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
1 year 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]1 year 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
Given ABCD - WXYZ, Find the length of the segment AD, If Ab=12 WX=20 and WZ=8
hodyreva [135]

Answer:

8

Step-by-step explanation:

the length of segment AD would be 8 since segment AD and segment WZ are equal in length!

8 0
2 years ago
1. Which describes the intersection of plane A and line m?
NeTakaya
1. The intersection between plane A and line n is the point x
2. Since the right angle is bisected, the two smaller angles produced have measures of 45 degrees. 
<span>c. m∠CEB = 45°
3. There is only 1 line that can be drawn between J and K</span><span />
4 0
3 years ago
Read 2 more answers
Quest
kupik [55]
The answer is:

The pineapples Mr. Lester sells are $2.40
4 0
3 years ago
1. Given the following diagram. (a) Name the minor arc __________ Name the major arc ___________ (b) If the minor arc is 112°, w
Dmitriy789 [7]

Answer:

a) XY , XVY

b) 248°

c) UV , UY

d) 6√5 = 13.42

Step-by-step explanation:

a) The minor arc is XY

   The major arc is XVY

b) ∵ The measure of the minor arc is 112°

    ∵ The measure of the circle is 360°

    ∴ The measure of the rest arc = 360 - 112 = 248°

c) UV is the tangent to the circle

   UY is the secant to the circle

d) ∵ UV is a tangent to the circle at V

    ∵ UY is a secant to the circle

    ∴ (UV)² = (UX) × (UY)

    ∵ UX = 9 and XY = 11 ⇒ ∴ UY = 11 + 9 = 20

     ∴ (UV)² = 9 × 20 = 180

      ∴ UV = √180 = 6√5 = 13.42

6 0
3 years ago
The formula A=200e^.033t models the population of a particular city, in thousands, t years after 1998. When will the population
svetoff [14.1K]

Answer:

In the year 2010

Step-by-step explanation:

we have

A=200e^{0.033t}

where

A is the population in thousands

t is the number of years since 1998

so

For A=297 thousands

substitute and solve for t

297=200e^{0.033t}

simplify

1.485=e^{0.033t}

Apply ln both sides

ln(1.485)=ln[e^{0.033t}]

ln(1.485)=(0.033t)ln(e)

Remember that

ln(e)=1

ln(1.485)=(0.033t)

t=\frac{ln(1.485)}{0.033}

t=12\ years

1998+12=2010

7 0
3 years ago
Other questions:
  • How to solve this? I know how to do the Pythagorean theorem but this only gives 1 side
    12·1 answer
  • 3/5x + 1/4y = -1/2 in standard form
    12·1 answer
  • Ashley, tom, and pablo sent a total of 90 text messages over their cell phones during the weekend. pablo sent 6 fewer messages t
    8·1 answer
  • The area of a rectangular playground enclosure at Happy Times Nursery School is 600 sq. Meters.The length is 25 meters longer th
    11·1 answer
  • X y
    12·1 answer
  • Without actually solving the equation, explain why the equation √(x+1 + 2=0 has no solution.
    10·1 answer
  • In a salsa recipe, the number of tomatoes added is proportional to the amount of salt added. This graph shows the relationship.
    9·2 answers
  • What is 30% written as a fraction in simplest form? (Lol I asked the wrong question earlier this is what I meant )
    10·2 answers
  • Exclain why 0.32 with a line above it is greater than 0.32
    9·1 answer
  • Help plzzz I need answer ASAP
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!