The first thing you should do is calculate the volume of the prism.
We have then:
V = h * L ^ 2
Where,
L: side of the square base.
h: height.
Substituting we have:
V = (0.5) * (1) ^ 2 = 0.5 feet ^ 3.
Then, we can make the following rule of three:
1.5 feet ^ 3 ---> 6
0.5 feet ^ 3 ---> x
Clearing x we have:
x = (0.5 / 1.5) * (6) = 2 $
Answer:
it will cost Sara 2 $ to completely fill her planter with soil
There are 6 numbers in one die.
There are 2 numbers that are less than or equal to 2, they are 1 and 2
The probability of something happening is the number of chances / total number
The probability would be 2/6, which can be reduced to 1/3
Answer:
Step-by-step explanation:
In this particular case we have the following system of equations:
y
=
−
3
x
+
4
[
E
q
.
1
]
x
+
4
y
=
−
6
[
E
q
.
2
]
Substituting
[
E
q
.
1
]
in
[
E
q
.
2
]
:
x
+
4
(
−
3
x
+
4
)
=
−
6
Applying the distributive property on the left side:
x
−
12
x
+
16
=
−
6
Simplifying
:
−
11
x
=
−
22
Solving for
y
:
x
=
−
22
−
11
=
2
Substituting
x
=
2
in
[
E
q
.
1
]
:
y
=
−
3
(
2
)
+
4
=
−
2
Therefore
, the solutions are
x
=
2
and
y
=
−
2
To figure out the cost for 180 packages, you must first calculate how many packages they bought for $72. Since each case holds 12 packages, for $72, the company bought 24 packages (12×2). Then you have to divide 24 into 180 to figure out the cost for those 180 packages and get 7.5. To get the cost of the 180 packages, you must multiply 7.5 (the number of 24 packages that go into 180) by 72 (the cost of one group of 24 packages). You then get 540. The company must pay $540 for the 180 packages.
