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siniylev [52]
3 years ago
5

Police can estimate the speed of a vehicle before the brakes are applied using the formula 0.75d=(s^2)/(30.25) where s is the sp

eed in miles per hour and d is the length of the vehicle’s skid marks. What was the approximate speed of a vehicle that left a skid mark measuring 150 feet?
A) About 11 miles per hour
B) About 15 miles per hour
C) About 58 miles per hour
D) About 67 miles per hour
Mathematics
1 answer:
Jobisdone [24]3 years ago
7 0
The answer is C.

0.75(150) =   \frac{ s^{2}}{30.25}

112.5 * 30.25 =  s^{2}

3413.125 =  s^{2}

s = 58.422
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Two cyclists, Alan and Brian, are racing around oval track of length 450m on the same direction simultaneously from the same poi
skelet666 [1.2K]

Answer:

Alan: 200 m/min

Brian: 150 m/min

Step-by-step explanation:    

Given : Two cyclists, Alan and Brian, are racing around oval track of length 450m on the same direction simultaneously from the same point. Alan races around the track in 45 seconds before Brian does and overtakes him every 9 minutes.

To find : What are their rates, in meters per minute?

Solution :

Let n represent the number of laps that Alan completes in 9 minutes.

Then n-1 is the number of laps Brian completes.

45 seconds = 3/4 minutes.

The difference in their lap times in minutes per lap is

\frac{9}{(n -1)}-\frac{9}{n} =\frac{3}{4}

Solving the equation we get,

\frac{9n-9n+9}{n(n -1)} =\frac{3}{4}

9\times 4=3\times n(n -1)

36=3\times n(n -1)

n^2-n-12=0

n^2-4n+3n-12=0

n(n-4)+3(n-4)=0

(n-4)(n+3)=0

n=4,-3

Neglecting n=-3

So, n=4

Then Alan's speed in m/min is

S=\frac{D}{T}

S_a=\frac{4\times 450}{9}

S_a=200 m/min

Brian completes 3 laps in that 9-minute time, so his rate is

S_b=\frac{3\times 450}{9}

S_b=150 m/min

Therefore, Alan: 200 m/min

Brian: 150 m/min

4 0
4 years ago
Perform the indicated operation.<br> (w^3 +64)/(4+ w)
timurjin [86]

Answer:

(w^2 - 4w + 16)

Step-by-step explanation:

Note that w^3 +64 is the sum of two perfect cubes, which are (w)^3 and (4)^3.  The corresponding factors are (w + 4)(w^2 - 4w + 16).

Therefore,

(w^3 +64)/(4+ w) reduces as follows:

   (w^3 +64)/(4+ w)      (4 + w)(w^2 - 4w + 16)

--------------------------- = --------------------------------- =  (w^2 - 4w + 16)

             4 + w                     4 + w

6 0
4 years ago
What is the slope of the line y = -5x +1 ?
laila [671]

Answer:

-5

Step-by-step explanation:

Remember the slope intercept form:

y = mx + b

m = Slope value

b = y-intercept

So in this case,

y = (-5)x + b

m = -5

b = 1

Thus the answer is -5

3 0
3 years ago
WILL MARK AS BRAINLIEST PLEASE HELP!!!
neonofarm [45]

Step-by-step explanation:

2x = y-10

Rewrite as: 2x + 10 = y

Therefore:

2x+10 = y

2x +7 = 2y

Subtract the equations:

 2x + 10 = y

- 2x + 7 = 2y

______________

          3 = -y

Therefore y = -3

Substiture y = -3 into the second equation:

2x + 7 = 2(-3)

2x + 7 = -6

2x = -13

x= -6.5

Answer : (-6.5, -3)

3 0
3 years ago
Read 2 more answers
What is 5 1/4% as a fraction?
Grace [21]

Answer:

The mixed number 5 1/4 is equal to the improper fraction 21/4.

6 0
2 years ago
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