Easy 5 which expression gives the correct volume of the figure?

Answer : The correct option is, [(10 × 4 × 5) + (5 × 5 × 5)] cubic inches.

Step-by-step explanation :

As we know that,

Formula used for volume of cube is:

or,

where,

V = volume of cube

a = side of cube

Formula used for volume of cuboid is:

where,

V = volume of cuboid

l = length of cuboid

b = breadth of cuboid

h = height of cuboid

The given figure is formed by the combination of two figure that is cube and cuboid.

Volume of cube =

Given :

a = side of cube = 5 inch

Volume of cube = cubic inches

and,

Volume of cuboid =

Given :

l = length of cuboid = 10 inch

b = breadth of cuboid =5 inch

h = height of cuboid = 4 inch

Volume of cuboid = cubic inches

Total volume of figure = Volume of cuboid + Volume of cube

cubic inches

Thus, the correct volume of the figure will be,

cubic inches

option: d is correct

step-by-step explanation:

(0,-3) see attached graph

step-by-step explanation:

a. to solve the system, graph the two equations.

x = y+3 becomes y=x-3 has m=1/1 and b=-3. start at (0,-3) on the y-axis and plot a point. then move up 1 unit and 1 unit to the right. plot a point and connect.

y=-4x+3 has m =-4/1 and b=-3. start at (0,-3) on the y-axis and plot a point. then move down four units and to the right 1 unit. plot a point and connect.

the solution is the point (x,y) where the two lines intersect. by the graph below it is (0,-3).

b. to solve by substitution, substitute y = -4x-3 into x= y+3

x= (-4x-3) +3

x=-4x

5x=0

x=0

now substitute x = 0 back in to find y.

y= -4(0)-3

y=0-3

y=-3

solution is (0,-3)

c. use elimination by adding the equations together.

x-y=3

4x+y=-3

5x=0

x=0

then substitute into one equation to find y.

y=-4(0)-3

y=-3