2x-4y=-6...........................
Answer:
Step-by-step explanation:
We know that,
Volume of cube = (side)^3
Fro side length s , we can write:
V(s) = s^3 , where volume is the function of s.
Now ,
We have given : v(4) = 64
If we compare this with v(s) = s^3
Then we get s =4 , i.e side length of cube is 4
Also 64 = 4^3 , i.e volume of cube is 64.
So we can interpret this as: A cube with side lengths of 4 feet has a volume of 64 cubic feet
Answer:
6
Step-by-step explanation:
18x−(8x−7)=67
Step 1: Simplify both sides of the equation.
18x−(8x−7)=67
18x+−1(8x−7)=67(Distribute the Negative Sign)
18x+−1(8x)+(−1)(−7)=67
18x+−8x+7=67
(18x+−8x)+(7)=67(Combine Like Terms)
10x+7=67
10x+7=67
Step 2: Subtract 7 from both sides.
10x+7−7=67−7
10x=60
Step 3: Divide both sides by 10.
Answer:
x = 5/39
, y = 539/39
Step-by-step explanation:
Solve the following system:
{y - 2.5 x = 13.5
12.25 x - y = -12.25
In the first equation, look to solve for y:
{y - 2.5 x = 13.5
12.25 x - y = -12.25
y - 2.5 x = y - (5 x)/2 and 13.5 = 27/2:
y - (5 x)/2 = 27/2
Add (5 x)/2 to both sides:
{y = 1/2 (5 x + 27)
12.25 x - y = -12.25
Substitute y = 1/2 (5 x + 27) into the second equation:
{y = 1/2 (5 x + 27)
1/2 (-5 x - 27) + 12.25 x = -12.25
(-5 x - 27)/2 + 12.25 x = 12.25 x + (-(5 x)/2 - 27/2) = 9.75 x - 27/2:
{y = 1/2 (5 x + 27)
9.75 x - 27/2 = -12.25
In the second equation, look to solve for x:
{y = 1/2 (5 x + 27)
9.75 x - 27/2 = -12.25
9.75 x - 27/2 = (39 x)/4 - 27/2 and -12.25 = -49/4:
(39 x)/4 - 27/2 = -49/4
Add 27/2 to both sides:
{y = 1/2 (5 x + 27)
(39 x)/4 = 5/4
Multiply both sides by 4/39:
{y = 1/2 (5 x + 27)
x = 5/39
Substitute x = 5/39 into the first equation:
{y = 539/39
x = 5/39
Collect results in alphabetical order:
Answer: {x = 5/39
, y = 539/39
