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
nalin [4]
3 years ago
8

Biking at 10 mph, it takes Kristen 1/4 hour to reach the train station to go to work. Kristen then takes the train to work, and

it takes another 1/4 hour for her to get to work when the train travels 20 mph. How far does Kristen travel to work?
Mathematics
1 answer:
11Alexandr11 [23.1K]3 years ago
3 0

Answer:

Kirsten travels 7.5 miles to go to work.

Step-by-step explanation:

Bike: 10 MPH

Time: 1/4 Hour

1/4 of 10 = 2.5

Distance travelled on bike: 2.5 miles

Train: 20 MPH

Time: 1/4 Hour

1/4 of 20 = 5

Distance travelled by train: 5 miles

Add the distances together.

5 + 2.5 = 7.5

7.5 miles

You might be interested in
1!+2(2!)+3(3!)+...+n(n!)=(n+1)!-1<br><br><br><br><br>​
anyanavicka [17]

Step-by-step explanation:

OK, let's assume it this way:

<em>Sn=1.1!+2.2!+3.3!+...+n.n!</em><em>=</em><em>(</em><em>2</em><em>‐</em><em>1</em><em>)</em><em>.</em><em>1</em><em>!</em><em>+</em><em>(</em><em>3</em><em>-</em><em>1</em><em>)</em><em>.</em><em>2</em><em>!</em><em>+</em><em>(</em><em>4</em><em>-</em><em>1</em><em>)</em><em>3</em><em>!</em><em>+</em><em>.</em><em>.</em><em>.</em><em>+</em><em>(</em><em>(</em><em>n</em><em>+</em><em>1</em><em>)</em><em>-</em><em>1</em><em>)</em><em>.</em><em>n</em><em>!</em>

Sn=1.1!+2.2!+3.3!+...+n.n!=(2‐1).1!+(3-1).2!+(4-1)3!+...+((n+1)-1).n!<em>=</em><em>(</em><em>2</em><em>.</em><em>1</em><em>!</em><em>-</em><em>1</em><em>!</em><em>)</em><em>+</em><em>(</em><em>3</em><em>.</em><em>2</em><em>!</em><em>-</em><em>2</em><em>!</em><em>)</em><em>+</em><em>(</em><em>4</em><em>.</em><em>3</em><em>!</em><em>-</em><em>3</em><em>!</em><em>)</em><em>+</em><em>.</em><em>.</em><em>.</em><em>+</em><em>(</em><em>(</em><em>n-1</em><em>)</em><em>n</em><em>!</em><em>-</em><em>n</em><em>!</em><em>)</em><em>=</em><em>(</em><em>2</em><em>!</em><em>-</em><em>1</em><em>!</em><em>)</em><em>+</em><em>(</em><em>3</em><em>!</em><em>-</em><em>2</em><em>!</em><em>)</em><em>+</em><em>(</em><em>4</em><em>!</em><em>-</em><em>3</em><em>!</em><em>)</em><em>+</em>

Sn=1.1!+2.2!+3.3!+...+n.n!=(2‐1).1!+(3-1).2!+(4-1)3!+...+((n+1)-1).n!=(2.1!-1!)+(3.2!-2!)+(4.3!-3!)+...+((n-1)n!-n!)=(2!-1!)+(3!-2!)+(4!-3!)+<em>.</em><em>.</em><em>.</em><em>+</em><em>(</em><em>n</em><em>+</em><em>1</em><em>)</em><em>!</em><em>-</em><em>n</em><em>!</em><em>=</em><em>(</em><em>n</em><em>+</em><em>1</em><em>)</em><em>!</em><em>-</em><em>1</em><em>!</em><em>=</em><em>(</em><em>n</em><em>+</em><em>1</em><em>)</em><em>!</em><em>-</em><em>1</em>

and boom problem solved

7 0
2 years ago
a parking lot has total of 60 cars and trucks. the ratio of cars to trucks is 7:3 how many cars are in the parking lot. How many
Lerok [7]
7+3=10
60/10=6
6x7=42
6x3=18
there is 18 trucks in the parking lot
7 0
3 years ago
9 unit percent change is 23, what is the 19th unit percent cahnge?
vichka [17]

Answer:

42.40705%

Step-by-step explanation:

(1 - (23/100)^(19/9) = 1 + r/100

0.57593 = 1 + r/100

r = 42.40705%

6 0
2 years ago
There are at least 5 slices of bread left in the bag. Use p as your variable
kykrilka [37]

Answer: p ≤ 5

Step-by-step explanation: The inequality is: p ≤ 5

8 0
3 years ago
Order the following list of numbers from least to greatest <br>V35, 5.7, 17/3, 5.83<br>​
irina1246 [14]

Answer:  

17/3, 5.7, 5.83, √35.

Step-by-step explanation:

√35, 5.7, 17/3, 5.83

√35 = 5.916

5.7 = 5.700

17/3 =  5.667

5.83 = 5.830.

So the answer is  17/3, 5.7, 5.83, √35.

​

8 0
3 years ago
Other questions:
  • Solve the inequality.<br><br> 2(4 + 2x) ≥ 5x + 5?
    13·2 answers
  • What is the equation of the following line written in general form Y minus intercept is -1
    8·1 answer
  • Calculate the velocity of a bowling ball that moves 11 meters in 6 seconds.
    12·1 answer
  • Please help I’ll give brainlieast answer all questions
    14·1 answer
  • Herald's Printing needs to ship 56,000 programs to the Queen basket team. The printing company can fit 800 programs in each box.
    6·1 answer
  • Write the radian measure of each angle with the given degree measure explain your reasoning
    6·1 answer
  • A truck is 2000 kg and has a cargo load of 1000 kg. Its speed is 50 km/h. The momentum for the truck and cargo is
    7·1 answer
  • Suppose that y is inversely proportional to the 4th power of x, and that y=16 when x=6. What is y when x=3? Round your answer to
    10·2 answers
  • Select all prisms that have a volume between 25 and 40 cubic units?
    12·2 answers
  • Find the values of a and b that complete the mapping diagram.
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!