Translating this word problem into an algebraic equation, we get:
3x - 2/5 = 8/5.
Let's combine the constants: adding 2/5 to both sides of this equation yields
3x = 10/5, or 3x = 2.
Solving for x: x = 2/3
Answer: 
Step-by-step explanation:
Add 
on both sides and subtract 
on both sides to leave x's on the left side and independent values on the right.
Solve the fractions.
Convert the mixed fraction 
to an improper fraction. You can do this by multiplying 1 times 35 and adding 2.
Now use the reciprocal (inverse fraction) and multiply on both sides to isolate x.
So we can take the volume of a cube formula and set it equal to the volume that we actually know: 64 centimeters cubed. So in order to find the length of the edge, which is a side, we need to cube root both sides of this equation. On the left-hand side, the cube root cancels all the cube.
Answer:
Gradient of A: 2
Gradient of B: -1
Step-by-step explanation:
Gradient = change in y/change in x
✔️Gradient of A using two points on line A, (2, 5) and (0, 1):
Gradient = (1 - 5)/(0 - 2) = -4/-2
Simplify
Gradient of A = 2
✔️Gradient of B using two points on line B, (0, 5) and (5, 0):
Gradient = (0 - 5)/(5 - 0) = -5/5
Simplify
Gradient of B = -1
Answer:
4 1/2
Step-by-step explanation:
Apply the fractions formula for division, to
3/4÷1/6
and solve
3/6x4/1
=18/4
Reduce by dividing both the numerator and denominator by the Greatest Common Factor GCF(18,4) = 2
18/24÷2/2=9/2
Convert to a mixed number using
long division for 9 ÷ 2 = 4R1, so
9/2=4 1/2
Therefore:
3/4÷1/6=4 1/2
