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Gekata [30.6K]
2 years ago
9

If the roads leading to an arena can together handle 3,500 vehicles/hour of arena-only traffic, at what time should the roads be

closed to other vehicles to ensure that the projected 14,000 vehicles can get to the arena for the 7 p.m. start?
Mathematics
1 answer:
emmasim [6.3K]2 years ago
4 0
In this question, the road capacity is 3,500 vehicle/hours and the number of vehicles that projected will enter the arena is 14,000 vehicle. Then, the time needed for those vehicles to enter the arena would be:
14,000 vehicle/ (3,500 vehicle/hours)= 4 hours

If the event starts at 7 p.m. then it should be close before: 7 p.m.- 4 hours= 3 p.m.
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6 0
2 years ago
Read 2 more answers
The Jacksons and the Simpsons were competing in the final leg of the Amazing Race, which was 240240240 kilometers long. In their
meriva

Answer:

240/(v+40) + 1 > 240/v

Step-by-step explanation:

Both parties traveled a distance of 240 km.

Simpsons took off at average speed of 40 km/h & 1 hour later: 240/(v+40) + 1

Jacksons took off at average speed of v km/h:  240/v

6 0
2 years ago
Complete the sentence. the roots of the equation x^2 - 8x - 48 = 0 are -4 and *blank*
prisoha [69]

Answer:

12 is the answer.

Step-by-step explanation:

The best way to get the roots of the equation is to factorize the equation but when the factors are not possible then we should apply the quadratic equations formula to get the value of x.

Now we will try to factorize

x² - 8x -48 = 0

Now we multiply coefficient of highest degree term and constant term

48×1 = 48 which may be factored in 12×4. 8×6, 24×2.

Now we will choose 12×4 out of three because the 12-4 = 8 which is the coefficient of x.

Now its simple.

x²-12x + 4x -48 = 0

x(x -12) + 4(x-12) = 0

(x +4)(x-12) = 0

Therefore roots are x + 4 = 0

x = -4

and x - 12 = 0

x = 12

So the answer is 12.

8 0
2 years ago
Read 2 more answers
Rosita and Garth are saving up for a vacation, and begin with a certain amount saved each. If Rosita works 5 hours, she will hav
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Treat each (time, money) pair as an (x, y) pair, and get the slope of the line:
For Rosita, (5, 128), (7, 164): m = (y2 - y1)/(x2 - x1) = (164 - 128)/(7 - 5) = 18, implying that she earns $18/hr. The y-intercept is calculated as: y = 18x + b, 128 = 18*5 + b, b = $38, meaning that she started with $38. Rosita's equation is y = 18x + 38.
For Garth, (3, 124), (8, 194): m = (194 - 124)/(8 - 3) = 14. For 124 = 14*3 + b, b = $82. Garth's equation is y = 14x + 82

To find out when they will have saved the same amount, both equations would have the same y-value:
18x + 38 = 14x + 82
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x = 11 hours
y = 18*11 + 38 = $236 (alternatively, y = 14*11 + 82 = 236)
This means that Rosita and Garth will have both saved $236 after 11 hours of working.
7 0
2 years ago
At an archeological site, the remains of two ancient step pyramids are congruent. If ABCD~=EFGH, find AD
worty [1.4K]

Answer: 300ft

Step-by-step explanation:

3 0
2 years ago
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