Find cost of pens and mechanical pencils
pen cost=number of pens times cost pe pen
pencost=10 times 0.35=3.50
mech cost=number of mechs times cost pe mech
mechcost=5 times 0.89=4.45
4.45 is more than 3.50
yes, mech cost mre than pens
Answer:
The correct option is option (d).
Step-by-step explanation:
Logarithms are used basically to express large number.
Rules:
Here given that,

Applying the last rule


⇒x=125-30
⇒x=95
Therefore x=95.
The perimeter of the rectangle is the sum of its dimensions
The dimensions that minimize the perimeter are 
The area is given as:

Let the dimension be x and y.
So, we have:

Make x the subject

The perimeter is calculated as:

Substitute 

Expand

Differentiate

Set to 0

Rewrite as:

Divide both sides by -1

Multiply y^2

Divide by 2

Take square roots of both sides


Substitute
in 



Hence, the dimensions that minimize the perimeter are 
Read more about perimeters at:
brainly.com/question/6465134
Answer:
Amie should have multiplied 54 by 2/3
Step-by-step explanation:
The formula of the volume of a sphere is given by
, where r is the radius of the sphere.
to find the volume of the sphere, we must find 
We know that the formula of a cylinder of height h and radius r is given by

So 
We know that the sphere and the cylinder have the same height. Recall that the height of the sphere of radius r, is the diameter of a circle that passes through the heighest and lowest points of the sphere. Then, h=2r. This means that

From here, we know that
.
So the volume of the sphere is
.
So Amie should have multiplied 54 by 2/3.