9/36 in the simplest form is 1/4
Let x be the unknown number. This means that "six times a number" becomes 6x. Finally, we want to compute the quotient between this quantity and 16, which leads to

Answer:
k = ½
Equation => 
Step-by-step explanation:
Constant of proportionality (k) = y/x
Using a point on the graph, (6, 3),
k = y/x = 3/6 = ½
k = ½
Equation of the line:
Plug in the value of k into
(slope-intercept form of equation for proportional relationship)
Thus:

It has not been indicated whether the figure in the questions is a triangle or a quadrilateral. Irrespective of the shape, this can be solved. The two possible shapes and angles have been indicated in the attached image.
Now, from the information given we can infer that there is a line BD that cuts angle ABC in two parts: angle ABD and angle DBC
⇒ Angle ABC = Angle ABD + Angle DBC
Also, we know that angle ABC is 1 degree less than 3 times the angle ABD, and that angle DBC is 47 degree
Let angle ABD be x
⇒ Angle ABC = 3x-1
Also, Angle ABC = Angle ABD + Angle DBC
Substituting the values in the above equations
⇒ 3x-1 = x+47
⇒ 2x = 48
⇒ x = 24
So angle ABD = 24 degree, and angle ABC = 3(24)-1 = 71-1 = 71 degree
Answer: the length of the second piece is 1 5/6 inches
Step-by-step explanation:
Mary had a link of yarn 4 1/3 inches. Converting 4 1/3 inches to improper fraction, it becomes 13/3 inches.
She cut it into two pieces for her art project. One of the pieces was 2 1/2 inches long. Converting 2 1/2 inches to improper fraction, it becomes 5/2 inches.
Therefore, the length of the second piece would be
13/3 - 5/2 = (26 - 15)/6 = 11/6 inches.
Converting to mixed fraction, it becomes
1 5/6 inches