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
SpyIntel [72]
3 years ago
10

A walker and a cyclist are 45 miles apart. They move towards each other with speeds of 5 mph and 10 mph respectively. In how man

y hours will they meet?
Mathematics
1 answer:
Ymorist [56]3 years ago
4 0

Answer: they will meet after 3 hours.

Step-by-step explanation:

Let t represent the number of hours it will take them to meet.

A walker and a cyclist are 45 miles apart. If they move towards each other, in t hours, they would have covered a total of 45 miles

Distance = speed × time

They move towards each other with speeds of 5 mph and 10 mph respectively. It means that the distance covered by the walker in t hours is 5 × t = 5t

Also, the distance covered by the cyclist in t hours is 10 × t = 10t

Since the total distance covered us 45 miles, then

5t + 10t = 45

15t = 45

t = 45/15

t = 3 hours

You might be interested in
What is 5\10 plus +8\100
Tasya [4]

Answer:its 0.58

Step-by-step explanation:

5 0
3 years ago
Express a decimal number ( ie 0.768) - process description please - as a rational number (96/125)?
Stels [109]

The decimal representation of any number is a linear combination of powers of 10. In other words, given a number like 123.456, we can expand it as

1\cdot10^2+2\cdot10^1+3\cdot10^0+4\cdot10^{-1}+5\cdot10^{-2}+6\cdot10^{-3}

10^{-n}=\dfrac1{10^n} for any n, so the above is the same as

100+20+3+\dfrac4{10}+\dfrac5{100}+\dfrac6{1000}=\dfrac{100000+20000+3000+400+50+6}{1000}=\dfrac{123456}{1000}

Similarly, we can write

0.768=\dfrac{768}{1000}

Now it's a question of reducing the fraction as much as possible. We have \mathrm{gcd}(768,1000)=8 so

\dfrac{768}{1000}=\dfrac{96\cdot8}{125\cdot8}=\dfrac{96}{125}

5 0
3 years ago
Last week, the members of a weight loss support group collectively weighed 1,580 pounds. They just weighed in again and are now
rosijanka [135]

Answer: 1,501

Step-by-step explanation:

100% = 1,580

100% - 5% lost

95%

1580 x .95 = 1501

3 0
3 years ago
Jessica made plans to weave a rectangular jute rug, but she needs to update the plans to change the dimensions of the rug. The o
loris [4]

Answer:

Length of rug in original design is 36 inches .

Width of rug in original design is  60 inches .

The problem says that the new design has length 3x inches longer  and x inches wider than the rug in the original plans .

New length of rug would be 3x inches longer than the original design  which is 36 inches .

Thus new length of rug is  ( 3x + 36  )  inches .

New width of rug is x inches wider than the rug in the original plans which is 60 inches in original plan .

Thus new width of rug is   ( x + 60   )   inches .

Area of rectangle is  Length * Width  

Area of new rug is   ( 3x + 36 ) * ( x + 60 )

We distribute the terms using FOIL method .

( 3x + 36 ) *( x + 60 )  = 3x ( x + 60 ) + 36 ( x + 60 )

                                    =  3x² +  3x * 60  + 36 x  + 36 * 60

                                    =   3x²  + 180 x + 36 x + 2160

    Combining like terms ,  3x² + 216 x + 2160

Thus the area of the rug with the new dimensions is

( 3x + 36) ( x + 60 )  = 3x² + 216 x + 2160 .

7 0
3 years ago
Read 2 more answers
40 points worth do it please!! It’s due soon!!! What types of lines are they
Paraphin [41]
Not sure but acute ?
3 0
3 years ago
Other questions:
  • Which is the equation of the axis of symmetry of the graph of y=-3(x-6)^2+5
    13·2 answers
  • It took researchers three weeks to analyze a large amount of data using a supercomputer. How many minutes did it take them to an
    11·2 answers
  • if a normal distribution has a mean of 132 and a standard deviation of 20 what is the value that has a z score of 1.8?
    12·2 answers
  • This is a test so it would be great if you could help! I suck at math lol
    7·1 answer
  • The temperature in city increased from -12 F at the dawn to 7 F in the afternoon. what was the change in temperature in degrees
    9·1 answer
  • Try Again
    6·1 answer
  • Y = 1/2x + 2<br> What is the slope?
    8·2 answers
  • 1. David and Darlene Jasper have one child, Sam, who is 6 years old (birthdate July 1, 2013). The Jaspers reside at 4639 Honeysu
    5·1 answer
  • Olivia orders 24 cupcakes and a layer cake. The layer cake costs $16, and the total cost of the order is $52. What is the cost o
    9·2 answers
  • Bobs snowplow business charges 300$ per season plus 10$ for each walkway shoveled, while mikes snow removal charges 250$ per sea
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!