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Arlecino [84]
3 years ago
8

A train leaves Roseville heading east at 6:00 am at 40 miles per hour. Another eastbound train leaves on a parallel track at 7:0

0 am at 50 miles per hour. What times will it be when the two trains are at the same distance away from Roseville?
Mathematics
1 answer:
Molodets [167]3 years ago
6 0

Answer:

At 11:00 am the both trains will be at same distance away from Roseville

Step-by-step explanation:

The first train was 40 miles away from Roseville at 7:00 am

After some time t the both trains will be at the same distance away from Roseville.

We will make equation for that situation

d- distance      v1= 40mph and v2= 50mph -  velocity

d =  v1*t + 40 = v2*t  => v2*t - v1*t = 40 => t (v2-v1) = 40 -> t = 40/ (v2-v1)

t = 40/(50-40) = 40/10= 4h      t = 4h

7:00 am * 4h = 11:00 am

Good luck!!!

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Mei and Alberto are selling cookie dough. Mei sold 11 packages of chocolate chip and 12 packages of gingerbread for a total of $
ycow [4]

Answer:

The price of a package of chocolate chip is $13.25

The price of a package of gingerbread is $17.18

Step-by-step explanation:

11x + 12y = 352

10x +8y = 270

Let "x" be the price of a package of chocolate chip.

Let "y" be the price of a package of gingerbread.

11x + 12y = 352(Multiply the 1st row by 10)

10x +8y = 270 (Multiply the 2nd row by 11)

-------------------

110x + 120y = 3520

110x +88y = 2970

--------------------------

        3y = 550

y =550/3

y = 17.1875

The price of a package of gingerbread "y" is $17.18

Let's pick the first equation "110x + 120y = 3520"

110x + 120y = 3520

110x+ 120(17.1875)= 3520

110x+2062.5=3520

110x=3520−2062.5

110x=1457.5

x= 1457.5/110

x=13.25

The price of a package of chocolate chip is $13.25

6 0
3 years ago
Can someone please turn this into a equation and then solve it plz it’s due tommorow
jeka57 [31]
If the perimeter is 28 units, then you know you will have to add the same four numbers to get the perimeter. What times 4 can get you to 28? 7. 7 x 4=28. So what plus 3 gets us to 7? 4. The answer is 4, or x=4.
5 0
3 years ago
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The science class is taking a trip to the science center. There are 20 students and an unknown number of adults chaperones going
JulijaS [17]

It's going to be C. 15... You can easily figure this out by using the equation 35 - 20 = x

8 0
3 years ago
The power P of a jet of water is jointly proportional to the cross sectional area A and to the cube ofthe velocity V. (a) Write
anastassius [24]

Answer:

a)  P=kAV^3

b)  54

Step-by-step explanation:

a)

If one quantity, A, is jointly proportional to other 2 quantities (B & C), we can write proportionality equation as:

A=k*B*C

Where

k is the proportionality constant

Now, for this problem, P is jointly proportional to A and CUBE OF V, so we can write:

P=kAV^3

b)

Now velocity, V, is triples, which means it becomes 3V

Also, cross sectional area, A, is doubled, which means it becomes 2A

Let's put these into formula and see the difference:

P=kAV^3\\P=k(2A)(3V)^3\\P=k(2A)(27V^3)\\P=(2*27)kAV^3\\P=54kAV^3

So, power is multiplied by a factor of 54. Power becomes 54 times if Area is doubled and velocity is tripled ( as seen ).

8 0
3 years ago
60% of a number is 90 what is the number?​
kramer

Answer:

The number is 150

Step-by-step explanation:

Is means equals and of means multiply

60 % * N = 90

.60 N = 90

Divide each side by .6

N = 90/.6

N =150

5 0
2 years ago
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