The answer is 6240 + 5t < 8000.
The 6240 represents the combined weight of the horses, regardless of how much they carry, so this will remain constant and without a variable. There are 5 horses, and it unknown how much weight they will carry, so this is represented as 5t. This total must be less that 8000 pounds, as this is the most the trailer can transport.
Hope this works!
Answer:
The height of the rock is 15 mm.
Step-by-step explanation:
Given : Cristian put a large rock on the bottom of the terrarium he made for his pet turtle.
To find : How high is the rock?
Solution :
The rock is a right rectangular prism 10 cm wide by 12 cm long.
Let the height be 'h'.
The volume of the right rectangular prism is 
i.e. 
The rock displaces 1800 cm³ of water.
i.e. The volume of the right rectangular prism is equal to the rock displaces of water.
So, 
Therefore, the height of the rock is 15 mm.
Answer:
x
=
±
2
√
3
−
3
Step-by-step explanation:
Add
3
to both sides of the equation.
x
2
+
6
x
=
3
To create a trinomial square on the left side of the equation, find a value that is equal to the square of half of
b
.
(
b
2
)
2
=
(
3
)
2
Add the term to each side of the equation.
x
2
+
6
x
+
(
3
)
2
=
3
+
(
3
)
2
Simplify the equation.
Tap for more steps...
x
2
+
6
x
+
9
=
12
Factor the perfect trinomial square into
(
x
+
3
)
2
.
(
x
+
3
)
2
=
12
when is 9 = 15.2 - 0.537x
9 = 15.2 - 0.537x
-15.2 -15.2 subtract 15.2 from both sides
-6.2 = -0.537x
/-0.537 /-0.537 divide -0.537 from both sides
11.55 = x or 12 feet round to nearest whole foot
Interest I = PRT /100
P = $ 1000
R = 5.5% per annum
T = 18 months = 18 /12 = 1.5 years.
I = 1000 * 5.5 * 1.5 /100
I = $ 82.5
Amount = P + I = 1000 + 82.5 = 1082.5.
Hence the it would have grown to $1082.5
