<em>Part A: </em>
Let c represent the total amount of chocolate there is in lbs.
c = 0.25c + 0.75c
<em>Part B: </em>
0.75c represents milk chocolate, and we know that there are 3 lbs of milk chocolate, so you can replace the 0.75c with 3 (representing 3 lbs):
c = 0.25c + 3
Divide all the terms by c:
1 = 0.25 + 3/c
Subtract 0.25 from both sides to combine the like terms:
0.75 = 3/c
Multiply all the terms by c to make the equation easier to work with:
0.75c = 3
Divide both sides by 0.75 to isolate the c and find the total amount of chocolate in pounds.
c = 4
Substitute c for 4 in the term that defines dark chocolate (which was 0.25c)
0.25(4) = 1 pound
Therefore, there was exactly 1 pound of dark chocolate present in the chocolate.
This makes sense, as 1 pound of dark chocolate + 3 pounds of milk chocolate = 4 pounds of chocolate in total, and 1 is 25% of 4 and 3 is 75% of 4.
If 1 inch = 65 meters then 5 inches = 325 meters
Question #1:
The surface area of a prism is the area of the outside of the prism, the volume is how much the inside of the container holds.
Let's find the volume and surface area of the prism given.
V = lwh
Plug in what we know:
V = (18.4)(10.9)(8.7)
Multiply:
V = <span>1744.872 m^3
SA = </span>2<span>(<span><span><span>wl </span>+ <span>hl </span></span>+ <span>hw</span></span><span>)
Plug in what we know:
SA = 2((10.9)(18.4) + (8.7)(18.4) + (8.7)(10.9))
Multiply:
SA = 2(200.56 + 160.08 + 94.83)
Add:
SA = 2(455.47)
Multiply:
SA = 910.94 m^2
Now find the difference:
</span></span>Note that these are different measurements.
The volume is measured in cubic meters and the surface area is measured in square meters.
910.94 m^2 = 27493.793 m^3
Find the difference:
27493.793 m^3 - 1744.872 m^3 = 25748.921
Question #2:
The formula for the surface area of a rectangular prism is:
SA = 2(wl + hl + hw)
Plug in what we know:
SA = 2((5)(6) + (3)(6) + (3)(5))
This is the equation we use to find the surface area of this figure.
Multiply:
SA = 2(30 + 18 + 15)
Add:
SA = 2(63)
Multiply:
SA = 126 cm^2
Answer:
42
Step-by-step explanation:
9 times 14 equals 126
126 divided by 3 equals 42
