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lbvjy [14]
2 years ago
8

How fast is the train going if it can travel 100 miles in 30 minutes?

Mathematics
1 answer:
DerKrebs [107]2 years ago
4 0

30 min = 30/60 hr = 0.5 hr

d = rt

100 = r*0.5

100/0.5 = r

200 = r

r = 200 mph.

We know that Rate = distance/time

(30 minutes is .5 hour)

Rate=100 mile/.5 hour

Divide and we get:

Rate=200 MPH

(Hint: MPH is Miles per Hour---Per means "for each")

Make sense?

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A town has a population of 2000 and grows at 4.5% each year. What will the population be after 13 years, to the nearest whole nu
77julia77 [94]

Answer:

<u><em>3544.392</em></u>

Step-by-step explanation:

The value of the total number of population is P=2000The value of the rate of interest isR%=4.5%The value of the time is T=13yrs

For compounded annually

n=1

The expression for the final value of the population after

13years is,A=2000(1+4.5100)13=3544.392

if you can give me brainliest that would be great

4 0
3 years ago
The score on a trivia game is obtained by subtracting the number of incorrect answers from twice the number of correct answers.
guajiro [1.7K]

Answer: the player answered 30 questions correctly.

Step-by-step explanation:

Let x represent the number of questions that the player answered correctly.

Let y represent the number of questions that the player answered incorrectly.

The number of questions that the player answered is 40. It means that

x + y = 40- - - - - - - - - - -1

The score on the trivia game is obtained by subtracting the number of incorrect answers from twice the number of correct answers. If the player obtained a score of 50, It means that

2x - y = 50

y = 2x - 50

Substituting y = 2x - 50 into equation 1, it becomes

x + 2x - 50 = 40

3x - 50 = 40

3x = 40 + 50 = 90

x = 90/3

x = 30

5 0
3 years ago
Find the volume of the described solid s
Serga [27]

Answer:lol it’s 697

Step-by-step explanation: it could be

8 0
3 years ago
What is the value of X?
forsale [732]

Answer:

The horizontal value in a pair of coordinates: how far along the point is. The X Coordinate is always written first in an ordered pair of coordinates (x,y), such as (12,5). In this example, the value "12" is the X Coordinate. Also called "Abscissa"

Step-by-step explanation:

hope this helps sorry if it didn’t

7 0
2 years ago
A standard oil drum is a cylinder with a volume of approximately 218.276 liters (or 0.218276 cubic meters). The cost of producin
Arte-miy333 [17]

Answer:

r = 2,85 feet

h = 8,56 feet

Step-by-step explanation:

Area of two circular caps (m ^(2)) : 2* pi* r^(2) (where  r is the radius of circular cap)     Area of wall (m ^(2))  is 2*pi*r*h (where h is the height of drum)

V= pi*r^(2)*h           so  h=V/pi*r^(2)   (1)

Cost in $:

Cost of wall 25 $/m^(2) plus 10% for manufacturing so:

C(w) = 27,5*2*pi*r*h $/square feet

Cost of (both top and bottom cap) = 2*40,97*pi* r^(2) so:

C(caps) = 257,29* r^(2) $/squaer feet

Total cost of cylnder = cost of wall + cost of caps

Total cost f cylinder: F(c)= 55*pi*r*h+257,29* r^(2)

F(c) = 172,7*r*h + 257,29*r^(2)         F(c)  is F(r)

Since from (1) we have h=218,276/pi*r^(2)  

F(r) = (172,7)*r*(69,514)/r^(2) +257,29*r^(2)           F(c) = 12005/r + 257,29*r^(2)

Taken the first dervative

F´(r)= -12005*(1)/r^(2) +2*257,29*r         F´(r) =  -12005*(1)/r^(2) +514,58*r

f F´(r) = 0          -12005*(1)/r^(2) + 514,58*r =0

-120005 + 514,58*^(3) = 0          514,58*^(3) = 12005      r =cubic root (23,32)

r = 2,85 ft

if we replace this value en F(r) we can see F(r) tend to infinite both when r tend to 0 and when r tends to infnite so there is a minimun for the functon

r = 2,85 ft    and   h = 8,56 ft

5 0
3 years ago
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