There are 30 boys in a sporting club. 20 of them play hockey and 15 play volleyball. Each boys plays at least one of the two games. Illustrate the information on a Venn diagram. How many boys play all the two games. How many boys play only one game​

Answers

Answer 1

Answer:

5 boys play all the two games

25 boys play only one game

Step-by-step explanation:

Sets

There are two sets defined in the question: one for the boys who play hockey (H) and the other for the boys who play volleyball (V).

All the boys play at least one of the two games, so no elements are outside both sets.

There are 30 boys in total. 20 of them play hockey and 15 play volleyball. Since the sum of both numbers is greater than the total of boys, the difference corresponds to the boys who play both games.

Thus 20 + 15 - 30 = 5 boys play both games

Given that 5 boys are shared by both sets, from the 20 playing hockey, 15 play ONLY hockey. From the 15 boys playing volleyball, 10 play ONLY volleyball.

Thus 15 + 10 = 25 boys play only one game.

The Venn diagram is shown in the image.

There Are 30 Boys In A Sporting Club. 20 Of Them Play Hockey And 15 Play Volleyball. Each Boys Plays

Related Questions

ax + bx = 0
Solve equation for x

Answers

X=0 is the value....

Answer:

you cant have two variables

Step-by-step explanation:

Elvira used 4 cups of grape juice, 15 cups of cranberry juice, and 2 1 / 2 cup of pineapple juice to make punch. One liter is approximately equal to 4.23 cups. Which measurement is closest to the number of liters of punch Elvira made

A: 1:42 L
B: 10.23 L
C: 25.38
D: 1.77 L

Answers

Answer:

C

Step-by-step explanation:

Alannah has a puppy, she buys a leash for $3.99, a dog toy for $5.47, and one bag of dog food for $8.99. What is the minimum amt of money (x) Alannah has to have to purchase supplies for her puppy

Answers

Answer:

I'm pretty sure she needs to have $18.45

Step-by-step explanation:

All you have to do is add the numbers together to get the minimum amount

Answer:

18.45[tex]\leq[/tex]x

Step-by-step explanation:

3.99+5.47+8.99[tex]\leq[/tex]x

A quality control manager is inspecting four digital scales to see if they accurately reflect a weight of 0 ounces. The table shows the weight displayed on four empty scales.

Empty Scale Weight Displays
Scale 1
–1 ounce
Scale 2
–2 ounces
Scale 3
0 ounces
Scale 4
–1 ounce

What is the average error in the scale displays?
–4 ounces
–1 ounces
0 ounces
1 ounce

Answers

Answer:

-1

Step-by-step explanation:

22. Daneille wants to purchase some clothes. He has $75. He buys one leather jacket for $39 and 3 pairs of socks. Each pair of socks cost the same price. Determine the price of one pair of socks. Equation:
One pair of socks: $ ​

Answers

Answer:

64

Step-by-step explanation:

g(x) = 5x - 12. What is g(8)?
Your answer

Answers

Answer:

28

Step-by-step explanation:

Replace x for 8 in the equation and solve it normally

A car’s wheels spin at 1000 revolutions per minute. The diameter of the wheels is 23 inches. You want to know how fast the car is travelling.

A:Circumference
B:Area

Answers

Answer:

Speed = 72,285 in/min

Step-by-step explanation:

Given:

Total revolution per min = 1,000

Diameter = 23 in

Radius = 23/2 in

Time = 1 min

Find:

Speed

Computation:

Total distance = 2πr(1000)

Speed = Distance / time

Speed = 2πr(1000) / 1

Speed = 2π(23/2)(1000) / 1

Speed = 72,285 in/min

If the shared hypotenuse between the two right triangles is 1.3 centimeters longer than the longest leg length, what is the length of the hypotenuse if the longest leg length is 5.5 centimeters?

Answers

Answer:

6.8

Step-by-step explanation:

This sounds super complicated, but all it is asking is 1.3 + 5.5, which equals 6.8.

y-3= 5(x - 2)

NEED HELP

Answers

Answer:

Y = 5x -7

Step-by-step explanation:

That is written in slope intercept form, which I'm assuming is what you need. If not comment on my answer.

Answer:

y = 5x - 7

Step-by-step explanation:

y-3= 5(x-2)

y-3 = 5x - 10

y=5x -7

This is the answer if you have anymore questions please ask

(2,5), 3, 6) rate of change and slope

Answers

the slope is 1
6-5=1
3-2=1

Answer:

1 for both slope and rate of change

Step-by-step explanation:

Slope is another word for the rate of change of y with respect to x.

Catarina is buying supplies for a party. She plans to spend at least $100 on food and at least $50 on party favors. She can spend no more than $250 total on food and party favors.

Write three inequalities, how much Catarina plans to spend on food, party favors and food.

Answers

Answer:

food [tex]\geq[/tex] 100

favors [tex]\geq[/tex] 50

total [tex]\leq[/tex] 250

The price of a necklace was increased by 20% to £186.
What was the price before the increase?

Answers

Answer:

£223.20

Step-by-step explanation:

20%=37.2

186+37.2=223.2

£223.2

Suppose A and B are points on the number line. If AB = 8 and B lies at −7, where could A be located?
Select ALL that apply.
−1
1
15
−15

Answers

Answer:

The correct answers are: 1 and -15

Step-by-step explanation:

Let a be a point on number line and b be the second point on number line.

The distance between two numbers on number line is calculate by subtracting the smaller number from larger number.

Here

AB = 8

B = -7

We have to look at the options one by one.

For A = -1

As A>B

[tex]AB = B-A = -1-(-7) = -1+7 = 6[/tex]

For A = 1

As A>B so

[tex]AB = A-B = 1-(-7) = 1+7 = 8[/tex]

So with A = 1 , AB = 8

This is one of the right answers.

For A=15

As A>B

[tex]AB = A-B = 15-(-7) = 15+7 = 22\\[/tex]

For A=-15

As B>A

[tex]AB = B-A = -7-(-15) = -7+15 = 8[/tex]

As with A=1 and A=-15, the distance between AB is 8 so these are the correct answers.

Hence,

The correct answers are: 1 and -15

Simplify 1/3(6x+3) -4(3x-2)

Answers

Answer: -10x+9

Step-by-step explanation:

6.4 ÷ 0.043

Round your answer to the nearest whole number.

Answers

Answer:

149

Step-by-step explanation:

6.4 ÷ 0.043

= 148.837209302

= 149 (rounded to the nearest whole number)

Hope this helped!

Answer:

6.4 ÷ 0.043=148.83...so the nearest whole number it is 149

Step-by-step explanation:

since 5-9 are rounded up

This is collection of data made by comparing objects in standard units. In science, the units are metric.

Answers

Answer:

You didn't even write a question.

1 point
The cost for 8 tickets if $84. At this
rate, 15 tickets will cost a total of
O $105.50
O $150.00
O $150.50
O $157.00
$157.50

Answers

157.50!!!!!!!!!!!!!!!!!!!!!!!!!! Last oneee

Please help! It’s already late! Help asap!

Answers

Answer:

D

Step-by-step explanation:

Consider the parent function f(x)=e^x and transformed function g(x)=-f(x)-4. Which features of function F function G are different

Y intercept
End behavior
Domain
Range
Horizontal asymptote

(More than one answer)

Answers

Answer:

y-intercept,

end behavior,

range,

and horizontal asymptote

Step-by-step explanation:

I just finished the PLATO test and these are the answers

The answers are y-intercept, end behaviour, range and horizontal asymptote.

What is a function?

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

We have a parent function:

f(x) = eˣ

The transformed function:

g(x) = -f(x) - 4 = -eˣ - 4

g(0) = -5

f(0) = 1

From the graph, we can say the y-intercept, end behaviour, range and horizontal asymptote are different from the parent function.

Thus, the answers are y-intercept, end behaviour, range and horizontal asymptote.

Learn more about the function here:

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How many more cubic inches of juice will cup B hold than cup A when both are completely full? Round your answer to the nearest tenth.

18.8 cubic inches
21.2 cubic inches
28.2 cubic inches
49.5 cubic inches

Answers

Answer: option b

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

10 2.5 16 4 ? 7.5 48 12 Which statement explains how to find the number of minutes it takes to bike 7.5 miles? Find the ratio of minutes to miles, 4:1. Divide 7.5 by 4. Find the ratio of minutes to miles, 4:1. Multiply 7.5 by 4. Find the difference between 16 and 10. Add the difference to 16. Find the difference between 16 and 10. Add the difference to 7.5.

Answers

Answer:

Find the ratio of minutes to miles, 4:1. Multiply 7.5 by 4.

Step-by-step explanation:

Given

Minutes: 10 || 16 || ?  || 48

-----Miles: 2.5 || 4 || 7.5 || 12

Required

Which statements solve for the missing value?

First, we need to calculate the ratio of minutes to mile

[tex]Ratio = \frac{Minutes}{Mile}[/tex]

When minutes = 16; mile = 4

So, we have:

[tex]Ratio = \frac{16}{4}[/tex]

[tex]Ratio = 4[/tex]

Next, we multiply the ratio by 7.5

[tex]Minutes = Ratio * 7.5[/tex]

[tex]Minutes =4 * 7.5[/tex]

[tex]Minutes = 30[/tex]

Hence, option B answers the question.

A card is drawn from a standard deck of 52 cards. What is the probability this card will be a king or an ace?
A. about 3.9%
B. about 7.7%
C. about 15.4%
D. about 50%

Answers

Answer:

C. about 15.4%

Step-by-step explanation:

There are 52 cards in a deck

There are 4 kings and 4 aces

so, 8/52 is the chance of getting either of those two.

8/52 is about 0.1538 or 15.38%

15.38% rounded would be 15.4%

3(x + 1) = −2(x − 1) − 4

Answers

x= -1
i think, hope this helps!

What is the slope of this line?

Answers

Answer:

[tex]m=\frac{2}{3}[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Step-by-step explanation:

Step 1: Define

Point (-2, -1)

Point (4, 3)

Step 2: Find slope m

Substitute:                    [tex]m=\frac{3+1}{4+2}[/tex]Add:                              [tex]m=\frac{4}{6}[/tex]Simplify:                       [tex]m=\frac{2}{3}[/tex]

The axis of symmetry of the graph of h is x = - 3. which ordered pair represents the additional point on the graph of h?​

Answers

Answer: (1,-5)

Step-by-step explanation:it’s the answer

What are the vertical asymptotes of 10/X-1​

Answers

Answer:

Enter a problem...

Algebra Examples

Popular Problems Algebra Find the Asymptotes f(x)=10/(x^2-1)

f

(

x

)

=

10

x

2

1

Find where the expression

10

x

2

1

is undefined.

x

=

1

,

x

=

1

Since

10

x

2

1

as

x

1

from the left and

10

x

2

1

as

x

1

from the right, then

x

=

1

is a vertical asymptote.

x

=

1

Since

10

x

2

1

as

x

1

from the left and

10

x

2

1

as

x

1

from the right, then

x

=

1

is a vertical asymptote.

x

=

1

List all of the vertical asymptotes:

x

=

1

,

1

Consider the rational function

R

(

x

)

=

a

x

n

b

x

m

where

n

is the degree of the numerator and

m

is the degree of the denominator.

1. If

n

<

m

, then the x-axis,

y

=

0

, is the horizontal asymptote.

2. If

n

=

m

, then the horizontal asymptote is the line

y

=

a

b

.

3. If

n

>

m

, then there is no horizontal asymptote (there is an oblique asymptote).

Find

n

and

m

.

n

=

0

m

=

2

Since

n

<

m

, the x-axis,

y

=

0

, is the horizontal asymptote.

y

=

0

There is no oblique asymptote because the degree of the numerator is less than or equal to the degree of the denominator.

No Oblique Asymptotes

This is the set of all asymptotes.

Vertical Asymptotes:

x

=

1

,

1

Horizontal Asymptotes:

y

=

0

No Oblique Asymptotes

image of graph

The vertical asymptotes of the given function are x = 1 and x = -1,

We have given the rational function is 10/(x²-1​).

We need to find the vertical asymptotes of this function.

Since Vertical asymptotes occur when the denominator of the function becomes zero and the numerator is not zero.

To determine the vertical asymptotes of the function, we need to solve the denominator for x²-1=0.

x²-1=0

x²=1

x=±√1

x=±1

Therefore, the vertical asymptotes of the given function are x = 1 and x = -1, since the denominator becomes zero at x=1 and x=-1.

To learn more about vertical asymptotes visit:

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what is the weight of a square if a triangle weighs 4 grams? explain your reasoning

Answers

Answer:5

Step-by-step explanation:

yh thereu go

Answer:

8 grams

Step-by-step explanation:

u add 2 triangles

can someone please please help me? with a reasoning? :(

Answers

Answer:

a) 3x + y = -5 & b) y = 1/3 ( 21- 9x )

Step-by-step explanation:

a)

3x + y = -5

y = -3x -5

b)

y = 1/3 ( 21 - 9x)

y = -3x + 7

y = 3x + 2.5

the slop is to be same in the parallel lines. slop means m in ( y = mx + c )

so a) & b) are parallel lines. since their m is -3 .

Stanley has a part time job planting flowers at the green thumb green house. He earns $11.40 per hour. If he worked 13.5 hours this week, how much did her earn

Answers

Equation: 11.40x
13.5 = x
11.40 * 13.5 = $153.90

6
Samir goes to a farmers market to buy some fruit.
He fills a large bag with 29kg of apples.
He realises that he cannot carry this weight, so puts some of the apples into a smaller bag.
The weight of the apples in the large bag is 15kg larger than the smaller bag.
(a) What is the weight of the smaller bag?​

Answers

Answer:

Weight of Smaller Bag = 7kg

Weight of Larger Bag = 22kg

Step-by-step explanation:

x = weight of smaller bag

x + (x + 15) = 29

2x + 15 =29

2x = 14

x = 7

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