Answer:
1.8 minutes or 108 seconds
Step-by-step explanation:
The question tells us that the larger belt moves 300 lbs in 2 mins. And this is equal to 150 lb per minute
The question also tells us that a smaller belt moves the same quantity of 300 lbs in 18 mins. And this is equal to an average of 16.667 lb per min.
Both belts will move at a rate of 166.667 lb per min.
So it will take them 300 / 166.667 = 1.8 min or 108 s.
Therefore, the answer is 1.8 min
There are 2 different pillows, 2 different sheets and 3 different comforters.
Multiply all the choices together to find all the combinations:
Total combinations: 2 x 2 x 3 = 12
There are 12 different combinations.
1) Dimensiones of the cardboard:
length: 10 inches
width: 8 inches
2) dimensions of the squares cut
length: x
width: x
3) dimensions of the box:
length of the base = 10 - 2x
width of the base = 8 - 2x
height = x
4) Volume of the box
V = (10 - 2x) (8 - 2x) x = x [80 - 20x - 16x + 4x^2] = x [ 80 - 36x + 4x^2 ] =
V = 80x - 36x^2 + 4x^3
5) Maximum volume => derivative of V, V' = 0
V' = 80 - 72x + 12x^2 = 0
6) Solve the equation
Divide by 4 => 3x^2 - 18x + 20 = 0
Use the quadratic formula: x = 1.47 and x = 4.53 (this is not valid)
So, the answer is the option C. 1.5 inches.
3. Speeding ticket<br>
3,3, 4, 6, 6, 6, 7,7, 8, 8, 9,91,9, 10<br>
Find the range
Mkey [24]
Answer:
7
Step-by-step explanation:
Range = highest - lowest
10-3 = 7