32 students play basketball and 25 Students play
volleyball . It is found that 13 students play both
games. Find the number of students playing at least
one game
dotos numbers Sets
n
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Answers

Answer 1
No. of students playing at least one game = 44
Step-by-step explanation:
B = basketball; V = volleyball
n(B) = no of students playing only B
n(V) = no. of students playing only V
n(B∩V) = no. of students playing both B and V
Now:
32 students play basketball. Some of them could also be playing volleyball. Hence, the number of students playing only basketball will be 32 minus those that play both.
n(B) = 32 - 13 ............(Given that 13 play both games)
n(B) = 19
Similarly,
25 students play volleyball. Some of them could also be playing basketball. Hence, the number of students playing only volleyball will be 25 minus those that play both.
n(V) = 25 - 13
n(V) = 12
Thus, we have 19 students playing only B, 12 students playing only V and 13 students playing BOTH.
Clearly, the number of students that play at least one game is:
No. of students playing ONLY basketball +
No. of students playing ONLY volleyball +
No. of students playing BOTH
This can be given as:
n(B) + n(V) + n(B∩V)
= 19 + 12 + 13
= 44
Answer 2

Answer:

44 students

Step-by-step explanation:

Given parameters:

Number of students playing basketball = 32

Number of students playing volleyball = 25

Number of students playing both = 13

Unknown:

Number of students playing at least one game = ?

Solution:

Let us first find the number of students that play basketball only and volleyball only.

Number of students playing basketball only = 32  - 13  = 19

Number of students playing volleyball only = 25 - 13  = 12

So,

Least number of students that play at least one game  = number of students that plays basketball only + number of students that plays volleyball only + number of students that plays both;

     = 19 + 12 + 13  

      = 44 students


Related Questions

A person can pay $14 for a membership to the science museum and then go to the museum for just $1 per visit. What is the maximum number of visits a member of the science museum can make for a total cost of $46?

Answers

Answer:

32

Step-by-step explanation:

First, subtract the membership free from the total cost:

46 - 14

= 32

To find how many visits they can make, divide this by 1:

32/1

= 32

So, the maximum number of visits a member can make is 32.

Answer:

32

Step-by-step explanation:

HELP PLEASE WILL MARK BRAINLIEST

Answers

Answer:

15

Step-by-step explanation:

15 is your answer Hope this helped

PLEASE HELP!!
WILL GIVE BRAINLIEST TO CORRECT ANSWER (STEPS INCLUDED..)

The right arrow symbol used to show the transition from a point to its image after a transformation is not contained within the Equation Editor. If such a symbol is needed, type "RightArrow." For example: P(0, 0) RightArrow P′(1, 2).

Triangle ABC has coordinates A(1, 4); B(3, -2); and C(4, 2). Find the coordinates of the image A'B'C' after a reflection over the x axis.

Answers

When translated over the x axis, the x values remain the same and the y values become the opposite sign ( a negative becomes a positive and a positive becomes a negative)

A( 1,4) becomes A’(1,-4)

B(3,-2) becomes B’(3,2)

C(4,2) becomes C’(4,-2)

-6K – 3 = 39. Please solve this equation for K. Type your work in.

Answers

Answer:

k = -7

Step-by-step explanation:

-6k-3 = 39

Add 3 to each side

-6k-3+3 = 39+3

-6k = 42

Divide each side by -6

-6k/-6 = 42/-6

k = -7

Which inequality is true?

Answers

Answer:

8 pi > 24  true

Step-by-step explanation:

12/pi >4

12 > 4pi

pi is slight greater than 3

12 > 4* a number greater than 3

12 >  a number greater than 12  false

pi + 3 < 6

a number slightly greater than 3 + 3 < 6

a number lightly greater than 6 < 6   false

8 pi > 24

8 * a number slightly greater than 3 > 24

a number greater than 24 > 24   true

6 - pi > 3

6 - a number slightly greater than 3 > 3

a number less than 3 > 3  false

There are four blue marbles and 6 red marbles. What is the ratio of blue marbles to red marbles. Write the ratio in simplest form

Answers

Answer:

2:3

Step-by-step explanation:

2 is the greatest common factor, so divide both 4 and 6 by 2, which should result as 2:3.

hope this helps :)

Enter the correct value so that each expression is a perfect-square trinomial.
x^2 + __ x + 36

Answers

Answer:

12.

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

i did it and got it right on ed.

Area =
44 ft?
(x - 12) ft
(x - 5) ft
length:
width:
ft

Answers

Answer:

x= 16 ft

length = 4 ft

width = 11 ft

Step-by-step explanation:

The area is length* width

so the length is ( x - 12 )

and the width is ( x - 5 )

the area is 44ft

so now set up an equation and solve for x

( x - 12 ) ( x - 5 ) = 44

distribute

x^(2) - 17x + 60 = 44

 

inverse operations

x^(2) - 17x + 60 = 44

                - 60     - 60

x^(2) - 17x = -16

factor

x^(2) - 17x = -16

x ( x - 17 ) = -16

now it is pretty clear that the answer is:

x = 16

just substitute it into the equation and check

( x - 12 ) ( x - 5 ) = 44

( 16 - 12 ) ( 16 - 5 ) = 44

( 4 ) ( 11 ) = 44

44 = 44

this also shows that

the length is 4

because:

( x - 12 )

= ( 16 - 12 )

= 4

and the width is 11

because:

( x - 5 )

= ( 16 - 5 )

= 11

Draw the triangle ABC on a coordinate plane given the following points A (0,0) B (4,-10) C (10,-4)
draw a picture of ur triangle

Answers

Answer:

plot those points on a graph and then label the points with the correct letter and then connect the dots and you should have a triangle on your graph.

Step-by-step explanation:

Step-by-step explanation:

First plot the points on a graph and then connect those points forming a triangle

Me puede de resolver tengo q presentar eso mañana

Answers

Answer:

180/3=60

60/3=20

20/3=6.667(redondeado)

6.667/3= 2.222(redondeado)

2.222/3=0.741(redondeado)

0.741/3=0.247

Sherry is paid an annual salary of $26,000 biweekly. Her friend Donna makes the same salary but is paid quarterly. How much more money does one of Donna's checks have than Sherry's.

Answers

Answer:

5000

Step-by-step explanation:

Assuming they both work 365days

roughly 52 weeks

number of time sherry is paid per year = [tex]\frac{52}{2} = 26[/tex]

because she is paid every two weeks

number of time donna is paid per year = [tex]4[/tex]

because she is paid 4 times a year (quarterly)

let s =  amount sherry is paid biweekly

let d = amount donna is paid quarterly

[tex]s = \frac{26000}{26} = 1000\\\\d = \frac{26000}{4} = 6500\\\\difference = 65000 - 1000 = 5000\\[/tex]

Answer:

5500

Step-by-step explanation:

6 apples cost exactly the same as 9 oranges. 10 apples and 10 oranges cost $7.50. Find the cost of 1 apple and the cost of 1 orange.

Answers

Answer:6 apples cost exactly the same as 9 oranges. 10 apples and 10 oranges cost $7.50. Find the cost of 1 apple and the cost of 1 orange.

Step-by-step explanation:

Evaluate 64 to the power of 1/2 x 10 to the power of -2

Answers

the answer should be 2/25 or 0.08

How would you graph y = -4/9x + 6

Answers

9514 1404 393

Answer:

graph the y-interceptfind another point (down 4, right 9)draw the line through the 2 points

Step-by-step explanation:

When the equation of a line is given in slope-intercept form, as this one is, it is usually convenient to make use of those values (intercept and slope).

Here, the y-intercept is 6. The slope is -4/9, which means the line goes down 4 units for each 9 units to the right.

The y-intercept is graphed at (0, 6). An additional point can be graphed at (9, 2). Then the line can be drawn through these points.

3
Assignment
♡ Find the product of 419 and 321
Find the product of 326 and 124
③ If a mais pay #354 for a book how mac
alle le gay for 7s boots?
④ The price of a big fan is 8494. How
much will 198 big fans cost?
③ Find the product of 3102 and 480
Dictionary Meaning
② Anounced​

Answers

Step-by-step explanation:

1. 419*321=134499

2. 326*124 = 40424

3. 354* 7 = 2478

here mac paid 2478

4. 8494*198= 1681812

here it will cost 1681812

5. 3102*480=1488960

6. announced = to reveal something

A falcon flew 70 miles in 3 hours. What was the speed of the falcon?

speed = distance over time

1 mile = 1609 meters.

Answers

Answer:

10.4 meters per second

Help ASAP
Find the difference
(2x + 6) - (7x + 3).

Answers

(2x + 6) - (7x+3)

= 2x + 6 - 7x - 3

=2x - 7x + 6 - 3

= -5x + 3

Answer:

The answer is (-5x + 3).

Step-by-step explanation:

The Distance between the school and the park 6km there 1.6km in 1 mile how many miles are between the school and the park

Answers

Answer : 3.75 miles

Answer:

3.75

Step-by-step explanation:

6 km     =     1.6 km

1 km      =      x

6 / by 1.6 = 3.75

HOPE ITS HELPFUL!

Write an equation of the line passing through the point (8, -5) that is parallel to the line 2x -6y = -3

Answers

Answer:

y=1/3x+10.5

Step-by-step explanation:

y=mx+b, the equation of the parallel line is  y=1/3x+1/2. So we know the slope is 1/3 and all we need is the Y intercept (b). We can find that manually with arithmetic because we know the slope. It turns out to be 10.5

What is the slope of the line?
*************

Answers

Answer:1.5

Step-by-step explanation:

Answer: 4/5

Step-by-step explanation:

Slope=rise/run

In this case we start at (-2,0)

We rise up 4 and run to the right 5 until we are at (3,4)

Identify the coefficients: -3h - 2h + 6h +9

Answers

Answer:

-23h

Step-by-step explanation:

It’s -3, 2, 6 is the answer

HELP ME PLEASE
In the diagram below, which distance represents the distance from point to
KE?

A JL
В. КМ
C. JM
D. JK

Answers

C. JM because that line is the height of the triangle

1. Michael deposited $500 in his bank account that pays 4% semi-annual compounded interest. If he does not touch the money for 5 years, how much money will be in the account?​

Answers

Answer:

$609.50

Step-by-step explanation:

A = P(1 + r/n)^nt

   = 500(1 + [tex]\frac{.04}{2}[/tex])^2(5)

   = 500(1.02)¹⁰

    = 500(1.218994)

    = 609.497

Round answer up to $609.50

can you guys help me??

Answers

Answer:

37 used beeds

Step-by-step explanation:

May i get brainiest

HELP ASAP!!WILL GIVE GOOD RATINGS

Answers

Adding a line through the middle will leave you with a triangle on top and a rectangle on the bottom. Hope this helps!

Select the THREE solutions that are equivalent to the expression 4(n + 1):

a. 4n + 1

b. n + n + n +n +1 +1 +1 +1

c. 2n + 2n + 4

d. 2n + n + n +1

e. 4n + 4

f. 4 (n + 4)

Answers

Answer:

The answer would be b, c, e

Answer:

b,c,e

Step-by-step explanation:

4(n+1)

4n+4

n+n+n+n=4n

1+1+1+1=4

4n+4

2n+2n=4n

4n+4

4n+4

the decimal equivalent 3/5 is a repeating decimal true or false?

Answers

Answer: false

Step-by-step explanation:

3/5 in a decimal is 0.6. overall 0.6 is not an repeating decimal.

True, the decimal equivalent of 3/5 is a repeating decimal.

We have,

The concept used to determine whether the decimal equivalent of 3/5 is a repeating decimal is the division of the numerator (3) by the denominator (5) to obtain the decimal representation.

When we divide 3 by 5, we get a decimal value of 0.6. However, since the division does not terminate or end, and the digit 6 repeats indefinitely, we conclude that it is a repeating decimal.

This concept involves understanding the nature of the decimal representation and recognizing repeating patterns.

Thus,

True, the decimal equivalent of 3/5 is a repeating decimal.

Learn more about expressions here:

https://brainly.com/question/3118662

#SPJ6

Help Please! :(

108 students went on a field trip. Three buses were filled and 27 students traveled in cars. How many students were in each bus?
Please include algebraic equation and answer.

Answers

Answer:

81

Step-by-step explanation:

Use the product rule to answer each of the questions below. Throughout, be sure to carefully label any derivative you find by name. It is not necessary to algebraically simplify any of the derivatives you compute.

a. Let m (w) = 3 w^17 4^w. Find m ′(w) .
b. Let h (t) = ( sin (t) + cos (t)) t 4. Find h ′(t).
c. Determine the slope of the tangent line to the curve y = f (x) at the point where a = 1 if f is given by the rule f(x) = e^x sin (x).
d. Find the tangent line approximation L(x) to the function y = g (x) at the point where a = − 1 if g is given by the rule g (x) = ( x^2 + x ) 2^x .

Answers

Answer:

A)  M'(w) = w^16 * 4^w [ 51 + 3w In4 ]

B) h'(t) = [ cos (t) - sin (t) ] t^4  + [ sin(t) + cos (t) ] 4t^3

C)  f'(1) = e' [sin(1) + cos(1) ]

D) g'(a) = 0 - 1/2

L(x) = - 1/2 ( x + 1 )

Step-by-step explanation:

Attached below is the detailed solution of the problem

A) m(w) = 3w^17 * 4^w

M'(w) = w^16 * 4^w [ 51 + 3w In4 ]

B) h(t) = [sin(t) + cos(t) ] t^4

h'(t) = [ cos (t) - sin (t) ] t^4  + [ sin(t) + cos (t) ] 4t^3

C)  f(x) = e^x sin (x).  at a = -1

f'(1) = e' [sin(1) + cos(1) ]

D) g (x) = ( x^2 + x ) 2^x .

g'(a) = 0 - 1/2

L(x) = - 1/2 ( x + 1 )

About Each statement below involves odd and even integers. An odd integer is an integer that can be expressed as 2k+1 , where k is an integer. An even integer is an integer that can be expressed as 2k , where k is an integer. Prove each of the following statements using a direct proof.

a. The sum of an odd and an even integer is odd.
b. The sum of two odd integers is an even integer.
c. The square of an odd integer is an odd integer.
d. The product of two odd integers is an odd integer.

Answers

Answer:

a. The sum of an odd and an even integer is odd: 3 + 2 = 5

b. The sum of two odd integers is an even integer: 3 + 5 = 8

c. The square of an odd integer is an odd integer: 3² = 9

d. . The product of two odd integers is an odd integer.: 3 x 5 = 15

Step-by-step explanation:

Proving the following statements using a direct proof;

a. The sum of an odd and an even integer is odd:

let the odd integer = 3

let the even integer = 2

3 + 2 = 5

5 is an odd integer, proved

b. The sum of two odd integers is an even integer.

let the first odd integer = 3

let the second odd integer = 5

3 + 5 = 8

8 is an even integer, proved

c. The square of an odd integer is an odd integer. .

let the odd integer = 3

3² = 9

9 is an odd integer, proved

d. The product of two odd integers is an odd integer.

let the first odd integer = 3

let the second odd integer = 5

3 x 5 = 15

15 is an odd integer, proved

Answer:

a. The sum of an odd and an even integer is odd: 3 + 2 = 5

b. The sum of two odd integers is an even integer: 3 + 5 = 8

c. The square of an odd integer is an odd integer: 3² = 9

d. . The product of two odd integers is an odd integer.: 3 x 5 = 15

Step-by-step explanation:

Proving the following statements using a direct proof;

a. The sum of an odd and an even integer is odd:

let the odd integer = 3

let the even integer = 2

3 + 2 = 5

5 is an odd integer, proved

b. The sum of two odd integers is an even integer.

let the first odd integer = 3

let the second odd integer = 5

3 + 5 = 8

8 is an even integer, proved

c. The square of an odd integer is an odd integer. .

let the odd integer = 3

3² = 9

9 is an odd integer, proved

d. The product of two odd integers is an odd integer.

let the first odd integer = 3

let the second odd integer = 5

3 x 5 = 15

15 is an odd integer, proved

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