answer.
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
Agata [3.3K]
2 years ago
9

Question 5 of 13, Step 1 of 1

Mathematics
1 answer:
Georgia [21]2 years ago
6 0

Answer:

It will take Mrs Chandler 18 hours 45 minutes or 18.75 hours to catch up Mr Chandler

Step-by-step explanation:

What we want to know here is that at how many hours will they have traveled same distance.

Let the total time taken by Mrs Chandler to catch up be x hours

Since Mr Chandler left 2.5 hours earlier , then the total time taken by him would be x + 2.5 hours

Now, we know that distance = speed * time

Since it’s same distance covered;

For Mr Chandler, his distance is calculated as 75(x + 2.5)

For Mrs Chandler, her distance is calculated as 85x

We equate both since they are equal;

75(x + 2.5) = 85x

75x + 187.5 = 85x

85x -75x = 187.5

10x = 187.5

x = 18.75 hours or 18 hours 45 minutes

You might be interested in
A gardener has 640 feet of fencing to fence in a rectangular garden. One side of the garden is bordered by a river and so it doe
kari74 [83]

9514 1404 393

Answer:

  • 160 ft (out from the river)
  • 320 ft (parallel to the river)

Step-by-step explanation:

Let x represent the length of fence parallel to the river. Then the dimension of perpendicular to the river will be half the remaining fence: (640-x)/2. The total area will be ...

  A = x(640-x)/2

This is the equation of a parabola that opens downward. It has zeros at x=0 and x=640, so its axis of symmetry is x = (0+640)/2 = 320. That is, the peak of the area curve is found when x=320.

The dimensions of the garden with the largest area are 160 ft wide by 320 ft long, where the long side is the river side.

6 0
2 years ago
Nina can ride her bike 63,360 feet in 3,400 seconds, and Sophia can ride her bike 10 miles in 1 hour . What is Nina’s rate miles
faltersainse [42]

Answer:

Nina's rate in miles per hour is 2.7 miles/hour

Nina bikes faster

Step-by-step explanation:

we know that

1 hour=3,600 seconds

1 mile=5,280 feet

<em>Convert feet to miles</em>

63,360 feet=63,360/5,280=12 miles

Convert seconds to hours

3,400 sec=3,400/3,600=0.94 hours

Find Nina's rate in miles per hour

12/0.94=12.7 miles/hour

Sophia's rate in miles per hour is 10 miles/hour

Compare the rates

12.7 miles/hour > 10 miles/hour

therefore

Nina bikes faster

8 0
2 years ago
Roger built a model car of a station wagon he actually owns. Based on the ratio on the box, he knows that every inch in the leng
Cerrena [4.2K]
Every inch of length of his model is representative of 25 inches in the actual car. So if the the actual car was 25 inches long, the model would be 1 inch long. The means the ratio of length is 0.04. You take that number, and multiply it by length of the actual car. 0.04 x 193.75 inches = 7.75 inches. The length of the model car is 7.75 inches.
3 0
2 years ago
Which equation correctly applies the law of cosines to solve for an unknown angle measure?
Harman [31]
The law of cosines is:
c² = a² + b² - 2abCos(C)
Therefore, in order to apply this law, we must know the value of two adjacent sides, represented by a and b here, and the value of their subtended angle, represented by C. 
8 0
2 years ago
Read 2 more answers
1. Dennis made a 500 km trip in five hours. For the first two hours, Dennis had an average speed of 150 km/h. For the last two h
Sati [7]

Answer:

The correct option is;

Dennis must have stopped for an hour in the middle of this trip

Step-by-step explanation:

The given parameters are;

The distance Dennis covered in 5 hours = 500 km

Dennis's average speed in the first two hours = 150 km/h

Dennis's average speed in the last two hours = 100 km/h

Therefore;

Dennis traveled 150 km/h × 2 h = 300 km in the first two hours

Dennis traveled 100 km/h × 2 h = 200 km in the last two hours

Which gives, Dennis traveled 300 km + 200 km in  2h + 2h = 4h

Therefore, Dennis traveled 500 km in 4 hours and Dennis must have stopped for an hour in the middle of this trip.

6 0
2 years ago
Other questions:
  • 1+4=5 2+5=12 3+6=21 8+11=? puzzle answer
    10·1 answer
  • Use the quadratic model y = −4x2 − 3x + 4 to predict y if x equals 5.
    13·2 answers
  • Bill Payne visits his local bank to see how long it will take for $1,000 to amount to $1,900 at a simple interest rate of 12 ½%.
    14·1 answer
  • Gina wants to take dance classes. She compares two dance studios to determine which has the best deal for her. Dance World charg
    10·1 answer
  • There are 11 students participating in a spelling bee. in how many ways can the students who go first¸ second¸ and third in the
    5·1 answer
  • I need to increase my sales by 35% in order to meet my goal for the month. you have 45 Sales and need?
    9·2 answers
  • A school principal has to choose randomly among the six best students in each grade to be the school captain every month. For th
    14·2 answers
  • 108 identical books have a mass of 30 kg,find the mass of 150 such books
    5·1 answer
  • This diagram shows triangles ABC and PQR. ABC is mapped to PQR by combining two single transformations. The first is a rotation
    14·1 answer
  • The center of an ice rink is located at (0, 0) on a coordinate system measured in meters. Susan is skating along a path that can
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!