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
almond37 [142]
3 years ago
7

6

Mathematics
1 answer:
denis23 [38]3 years ago
4 0

Answer:

B = 325

Step-by-step explanation:

Given

Total = 900

Singing = 600

Dancing = 500

None = 125

Required

Determine the number of students that participate in both

Representing; Singing with S, Dancing with D, Both singing and dancing with B and None with N;

In Set Notation;

Total = (S - B) + (D - B) + N + B

Substitute 900 for Total, 600 for S, 500 for D and 125 for N

900 = (600 - B) + (500 - B) + 125

Open Brackets

900 = 600 - B + 500 - B + 125 + B

Collect Like Terms

900 = 600  + 500  + 125 - B - B + B

900 = 1225- B - B + B

900 = 1225- B

Collect Like Terms

900 - 1225 = -B

-325 = -B

Multiply both sides by -1

-1 * -325 = -B * -1

325 = B

Reorder

B = 325

<em>Hence, the number of students that do not participate in both is 325</em>

You might be interested in
Please help with this math problem
dlinn [17]
I think it’s a I’m not really sure but I think
7 0
3 years ago
HELP! According to the Fundamental Theorem of Algebra, which polynomial function has exactly 11 roots?
antiseptic1488 [7]
The one where x is raised to the 11 power.
3 0
3 years ago
Read 2 more answers
The word "less than" represent what operation?
bixtya [17]

Answer:

  • The term 'less than' is used to indicate the relationship between two values.
  • The term 'less than' symbolically represented as '<'.

Step-by-step explanation:

  • The term 'less than' is used to indicate the relationship between two values.

It expresses that one value will be lesser than the other.

The term 'less than' symbolically represented as '<'.

We can implement certain operations like comparing values, heights, and numbers.

For example, there are 3 pencils in one bag A, and 8 pencils in bag B.

When we compare the two, we can easily observe that bag A has fewer pencils than bag B.

Thus,

Pencils in Bag A       <         Pencils in Bag A

           3                     <                    8

4 0
3 years ago
A paint mixture was formed by mixing exactly 3 colors of paint. By volume, the mixture was x% blue paint, y% green paint, and z%
sergeinik [125]

Answer:

Both statements are sufficient to answer the question

Step-by-step explanation:

Given:

- The paint mixture has following proportions:

 Total volume of paint = T

 Blue:  x*T / 100

 Green: y*T/100

 Red: z*T/100

Find:

Statement 1: x = y

Statement: z = 60

Which of the above statement is sufficient to calculate the amount of green paint used

Solution:

Statement 1:

- The amount of blue paint used is:

                    1 gallon = x*T / 100

- x = y,

                    1 gallon = y*T / 100

Hence,

                    Amount of green paint used is 1 gallon

- The statement is sufficient

Statement 2:

- The amount of red paint used is:

                    3 gallon = z*T / 100

                    T = 300 / z = 300 / 60 = 5 gallons

                    T = R + B + G

                    G = T - R - B

                    G = 5 - 3 - 1

                    G = 1 gallons

Hence,

                    Amount of green paint used is 1 gallon

- The statement is sufficient

5 0
3 years ago
Help with num 9 please. thanks​
Alik [6]

Answer:

See Below.

Step-by-step explanation:

We want to show that the function:

f(x) = e^x - e^{-x}

Increases for all values of <em>x</em>.

A function is increasing whenever its derivative is positive.

So, find the derivative of our function:

\displaystyle f'(x) = \frac{d}{dx}\left[e^x - e^{-x}\right]

Differentiate:

\displaystyle f'(x) = e^x - (-e^{-x})

Simplify:

f'(x) = e^x+e^{-x}

Since eˣ is always greater than zero and e⁻ˣ is also always greater than zero, f'(x) is always positive. Hence, the original function increases for all values of <em>x.</em>

8 0
3 years ago
Other questions:
  • What is the equation in slope intercept form of s like that passes through the points (3,2) and (-5,-8)
    15·2 answers
  • If the circumference of a circle is 44 n feet, what is the radius?
    10·1 answer
  • What is the area of an Octagon with a side length of 11.6.
    15·1 answer
  • What are the similarities and differences between the Distance and Midpoint Formulas?
    6·1 answer
  • Cory made 4500 g of candy. He saved 1 kg to eat later. He divided the rest of the candy over 7 bowls to serve at his party.
    8·2 answers
  • The spread of data set X is greater than the spread of data set Y, and the data sets are normally distributed. Which statement i
    5·2 answers
  • Stretch Your Thinking Ann arranges her marbles in groups, with 8 marbles in each group. She writes the fraction 5/8 to show the
    12·1 answer
  • Please help me I'm having a hard time.​
    8·1 answer
  • It took Erika 8 games to score 30 points. At that rate, how many games will it take her to score 45 points?
    15·1 answer
  • Someone tell me the answer
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!