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
adell [148]
2 years ago
11

Jill and Jack are exercising at a beach. They both start from the car park at one end of the beach. Jill runs at a constant spee

d and Jack walks at a constant speed. When Jill turns at the end of the beach to run back, she notices that Jack is then halfway along the beach. How far along the beach will Jack be when JIll next passes him
Mathematics
1 answer:
mina [271]2 years ago
4 0

Jack is at (2/3) of the length of the beach (measuring from the point where they started).

<h3>How far along the beach will Jack be when JIll next passes him?</h3>

Let's think that the whole beach is like a line track of length L.

We know that when Jill completes reaches the end (one complete run) Jack only completed half of it.

So in the time that jill covers the distance L, Jack covers a distance of L/2. So the ratio of their speeds is 2:1 (Jill's speed is double of Jack's speed).

At this point, Jill is on the end of the track and Jack is on the middle, so the distance between them is L/2.

Because of the ratios between the speeds, we know that when they meet again, Jill will have covered 2 thirds of that distance, and jack will cover the other third of that distance.

A third of that distance is:

(L/2)/3 = L/6

So, when they meet, Jack is at L/6 of the middle of the beach, which means that Jack is:

L/2 + L/6 = 3L/6 + L/6 = 4L/6 = 2L/3

Jack is at (2/3) of the length of the beach (measuring from the point where they started).

If you want to learn more about distances:

brainly.com/question/4931057

#SPJ1

You might be interested in
A home alarm system randomly assigns a five-character code for each customer. The code will not repeat a character. The characte
ahrayia [7]

Answer:

The total number of codes which can be assigned is, 55440 .

Step-by-step explanation:

According to the question, the home alarm system randomly assigns a five-character code for each customer.The code will not repeat a character and there are 11 distinct characters.

So, the total number of codes that can be randomly assigned is given by,

^{11}{P}_{5}

= \frac {11!}{6!}

= 11 \times 10 \times 9 \times 8 \times 7

= 55440

5 0
3 years ago
Bobby’s uncle gave him 300 baseball cards. Each week, Bobby purchases 40 baseball cards to add to his collection.
sertanlavr [38]

Answer:

300 + 40w => 300

Step-by-step explanation:

4 0
4 years ago
Read 2 more answers
Which shows the list of numbers in order from least to greatest?
Minchanka [31]

Answer:

The answer is A.-2, |-4/5|, |-1|, |3.5|, |-4.2|

Step-by-step explanation:

3 0
3 years ago
The ratio of boys to girls in a local choir is 7:10. If there are 35 boys in the choir, how many girls are there?
erica [24]

Answer:

50 girls

Step-by-step explanation:

Given data

We have the ratio as

7:10

The total part = 7+10= 17

let the number of boys and girls be x

applying the part to all method

7/17= 35/x

cross multiply

7x= 35*17

7x=595

x=595/7

x= 85

Hence the number of girls is

=85-35

=50 girls

3 0
3 years ago
1) A rectangular storage container with an open top is to have a volume of 15 m 3 . The length of its base is four times the wid
My name is Ann [436]

9514 1404 393

Answer:

  a) V = 4w²h

  b) SA = 4w² +10wh

  c) SA = 4w² +37.5/w

  d) C = 40w² +225/w

Step-by-step explanation:

The relevant formulas are ...

  V = LWH

  base area = LW

  lateral area = H(2(L+W))

__

a) The length is 4 times the width, so the volume is ...

  V = (4w)(w)(h)

  V = 4w²h

__

b) The total surface area is the sum of the base area and the lateral area:

  SA = base area + lateral area

  SA = (4w)(w) + 2h(4w +w)

  SA = 4w² +10wh

__

c) The volume is 15 m³, so the height in meters in terms of the width in meters is ...

  15 = 4w²h

  h = 15/(4w²)

Then the surface area is ...

  SA = 4w² +10w(15/(4w²))

  SA = 4w² +37.5/w

__

d) The equation we have for surface area has one term for base area and a second term for lateral area. We can apply the cost factors to those terms to get the cost of materials:

  C = 10(4w²) +6(37.5/w)

  C = 40w² +225/w

4 0
3 years ago
Other questions:
  • In this geometric sequence, what is the common ratio?
    8·1 answer
  • A rectangular prism has a length of 5 cm, a width of 212 cm, and a height of 112 cm. Which expressions can be used to find the v
    5·2 answers
  • ASAP Show work!!<br><br> 3/7w - 11 = -4/7w
    8·1 answer
  • Cody donated $15 to the local Humane Society his brother donate at four dollars less than twice the amount that Cody donated how
    8·1 answer
  • A group of campers hike 2 1/2 km every hour. How many km can they hike for 3 2/4 hours?
    13·1 answer
  • A rectangular box has a volume x^3-64 cubic inches. If the height of the box x-4 inches, what is the area of the base of the box
    14·1 answer
  • Use the clustering estimation technique to find the approximate total in the following question.
    8·2 answers
  • The package of cheese shown below cost
    14·1 answer
  • Drew dis its one of kmk charactersssss
    15·1 answer
  • Display each set of data in a stem-and-leaf plot.
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!