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
DochEvi [55]
3 years ago
13

a quiche with a diameter of 12 inches can feed 6 people. can a quiche with a diameter of 10 inches feed 4 people, assuming the s

ame serving size explain your thinking
Mathematics
1 answer:
Andrew [12]3 years ago
7 0
This is an area problem where the area of a circle is pi*r^2.

A quiche with a diameter of 12 has an area of pi*6^2 = 36pi

So if it can feed 6 people, then the serving size per person is 6pi per person.

A quiche with a diameter of 10 inches has an area of pi*5^2 = 25pi

If each person requires 6pi worth of quiche, then 25pi/6pi = 4 1/6 people.

So yes, it can serve 4 people.
You might be interested in
Which of the following ratlos is not equivalent to 6:10?
Len [333]

Answer:

24/45 or 9/15

Step-by-step explanation:

none of these is equivalent to 6:10

7 0
3 years ago
Can u help me with number 7 I
Dmitrij [34]

Answer:

Scalene Triangle

Step-by-step explanation:

Defn
When all the three sides of the triangle are of different measures, it is a scalene triangle.

7 0
2 years ago
Read 2 more answers
Divided the following rational expressions<br> t^3-t^2-2t/t-5 divided by t^2-t-2
butalik [34]

t³-t²-2t/t -5 )/(t²-t-2)

(t^4-t^3-7t)/t^3-t^2-2t)

(t³-t²-7)/(t²-t-2)


I hope that's help !

7 0
3 years ago
(SHOW UR WORK I DONT FEEL LIKE DOING THIS XDD BUT THANKSS) 98.73 ÷ 15 =
Juliette [100K]

Answer:

Answer 6.582

Step-by-step explanation:

   0 6. 5 8 2

1 5 9 8. 7 3 0

 − 0        

   9 8      

 − 9 0      

     8 7    

   − 7 5    

     1 2 3  

   − 1 2 0  

         3 0

       − 3 0

           0

Hope its understandable ._.

5 0
2 years ago
Pumping stations deliver oil at the rate modeled by the function D, given by d of t equals the quotient of 5 times t and the qua
goblinko [34]
<h2>Hello!</h2>

The answer is:  There is a total of 5.797 gallons pumped during the given period.

<h2>Why?</h2>

To solve this equation, we need to integrate the function at the given period (from t=0 to t=4)

The given function is:

D(t)=\frac{5t}{1+3t}

So, the integral will be:

\int\limits^4_0 {\frac{5t}{1+3t}} \ dx

So, integrating we have:

\int\limits^4_0 {\frac{5t}{1+3t}} \ dt=5\int\limits^4_0 {\frac{t}{1+3t}} \ dx

Performing a change of variable, we have:

1+t=u\\du=1+3t=3dt\\x=\frac{u-1}{3}

Then, substituting, we have:

\frac{5}{3}*\frac{1}{3}\int\limits^4_0 {\frac{u-1}{u}} \ du=\frac{5}{9} \int\limits^4_0 {\frac{u-1}{u}} \ du\\\\\frac{5}{9} \int\limits^4_0 {\frac{u-1}{u}} \ du=\frac{5}{9} \int\limits^4_0 {\frac{u}{u} -\frac{1}{u } \ du

\frac{5}{9} \int\limits^4_0 {(\frac{u}{u} -\frac{1}{u } )\ du=\frac{5}{9} \int\limits^4_0 {(1 -\frac{1}{u } )

\frac{5}{9} \int\limits^4_0 {(1 -\frac{1}{u })\ du=\frac{5}{9} \int\limits^4_0 {(1 )\ du- \frac{5}{9} \int\limits^4_0 {(\frac{1}{u })\ du

\frac{5}{9} \int\limits^4_0 {(1 )\ du- \frac{5}{9} \int\limits^4_0 {(\frac{1}{u })\ du=\frac{5}{9} (u-lnu)/[0,4]

Reverting the change of variable, we have:

\frac{5}{9} (u-lnu)/[0,4]=\frac{5}{9}((1+3t)-ln(1+3t))/[0,4]

Then, evaluating we have:

\frac{5}{9}((1+3t)-ln(1+3t))[0,4]=(\frac{5}{9}((1+3(4)-ln(1+3(4)))-(\frac{5}{9}((1+3(0)-ln(1+3(0)))=\frac{5}{9}(10.435)-\frac{5}{9}(1)=5.797

So, there is a total of 5.797 gallons pumped during the given period.

Have a nice day!

4 0
3 years ago
Other questions:
  • Find the value of the following expression:
    6·2 answers
  • Perform the indicated operation. √75 + √12
    5·1 answer
  • Tell whether the ratios are proportions: 11/12, 33/36
    7·1 answer
  • Can you please help me I don't understand
    15·1 answer
  • Find the MAD of the data below:<br><br>52. 47. 65<br>43. 51<br>​
    13·2 answers
  • Express 14100000 in scientific notaion
    14·2 answers
  • 3x - 9 = 12 <br> Solve for X
    8·2 answers
  • PLEASE HELP ME WITH THIS QUESTION!!
    5·1 answer
  • Please explain the answer, no links or random words or I will report you.
    14·1 answer
  • In the diagram below, ST is parallel to PQ. If ST is 4 more than PS,SR = 12, and PQ = 15, find the length of PS. Figures are not
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!