answer.
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
pishuonlain [190]
1 year ago
15

Harvey the wonder hamster can run 3 1/6 km in 1/4 hour. Harvey runs at a constant rate. Find his average speed in kilometers per

hour.
Mathematics
2 answers:
ASHA 777 [7]1 year ago
7 0

Answer:

12\frac{2}{3}

Step-by-step explanation:

there are 4 quarters to 1 hour

3 1/6 x 4 =  

19/6 * 4 = 76/6 = 12 4/6, reduces to 12 2/3 km per hour

zhenek [66]1 year ago
7 0

Answer:

12 2/3  km  per hour

Step-by-step explanation:

What is Harveys speed?

Take the distance and divide by the time

3 1/6 km

--------------

1/4 hour

Change the mixed number to an improper fraction

3 1/6 = (6*3+1)/6 = 19/6

19/6 km

--------------

1/4 hour

Copy dot flip

19/6 * 4/1 = 76/6 = 38/3  km/hr

3 goes into 38 12 times  (12*3 = 36)  with 2 left over

12 2/3  km  per hour

You might be interested in
On a coordinate grid, both point (−4, −1) and (2, 6) point are reflected across the y-axis. What are the coordinates of the refl
Alex777 [14]

Answer:

Option D. (4, −1) and (−2, 6)

Step-by-step explanation:

we know that

The rule of the reflection of a point across the y-axis is equal to

(x,y) -----> (-x,y)

so

Applying the rule of the reflection

(−4, −1) -----> (4, −1)

(2, 6)----- (-2, 6)

8 0
1 year ago
Read 2 more answers
The total length of two ribbons is 13 meters. If one ribbion is 7 5/8 meters long what is the length of the other ribbon
Liono4ka [1.6K]
Perhaps the easiest way to solve this problem is to convert 13 into a fraction that has the same denominator as 7 5/8.
Convert both to improper fractions:
7 5/8 turns into 61/8, and
13 turns into 104/8.

Then, subtract 61/8 from 104/8:
104/8-61/8=43/8.
Simplify (mixed fraction):
5 3/8.

The second ribbon has a length of 5 3/8 meters.

5 0
1 year ago
Read 2 more answers
An investment earns 6% simple interest. What amount of principal is needed to have $3000 after 5 years? Round your answer to the
amid [387]
I = p*r*t
$3000=p*.06*5=?
Multiply and you would have yor answer(rounded to nearsest cent)!
6 0
1 year ago
Read 2 more answers
Meeting at least one person with the flu in thirteen random encounters on campus when the infection rate is 2% (2 in 100 people
s344n2d4d5 [400]

Answer:

23.1% probability of meeting at least one person with the flu

Step-by-step explanation:

For each encounter, there are only two possible outcomes. Either the person has the flu, or the person does not. The probability of a person having the flu is independent of any other person. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

Infection rate of 2%

This means that p = 0.02

Thirteen random encounters

This means that n = 13

Probability of meeting at least one person with the flu

Either you meet none, or you meet at least one. The sum of the probabilities of these outcomes is 1. So

P(X = 0) + P(X \geq 1) = 1

We want P(X \geq 1). Then

P(X \geq 1) = 1 - P(X = 0)

In which

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 0) = C_{13,0}.(0.02)^{0}.(0.98)^{13} = 0.7690

P(X \geq 1) = 1 - P(X = 0) = 1 - 0.769 = 0.231

23.1% probability of meeting at least one person with the flu

6 0
1 year ago
Tony’s class needs more than $500 for the school dance. So far, they have raised $200. They plan to have a car wash, charging $8
Kitty [74]

Answer:

No, Tony is not correct. Solving the inequality tells us that x is greater than or equal to 37.5. Since the class must wash a whole number of cars, they need to wash at least 38 cars.

this will help

8 0
1 year ago
Read 2 more answers
Other questions:
  • How many pairs of whole numbers that have a sum of 12
    8·1 answer
  • you are planning to purchase displays for your store which has 2400 sq ft of selling space. Each display has a footprint of 10 f
    7·1 answer
  • "The Highest Common Factor (HCF) of my two numbers is 3 The Lowest Common Multiple (LCM) of my two numbers is 45" (b) Write down
    11·1 answer
  • A rectangular box is to have a square base and a volume of 40 ft3. If the material for the base costs $0.36/ft2, the material fo
    15·1 answer
  • 1. Three friends pooled their money to purchase a new game system that costs $298. One person
    13·1 answer
  • Angle ABD measures (4x + 10)o. Angle ACD measures (5x − 2)o.
    10·2 answers
  • Alicia's family wants to save for a four-year college education for her.
    11·2 answers
  • A man is in a boat that is floating 175 feet from the base of a 200 foot cliff. What is the angle of depression between the clif
    7·1 answer
  • The 10th term in the sequence is 2560 what is the 11th term in the sequence
    12·1 answer
  • James defines a circle as "the set of all the points equidistant from a given point." His statement is not precise enough becaus
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!