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NARA [144]
3 years ago
14

6 please thank you so much yesss

Mathematics
1 answer:
Lilit [14]3 years ago
5 0
The answer is C..................
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An Eastbound train (E) traveling 95 mph and a Westbound train (W) traveling 110 mph leave the same train station at different ti
Simora [160]

Answer:

The system of linear equations that can be used to determine the time that each of the trains has been traveling is:

E + W = 4 ....... Equation 1

95 E + 110W = 400  ......Equation 2

Hence,

An Eastbound train has been travelling for =  (E) = 2.67 hours

A Westbound train has been travelling for =  (W) = 1.33 hours

Step-by-step explanation:

An Eastbound train (E) traveling 95 mph and a Westbound train (W) traveling 110 mph leave the same train station at different times. After 4 hours, they are 4 00 miles apart. Which system of linear equations can be used to determine the time that each of the trains has been traveling?

Speed = Distance/Time

Distance = Speed × Time

Let the time

An Eastbound train =  (E)

A Westbound train =  (W)

E + W = 4 hours ....... Equation 1

95mph × E + 110mph × W = 400 miles

95 E + 110W = 400 miles ......Equation 2

The system of linear equations that can be used to determine the time that each of the trains has been traveling is:

E + W = 4 ....... Equation 1

95 E + 110W = 400  ......Equation 2

E = 4 - W

We substitute 4 - W for E in Equation 2

95 (4 - W) + 110W = 400  

380 - 95W + 110W = 400

Collect like terms

95W - 110W = 400 - 380

15W = 20

W = 20/15

W = 1.3333333333 hours

≈ 1.33 hours

E = 4 - W

E = 4 - 1.33 hours

E = 2.67 hours

Therefore,

An Eastbound train has been travelling for =  (E) = 2.67 hours

A Westbound train has been travelling for =  (W) = 1.33 hours

8 0
3 years ago
Solve for k.<br> k/7 + -31= -34
Ksju [112]


7
−
3
1
=
−
3
4
k
k
7
−
31
=
−
34
7kk​−31=−34

2
7
−
3
1
=
−
3
4
I think that’s the right answer
7 0
3 years ago
What is the point-slope form of a line with slope 6 that contains the point
blondinia [14]

Answer:

<h2>The answer is option C</h2>

Step-by-step explanation:

To find an equation of a line in point slope form when given the slope and a point we use the formula

y -  y_1 = m(x -  x_1)

where

m is the slope

( x1 , y1) is the point

From the question the point is (1,2) and the slope is 6

The equation of the line in point slope form is

<h2>y - 2 = 6( x - 1)</h2>

Hope this helps you

8 0
3 years ago
It is currently 0 degrees outside and the temperature is dropping 4 degrees every hour. The temperature after h hours is -4h. Ex
Ymorist [56]

Answer:

-4x3.5=-14

Step-by-step explanation:

divide -14 by -4 wich = 3.5

6 0
2 years ago
Read 2 more answers
Factor completely 5a2 + b.<br><br> Prime<br><br> a(5a + b)<br><br> b(5a2)<br><br> ab(5a + 1)
Tatiana [17]
\sf {5a^2+b~is~\boxed{\bf{prime}}}

It is prime because it has no common factors in 5a^2 and b.

The answer is A<span>.</span>
6 0
3 years ago
Read 2 more answers
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