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Oliga [24]
2 years ago
9

A cyclist can cover a distance of 18 miles in 45 minute. How many miles the cyclist can cover in 6 hours?

Mathematics
1 answer:
kolbaska11 [484]2 years ago
3 0

First, lets find how many miles the cyclist can ride per minute (speed = distance/time).

18/45 = 0.4 miles per minutes

Second, lets find how many miles the cyclist can ride per hour.

0.4 * 60 = 24 miles per hour

Third, lets find how many miles teh cyclist can ride in 6 hours.

24 * 6 = 144 miles in 6 hours

Best of Luck!

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I'll give you brainliest! Just need help with 5-10! (Least common factors)
umka2103 [35]

Answer:

  • 60
  • 30
  • 48
  • 42
  • 45
  • 55

Step-by-step explanation:

5.

12,\:30\\\\\mathrm{Prime\:factorization\:of\:}12:\quad 2\times\:2\times\:3\\\mathrm{Prime\:factorization\:of\:}30:\quad 2\times\:3\times\:5\\\\=2\times\:2\times\:3\times\:5\\\\=60

6.

6,\:10\\\\\mathrm{Prime\:factorization\:of\:}6:\quad 2\times\:3\\\mathrm{Prime\:factorization\:of\:}10:\quad 2\times \:5\\\\=2\times \:3\times \:5\\\\=30

7.

16,\:24\\\\\mathrm{Prime\:factorization\:of\:}16:\quad 2\times \:2\times\:2\times\:2\\\mathrm{Prime\:factorization\:of\:}24:\quad 2\times\:2\times\:2\times\:3\\\\=2\times\:2\times\:2\times\:2\times\:3\\\\=48

8.

14,21\\\\\mathrm{Prime\:factorization\:of\:}14:\quad 2\times\:7\\\mathrm{Prime\:factorization\:of\:}21:\quad 3\times\:7\\\\=2\times\:7\times\:3\\\\=42

9.

9,15\\\\\mathrm{Prime\:factorization\:of\:}9:\quad 3\times\:3\\\mathrm{Prime\:factorization\:of\:}15:\quad 3\times\:5\\\\=3\times\:3\times\:5\\\\=45

10.

5,\:11\\\\\mathrm{Prime\:factorization\:of\:}5:\quad 5\\\mathrm{Prime\:factorization\:of\:}11:\quad 11\\\\=5\times \:11\\\\=55

5 0
2 years ago
A ball is shot upward from a slingshot at a velocity of 15 m/s the height of the ball after t seconds is given by h(t)=10+ 5t+1/
otez555 [7]

Answer:

The instantaneous velocity after eight seconds is 9 m/s

Step-by-step explanation:

Given as :

The ball shot upward with velocity of 15 m/s

The height of the ball after t sec is given as h(t) = 10 + 5t + \frac{1}{4}t^{2}

Now, The instantaneous velocity after 8 sec = \frac{\partial h(t)}{\partial t}

Or, The instantaneous velocity = \frac{\partial (10 +5t + \frac{1}{4}t^{2})}{\partial t}

or, The instantaneous velocity = 5 + \frac{1}{4}\times 2 t

Now at t = 8 sec

The instantaneous velocity = 5 + 4 = 9 m/s

Hence The instantaneous velocity of ball at t = 8 sec , is 9 m/s  Answer

3 0
3 years ago
Wanda starts with $1200 and deposits $40 per week. Zelda starts with $700 and deposits $50 per week. When will Wanda have the sa
Masja [62]
Let the number of weeks to have same amount = x Then:-

1200 + 40x = 700 + 50x
1200 - 700 = 50x - 40x

10x =  500
x = 50  
answer is 50 weeks
4 0
2 years ago
Marco read that a honey bee can fly up to 2.548meyers per second. he rounded the number to 2.55. to witch place valuedid marcoro
Kay [80]
He rounded to the hundredths place.
4 0
3 years ago
What is the linear function equation represented by the graph?
SVETLANKA909090 [29]

Answer:

y=\frac{1}{3}x -4

Step-by-step explanation:

To write a linear function, use y=mx+b where m is the slope and b is the y-intercept. The y-intercept is where the line on the graph crosses the y-axis. On the graph is crosses at (0,-4). So b=-4. To find the slope, subtract the difference between two points on the line which cross through a grid line intersection. (0,-4) is one point. (3,-3) is another.

\frac{-3--4}{3-0}=\frac{-3+4}{3} =\frac{1}{3}

Input 1/3 and b=-4 into y=mx+b.

y=\frac{1}{3}x -4

4 0
3 years ago
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