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
jenyasd209 [6]
2 years ago
9

A Mallard duck flies 5 6 of a mile in 1 60 of a hour. Compute the unit rate by setting up a complex fraction and simplifying.

Mathematics
2 answers:
seropon [69]2 years ago
8 0
Important:  Please express fractions properly:  use the " / " symbol to represent division.  Your question should read:

"<span>A Mallard duck flies 5/6 of a mile in 1/60 of a hour.  Find the rate (speed) at which it flies."

To do this, divide the distance flown by the elapsed time:
                                    5
5/6   mile                  -----
-----------------   =  -------6------------- miles / hr
1/60   hour </span>
                                        1
                                       -----
                                         60

to divide 5/6 by 1/60,  write    5/6 and multiply that by the reciprocal of 1/60. 

In other words,   write    5/6, invert (1/60) and then multiply.

This comes out to                    (5)(60)
                                                ----------  mph
                                                  (6)(1)

Do not multiply here.  Instead, reduce 60/6 to 10/1.

Can you now write out the final answer, in mph?  (miles per hour)

Andreyy892 years ago
3 0

Answer:

50 mph

Step-by-step explanation:

You might be interested in
The most popular mathematician in the world is throwing aparty for all of his friends. As a way to kick things off, they decidet
ratelena [41]

Answer:

The no. of possible handshakes takes place are 45.

Step-by-step explanation:

Given : There are 10 people in the party .

To Find: Assuming all 10 people at the party each shake hands with every other person (but not themselves, obviously) exactly once, how many handshakes take place?

Solution:

We are given that there are 10 people in the party

No. of people involved in one handshake = 2

To find the no. of possible handshakes between 10 people we will use combination over here

Formula : ^nC_r=\frac{n!}{r!(n-r)!}

n = 10

r= 2

Substitute the values in the formula

^{10}C_{2}=\frac{10!}{2!(10-2)!}

^{10}C_{2}=\frac{10!}{2!(8)!}

^{10}C_{2}=\frac{10 \times 9 \times 8!}{2!(8)!}

^{10}C_{2}=\frac{10 \times 9 }{2 \times 1}

^{10}C_{2}=45

No. of possible handshakes are 45

Hence The no. of possible handshakes takes place are 45.

4 0
1 year ago
Alex has 3 baseballs. He brings 2 baseballs to school. What fraction of his baseballs does Alex bring to school?
ivann1987 [24]
2/3 2/3 shows 2 out of 3, in this case meaning 2 out of 3 baseballs
7 0
1 year ago
Read 2 more answers
1600 dollars is placed in an account with an annual interest rate of 5.25%. How much will be in the account after 25 years, to t
Andru [333]

Step-by-step explanation:

Exponential Functions:

y=ab^x

y=ab

x

a=\text{starting value = }1600

a=starting value = 1600

r=\text{rate = }5.25\% = 0.0525

r=rate = 5.25%=0.0525

\text{Exponential Growth:}

Exponential Growth:

b=1+r=1+0.0525=1.0525

b=1+r=1+0.0525=1.0525

\text{Write Exponential Function:}

Write Exponential Function:

y=1600(1.0525)^x

y=1600(1.0525)

x

Put it all together

\text{Plug in time for x:}

Plug in time for x:

y=1600(1.0525)^{25}

y=1600(1.0525)

25

y= 5750.0628984

y=5750.0628984

Evaluate

y\approx 5750.06

y≈5750.06

3 0
1 year ago
In triangle PQR, PS, QT,and RU are the medians , and PS and QT intersect at the point (4,5)
jekas [21]
We are given with a triangle and three medians. The intersection of the two medians is also given which is (4,5). What is asked is the intersection between another pair of medians. Since the medians of a triangle intersect at the centroid of a triangle, the intersection is also
<span>B. (4, 5)</span>
7 0
2 years ago
Read 2 more answers
Yvette exercises 14 days out of 30 in one month. What is the ratio of the number of days she exercises to the number of days in
Anestetic [448]

Answer:

7 to 15, 7:15, 7/15

Step-by-step explanation:

Ratios can be written as:

a to b

a:b

a/b

We want to find the ratio of exercise days to days in the month. She exercises 14 days out of 30 days in the month. Therefore,

a= 14

b= 30

14 to 30

14:30

14/30

The ratios can be simplified. Both numbers can be evenly divided by 2.

(14/2) to (30/2)

7 to 15

(14/2) : (30/2)

7:15

(14/2) / (30/2)

7/15

3 0
1 year ago
Read 2 more answers
Other questions:
  • The area of the surface of the swimming pool is 210 square feet. what is the lenght d of the deep end (in feet)?
    5·1 answer
  • Which equation is equivalent to –k + 0.03 + 1.01k = –2.45 – 1.81k?
    6·1 answer
  • One option in a roulette game is to bet $2 on red. ​ (There are 18 red​ compartments, 18 black​ compartments, and two compartmen
    9·1 answer
  • What is the solution to this system of equations? x + 2 y = 4. 2 x minus 2 y = 5.
    12·2 answers
  • Chelsea is graphing the function f(x) = 20(One-fourth)x. She begins by plotting the initial value. Which graph represents her fi
    14·2 answers
  • What are the domain and range of f (x) = (one-fifth) Superscript x?
    11·2 answers
  • The graph shows the increase in temperature over time in an oven. What is the change in the y-values and x-values on the graph?
    9·1 answer
  • According to a 2011 report by the United States Department of Labor, civilian Americans spend 2.75 hours per day watching televi
    9·1 answer
  • In Gallup's Annual Consumption Habits Poll, telephone interviews were conducted for a random sample of 1,014 adults aged 18 and
    9·1 answer
  • The annual energy consumption of the town where Camilla lives increases at a rate that is proportional at any time to the energy
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!