented as y = x

if we write this function in the form of y=mx+c

⇒

or  

now if we plot a graph we will find these characteristics:

1) y intercept of the graph is zero so its a straight line passing through origin.

2) as we can see in both the forms of function written, values of x and y may be either positive or negative for the positive slope means points on the graph are either in first quadrant or in third one.

3) it's slope is one.

37/3

step-by-step explanation:

step 1: simplify both sides of the equation.

7x+8(x+

1

4

)=3(6x−9)−8

7x+(8)(x)+(8)(

1

4

)=(3)(6x)+(3)(−9)+−8(distribute)

7x+8x+2=18x+−27+−8

(7x+8x)+(2)=(18x)+(−27+−8)(combine like terms)

15x+2=18x+−35

15x+2=18x−35

tep 2: subtract 18x from both sides.

15x+2−18x=18x−35−18x

−3x+2=−35

step 3: subtract 2 from both sides.

−3x+2−2=−35−2

−3x=−37

step 4: divide both sides by -3.

−3x

−3

=

−37

−3

x=

37

3