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ohaa [14]
3 years ago
8

Train A and train B leave a central station at the same time. They travel the same speed, but in opposite directions, with train

A heading towards station A, and train B heading towards station B. Train A reaches station A after 2 1/2 h. Train B reaches station B after 4 h. Station A and B are 585 mi apart.
What is the rate of the trains?
Mathematics
2 answers:
mash [69]3 years ago
6 0
Speed = distance / time
since they are moving in opposite direction, the time is the sum of the two times = 2 1/2 + 4 = 6 1/2 = 13/2

speed = 585/(13/2) = 90 miles per hour.
notka56 [123]3 years ago
4 0

Took the test: 90 Miles per hour is correct

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See the explanation

<h2>Explanation:</h2>

A system that has one or infinitely many solutions is called <em>consistent. </em>If an equation in a system tells us no new information then the equations of the system are <em>dependent. </em>In other words, to find an equation that creates a consistent and dependent system with the given equation we have to get the same line:

The given line is:

x-y=-2

If we multiply both sides of the equation by a constant we will have the same line when plotting, therefore let's multiply by 3:

3(x-y)=3(-2) \\ \\ 3x-3y=-6

So a system of two linear equation that is consistent and dependent is:

\left \{ {{x-y=-2} \atop {3x-3y=-6}} \right.

<h2>Learn more:</h2>

Graph of lines: brainly.com/question/14434483#

#LearnWithBrainly

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3 years ago
The distance between -2 and 4 on the number line can be found by which expression
Dahasolnce [82]
4 - -2

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6 0
3 years ago
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Write 95.417 in expanded form with multiplication
Svetllana [295]
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6 0
3 years ago
What is the volume of a small cone if:
Amiraneli [1.4K]

Answer:

Volume of smaller cone =301.44

Step-by-step explanation:

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Same cone angle is for smaller one because they are similar.

cos(\alpha ) = 4/5

Now for smaller cone radius be R

3/5 =R/Slant height

Slant height =5/3R

Lateral surface area =\frac{1}{2}R^{2}\beta  [R = slant height]  

Given lateral surface area =60\pi =\frac{1}{2}(\frac{5R}{3} )^{2} \beta   ...................................1

2\pi R=\frac{5R}{3}\beta        ................................................2

\beta=\frac{6\pi }{5}

Put angle beta in equation 1 and find the value of R

R =6 cm

Height =\frac{4R}{3}

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4 0
3 years ago
One marketing company assumes a yearly growth in social media followers of 2.5% after implementing their ideas. Their client cur
tatyana61 [14]

Answer:

The number of follower after x years is  40,000(1.025)^{x}

Step-by-step explanation:

Given as :

The number of current followers = p = 40,000

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The time period of growth = t = x years

Let The number of follower after x years = A

<u />

<u>Now, According to question</u>

The number of follower after x years = number of current followers × (1+\dfrac{\textrm rate}{100})^{\textrm time}

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So, The number of follower after x years = A = 40,000 × (1.025)^{x}

Hence, The number of follower after x years is  40,000(1.025)^{x}  Answer

4 0
3 years ago
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