Answer: The volume is 33 cubic centimeters.
Step-by-step explanation:
First find the volume of the square pyramid on top of the cube. To find the volume of the square pyramid you use the volume a^2*h/3 a is the side length of the base of the square pyramid and h is the height all divide by 3.
So we can say that the side length of the base of the square pyramid is 3 because it has the same side length base as the cube.
V= 3^2 * 2 /3
V= 9 * 2 /3
V= 18/3
v= 6
So the volume of the square pyramid is 6 so now we need to find the volume of the cube and add them together.
Volume of the a cube uses the formula s^3 where s is the side length.
V= 3^3
v= 3*3*3
v= 27
The volume of the cube is 27.
Add 6 and 27 to find the total volume.
6 +27 = 33
Dax goes to the store to buy milk. There is a sale for milk, and it now costs 3 dollars since it was 60% off. What was the original price of the milk?
3 - 60
x - 100
Cross multiply
300=60x
5=x
The milk original cost 5 dollars.
Answer: 14 tons
$3,860.50
Step-by-step explanation:
Let x = the amount of sugar transported.
First company:
The cost is $3157 truck rental plus $50.25 per ton of sugar.
Total cost = 3157 + 50.25x dollars
Second company:
There is no charge for truck rental, but it costs $275.75 per ton of sugar.
The total cost is
275.75x
When the two costs are the same, then
275.75x = 3157 +50.25x
225.5x = 3157
x = 14 tons
The total cost is 275.75*14 = $3,860.50
Here is the graphical representation of the function you provide.
You can see the the points in which the line intersects each axis.
Every point in the line is a possible option for which hot dog package was bought.
For example, Taro might have bought 0 of the packages of 8, and 16 packages of 12.
or He might've bought zero packages of 12, and 24 packages of 8.
Answer:
(4, 2 )
Step-by-step explanation:
Given the 2 equations
3x + y = 14 → (1)
7x - 4y = 20 → (2)
Rearrange (1) making y the subject by subtracting 3x from both sides
y = 14 - 3x → (3)
Substitute y = 14 - 3x into (2)
7x - 4(14 - 3x) = 20 ← distribute parenthesis and simplify left side
7x - 56 + 12x = 20
19x - 56 = 20 ( add 56 to both sides )
19x = 76 ( divide both sides by 19 )
x = 4
Substitute x = 4 into (3) for corresponding value of y
y = 14 - 3(4) = 14 - 12 = 2
solution is (4, 2 )
