There are 135 people in a sport centre.
77 people use the gym.
62 people use the swimming pool.
65 people use the track.
27 people use the gym and the pool.
23 people use the pool and the track.
31 people use the gym and the track.
4 people use all three facilities.
How many people didn't use any facilities?

Answers

Answer 1

8 people didn't use any of the gym pool or track facilities.

The number of people use any facilities need to subtract the total number of people who used at least one facility from the total number of people in the sport centre.

The total number of people who used at least one facility by adding the number of people who used each facility and subtracting the number of people who used two facilities and three facilities:

Total = Gym + Pool + Track - (Gym and Pool) - (Pool and Track) - (Gym and Track) + (Gym and Pool and Track)

Total = 77 + 62 + 65 - 27 - 23 - 31 + 4

Total = 127

The number of people who didn't use any facilities is:

135 - 127 = 8

8 people didn't use any of the gym, pool or track facilities.

The number of individuals who did not utilise any facilities must be subtracted from the total number of individuals who utilised at least one facility.

The total number of individuals who utilised at least one facility is calculated by adding the individuals who utilised each facility and deducting the individuals who utilised two and three facilities:

Total = Fitness Centre + Pool + Track - Fitness Centre and Pool - Fitness Centre and Track - Fitness Centre and Pool and Track

Total = 77 + 62 + 65 - 27 - 23 - 31 + 4

Total = 134-127

= 8

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Related Questions

Annie plans to purchase a car that will cost her $16,000. After putting down a 20% down payment, how much will Annie need to finance?

Answers

Convert 20% to a decimal by dividing by 100, = 0.20

16,000 x 0.20 = 3,200 deposit she paid. Subtract that from the total cost
16,000- 3,200= 12,800

find the value of each variable using sine and cosine. round your answers to the nearest tenth​

Answers

Answer:

x=9.5 and y=15.3

Step-by-step explanation:

to find x you do sine of 32 = x/18 because the sine is opposite/hypotenuse

you put in a calculator sine (32) x 18 and get 9.538546756

so x equals 9.538546756 but it says to round to the nearest tenth so x equals 9.5

to find y you do the cosine of 32 = y/18 because cosine is adjacent/hypotenuse

cosine of (32) x 18 = 15.26486573 so you equals 15.26486573 but since you have to round to the nearest tenth y = 15.3

The value of x is 9.54.

The value of y is 15.3.

What are trigonometric identities?

There are three commonly used trigonometric identities.

Sin x = Perpendicular / Hypotenuse

Cosec = Hypotenuse / Perpendicular

Cos x = Base / Hypotenuse

Sec x = Hypotenuse / Base

Tan x = Perpendicular / Base

Cot x = Base / Perpendicular

We have,

From the figure,

Sin 32 = x / 18

Cos 32 = y / 18

Now,

Sin 32 = 0.53

Cos 32 = 0.85

Now,

0.53 = x / 18

Multiply 18 on both sides.

x = 0.53 x 18

x = 9.54

0.85 = y / 18

Multiply 18 on both sides.

y = 0.85 x 18

y = 15.3

Thus,

The value of x is 9.54.

The value of y is 15.3.

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Find the length of the missing side.
13
B
A
5
A) 13.9
B
7.
© 11
D) 12
E Not enough information.

Answers

Answer:

D

Step-by-step explanation:

12 cm,

Simply use Pythagora's theorem. The square of the hypotenuse = the sum of the squares of the other two sides

So, you get the square of the missing side by subtracting 5 squared from 13 squared, which gives 144.

Square root of 144 is the length of the missing side, i.e. 12 cm.

A cup of beans costs N160. How much
would a similar tin, three times the height
and diameter, full of beans cost?​

Answers

Answer:

Below.

Step-by-step explanation:

The volume will be 3^3 = 27 times the volume of the small cup.

Answer is N160 * 27

= N4320.

The cost of a full of beans is N4320 if a cup of beans costs N160 and a similar tin, three times the height and diameter,

What is volume?

It is defined as a three-dimensional space enclosed by an object or thing.

We have:

A cup of beans costs N160.

Cost of volume of a small cup = N160

Let V be the volume of a similar cup

V = 3³ = 27

The cost = 27×160 = N4320

Thus, the cost of a full of beans is N4320 if a cup of beans costs N160 and a similar tin, three times the height and diameter,

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A 31-m tall building casts a shadow. The distance from the top of the building to the tip of the shadow is 33 m. Find the length of the shadow. If necessary,
round your answer to the nearest tenth.
B
5
?

Answers

Answer:

Step-by-step explanation:

[tex]\text{By the Pythagorean Theorem the hypotenuse of a right triangle squared is equal to the sum of the squared sides.}\\ \\ h^2=x^2+y^2\\ \\ 33^2=31^2+x^2\\ \\ x^2=33^2-31^2\\ \\ x^2=128\\ \\ x=\sqrt{128}\\ \\ x\approx 11.3m[/tex]

Please help pleasseee

Answers

Step-by-step explanation:

hope this is correct.......

Answer:

M = 26

Step-by-step explanation:

4m + 3m - 5 + 3 = 180 degree

7m -2 = 180 degree

7m = 180+2

7m = 182

m = 182/7

m =   26

26 x 4 - 5 = 104 - 5 = 99

26 x 3 +3 = 78+ 3 = 81

Please help me with this ᕕ( ᐛ )ᕗ thank you!

Answers

Answer:

B

Step-by-step explanation:

We can create the equation step-by-step:

Each row of bricks is 6.5cm and the number of row of bricks is r: 6.5r

Total of height of wall: = 259cm

Top row is 1cm shorter: -1cm

Combine all the terms together and we get: 6.5r - 1 = 259

Which means each row of bricks is 6.5cm but minus 1cm from the top to get 259cm the total :D

it’s MATH who knows how to do this i’m down bad

Answers

Answer/Step-by-step explanation:

1. 7x + 2 = 5x + 22 (alternate interior angles are congruent)

Collect like terms

7x - 5x = -2 + 22

2x = 20

2x/2 = 20/2

x = 10

2. 13x - 6 = 10x + 24 (alternate interior angles are congruent)

Collect like terms

13x - 10x = 6 + 24

3x = 30

3x/3 = 30/3

x = 10

3. (12x + 26)° + 46° = 180° (same side interior angles are supplementary)

12x + 26 + 46 = 180

12x + 72 = 180

12x + 72 - 72 = 180 - 72

12x = 108

12x/12 = 108/12

x = 9

4. (5x + 5)° + 135° = 180° (same side interior angles are supplementary)

5x + 5 + 135 = 180

5x + 140 = 180

5x + 140 - 140 = 180 - 140

5x = 40

5x/5 = 40/5

x = 8

I. 2a + 2b - c + d = -5

II. a + b + d = -2

III. 3a - b + 2c -d = 18

IV. 4b = -c

Hint:

Solve for c first in IV.

Solve for any variable in II next.

Solve I then.

Answers

Answer:

Wat

Step-by-step explanation:

Kind of question is this

A train travels 150 km in the same time that a plane covers 525 km. If the speed of the plane is 20 km per hr less than 4 times
the speed of the train, find both speeds.

Answers

Answer:

Step-by-step explanation:

what is the place value of 3 in 553 049 270?​

Answers

Answer:

1 million

Step-by-step explanation:

Start counting at position 0, the rightmost position has value 10⁰ = 1

The one left to that 10¹ = 10

... and so forth ...

The 6th position has value 10⁶ = 1000000, a.k.a. one million.

The place value of 3 in 553 049 270 is 1 million.

Here the number is given as 553 049 270.

We have to find the place value of 3 in given number.

What is Place value?

Place value is describe the position or place of a digit in a number.

Now,

To find the place value of 3;

Start counting at position 0, the rightmost position has value [tex]10^{0}= 1[/tex]

The position of 7, one left to 0, has value [tex]10^{1} = 10[/tex]

------ and so on.

Now, position of 3 is 6th position has value [tex]10^{6} = 1000000[/tex]

So, The place value of 3 in 553 049 270 is 1 million.

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Joe and Jacob are selling pies for a fundraiser. Customers can buy blueberry pies and
apple pies, Joe sold 4 blueberry pies and 7 apple pies for a total of $123. Jacob sold 4
blueberry pies and 2 apple pies for a total of $58. What is the cost of one blueberry pie
and one apple pie.

Answers

Answer:

1234567891011121314151617181920

no entiendo en español menos en ingles

8 slices of pizza and 5 sodas cost $36.50. 4 Slices of pizza and 10 sodas cost $37. How much does a slice of pizza cost? How much does a soda cost?


PLEASE HELP

Answers

Step-by-step explanation: If we use the variable p to represent our pizzas and s to represent our sodas, if our first equation states than 8 slices of pizza and 5 sodas cost $36.50, that's 8p + 5s = 3650.

Notice that I expressed cost in terms of cents so

that we can avoid having to deal with decimals.

In our second equation, 4 slices of pizza and

10 sodas cost $37, that's 4p + 10s = 3700.

Now let's rewrite our two equations on top of one another.

8p + 5s = 3650

4p + 10s = 3700

To solve this system of equations, I would use addition.

I would multiply the bottom equation by -2

to create a situation where our p's will cancel.

When we do that, we get -8p - 20s = -7400.

Now rewrite the equations once again ~

8p + 5s = 3650

-8p - 20s = -7400

Now add the equations together.

So we have -15s = -3,750.

Divide both sides by -15 and s = 250.

Remember that I expressed cost in terms of cents so

since s = 250, it really means that a soda is $2.50.

Now just plug an s back in for the s in one equation.

When we do this, we find that p = 300.

So a pizza is $3.00

Which of the I-values are solutions to both of the following inequalities?
81> I and I > 68

Answers

Answer:

Option (C)

Step-by-step explanation:

Given inequalities are,

81 > x and x > 68

Therefore, 81 > x > 68 is the inequality representing the solution area for x.

Out of x = 88, 85 and 80,

x = 80 will lie between the range of x = 68 and x = 81.

Therefore, Option (C) will be the correct option.

Find the value of x. I WILL GIVE 60!!! POINTS ANSWER QUICK!

Answers

Answer:

120 degrees

Step-by-step explanation:

Rsm right?

will give brainliest IF CORRECT

What is the name of the angle
relationship?

vertical angles
supplementary angles
complementary angles

Answers

Answer:

They are supplementary angles.

Hope it will help :)

Desmond went to a concert with his three other friends and he decided to pay for the tickets and his friends would pay him back. The total of the tickets was $108. Write and solve an equation that will find how much it is for one ticket.

Answers

I would say 108 divided by 4 = 27 but I may be wrong

Is xy= 60 a direct variation or inverse variation

Answers

Answer:

Inverse variation

Step-by-step explanation:

Direct variation:

[tex]\dfrac{y}{x}=constant[/tex]

Inverse variation:

[tex]xy=constant[/tex]

We have

[tex]xy=60[/tex]

it's an inverse variation.

Solve the equation 2x + 4 - 9 Explain the steps
and properties you used.

Answers

Answer:

2x - 5

Step-by-step explanation:

2x + 4 - 9

the 2x gonna stay

so you take 4 - 9 = -5

so the answers gonna be 2x - 5

bc the 5 is negative so you gonna subtract

I hope you understand my english...

witch is better gacha life or gacha club or anime or animal crossing ​

Answers

personally i like animal crossing and anime

Answer:

If you want i could make a goup with animal crossing, I also have a anime group but thats at school so i have to cross that out and i dont play gatcha life

Step-by-step explanation:

10. A rectangle has a perimeter of 22 cm. If the length of the rectangle is 2 cm more than two times the
width, what are its dimensions?

Answers

Answer:

w = 3 cm

l = 8 cm

Step-by-step explanation:

let 'w' = width

let '2 + 2w' = length

P = 2l + 2w

22 = 2(2 + 2w) + 2w

22 = 4 + 4w + 2w

22 = 4 = 6w

18 = 6w

w = 3

length = 2 + 2(3) = 18

A total of 560 tickets were sold
They were either adult or Student
tickets.
The number of Student tickets
Sold was 3 times the number of
adult tickets. How many adult
tickets sold

Answers

Answer:

Student.... 420

Adult.......140

EFG, e = 9.8 cm, f = 3 cm and ∠G=167°. Find the length of g, to the nearest 10th of a centimeter.

Answers

Answer:

Step-by-step explanation:

Answer:12.7

Step-by-step explanation:

Which one is the correct answer?

Answers

Answer:

3

Step-by-step explanation:

6 (3x+5)=6 (3x)+6 (5)

=18x+30

DISTRIBUTIVE LAW OF ADDITION

Answer:

#3

Step-by-step explanation:

6(3x+5) = 6(3x) + 6(5) = 18x +30

Can I have brainliest please..? hee hee

How do I Use the order of operations to simplify the expression. 1/3+1/5x1/9

Answers

Answer:

Step-by-step explanation:

1/3+1/5×1/9 = 1/3+1/45 = 9/45+1/45 = 10/45 = 2/9

use multiplication first, multiply 1/5 and 1/9 to get 1/45
then add 1/3,
(multiply 1/3 by 15/15 to get 15/45)

add 15/45 and 1/45 to get 16/45

if m2=39 and m3=30 what is m1

Answers

Answer:

m1 = 48

Step-by-step explanation:

this s a sequence of -9

it could only be + square by 3 if shown in question initially as squared m^2 so we cna presume the answer is m = - 9  m1 = 48

Answer:

i cant post the official answer because its "not school related" so i'll post it again :)

Step-by-step explanation:

add 51+18 and you have your answer enjoy :D

Is 1/3 less than or greater than 5?

Answers

Answer:

Less than

Step-by-step explanation:

not a whole #

Hello random person and it would be very helpful if you know this answer!

Write the phrase as an expression.

1. 15 decreased by the product of a number x and 4.

Answers

Answer:

4x - 15

hope this helped

The answer is “ 15 - ( X • 4 ) “

Kristy ran a mile in 6.58 minutes. She ran her second mile in 7.15 minutes. What was the time difference between her first and second mile.

Answers

Answer:

17 seconds

Step-by-step explanation:

7.15 minus 6.58 is .17 or 17 seconds

Answer:

17 seconds

Step-by-step explanation:

7 minutes and 15 seconds minus 6 minutes and 58 seconds

You also have to remember that in a minute, there is 60 seconds, not 100

Zoo tickets cost seven dollars a person if the zoo brought in 1302 on Friday how many people visited that

Answers

Answer:

the awnser would be. 1302÷7=186

Step-by-step explanation:

you divide.

Answer: 186 people

1302 ÷ 7 = 186
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