1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
malfutka [58]
3 years ago
12

Question 2 Two trains leave the station at the same time, one heading west and the other east. The westbound train travels at 95

miles per hour. The eastbound train travels at 115 miles per hour. How long will it take for the two trains to be 294 miles apart?
Mathematics
1 answer:
lianna [129]3 years ago
6 0

Answer:

it will take 1.4 hours for the two trains to be 294 miles apart

Step-by-step explanation:

Let t be the time taken for each train

The westbound train travels at 95 miles per hour.

Speed of westbound train = 95

time = t

Distance = speed * time = 95 t

The eastbound train travels at 115 miles per hour

Speed of eastbound train = 115

time = t

Distance = speed * time = 115 t

both trains are 294 miles apart means the distance between both trains are 294 miles

So we add the distance of both trains and set it equal to 294

95t + 115t = 294

210 t =294

t = 1.4

So, it will take 1.4 hours for the two trains to be 294 miles apart

You might be interested in
At the store deli, Rita spent $13.45 on 5 pounds of cheese. How much would it cost to buy 2 pounds of cheese?
spayn [35]
Let x be he price of 2 pound of cheese. Then:
13.45/5 = x/2
x = 13.45*2/5
x = 5.38
The answer will be $5.38
4 0
3 years ago
Read 2 more answers
.Daniella has two jobs. She earns $7 per hour babysitting her neighbor's children and she earns $12 per hour working at the coff
Evgen [1.6K]

Answer:

The inequality to represent this scenario is given as:

7x + 12y ≥ 200

Step-by-step explanation:

From the question:

Daniella has two jobs. She earns $7 per hour babysitting her neighbor's children and she earns $12 per hour working at the coffee shop.

Let:

The number of hours babysitting = (x) The number of hours working at the coffee shop= (y)

We are told in the question that:

Daniella will need to work to earn at least $200.

At least means equal to or greater than

Hence,

The inequality to represent this scenario is given as:

$7 × x + $12 × y ≥ $200

7x + 12y ≥ 200

6 0
3 years ago
What is the solution to the system of equation
Neko [114]
The solution of such a system is the ordered pair that is a solution to both equations. To solve a system of linear equationsgraphically we graph both equations in the same coordinate system. The solution to the system will be in the point where the two lines intersect.
8 0
3 years ago
Please help with the following question. Thank you
Alexxandr [17]

Answer:399

Step-by-step explanation:

Sp= 100-5/100*420

95*42/10= 399

3 0
3 years ago
How to do question 1?Had no idea how to do both parts
givi [52]
y=\dfrac{\ln x}{3x-6}

Differentiate both sides with respect to x:

\dfrac{\mathrm dy}{\mathrm dx}=\dfrac{\frac{3x-6}x-3\ln x}{(3x-6)^2}

When x=1, you have

\dfrac{\mathrm dy}{\mathrm dx}=\dfrac{\frac{3-6}1-3\ln1}{(3-6)^2}=\dfrac{-3}9=-\dfrac13

For part (b), we now assume that x and y are functions of an independent variable, which we'll call t (for time). Now differentiating both sides with respect to t, we have

\dfrac{\mathrm dy}{\mathrm dt}=\dfrac{\frac{3x-6}x-3\ln x}{(3x-6)^2}\dfrac{\mathrm dx}{\mathrm dt}

where the chain rule is used on the right side. We're told that y is decreasing at a constant rate of 0.1 units/second, which translates to \dfrac{\mathrm dy}{\mathrm dt}=-0.1. So when x=1, you have

-0.1=\dfrac{\frac{3-6}1-3\ln1}{(3-6)^2}\dfrac{\mathrm dx}{\mathrm dt}
-0.1=-\dfrac13\dfrac{\mathrm dx}{\mathrm dt}
\dfrac{\mathrm dx}{\mathrm dt}=0.3

where the unit is again units/second.
6 0
3 years ago
Other questions:
  • What's 8/74's Simplest form?
    13·2 answers
  • Help its due today ill do anythinggg
    15·1 answer
  • Are 3abx2 and 3abx<br> like terms?
    6·2 answers
  • Please help I will give out brainliest
    13·2 answers
  • -3(-2x + 10) what is the answer to that .
    8·1 answer
  • a recipe to make chocolate chip cookies calls for 2 eggs for every 12 ounces of chocolate chips if the chef wants to use 7 eggs
    14·1 answer
  • Fast-food restaurants spend quite a bit of time studying the amount of time cars spend in their drive-throughs. Certainly, the f
    10·1 answer
  • PLEASE HELP!!!!!!
    14·2 answers
  • The amount a person paid for a monthly gym membership went from $40 per month to $32 per month. Find the percent of change.
    5·2 answers
  • A manufacturer of window frames knows from long experience that 5 percent of the production will have some type of minor defect
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!