Answer:
120
Step-by-step explanation:
to find the volume of rectangular prisms, multiply its 3 dimensions: length x width x height. The volume is expressed in cubic units. After doing that, you get 120
Hypotenuse^2=12^2+5^2=144+25=169
⇒ hypotenuse =V169=13 cm
Since Perimeter is Length+ Width, and there are "two lengths" and "two widths", the formula needed here is p=2l+2w. We have the P, so using that, along with knowing that l is 41ft longer than w;
p = 278 , l = w+41
278 = 2l + 2w
278 = 2(w+41) + 2w
We'll use the DISTRIBUTIVE PROPERTY first: 278 = 2w + 82 + 2w
Then we'll COMBINE LIKE TERMS: 278 = 4w + 82
Next we'll subtract 82 from both sides: 196 = 4w
And finally divide both sides by 4:
49 = w
Since the length is w+41 and we now know the width, we can see what the length is: l = w+41 , l = 49 + 41 , l = 90.
Now that we know the length, we can see what the dimensions of the court are:
Perimeter is 278ft
Width is 49ft
And the Length is 90ft.
Let one pen be

and one pencil as

, we can produce two equations in terms of

and


------> Equation 1

------> Equation 2
We can use either Elimination or Substitution method. Let's try the substitution method
Rearranging equation one to get

and substitute into equation 2, gives





We can use either equation one or equation to work out




The price of one pen is $0.85
The price of one pencil is $0.32