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Gemiola
6 days ago
6

Manuel rolls a number cube with faces that are numbered 1 through 6. Which of the following events has a probability of 1? A. Ma

nuel rolls an odd number. B. Manuel rolls a 1. C. Manuel rolls a 7. D. Manuel rolls a number less than 7.
Mathematics
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Compare the values of the 2s and 5s in 55,220
Inessa [12570]
The number 55,220 has two 5s and two 2s. The 5s appear in the ten-thousands and thousands places, representing 50,000 and 5,000 respectively. The 2s occupy the hundreds and tens positions, corresponding to 200 and 20. In total, the 5s sum to 55,000, while the 2s add up to 220.
6 0
3 months ago
mridul jogs around a rectangular park of 100m by 80m at the rate of 9km per hour. how much time will he take in jogging 6 rounds
tester [12383]
14 minutes. Step-by-step explanation: First, find the perimeter which can be calculated as P=100+80+100+80 = 360 meters, and then multiply it by 6 for the total distance = 2160 meters. To convert meters to kilometers, note that 1000 m = 1 km, so you would find how many kilometers are in 2160 m by cross-multiplying to get 2.16 km. Lastly, you need to calculate the time required represented by T = D/S = 2.16 km / 9 km/h, which simplifies down and gives you the time.
3 0
2 months ago
A taxi charges a flat rate of $3.00, plus an additional $0.50 per mile. Carl will only take the taxi home if the cost is under $
PIT_PIT [12445]
Define x as the distance in miles. This scenario can be expressed with the inequality 0.5x + 3 < 10, where x corresponds to the miles traveled. To solve this, begin by subtracting 3 from each side, followed by dividing everything by 0.5. The outcome indicates x < 14, meaning Carl can cover less than 14 miles, though he is 15 miles away from his destination; therefore, he will opt for a bus instead.
6 0
3 months ago
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A bouncing ball reaches a height of 27 feet at its first peak, 18 feet at its second peak, and 12 feet at its third peak. Descri
tester [12383]
A geometric sequence models the bounce heights:
Use the formula
A (subscript n) = Ar(n-1)
a = the first-term value
n = the index of the term you want (for the fourth peak, n = 4) 
r = common ratio, found by dividing the second term by the first
Here r = 18/27 = 2/3 because 27×(2/3) = 18, and similarly 18×(2/3) = 12
For the fourth peak n = 4
Compute: 4th term = 27(2/3)^(4-1) = 8
Therefore the height at the fourth peak is 8
4 0
3 months ago
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