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
Anna35 [415]
3 years ago
10

you and your friend start biking to opposite directions from the same point. You travel 108 feet every 8 seconds. Your friend tr

avels 63 feet every 6 seconds. a) how far apart are you and your friend after 15 minutes? b) after 20 minutes you take a 5- minutes rest, but your friend does not. How far apart are you and your friend after 40 minutes? Explain your reasoning.
Mathematics
1 answer:
juin [17]3 years ago
5 0

Answer:

To find your distance apart, you can convert 15 minutes to seconds because that is what the rate is given in.

15 mins x 60 seconds = 900 seconds.

Step-by-step explanation:

In 900 seconds, there are 900/8=112.5 groups of 8 seconds. This means there are 112.5 groups of 108 feet.

112.5 x 108 = 12150 feet

12150 feet/5280 feet is approximately 2.3 miles.

For your friend you take 900/6 = 150 groups of 6 seconds.

150 x 63 = 9540 feet

9540 feet/5280 feet = 1.79 miles

1.79 miles + 2.3 miles = 2.09 miles

You and your friend are about 2.09 miles apart after 15 minutes.

B). If you go 2.3 miles every 15 minutes, that means you travel about 0.77 miles every 5 minutes. If you travel 20 more minutes (40-15-5) that would be 0.77x 4=3.07 miles more

3.07 + 2.3 = 5.37 miles after 40 minutes (you).

Your friend travels 1.79 in 15 minutes, so 1.79/3 = 0.6 miles every 5 minutes

0.6 x 5 (5 x 5 = 25 minutes)= 3 miles

1.79 + 3 miles= 4.79 miles (friend)

4.79 + 5.37 = 10.16 miles

You and your friend are about 10.16 miles apart after 40 minutes.

You might be interested in
PLEASE HELPO 25 POINTS
Grace [21]

Answer:

an = 1/2 (n) (n+1)

Step-by-step explanation:

1,3,6,10,.........

3-1=2

6-3=3

Each term is different so there is no common difference.  It is not an arithmetic sequence

3/1=3

6/3 =2

Each term is different so there is no common ratio.  It is not a geometric sequence

1       3            6        10

  +2          +3          +4


a1 = 1

a2  = 3

a3 = 6 = 2*3

a4 =  10 = 2*5


6 0
3 years ago
Point C is the center of dilation. Line segment B A is dilated to create line segment B prime A prime. The length of C A is 4. T
saw5 [17]

Answer:

Step-by-step explanation:

Given

See attachment for figure

CA = 4

CA' = 16

Required

The scale factor (k)

Since point C is the center of dilation, the scale factor (k) is calculated using:

k = \frac{CA + CA'}{CA}

So, we have:

k = \frac{4+16}{4}

k = \frac{20}{4}

k = 5

8 0
3 years ago
X < -4.8
Kamila [148]

Answer:

D & E

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
I need help and i need it fast TIME DUE 4 MIN
Phoenix [80]

Answer:

18

Step-by-step explanation:

multyply both like 10 x 6 then 11 x 7 after that subtrac the numbers that you múltiple and you will get the answer

8 0
3 years ago
For a moving object,When. The force acting on the object varies directly with the object's acceleration. When a force of 64 N ac
Tems11 [23]

Answer:

72 N

Step-by-step explanation:

From the question.

Force is directly proportional to acceleration, with the mass of the object constant.

F α a

F = ka

F₁/a₁ = F₂/a₂....................... Equation 1

Where F₁ = Initial force, a₁ = initial acceleration. F₂ = final force, a₂ = Final acceleration.

make F₂ the subject of the equation

F₂ = (F₁/a₁)a₂................ Equation 2

Given; F₁ = 64 N, a₁ = 8 m/s², a₂ = 9 m/s²

Substitute these values into equation 2

F₂ = (64/8)(9)

F₂ = 72 N

5 0
3 years ago
Other questions:
  • Find the coordinates of the midpoint of the segment with the given pair of endpoints. J(6, 6); K(2, –4)
    14·1 answer
  • Tests for tuberculosis like all other diagnostic tests are not perfect. QFT-G is one of such tests for tuberculosis. Suppose tha
    11·1 answer
  • A training field is formed by joining a rectangle and two semicircles, as shown below. The rectangle is 90 m long and 66 m wide.
    14·1 answer
  • What the coordinates of the midpoint of (2,4) and (3,5) ​
    10·1 answer
  • A rectangular carpet measures 12m by 5m. Part of the carpet is covered by a square rug of length 2m. What fraction of the carpet
    11·1 answer
  • During a pandemic, 135 students out of 750 who attend were absent. What percent of students were absent?
    12·2 answers
  • What is the range of the function g(x) = |x - 12| - 2?
    14·1 answer
  • Help me please!!!!! I need help with angles
    5·1 answer
  • What is the best way to display data if there is a wide range and we want to see individual data?
    6·2 answers
  • Daniel wants to do 208 practice problems to prepare for an exam. If he wants to do 8 problems a day, how many days
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!