Answer:22
Step-by-step explanation:22
x=smaller number
y=larger number
x+y=12
y=3x-6
Let's begin with the first equation...
x+y=12
Let's substitute...
x+(3x-6)=12
4x-6=12
Let's add 6 to both sides as we proceed to isolate x...
6+4x-6=12+6
4x=18
Let's divide both sides by 4...
(4x)/4=18/4
x=9/2=4.5---smaller number
12-4.5=7.5s larger number
1 yard = 3 feet = 36 in
so 1 in = 1/36 yard, 1 ft = 1/3 yard.
The volume of the layer of the topsoil, is:
5 in * 23 ft * 17 ft = 5 *(1/36)*23*(1/3)*17*(1/3) yard cubed =
(5*23*17)/(36*3*3)= 1955/324=6.034 yard cubed.
The store only sells increments of 1/4 = 0.25 cubic yards.
we need 6.034/0.25=24.136
So we need to buy 25 (24 will not be enough) increments of 1/4 cubic yards.
Answer: 25 increments of 1/4 cubic yard, that is 25*0.25=6.25 cubic yards.
All you have to do is subtract 200-317.25 to get -117.25