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qaws [65]
3 years ago
14

The speed limit is 25 miles per hour, but it seems that many of the cars are going faster. The city places 2 counter strips 360

feet apart in the lane closest to the school.A teacher times one car's front tires crossing the strips in the 7.0 sec. Is the car speeding? How do you solve this?
Mathematics
1 answer:
klio [65]3 years ago
7 0
You figure out how long it would take a car traveling at 25 mph
to cover 360 ft.  Any driver who does it in less time is speeding.

           (25 mi/hr) · (5,280 ft/mile) · (1 hr / 3,600 sec)

       =    (25 · 5280 / 3600)  ft/sec  =  (36 and 2/3) feet per second.

To cover 360 ft at 25 mph, it would take

                360 ft / (36 and 2/3 ft/sec)  =   9.82 seconds .

Anybody who covers the 360 feet in less than 9.82 seconds
is moving faster than 25 mph.
_________________________________

If you're interested, here's how to do it in the other direction:

Let's say a car covers the 360 feet in ' S ' seconds.
What's the speed of the car ?

           (360 ft / S sec) · (1 mile / 5280 feet) · (3600 sec/hour)

       =    (360 · 3600) / (S · 5280)  mile/hour

       =        245.5 / S    miles per hour .

The teacher timed one car crossing both strips in 7.0 seconds.
How fast was that car traveling ?

                   245.5 / 7.0  =  35.1 miles per hour


Another teacher timed another car that took 9.82 seconds to cross
both strips.  How fast was this car traveling ?

                        245.5 / 9.82  =  25 miles per hour
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M. Score: 0 of 1 pt
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Answer:

  3×5×53

Step-by-step explanation:

You can use divisibility rules to find the small prime factors.

The number ends in 5, so is divisible by 5.

  795/5 = 159

The sum of digits is 1+5+9 = 15; 1+5 = 6, a number divisible by 3, so 3 is a factor.

  159/3 = 53 . . . . . a prime number,* so we're done.

795 = 3×5×53

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* If this were not prime, it would be divisible by a prime less than its square root. √53 ≈ 7.3. We know it is not divisible by 2, 3, or 5. We also know the closest multiples of 7 are 49 and 56, so it is not divisible by 7. Hence 53 is prime.

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3 years ago
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Answer:

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Step-by-step explanation:

<u>Given points:</u>

  • A(-1, -9) and M(0.5, -2.5)

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<u>Use midpoint formula to determine the point B:</u>

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  • -2.5 = (-9 + y)/2 ⇒ -5 = -9 + y ⇒ y = -5 + 9 = 4

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3 years ago
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sweet-ann [11.9K]

Answer:

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Step-by-step explanation:

7 0
3 years ago
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The sum of ruqiyo’s age and Mohammed’s age is 117. Five times ruqiyo’s age is 9 more than 3 times mohammed’s age. How old is eac
Bess [88]

Answer:

  • 45 and 72

Step-by-step explanation:

Let the ages be r and m

<u>We have:</u>

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<u>Substitute m in the second equation and solve for r:</u>

  • m = 117 - r
  • 5r = 9 + 3( 117 - r)
  • 5r = 9 + 351 - 3r
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  • 8r = 360
  • r = 360/8
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<u>Then m is</u>

  • m = 117 - 45 = 72
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3 years ago
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Step-by-step explanation:

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