Adventure park built a new sandbox that is 3 \text { m}3 m3, space, m long, 2 \text { m}2 m2, space, m wide, and 1 \text { m}1 m1, space, m high. sand for the sandbox costs \$4.50 per cubic meter. how much will it cost to completely fill the sandbox with sand?

We are given dimensions of the sand box:

Length = 3m.

Width = 2m and

Height = 1 m.

Volume of the box is = Length × Width × Height.

Plugging values in above formula, we get

Volume = 3 ×  2 ×  1 = 6 cubic meter.

We are given cost $4.50 per cubic meter.

Therefore, total cost is 6 × 4.5 = $27.

answer: f = 32.2m

step-by-step explanation: that is the answer

(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