Just use pemdas : parenthisis, exponents, multiplication, division, addition, and subtraction. Do the exponents first before you multiply.
Answer:
The dimensions are height=4 inches, width=8 inches and lenght=12 inches.
Step-by-step explanation:
The volumen of a box is:
we don't know the width so let's assume it as x.
that gives us a cuadratic equation:
let's rerrangage it:
∞
we can obtain the value of x using the quadratic formula:
that formula gave us two results:
we have to take te possitive number, so the width is 8 inches and the length is 8+4=12 inches
height=4 inches
width=8 inches
lenght=12 inches
Volume=4*8*12=384 cubic inches.
Answer:
6.50
Step-by-step explanation:
Is it
Part A:
Let be the time (in hours) that has passed since Alan/Soren has started to head for their apartment.
Alan works 6 miles away from the apartment and moves at a rate of 7 miles per hour towards his apartment
The distance remaining to Alan's apartment after hours is:
Soren works 8 miles away and moves at a rate of 12 miles per hour. The distance remaining to Soren's apartment after hours is:
Set the equations equal to each other to find how long it takes for them to be at the same distance from their apartment:
Add both sides by 12t
Subtract both sides by 6
Divide both sides by 5
They will be at the same distance from their apartment after 0.4 hours, or 2/5 hours.
Part B:
Set d equal to 0 for each equation
Alan's equation:
Add both sides by 7t
Divide both sides by 7
Soren's equation:
Add both sides by 12t
Divide both sides by 12 and simplify
Since , it takes less time for Soren to get to his apartment, which means Soren gets back first.
The difference in the amount of time (how much less time it took) between Soren and Alan is:
It took Soren 4/21 hours less than Alan to get back to his apartment.
Let me know if you need any clarifications, thanks!
~ Padoru
Answer: The number 8 goes into 40 five times, resulting in a final quotient of 2.5.
Step-by-step explanation: