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
Rashid [163]
3 years ago
14

Malcom coasted 32 miles from moon ridge to me tone and then pedaled back hard. If the round trip took 4 hours, what was malcoms

average speed in miles per hour?
Mathematics
1 answer:
AURORKA [14]3 years ago
3 0

Answer:

Malcom's average speed was 16 miles/hour.

Step-by-step explanation:

Given:

Distance from moon ridge to me tone = 32 miles.

Now including returned back journey.

So we can say that.

Total distance traveled = 32+32 =64\ miles

Also Given:

Time taken to travel total distance = 4 hours.

We need to find the average speed in miles per hour.

Solution:

Now we know that;

average speed is equal to Total distance traveled divided by Total time taken to travel the total distance.

framing in equation form we get;

average speed = \frac{64}{4}=16 \ mi/hr

Hence Malcom's average speed was 16 miles/hour.

You might be interested in
The equations of two functions are y=-21x+9 and y=24x+8 which function is changing more quickly? Explain
antoniya [11.8K]

Given:

The equations are

y=-21x+9

y=24x+8

To find:

Which function is changing more quickly.

Solution:

The slope intercept form of a line is

y=mx+b

Where m is slope and b is y-intercept.

On comparing y=-21x+9 with the slope intercept form, we get

m_1=-21

|m_1|=|-21|

|m_1|=21

On comparing y=24x+8 with the slope intercept form, we get

m_2=24

|m_2|=24

Since, |m_1|, it means the absolute rate of change of second function is greater than the first function.

Therefore, the second function is changing more quickly.

3 0
3 years ago
Your friend deposits $8,000 in an investment account that earns 2% annual interest. Find the balance after 10 years when the int
Vlada [557]

Answer:

$9,769.60

Step-by-step explanation:

A = 8000[1 + (.02/12)]^12·10

5 0
2 years ago
What are the coordinates of point B on \overline{AC} such that AB = 1/2 BC
marta [7]

Answer:

C. B(x,y) = \left(3,-\frac{16}{3} \right)

Step-by-step explanation:

Let A(x,y) = (6,-7), B(x,y) = (x,y) and C(x,y) = (-3,-2). From statement we know that AB = \frac{1}{2}\cdot BC, which is equivalent to the following linear algebraic formula:

B(x,y) -A(x,y) = \frac{1}{2}\cdot [C(x,y)-B(x,y)] (1)

B(x,y)-A(x,y) = \frac{1}{2}\cdot C(x,y)-\frac{1}{2}\cdot B(x,y)

\frac{3}{2}\cdot B(x,y) = \frac{1}{2}\cdot C(x,y)+A(x,y)

B(x,y) = \frac{1}{3}\cdot C(x,y) +\frac{2}{3}\cdot A(x,y) (2)

Then, the coordinates of point B on AC are:

B(x,y) = \frac{1}{3}\cdot (-3,-2)+\frac{2}{3}\cdot (6,-7)

B(x,y) = \left(-1, -\frac{2}{3}\right)+\left(4, -\frac{14}{3} \right)

B(x,y) = \left(3,-\frac{16}{3} \right)

Which means that correct answer is C.

5 0
3 years ago
Please help been stuck on this for awhile
MakcuM [25]

Answer:

1. F (the row has 1164, the four-digit number with the least value)

2.

3. K (985 is the greatest 3-digit number)

4. J (67176 is the palindrome with the greatest number of digits)

5. K (3579 is the greatest number of odd numbers in counting order)

Step-by-step explanation:

I couldn't find an answer to number 2, sorry! You should probably go over it one more time and check that all these answers are correct. You might catch something I missed :)

Hope this helps!

8 0
3 years ago
Let the random variable X be the number of rooms in a randomly chosen owner-occupied housing unit in a certain city. The distrib
natali 33 [55]

Answer:

a) X is a discrete random variable.

b) 2% probability of choosing a unit with 10 rooms

c) 98% probability that a unit chosen at random is not a 10-room unit

d) 30% probability that a unit chosen at random has less than five rooms

e) 7% probability that a unit chosen at random has less than five rooms

Step-by-step explanation:

The distribution means that:

7% probability that a randomly chosen owner-occupied housing unit in a certain city has 3 rooms.

23% probability that a randomly chosen owner-occupied housing unit in a certain city has 4 rooms.

36% probability that a randomly chosen owner-occupied housing unit in a certain city has 5 rooms.

19% probability that a randomly chosen owner-occupied housing unit in a certain city has 6 rooms.

5% probability that a randomly chosen owner-occupied housing unit in a certain city has 7 rooms.

5% probability that a randomly chosen owner-occupied housing unit in a certain city has 8 rooms.

3% probability that a randomly chosen owner-occupied housing unit in a certain city has 9 rooms.

?% probability that a randomly chosen owner-occupied housing unit in a certain city has 10 rooms.

(a) Is X a discrete or continuous random variable?

X is the number of rooms in a randomly selected house. The number of rooms is a countable variable, that is, only assumes values like 1,2,3,4,... You cannot have 3.5 rooms, for example.

So X is a discrete random variable.

(b) What must be the probability of choosing a unit with 10 rooms?

The sum of all probabilities must be 100%(1 decimal). So

0.07 + 0.23 + 0.36 + 0.19 + 0.05 + 0.05 + 0.03 + ? = 1

0.98 + ? = 1

? = 0.02

2% probability of choosing a unit with 10 rooms

(c) What is the probability that a unit chosen at random is not a 10-room unit?

0.07 + 0.23 + 0.36 + 0.19 + 0.05 + 0.05 + 0.03 = 0.98

98% probability that a unit chosen at random is not a 10-room unit

(d) What is the probability that a unit chosen at random has less than five rooms?

7% probability it has 3 rooms

23% probability it has 4 rooms. So

7+23 = 30% probability that a unit chosen at random has less than five rooms

(e) What is the probability that a unit chosen at random has three rooms?

7% probability that a randomly chosen owner-occupied housing unit in a certain city has 3 rooms. So

7% probability that a unit chosen at random has less than five rooms

8 0
3 years ago
Other questions:
  • Which of the following is a polynomial with roots 2, 3i, and −3i? f(x) = x3 − 2x2 + 6x − 9 f(x) = x3 − 6x2 + 9x − 18 f(x) = x3 −
    8·2 answers
  • If you bought m yogurt cups at $2 each and paid with $50 what is your change
    14·2 answers
  • Gary lost 17 pounds while on a diet, but gained 8 pounds back. Which number is the additive inverse of the change in Gary's weig
    12·2 answers
  • (b) About how many times larger was the population of the United States than the population of Columbus, Ohio? Show your work! N
    5·1 answer
  • Question
    14·1 answer
  • Find the value of x in the equation 2(x – 3) 5x = 5(2x 6).
    12·1 answer
  • I need hw help can someone help me
    14·2 answers
  • Help me with this 30 points
    14·2 answers
  • 4(3+2x) + 2 = 46 , solve for x I need help I'm a bit confused
    7·2 answers
  • NO LINKS!!! Kim invested $5000 in Mutual fund at 6% compounded quarterly. Write an equation to represent this situation. When wi
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!