A car traveling at 48 mph overtakes a cyclist who is riding at 16mph had a 3 hour head start how far from the starting point does the car overtake the cyclist?

Answers

Answer 1

The car overtakes the cyclist at a distance of 72 miles from the starting point.

,Speed is the ratio of distance travelled to time taken. It is given by:

Speed = distance / time

Let the car overtake the cyclist at distance d and time t.

For the car:

48 = d / t

d = 48t

For the cyclist:

16 = d / (t + 3)

d = 16t + 48

48t = 16t + 48

32t = 48

t = 1.5 hours

d = 48(1.5) = 72 miles

The car overtakes the cyclist at a distance of 72 miles from the starting point.

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Related Questions

what is 12 3/4 divided by 3

Answers

Answer:

4.25 as decimal and 4 1/4 as a fraction

Step-by-step explanation:

George is building a rabbit run in his backyard he makes the length 2/7km and the width 1/5km draw a sketch of his rabbit run and then find the area

Answers

Here !

I hope this helps you a little ,

Solve this plz question plz​

Answers

We have: [tex](-\frac{15}{18})[/tex] ÷ [tex](-\frac{20}{24})[/tex] = [tex]\frac{-15}{18} .\frac{-24}{20} = \frac{(-3)(5).(-4)(6)}{(3)(6).(4)(5)} = 1[/tex]

ANSWER: 1

ok done. Thank to me :>

Answer:

1

Step-by-step explanation:

[tex]( - \frac{15}{18} ) \div ( - \frac{20}{24} ) \\ now \: you \: have \: fraction \: divided \: by \: fraction \: then \: do \: reciprocal \: \\ ( - \frac{15}{18} ) \times ( - \frac{24}{20} ) \\ = 1[/tex]

Please hurry!! This assignment is almost due thank you!!

Answers

Answer:

x = 33

Step-by-step explanation:

(x-17)°+(5x-1)°=180°

6x-18 = 180

6x = 198

x = 33

One hundred voters were asked whether they supported a bill that had

Answers

The question is cut off.

PLEASE HELP!!!! Identify the mistake and use the correct answer to the problem!!!

Answers

Answer:

1 [tex]\frac{3}{8}[/tex]

Step-by-step explanation:

the denominators must be the same so, since 4 goes evenly into 24 we can create an equivalent fraction from 3/4 to 18/24 (multiply numerator and denominator by 6)

now you can add:

[tex]\frac{15}{24}[/tex] + [tex]\frac{18}{24}[/tex] = [tex]\frac{(15+18)}{24}[/tex] = [tex]\frac{33}{24}[/tex]

since the numerator is larger than the denominator this is called an improper fraction and can be changed into a mixed number by dividing 24 into 33

24 goes into 33 one time with a remainder of 9

so 33/24 = 1 [tex]\frac{9}{24}[/tex] wherein 9 and 24 can each have a 3 factored out to make it fully simplified

9÷3 = 3

24÷3 = 8

final answer is 1 [tex]\frac{3}{8}[/tex]

Answer:

11/8 is the correct answer

Step-by-step explanation:

15/24 + 3/4

Reduce the fraction   15/24 ​   to lowest terms by extracting and canceling out 3.

=5/8 +3/4

Least common multiple of 8 and 4 is 8. Convert 5/8 and 3/4 to fractions with denominator 8.

= 5/8 + 6/8

since 5/8 and 6/8 have the same denominator, add them by adding their numerators.

= 5 + 6/8

Add 5 and 6 to get 11.

=11/8

here is why 9/14 is wrong

Given ω=[tex]\frac{3-2i}{5-6i}[/tex] , find ω in the a+bi form.

Answers

Answer:

Solution is given in the photo

Please help me!! I don't understand
No linksssss

Answers

Answer:

thanks haahhahahaha

Step-by-step explanation:

A square is a quadrilateral with four equal sides and four 90 degree angles. Is quadrilateral ABCD a square?

Answers

Answer: yes

Step-by-step explanation:

Find the slope
(3,5) and (6,9)

Answers

Answer:

4/3 or 1 1/3

Step-by-step explanation:

To find slope, we subtract the y-values (9 - 5), then divide the difference we find from that by the difference of the x-values (6 - 3). So, let's go ahead and do that now. First, what's 9 - 5? Well, the answer is 4. Next, we have to divide this value by 6 - 3, which is equivalent to 3. Then, we divide the two numbers - what is 4 ÷ 3? Well, we can represent this as 4/3, or 1 1/3. Hopefully that's helpful - if you have any questions on that, let me know! :)

Answer:

Slope is 4/3

Step-by-step explanation:

Slope or gradient can be found by using several formulas. For this situation, we can use rate of changes between two points also known as rise over run or changes in y over change so in x.

The formula of slope between two points can be expressed as several equations, expressions, etc such as:

[tex]\displaystyle \large{m=\frac{dy}{dx}=\frac{y_2-y_1}{x_2-x_1} =\frac{\Delta y}{\Delta x}[/tex] where m is a variable representing the slope.

Since we are given two points, we are going to use the y2-y1 over x2-x1 formula.

Let (3,5) be (x1,y1,) and (6,9) be (x2,y2) thus the slope is [tex]\displaystyle \large{m=\frac{y_2-y_1}{x_2-x_1} =\frac{9-5}{6-3} =\frac{4}{3}[/tex]

Therefore the slope of two points is 4/3.

__________________

Let me know in comment if you have any questions.

There are two types of packages that are available for hotel stay

- you can use the hotel unlimited for $500 a month

- Or you can spend $50 a day per visit.

Enter an equation that can be used to find the number of visits per month needed for the two packages to cost the same amount

Answers

Answer:

for one month 500$

for daily visit 50$

500$=50$*x days

x days=500$/50$

x days = 10 days

10 days of daily visits costs 500$ equal to one month

Which of the following is equal to 7 1/4?

Answers

Answer:

C

Step-by-step explanation:

[tex]7^{\tfrac 14} = \sqrt[4]{7}[/tex]

The angle of depression from a window 10 m above the ground to a coin on the ground is 15°. Find the distance of the coin from the base of the building. Show your reasoning for each step.

Answers

Here is the answer and the working

What is the length of LN in the right triangle below?

Answers

Answer:

D 280

Step-by-step explanation:

Pythagoras theorem

Answer:

a

Step-by-step explanation:

LN=√19^2 - 9^2

=√361 - 81

=√280

One advantage of a variable interest rate over a fixed interest rate is that a

variable rate:

A. is often lower initially

B. offers borrowers more flexible terms.

c. can be used for large purchases.

D. increases when the market rate increases

Answers

The term variable implies that the rate is bound to change over time, in this context variable interest rate may double as an Advantage and also as a disadvantage.

D. increases when the market rate increases

Variable interest rate is advantageous because as the market rate increases, the rate at which the customer will receive his/her interest will increase too

Learn more about interest rate here:

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Answer: a

Step-by-step explanation:

⦁ Simplify: –3|–2| + 4|–5|
show work

Answers

Answer:

-3|-2|+4|-5|=14

Step-by-step explanation:

3| -2 =6

4| -5| =20

= -6+20

Simplify -

14

Thank You! I hope I could make your day just a little bit better!

need this soon please

Answers

Answer: pretty sure -7

Step-by-step explanation:

Answer:

-7

Step-by-step explanation:

(-80) - (-10) is -79

-70 / (+10) = -7

shirt original price is $100 and is now 50% off what is the discount price now​

Answers

Answer:

$50.00 is the discount price

Oceanside Bike Rental Shop charges 13 dollars plus 8 dollars an hour for renting a bike. Tim paid 45 dollars to rent a bike. How many hours did he pay to have the bike checked out?​

Answers

Step-by-step explanation:

Shop charges =13

Many left for renting bike = 45-13 =$32

If renting for 1hr cost $8

then renting for X Hrs will cost $32

1/X =8/32 cross multiplying

8X= 32

X= 32÷8= 4hrs

please need help with this Calculus question

Answers

So what’s the question?

Help help help math math

Answers

1/8= 0.125
Rounded to the thousandth place- 0.13

Solve the equation square root of x-2+5 = 7 for the variable. Show each step of your solution process

Answers

Answer:

x=4

Step-by-step explanation:

x+3=7

subtract 3 from both sides

simplify

100 POINTS
Please HELP I THINK ITS THE ANSWER I CLICKED THAT HAS A BLUE CIRCLE BUT I dont know

Answers

You’re correct!
a is equal to three less than twice b

Hope this helps!
Brainliest and a like is much appreciated!

Answer:

Option D

Step-by-step explanation:

Twice b means b is multiplied by 2 or 2b3 less than twice b means it's subtracted or 2b-3.

The expression is a=2b-3

How can you solve multistep equations that represent real world
scenarios?

Answers

Yeah like you can do scenarios or examples or you can get creative

WRITE THE FUNCTION RULE FOR F(X)=-6;X-AXIS

Answers

Answer:

-6 is Y

Step-by-step explanation:

When ever the number is outside of the f(x) it is = y.

Please answer.
No scammers and links

Answers

all triangles are similar but B and D may be the answer

A store manager kept track of the number of newspapers sold each week over a seven-week period. The results are shown below.
81 71 202 113 269 248 242
Find the median number of newspapers sold.
CE
O A. 242 newspapers
OB 175 newspapers
OC. 113 newspapers
OD. 202 newspapers

Answers

OD Step-by-step explanation:

The median of the of the number of newspapers sold by shopkeeper is 202 .

Given,

A store manager kept track of the number of newspapers sold each week over a seven-week period.

81 71 202 113 269 248 242.

Now,

The median of the dataset is the middle value of the dataset, which means that 50 % of the values are below the mean and 50% of the values are above the mean.

Rearrange the dataset in ascending order as

71, 81, 113, 202, 242, 248, 269.

Thus the median will be the 4th value.

Hence the median will be 202.

Thus the correct option will be 202 Newspapers.

Know more about median,

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what is the value of x that makes the equation 8 x -4 equal 96 true​

Answers

Answer:

x= 12.5 or 25/2

Step-by-step explanation:

8x - 4 (+4) = 96 (+4)

8x (/8) = 100 (/8)

x= 12.5 or 25/2

I need help solving this problem

Answers

What is the problem you are trying to solve

If the sum of six consecutive even integers is 438, what is the smallest of the six integers?

Answers

46
Because the sum of six consecutive is 46
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