Answer:
x = 3
Step-by-step explanation:
29 - 3x = 5x + 5
You want to have the variable of x on one side of the equation, so add 3x to both sides.
29 = 8x + 5
You want to isolate the variable of x, so subtract 5 from both sides.
24 = 8x
You want the variable x on its own, so divide both sides by 8.
3 = x
Check your answer by plugging x back into the original equation.
29 - 3(3) = 5(3) + 5
Solve.
29 - 9 = 15 + 5
20 = 20
Your answer is correct!
Answer:
64 cubic cm
Step-by-step explanation:
i think u mean cube btw for volume but if u meant area its 16 cm squared
Step-by-step explanation:
f(x)=2*,
it will mean, f(7/2)=2
f= 4/7
Answer:
To keep the same volume, the designer needs to decrease the height of the vase by 20%
Step-by-step explanation:
Volume of cylinder formula is 
Area of base is
, if this area is increased by 25%, the new area of base would be:

Since volume would be same, we can make the height as:

Thus, we can see that the height needs to be divided by 1.25, which we can write in fractional form as:

Thus, height needs to be
of original (or 80% of original)
Answer: the length of the needle is 8.49 inches.
Step-by-step explanation:
The diagram of the clear cube is shown in the attached photo. From the diagram, a right angle triangle ABC is formed.
BC represents the diagonal of a face of the cube.
AB represents the the side length of the clear cube.
AB = h represents the length of the needle
To determine AB, we would apply Pythagoras theorem which is expressed as
Hypotenuse² = opposite side² + adjacent side²
Therefore
AB² = 6² + 6² = 72
AB = √72
AB = 8.49