Answer:
The mass of the second cube is about 1085.07 grams.
Step-by-step explanation:
I assume '1-2 cm' means 1.2cm here. Correct me if I am wrong and I'll edit my answer.
First, find the density of this cube:
where d is density, m is mass, and v is volume.
We have one of those, but we also need volume. The volume of a cube is just:
where a is the length of a side.
The volume of this cube is 1.728cm³. Now, you can find the density;
The density of this material is about 8.68 grams per cubic centimeter.
Finally, you can use that density to find the mass of the other cube. Fin the volume of the second cube:
The volume is 125cm³. Given the density and the volume, you can calculate the mass:
The mass of the second cube is about 1085.07 grams.
Let t and s represent the masses of 20% and 60% alloys respectively.
t+s=80, s=80-t
(0.2t+0.6s)/80=0.52 multiply both sides by 80
0.2t+0.6s=41.6, now using s=80-t in this equation gives us:
0.2t+0.6(80-t)=41.6 perform indicated multiplication on left side
0.2t+48-0.6t=41.6 combine like terms on left side
-0.4t+48=41.6 subtract 48 from both sides
-0.4t=-6.4 divide both sides by -0.4
t=16, since s=80-t
s=64
So 16kg of 20% alloy is mixed with 64kg of 60% allow to make 80kg of a 52% alloy.
Here's what I mean when I write <em>x/</em><em>2</em><em> </em><em>JUST </em><em>IN </em><em>CASE.</em>
а.
Let the total number of pencils be x, then this implies that Maggie received <em>x/</em>2 pencils from Katie. Maggie keeps 5 and give the rest to Jamil, this means
that Jamil receives
<em>x/</em>2-5 pencils.
b. Expression of pencils given to Jamil is: <em>x/</em>2-5
Substitute <em>x</em><em>=</em><em>1</em><em>6</em><em> </em>in this expression: <em>x/</em>2-5
Simplify and evaluate: = 8-5= 3
Maggie gives 3 pencils to Jamil.
c. Expression of pencils given to Jamil is: x/2-5 to
Equate this expression with 1 to form an equation and solve for <em>x</em> all, the total
number of pencils if Jamil received 1 pencil:
<em>x/</em>2 - 5 = 1
Solve for x:
<em>x</em> = 2(1+ 5)
Evaluate:
<em>x</em> = 2(6) = 12
Katie had 12 pencils if Jamil received 1 pencil.
RESULT
a. Expression of number of pencils given to Jamil is <em>x</em>/2-5, where x is total number of pencils.
b. Maggie gives 3 pencils to Jamil.
c. Katie had 12 pencils if Jamil received 1 pencil.
Answer:
Step-by-step explanation:
To start the problem, you recognize that the figure is a cone with a radius of 21 ft and a height if 12 ft.
Then, you consult your list of volume formulas to find the one for the volume of a cone. It is ...
V = (1/3)πr²h . . . . . where r is the radius and h is the height
Fill in the given numbers and do the arithmetic.
V = (1/3)π(21 ft)²(12 ft) = 1764π ft³ ≈ 5542 ft³
___
If your calculator does not have a button for π, you can use 3.14159. Most spreadsheets will have a PI() function that will give this value.
70% of the people were adults
First you subtract 1500-450 = 1050
Then you divide 1050/1500 = .7
