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
stich3 [128]
2 years ago
5

Gilda walks to the train station. If she walks at the rate of 3 mph, she misses her train by 7 minutes. However, if she walks at

the rate of 4 mph, she reaches the station 5 minutes before the arrival of the train. Find the distance Gilda walks to the station.
David knew he made a mistake when he calculated that Gilda walks 123 miles to the station. Read through David's calculations:Using d = rt, the distance is the same, but the rate and time are different.If Gilda misses the train, it means the time t needs 7 more minutes so d = 3(t + 7).If she gets to the station 5 minutes early means the time t can be 5 minutes less so d = 4(t - 5).3(t + 7) = 4(t - 5)3t + 21 = 4t - 20t = 41d = rt, so d = 3(41) = 123Find David's mistake in his calculations. In two or more complete sentences, explain his mistake. Include the correct calculations and solutions in your answer.
Mathematics
2 answers:
lorasvet [3.4K]2 years ago
7 0
We'll represent the distance as d and the time as t. 
d= 3(t+7)            because Gilda is 7 minutes late when travelling 3 mph
d= 4(t-5)             because Gilda is 5 minutes early at 4 mph

d= 3t + 21
d= 4t -20
3t +21 =4t -20
41=t
d= 3(41) +21= 144
The distance is 144 miles. 
Yuri [45]2 years ago
3 0
d=3(t + 7)\ \ \ if\ Gilda\ walks\ of\ 3mph\\.\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ she\ is\  7\ minutes\ after\ departure\ of\ the\ train\\\\ d= 4(t - 5)\ \ \ if\ Gilda\ walks\ of\ 4mph\ \\.\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ she\ is\  5\ minutes\ before\ the\ train\ \\\\3(t+7)=4(t-5)\\\\3t + 21 = 4t - 20 \\\\t = 41\ \ \ \Rightarrow\ \ \ d=3(t+7)=3\cdot(41+7)=3\cdot48=144\\\\Ans.\ The\ distance\ to\ the\ station\ is\ 144\ miles.
You might be interested in
Anyone know the answer??
Xelga [282]

Answer

3.5 x 10^{3}

Step-by-step explanation

3 0
3 years ago
A cone has a height of 4 in and a radius of 6 in. What is the volume of the cone?
MatroZZZ [7]

Answer:

48π in³

Step-by-step explanation:

V=\frac{1}{3} \pi r^2h

Plug in the radius 6 in and the height 4 in

V=\frac{1}{3} \pi (6)^2(4)\\V=\frac{1}{3} \pi (36)(4)\\V=\frac{1}{3} \pi (144)\\V=48\pi

Therefore, the volume of the cone is 48π in³.

I hope this helps!

3 0
2 years ago
The equation below shows the total volume (V), in cubic units, of 2 identical boxes with each side equal to s units:
trasher [3.6K]
Start with the equation,

V = 2s^3

Now substitute s with 3.5 units and evaluate the expression.

V = 2 * (3.5 units)^3

V = 2 * 42.875 units^3

V = 85.75 units^3

Answer: The volume is 85.75 cubic units
3 0
3 years ago
Define the pattern 1,3,9,27 next three terms
mixer [17]
81 , 243 , 729 the pattern is mutiply each by three
3 0
2 years ago
Read 2 more answers
You are ordering shirts for the math club at your school. Short-sleeved shirts cost $10 each. Long-sleeved shirts cost $12 each.
Taya2010 [7]

Answer:

10x+12y=300

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Other questions:
  • Is 60o grams equal to 6 kilograms
    15·2 answers
  • Are 55:100 and 66:120 equal
    12·1 answer
  • The crose harbor tunnel is about 1900m long . it is a little less than --------- km.
    8·1 answer
  • A highway department executive claims that the number of fatal accidents which occur in her state does not vary from month to mo
    10·1 answer
  • How many degrees is Negative StartFraction pi Over 8 EndFraction radians?
    5·1 answer
  • Very Confused please help!
    7·1 answer
  • Which two numbers have an absolute value of 50
    11·1 answer
  • I need help right away with the next problem.
    7·1 answer
  • Alright here is the next question
    10·2 answers
  • This is for people who just want to talk
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!