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
hjlf
3 years ago
12

5

Mathematics
1 answer:
Dimas [21]3 years ago
7 0

Answer:

0.150 < (Proportion of Sandy's pie) < 0.167

15% < (Percentage of Sandy's pie) < 16.7%

Step-by-step explanation:

Total percentage of pie = 100% or 1

George, Sandy, Carlos, and Michelle all ate a piece of the pie.

George ate a fraction of 0.150

Michelle ate a fraction of (1/6) = 0.167

Carlos ate a fraction of (1/7) = 0.143

The amount of pie left = 1 - 0.15 - (1/6) - (1/7) = 0.5405

And Sandy is known to eat more than two of her friends, but less than one of them.

Of the amount of pie eaten by the first 3 friends, (1/6) is the highest proportion.

Hence, it is evident that Sandy ate more than 0.143 and 0.150 (Carlos and George) but less than Michelle (0.167).

So, mathematically, the possible proportion of cake that Sandy ate is

0.150 < (Proportion of Sandy's pie) < 0.167

Hope this Helps!!!

You might be interested in
Graph a system of equations to solve log (−5.6x + 1.3) = −1 − x. Round to the nearest tenth.
const2013 [10]

From the least to the greatest, the solutions are x ≈ -2.1 and x ≈ 0.2

the answers are -2.1 and 0.2.

<h3>What is a linear equation?</h3>

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

The question is incomplete.

The complete question is in the picture, please refer to the attached picture.

We have two systems of the equation:

y = log (−5.6x + 1.3)

y  = −1 − x

After plotting the above equation on the graph we will see two intersections point:

(-2.12, 1.12) and (0.221, -1.221)

So the least value is x = -2.12 ≈ -2.1

The greatest value is x = 0.221 ≈ 0.2

Thus, from the least to the greatest, the solutions are x ≈ -2.1 and x ≈ 0.2

the answers are -2.1 and 0.2.

Learn more about the linear equation here:

brainly.com/question/11897796

#SPJ1

8 0
2 years ago
Edward was trying to see how much water his pool had. should he measure the volume in milliliters or liters
Westkost [7]
He should measure in liters 
Hope it is correct
6 0
3 years ago
Help me please help me please
Olegator [25]
2=10
3 =15
7=35
1=5
Constant of 1 is 5
3 0
3 years ago
Read 2 more answers
Reginald answered at 78% of the questions on his social studies quiz correctly what fractional part of the question did he not a
Otrada [13]

If Reginald answered 78% correctly out of a total 100%, we can subtract 78 from 100:

100 - 78 = 22

He answered 22% of the question incorrectly. But how do we find the bottom number? Remember what we said earlier. The <u>total</u> is 100%. He got 22% out of 100% wrong. Wouldn't that be \frac{22}{100}?

Now that we know our fraction, we can reduce it. Let's start by dividing our fraction in half:

\frac{22}{100} = \frac{11}{50}

Can we reduce that any more? No, because 11 can not be divided by anything else.

If you want the first fraction, go with \frac{22}{100}, but if they want a reduced fraction, then \frac{11}{50} would be best.

8 0
3 years ago
Show that an implicit solution of 2x sin2(y) dx - (x2 + 11) cos(y) dy = 0 is given by ln(x2 + 11) + csc(y) = C.
Dvinal [7]

Answer:

From the question we are told that

  The  equation is  2x sin^2(y) dx - (x^2 + 11) cos(y) dy = 0

Generally the goal of this solution is to prove that the implicit solution of the differential  equation above is  ln(x^2 + 11) + csc(y) = C.

First Step  

    Differentiate the solution with respect to  x  

   0  = \frac{2x}{ x^2 + 11}  + [-cot * csc(y) ]\frac{dy}{dx}

=> 0 =  \frac{2x}{ x^2 + 11}  + [-\frac{cos(y)}{ sin(y) }* \frac{1}{sin(y)}  ]\frac{dy}{dx}  

=>  0  =  \frac{2x}{ x^2 + 11}  + [-\frac{cos(y)}{ sin^2(y) }]\frac{dy}{dx}

=>  

multiply through by  sin^2(y) , x^2 + 11, dx

So

=> 2 x (sin^2(y) dx  + [-cos(y) (x^2 + 11)]dy = 0

Looking at the equation obtained we see that it is equivalent to the differential  equation hence  the implicit solution of 2x sin^2(y) dx - (x^2 + 11) cos(y) dy = 0 is   ln(x^2 + 11) + csc(y) = C.

Step-by-step explanation:

     

3 0
3 years ago
Other questions:
  • If each pretzels weighed a half an ounce, how many pretzels would fit in a 16 ounce bag
    6·2 answers
  • THIS IS FOR 19 POINTS!!!
    13·1 answer
  • Kenji packed an exercise ball into a cylindrical package . How much space does the package occupy in terms of pi . Enter your an
    15·1 answer
  • Fill in each blank for the function f(x) = 3x - 6.
    10·1 answer
  • A train travels at a speed of 90 miles per hour. How far will it have
    15·2 answers
  • Truetone Music company sold 192,000 alternative music downloads. This represents 64% of their total sales. How
    15·1 answer
  • What is 39% of 200?<br> i already know it’s 78, i just need a explanation of how i got it.
    11·2 answers
  • A bag contains 10 marbles. Four of them are red, three blue, two white, and one yellow. A marble is drawn at random. What is the
    11·2 answers
  • Describe the steps required to determine the equation of a quadratic function given its zeros and a point.
    9·1 answer
  • Which expressions are equivalent to
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!