Answer:
Chucks spent 8 minutes running and 15 minutes swimming
Step-by-step explanation:
Here, we want to know the amount of time Chuck spends on individual activities.
since the total time spent for the burning is 23 minutes;
then ;
r + w = 23 ••••••••(i)
Now, the number of calories burnt to running for r minutes will be r * 35 = 35w calories
The number of calories burnt to swimming for w minutes will be w * 30 = 30w calories
The addition of both gives the total calories burnt;
Hence;
35r + 30w = 730 ••••••••(ii)
So we have two equations to solve simultaneously ;
From i; r = 23-w
Substitute this into ii
35(23-w) + 30w = 730
805 -35w + 30w = 730
35w -30w = 805-730
5w = 75
w = 75/5
w = 15 minutes
but r = 23 - w
r = 23 -15
r = 8 minutes
Move the 6 to the other side:
2x^2 +x+6,
(x-3) (x+4)
x=3 and x=-4
Answer:
5 meters
Step-by-step explanation:
If the smallest rectangle has a length of 8 meters, and a perimeter of 24 meters then its width is given by:
We can conclude that the width is half of the length for both rectangles. Therefore, the width of the larger rectangle, with a perimeter of 30 meters, is:
The width of the original rectangle is 5 meters.
Answer:
Total volume of the figure = 1067 cm³
Step-by-step explanation:
Volume of the composite figure = Volume of the rectangular prism + Volume of the square pyramid
Volume of the rectangular prism = Length × Width × Height
= 10 × 10 × 7
= 700 cm³
Volume of the square pyramid = 
= 
× height
= 
= 366.67 cm³
Total volume of the composite figure = 700 + 366.67 = 1066.67 cm³
≈ 1067 cm³
The manufacturer should advertise 13811 pages for each cartridge if it wants to be correct 99% of the time
z-score is the number of standard deviations from the mean value of the reference population
99%=0.99
The z-value associate with 0.99 is 2.33:
2.33 = (X - 12425) / 595:
X - 12425 = 2.33 * 595
X = (2.33 * 595) + 12425
X = 138111
Therefore, The manufacturer should advertise 13811 pages for each cartridge if it wants to be correct 99% of the time
Learn more about the Manufacturer here
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