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
Sliva [168]
3 years ago
10

Last Saturday, Niki went on a bike ride from her house to the park. The total distance she travelled on her bike was 3 1/5 miles

. What is this number of miles written as an improper fraction?
Select one:
A. 31/5
B. 3 5/1
C. 16/3
D. 16/5
Mathematics
2 answers:
Mnenie [13.5K]3 years ago
5 0

Answer:

D. \frac{16}{5}

Step-by-step explanation:

3\frac{1}{5}

To rewrite a mixed number as an improper fraction, first, multiply the whole number by the denominator.

3*5=15

Then, add this number to the numerator.

15+1=16

This number is now the numerator of the fraction. The denominator stays the same.

\frac{16}{5}

I hope this helps!

tangare [24]3 years ago
3 0

Answer:

C. 16/5

Step-by-step explanation:

First, note that 3 1/5 is a mixed number, also know as mixed fraction. It has a whole number and a proper fraction. The numbers in the mixed fraction are defined as follow:  

3 = whole number  

1 = numerator  

5 = denominator

To convert mixed number 3 1/5 to improper fraction, you follow these steps:  

Multiply the whole number by the denominator  

3 × 5 = 15  

Add the product from Step 1 to the numerator  

15 + 1 = 16

Write answer from Step 2 over the denominator  

16/5

The mixed number 3 1/5 converted to improper fraction is therefore :  

16/5

You might be interested in
Which of the following points is in the solution set of y > -x2 + 5? (0, 5) (1, 3) (2, 4)
mylen [45]

Answer:

(2, 4)

Step-by-step explanation:

The only point that satisfies the inequality is (2, 4).

(0, 5) : -0^2 +5 = 5 . . . . . not > 5

(1, 3) : -1^2 +5 = 4 . . . . . . 3 is not > 4

(2, 4) : -2^2 +5 = 1 . . . . . . 4 is greater than 1, so this point is in the solution set.

5 0
3 years ago
Based on the table, what is Nick's rate?
Murrr4er [49]
21 /3 = 7
35 / 5 = 7
63 / 9 = 7

 his rate is B. 7 yds/sec

5 0
3 years ago
Read 2 more answers
Which subset of real numbers does not contain the number 1?
Leni [432]

Answer:

I think the answer might be c or b.I hope this helps

5 0
3 years ago
Evaluate 4(3h + 7)<br> ————— for h = -2<br> 4 +h
Juliette [100K]

If i understood the question right, you're trying to find the value when h = -2. If that's true so here is how it's done:

4(3h + 7)\\4(3(-2) + 7)\\4(-6+7)\\4(1)\\=4

3 0
3 years ago
Distance between two ships At noon, ship A was 12 nautical miles due north of ship B. Ship A was sailing south at 12 knots (naut
frozen [14]

Answer:

a)\sqrt{144-288t+208t^2} b.) -12knots, 8 knots c) No e)4\sqrt{13}

Step-by-step explanation:

We know that the initial distance between ships A and B was 12 nautical miles. Ship A moves at 12 knots(nautical miles per hour) south. Ship B moves at 8 knots east.

a)

We know that at time t , the ship A has moved 12\dot t (n.m) and ship B has moved 8\dot t (n.m). We also know that the ship A moves closer to the line of the movement of B and that ship B moves further on its line.

Using Pythagorean theorem, we can write the distance s as:

\sqrt{(12-12\dot t)^2 + (8\dot t)^2}\\s=\sqrt{144-288t+144t^2+64t^2}\\s=\sqrt{144-288t+208t^2}

b)

We want to find \frac{ds}{dt} for t=0 and t=1

\sqrt{144-288t+208t^2}|\frac{d}{dt}\\\\\frac{ds}{dt}=\frac{1}{2\sqrt{144-288t+208t^2}}\dot (-288+416t)\\\\\frac{ds}{dt}=\frac{208t-144}{\sqrt{144-288t+208t^2}}\\\\\frac{ds}{dt}(0)=\frac{208\dot 0-144}{\sqrt{144-288\dot 0 + 209\dot 0^2}}=-12knots\\\\\frac{ds}{dt}(1)=\frac{208\dot 1-144}{\sqrt{144-288\dot 1 + 209\dot 1^2}}=8knots

c)

We know that the visibility was 5n.m. We want to see whether the distance s was under 5 miles at any point.

Ships have seen each other = s\leq 5\\\\\sqrt{144-288t+208t^2}\leq 5\\\\144-288t+208t^2\leq 25\\\\199-288t+208t^2\leq 0

Since function f(x)=199-288x+208x^2 is quadratic, concave up and has no real roots, we know that 199-288x+208x^2>0 for every t. So, the ships haven't seen each other.

d)

Attachedis the graph of s(red) and ds/dt(blue). We can see that our results from parts b and c were correct.

e)

Function ds/dt has a horizontal asympote in the first quadrant if

                                                \lim_{t \to \infty} \frac{ds}{dt}

So, lets check this limit:

\lim_{t \to \infty} \frac{ds}{dt}=\lim_{t \to \infty} \frac{208t-144}{\sqrt{144-288t+208t^2}}\\\\=\lim_{t \to \infty} \frac{208-\frac{144}{t}}{\sqrt{\frac{144}{t^2}-\frac{288}{t}+208}}\\\\=\frac{208-0}{\sqrt{0-0+208}}\\\\=\frac{208}{\sqrt{208}}\\\\=4\sqrt{13}

Notice that:

4\sqrt{13}=\sqrt{12^2+5^2}=√(speed of ship A² + speed of ship B²)

5 0
3 years ago
Other questions:
  • The radius of a circle is 14. Using π, which equation expresses the ratio of the circumference of the circle to the circle's dia
    11·2 answers
  • there are 20 children at a library 6 of the children have an average age of five years the remaining children have an average ag
    9·1 answer
  • Find the area and perimeter of this irregular figure?
    11·2 answers
  • Please help me with these
    7·1 answer
  • 50 POINTS AND BRAINLIEST!!! QUICK
    14·2 answers
  • Find the value of X in the picture
    7·2 answers
  • The sum of three consecutive odd integers is -381
    11·1 answer
  • A blueprint of a shopping complex shows the bottom edge of the roof to be 93 feet above the ground. If the roof
    6·1 answer
  • f 500 sessions that occurred on a website during a one-week period, 200 of them started on the homepage; 100 of these 200 sessio
    15·1 answer
  • What is the slope of the line <br><br> Brainliest to the correct answer
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!