Answer: the sand in the new terrarium is 2 inches deep.
Step-by-step explanation:
Zach has a terrarium with the dimensions of 20 by 8 and the terrarium was filled with 3 inches of sand. It means that the volume of sand that this terrarium contains is
20 × 8 × 3 = 480 inches³
Zach gets a new terrarium that is larger with the dimensions of 10 by 24. If Zach moved the existing sand in the new terrarium and the height of the sand is represented by h, then the volume of sand into he new terrarium is
10 × 24 × h = 240h
Since the volume of sand in both terrariums is equal, then
240h = 480
h = 480/240
h = 2 inches
-12t = -14
Since both sides are negative, we can multiply them by -1 to make them positive.
12t = 14
t = 14/12
t = 7/6
t = 1.16
I hope this helps! If you have any doubts, feel free to ask.
Answer:
y=4x+7
Step-by-step explanation:
4x+y=7
Isolate one of the variables
4x-4x+y=7+4x
y=7+4x
slope is 4 (Up 4, Right 1)
y-intercept is (0,7)
Answer:
Is this a complete question?
9514 1404 393
Answer:
$1487.50
Step-by-step explanation:
The amount of interest due is ...
I = Prt
where P is the loan amount, r is the annual rate, and t is the number of years. Here, t = 6 months = 1/2 year, so the interest due is ...
I = $1400×0.125×1/2 = $87.50
The total amount due is the sum of the loan amount and the interest:
due = $1400 +87.50 = $1487.50
The total amount due after 60 months is $1487.50.
