Answer:
Step-by-step explanation:
6) Convert mixed fraction to improper fraction and then plugin the values in the formula.

b) 10 cubic yard is less than 11 2/3 cubic yard. So, it will fit in the wood shed.
7) Right side rectangular prism:
l = 16 in
w = 5 in
h = 20 - 14 = 6 in
Volume 1 = 16 * 5 * 6 = 480 cubic inches
Left side rectangular prism:
l = 9 in
w = 5 in
h =14 in
Volume 2 = 9 * 5 * 14 = 630 cubic in
Volume of composite solid = 480 + 630 = 1110 cubic inches
Step-by-step explanation:
and
are linear pair angles.

Answer:
Both equation represent functions
Step-by-step explanation:
The function is the relation that for each input, there is only one output.
A. Consider the equation

This equation represents the function, because for each input value x, there is exactly one output value y.
To check whether the equation represents a function, you can use vertical line test. If all vertical lines intersect the graph of the function in one point, then the equation represents the function.
When you intersect the graph of the function
with vertical lines, there will be only one point of intersection (see blue graph in attached diagram). So this equation represents the function.
B. Consider the equation

This equation represents the function, because for each input value x, there is exactly one output value y.
When you intersect the graph of the function
with vertical lines, there will be only one point of intersection (see green graph in attached diagram). So this equation represents the function.
Answer:
The students can group themselves in 360360 ways
Step-by-step explanation:
For this exercise we need to use the following equation:

This equation give us the number of assignation of n elements in k cell, where n1, n2, ..nk are the element that are in every cell
In this case we have 15 student that need to be assign in three vehicles with an specific capacity. This vehicles would be the equivalent to cells, so we can write the equation as:

Because the first vehicle have 7 seating, the second vehicle have 5 seating and the third vehicle have 3 seating.
Solving the equation we get 360360 ways to organized 15 students in three vehicles with capacity of 7, 5 and 3 seating.