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
amm1812
2 years ago
13

two trains leave towns 480 km apart at the same time and travel toward each other. one train travels 18 km/h faster than the oth

er. If they meet in 2 hours what is the rate of each train?
Mathematics
1 answer:
KonstantinChe [14]2 years ago
3 0
\begin{gathered} \text{Let assume one train spe}ed\text{ is x km/h} \\ \text{Second train spe}ed\text{ is }\Rightarrow(x+18)\text{ km/h} \\ \text{They m}eet\text{ in 2 hour,so} \\ 2=\frac{480}{x+x+18} \\ 2x+18=\frac{480}{2} \\ 2x=240-18 \\ x=\frac{222}{2} \\ x=111\text{ km/h (1st train spe}ed) \\ x+18=111+18=129\text{ km/hr (2nd rain sp}eed)\text{ } \end{gathered}

You might be interested in
Write forty and eight tenths as a decimal. 48.1 40.8 40.08 40.008
tankabanditka [31]
Fourty and eight tenths as a decimals is 40.8. More than one pounds behind decimal is too much and a different number other than 8 is wrong. The answer is B: 40.8.
4 0
3 years ago
Read 2 more answers
I need help plz!!!!!!
GrogVix [38]

Answer:

put -2 in -2    /   put -2 again in same spot and again just do it for 3 times then 1/3 in the middle of 0 and -2 but a bit closer to the -2

Step-by-step explanation:

8 0
3 years ago
The table shows three values of x and their corresponding values of f (x) for a linear function f, such that f (r) = 0 and f (0)
Rus_ich [418]

Using a linear function, it is found that the product rs is rs = 81.

<h3>What is a linear function?</h3>

A linear function is modeled by:

y = mx + b

In which:

  • m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
  • b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.

In this problem, when x changes by 68(from -64 to 68), y changes by -16(from 12 to -4), hence the slope is given by:

m = -16/64 = -0.25.

Hence:

y = -0.25x + b.

When x = 34, y = -4, hence this is used to find b.

-4 = -0.25(34) + b

b = 4.5.

Hence the function is:

y = -0.25x + 4.5.

f(r) = 0, hence:

-0.25x + 4.5 = 0

x = 4.5/0.25

x = 18

r = 18.

f (0) = s, hence s = 4.5.

Then the value of the product is:

rs = 18 x 4.5 = 81.

More can be learned about linear functions at brainly.com/question/24808124

#SPJ1

7 0
2 years ago
What are the potential solutions to the equation 2ln(x+3)=0
skad [1K]
2\ln(x+3)=0\implies \ln(x+3)^2=0\implies e^{\ln(x+3)^2}=e^0\implies (x+3)^2=1

Expanding the left side gives

x^2+6x+9=1\implies x^2+6x+8=0\implies (x+4)(x+2)=0

which gives two solutions, x=-4 and x=-2. But if x=-4, then \ln(x+3)=\ln(-1), but this number isn't real, so x=-4 is an extraneous solution. Meanwhile if x=-2, you get \ln(-2+3)=\ln1=0, so this solution is correct.

"Potential solutions" might refer to both possibilities, but there is only one actual (real) solution.
4 0
4 years ago
Read 2 more answers
Help with these please and highly appreciate the help !!!!!!!
k0ka [10]
Which one will we start with? I'll explain 21. multiply it out and the clean it up. you should end up with 140=A if I'm correct.
7 0
4 years ago
Other questions:
  • The temperature outside an airliner was -50 f this was 110 degrees f less than the temp in the ground write an equation to repre
    9·1 answer
  • THIS IS EXTREMELY URGENT PLEASE ANSWER
    6·1 answer
  • 3 square root of negative 125
    15·1 answer
  • In the past, 75% of the tourists who visited Chattanooga went to see Rock City. The management of Rock City recently undertook a
    10·1 answer
  • Given the equation Y-4=3/4(x+8) in point-slope form, identify the equation of the same line in standard form
    8·1 answer
  • Number of Acres
    6·1 answer
  • The graph of y=f(x) is shown below. Which point could be used to find f(-2)
    12·1 answer
  • 1. Before tax, the price of your bill was $24. With tax included, you paid $25.74. What percent sales tax did you pay?
    12·2 answers
  • 2. (0, 3); slope = -2
    10·1 answer
  • Slope = 4; (3, 8)<br> ???
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!