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Allisa [31]
2 years ago
9

A train travels from Washington D.C. to New York (225 miles). The train departs at 4:55 PM and arrives in New York at 7:55 PM. W

hat is the average speed of the train?
Mathematics
1 answer:
kicyunya [14]2 years ago
7 0

7:55 pm - 4:55 pm = 3 hours

225 miles / 3 hours = 75 miles per hour

Average speed = 75 miles per hour

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Simplify m(2+n-m)+3(3n+m^2-1)
mina [271]

Answer:2m^2+mn+2m+9n-3

Step-by-step explanation:

m(2+n-m)+3(3n+m^2-1)

open brackets

2m+mn-m^2+9n+3m^2-3

Collect like terms

3m^2-m^2+mn+2m+9n-3

2m^2+mn+2m+9n-3

4 0
2 years ago
Sten sat on a bench and read a book while Manu was at soccer practice. He read for 35 minutes and stopped at 6:10 p.m.
Dahasolnce [82]

Answer:

5:35

Step-by-step explanation:

6 0
2 years ago
Jordan uses a linear equation to model the data in a table. Which reasoning might Jordan have used in the decision to model the
Mariulka [41]
The last option:The change in y-values is constant for evenly spaced x-values.

Remember that the change in y divided by the change in x is the slope of a line and it is constant.



3 0
2 years ago
Read 2 more answers
The ubiquitous 12oz aluminum cans used to distribute drinks in this country have a diameter of approximately 2.75 inches and a h
gayaneshka [121]

Answer:

3.5%

Step-by-step explanation:

The volume of a cylinder = \pi r^2h

<em>r</em> = radius of cylinder,

<em>h</em> = height of cylinder

For the non-optimal can,

<em>r</em> = 2.75/2 = 1.375

<em>h</em> = 5.0

V = \pi(1.375^2)\times 5.0 = 9.453125\pi

<em />

For the optimal can,

<em>d</em>/<em>h</em> = 1,

<em>d</em> = <em>h</em>

2<em>r </em>=<em> h</em>

<em>r</em> = h/2

V = \pi\left(\dfrac{h}{2}\right)^2\times h = \pi\left(\dfrac{h^3}{4}\right)

They have the same volume.

<em />\pi\dfrac{h^3}{4} = 9.453125\pi<em />

h^3 = 37.8125

h=3.36 (This is the height of the optimal can)

r = \dfrac{3.36}{2} = 1.68 (This is the radius of the optimal can)

The area of a cylinder is

<em />A = 2\pi r(r+h)<em />

For the non-optimal can,

A = 2\pi\times\dfrac{2.75}{2}\left(\dfrac{2.75}{2}+5.0\right) = 17.53125\pi

For the optimal can,

A = 2\pi\times1.68\left(1.68+3.36\right) = 16.9344\pi

Amount of aluminum saved, as a percentage of the amount used to make the optimal cans = \dfrac{17.53125\pi - 16.9344\pi}{16.9344\pi}\times 100\% = 3.5\%

5 0
3 years ago
on a trip, you had to change your money from dollars to British pounds. you got 560 pounds for 800 dollars. which is a unit rate
Bond [772]
1pound is 800/560......which is 80/56-->10/7
so 1 pound is 10/7 dollars....
because you don't say for one dollar it is this many pounds. 
also for unit rate i divide by 560 on both sides to get one pound on one side and then how many dollars on the other
6 0
2 years ago
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