Answer:
The volume of the box is 3/4 cubic meters.
Step-by-step explanation:
We know that volume = length * width * height. We have length, width, and height already, so all we have to do is multiply.
5/6 * 1 1/8 * 4/5. First we convert 1 1/8 from a mixed fraction, to give us 9/8, as 8/8 = 1.
5/6 * 9/8 * 4/5. 5 * 9 = 45, and 6 * 8 = 48. 45/48 reduces to 15/16.
15/16 * 4/5. 15 * 4 = 60, and 16 * 5 = 80. 60/80 reduces to 6/8, which reduces to 3/4.
I use an app called Socratic also it works very well!!
Answer:
Step-by-step explanation:
The inverse of a function is when the x and y are swapped. So the first step is to write f(x) as y and then swap the x and y
Original Equation:
write f(x) as y (since that's what it represents)
Swap x and y
Square both sides
Add 1 to both sides
So this gives you the equation:
Answer:
A.
Step-by-step explanation:
4y = 12x + 16
3x = y - 4
=>
y = 3x + 4
using that in the first equation
4(3x+4) = 12x + 16
12x + 16 = 12x + 16
=> both lines/equations are identical, so they have infinitely many solutions.
Write the equation of the cost
p stands for the cost per pear, a stands for the cost per apple
6p + 3a = 3.9
2p + 5a = 3.3
Solve the equation system
To solve the equation system, we work on eliminating variable p so we will find the number of a. To eliminate, we have to change the coefficient of p to the same number (i will change it to coefficient 6)
6p + 3a = 3.9 (multiply 1)
2p + 5a = 3.3 (multiply 3)
---------------------------------
6p + 3a = 3.9
6p + 15a = 9.9
-------------------- - (substract)
-12a = -6
a = -6/-12
a = 0.5
To find the cost per pear, subtitute the number of a to one of the equation
2p + 5a = 3.3
2p + 5(0.5) = 3.3
2p + 2.5 = 3.3
2p = 3.3 - 2.5
2p = 0.8
p = 0.4
The cost of one pear is $0.4
