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
valentinak56 [21]
3 years ago
12

The average speed of Car 1 = 45 mph.

Mathematics
2 answers:
oee [108]3 years ago
7 0

Answer:

\boxed{\text{0.675 h}}

Step-by-step explanation:

18 min = 0.3 h

Car 1 started 0.3 h before Car 2.

  Let t = time of Car 2. Then

t + 0.3 = time of Car 1

Distance = speed × time, and both cars travel the same distance. Then

\begin{array}{rcl}45(t + 0.3) & = & 65t\\45t + 13.5 & = & 65t\\20t & = & 13.5\\t & = & \textbf{0.675 h}\\\end{array}\\\text{Car will overtake Car 1 in } \boxed{\textbf{0.675 h}}

Check:

\begin{array}{rcl}45(0.675 + 0.3) & = & 65 \times 0.675\\45 \times 0.975 & = & 43.875\\43.875 & = & 43.875\\\end{array}

OK.

Radda [10]3 years ago
3 0

Answer:

Car2 overtakes Car1 after 0.675 hours

Step-by-step explanation:

To solve this question, we must know that

Speed = distance / time

Speed_car1 = 45 mph = distance_car1/ time_1

Speed_car2= 65 mph = distance_car2/ time_2

We know that

time1 - time2 = 18 minutes = 0.3 h

And, at the time of the overtake, both cars will have traveled the same distance.

So,

distance_car1 = 45 mph * time1 = distance_car2 = 65 mph * time2

time1 / time2 = 65/45

time1 = 1.444*time2

Then,

1.444*time2- time2 =  0.3 h

time2 = 0.675 h

time1 = 0.975 h

Car2 overtakes Car1 after 0.675 hours

You might be interested in
This week Kent worked 15 hours at $12.50 an hour. His paycheck, including his commission, was $263.85. Ken wants to
EastWind [94]

Answer:

A

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
A map has a scale of 1: 500 000.
Shkiper50 [21]

Answer:

350km

Step-by-step explanation:

If a map has a scale of 1: 500000, then 1 cm on the map is 500000 cm

So 7 cm on the map is 35000000 cm = 350 km

8 0
2 years ago
Read 2 more answers
Which does not show a direct variation between x and y?
Zepler [3.9K]
A direct variation is a mathematical relationship between two variables that can be expressed by an equation in which one variable is equal to a constant times the other. In other words, a direct variation is where y = x * (constant).

In answer a, y = x*.5, so it is a direct variation.
In answer c, y = x* \frac{1}{9}, so it is a direct variation.
In answer d, y = x*2, so it is a direct variation,

Only answer b is left, which means the answer must be 'b'. 

We also know 'b' is the answer because it cannot be expressed as <span>y = x * (constant). Instead, it is expressed as </span>y =  \frac{constant}{x}, which is not the same thing and is therefore not a direct variation.

Hope I helped, and let me know if you have any questions :)
8 0
3 years ago
Read 2 more answers
Long division (4b^3+10b^2-32b+15) divided by (4b-6)
MrMuchimi

Answer:

4b^3 + 10b^2 - 32b + 15

___________________

             2(2b - 3)

Step-by-step explanation:

Take out the greatest common factor of (4b - 6) which is 2 and 3.

8 0
3 years ago
Use a calculator to find the r-value of these data. Round the value three decimal places.​
Soloha48 [4]

Answer:

Option C. r=-0.901

Step-by-step explanation:

we know that

Using a Excel tool (Correl function)

see the attached table

The r-value is r=-0.901

8 0
3 years ago
Read 2 more answers
Other questions:
  • Which of the following are solutions?
    6·1 answer
  • Harry plotted a new point Q that partitioned the directed segment from A to B into a 1:1 ratio. A. Find point Q given that A(6,
    12·1 answer
  • Jasmine is a receptionist at doctors office. She books 36 appointments each day. Four out of every 24 appointments are canceled.
    5·1 answer
  • Joe drew a circle Whose Circumference is 25 cm Mario drew a circle who is diameters three times the dynamic number of Joe Circle
    12·1 answer
  • 224 divided by 7 in distributive property
    7·1 answer
  • Which graph represents the hyperbola of (x ^ 2)/9 + (y ^ 2)/4 = 1
    13·1 answer
  • Please helpp!!<br> I neeeed help!!!!!
    15·2 answers
  • :( HELP ME PLEASE ASAP
    6·2 answers
  • Can anyone help me with this. please​
    5·1 answer
  • Someone please answer this, I would really be appreciative.
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!