Answer:
Joint variation says that:
if
and 
then the equation is in the form of:
, where, k is the constant of variation.
As per the statement:
If x varies jointly as y and z
then by definition we have;
......[1]
Solve for k;
when x = 8 , y=4 and z=9
then
Substitute these in [1] we have;

⇒
Divide both sides by 36 we have;

Simplify:

⇒
to find z when x = 16 and y = 6
Substitute these value we have;

⇒
Multiply both sides by 9 we have;

Divide both sides by 12 we have;
12 = z
or
z = 12
Therefore, the value of z is, 12
Answer:
Step-by-step explanation:
Let r and j represent Riley's hours and Jace's hours, respectively. The equations could be ...
25r +30j = 460
r - j = 3
__
The solution is (r, j) = (10, 7).
Answer:
600 books
Step-by-step explanation:
The bin's dimensions are
5 by 2 by 3
THe volume of the bin is the multiplication of the 3 dimensions given.
Volume of Bin = 5 * 2 * 3 = 30 cubic feet
Now, volume of each book would be gotten the same way. The dimensions of one book is:
1 by 0.5 by 0.1
Volume of 1 book = 1 * 0.5 * 0.1 = 0.05 cubic feet
The number of books that will fit in the bin would be:
30/0.05 = 600 books
Answer:
47
Step-by-step explanation:
No matter what number you do if there is one left then it's that number
So dif between 8 and 7 is 1
1*47 = 47