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:
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.
Related Questions
Original Price = $ 20, % Markup = 15%
Answers
Answer:
23 dollars
Step-by-step explanation:
so to figure out how much more you grab 20 and multiply by .15 as percent and you will get 3 dollars more so 23
Find two integers whose sum is 19 and product is 90
Answers
Answer:
Step-by-step explanation:
The two integers are 10 and 9
10 + 9 = 19
10 x 9 = 90
The two numbers are 9 and 10.
What are integers?A number without a decimal or fractional element is known as an integer, which can be both positive and negative, including zero
Let the two integers be x and y.
Given that, the sum of the integers is 19, therefore,
x + y = 19
x = 19 - y
Given that, the product of the integer is 90:
xy = 90
(19-y)y = 90
19y - y² = 90
y² -19y + 90 =0
y² -10y - 9y + 90 = 0
y(y - 10) -9(y - 10) = 0
(y -9)(y - 10) = 0
y = 9 and y = 10
Hence, the two numbers are 9 and 10.
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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.
there is 60 cows in the field 20% of the cows have brown spot and 1/3 of the cows have black spot the rest have no spot how many cows have no spots
Answers
Your answer should be:
28 cows.
------------------------------------
With there being 60 cows:
12 cows have brown spots.
20 cows have black spots.
28 cows have no spots.
which part of this expression represents he total amount the friends pay for meal tickets
Answers
Answer:
whats the expression
Step-by-step explanation:
Answer:
d+2.5+d-4
Step-by-step explanation:
The diagram shows a triangle.
4s+9°
3s+1°
6s+1°
What is the value of s?
the number that s is has to equal to 180 once worked out
Answers
Answer:
s=13
Step-by-step explanation:
[tex]As\ we\ know\ that,\\"The \ sum\ of\ all\ angles\ of\ a\ triangle\ is\ 180"\\Hence,\\(4s+9)+(3s+1)+(6s+1)=180\\4s+3s+6s+9+1+1=180\\13s+11=180\\13s=180-11\\13s=169\\s=13[/tex]
Determine whether the following graph represents a function,
Not a Function
Function
Submit answer
Answers
Answer:
Create a single variable linear equation that has no solution. Solve the equation algebraically to prove that it does not have a solution.
Create a single variable linear equation that has one solution. Solve the equation algebraically to prove that there is one distinct solution for the equation.
Create a single variable linear equation that has infinitely many solutions. Solve the equation algebraically to prove that there is an infinite number of solutions for the equation
Step-by-step explanation:
PLEASE GUYS IM DESPRATE
Answers
Answer:
Step-by-step explanation:
Putting values in the equation
-(-3)-(2)3+ (-2) (3)
3 - 8 + (- 6)
-5 - 6
= - 11
Answer:
-11
Step-by-step explanation:
-(-3)-(2^3)+(-3)2
3-8-6=-11
An airplane traveled 108 miles in 20 minutes? How long will it take to fly 162 miles?
a
30 min
b
25 min
c
8.1min
d
35 min
omg pls help me im giving like all my points out for this
Answers
Answer:
poopy
Step-by-step explanation:
Tee Hee
Answer:
a, 30 minutes
Step-by-step explanation:
108 divided by 20 is 54
162 divided by 54 is 30
PLZ HELP U WILL GET BRAINLIEST Solve for X:
Answers
Answer:
x=17
Step-by-step explanation:
7x+15=4x+66
3x=51
x=17
Answer:
17
Step-by-step explanation:
7x + 15° = 4x + 66° (vertically opposite angles are equal)
7x - 4x = 66 - 15
3x = 51
x = 51/3
x = 17
hope it helps you^^
How many solutions are in the following system? x + y = 9 2x + 2y = 18
Answers
Answer:
3
Step-by-step explanation:
I need help pleaseee ASAP!
Will give brainliest to the correct answer :)
Answers
Answer:
7 rate of change. If right consider brainlist:)
Step-by-step explanation:
The following information is known about a savings account. What amount of simple interest will be earned?
Answers
Answer:
what is you exact question?
If z is inversely proportional to r, and z= 32 when r=1.5, find r when z=8.
PLEASE HELP ME SOS
Answers
k = 32 * 1.5 = 48
Plug that into equation
8 = 48/r
Multiply both sides by r
8r = 48
Divide by 8
r = 6
Which of the sets of ordered pairs represents a function?
P = {(3, 5), (−1, 5), (4, −6), (2, 9)}
Q = {(7, −2), (5, 9), (−1, 8), (5, −3)}
Answers
Answer:
P
Step-by-step explanation:
P tells us that the Domain: 3,-1,4,2 doesn't repeat
Q does repeat its Domain: 7,5,-1,5
Reminder that in order for a line of ordered pairs to be a function the domain number Shouldn't repeat, That doesn't mean that the range cant repeat.
Example: (5,-3), (5,9) Not a function
(-1,-6), (7,-6) Function
Out of the two set given, the set of ordered pairs that represents a function is: P = {(3, 5), (−1, 5), (4, −6), (2, 9)}.
What is a Function?A set of ordered pairs that has one exact y-value assigned to each x-value is considered a function.
In set P, all x-values has exactly one y-value, while in set P, the x-value, 5, has two different y-values, 9 and -3.
Therefore, the set of ordered pairs that represents a function is: set P.
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Persevere with Problems Suppose an online store has an item that costs $50. The item is on sale for 10% off the original price. 10% of $50 = $
Answers
Answer:
$5
Step-by-step explanation:
To find 10% of $50 we will use 50*0.10 since 10%=.10
the result of this is 5/ $5
A percentage is a number or ratio that can be expressed as a fraction of 100.
The amount of 10 percent of $50 is $5.
i.e 10% of $50 = $5
What is a percentage?A percentage is a number or ratio that can be expressed as a fraction of 100.
We have fractions for different percentages.
50% = 1/2
20% = 1/5
25% = 1/4
10% = 1/10
We have,
Cost of the item = $50
We need to find the 10% of $50.
10% can be written as 1/10.
The value of 10% of $50:
= 10% of $50
= (1/10)x 50
= $5
Thus the amount of 10 percent of $50 is $5.
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Solve each proportion.
1) 4/7 =2/n
Answers
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[tex] \frac{4}{7} = \frac{2}{n} \\ [/tex]
Inverse both sides
[tex] \frac{7}{4} = \frac{n}{2} \\ [/tex]
[tex] \frac{n}{2} = \frac{7}{4} \\ [/tex]
Multiply sides by 2
[tex]2 \times \frac{n}{2} = 2 \times \frac{7}{4} \\ [/tex]
[tex]n = \frac{7}{2} \\ [/tex]
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someone help. i’m bad at math.
Answers
Step-by-step explanation:
when perpendicular, u must use m1m2=-1
so , (⅓)(m2)=-1
m2= -3
y-y1=m2(x-x2)
y-1=-3(x-0)
y=-3x+1
Answer:
y = -3x + 1
Step-by-step explanation:
to be perpendicular the multiplication of the gradiens should be -1
m1 × m2 = -1 , m1 = 1/3
1/3 × m2 = -1
m2 = -3
and required equation passes through the point.( 0,1)
y = m2 x + c2
1 = -3 (0) + c2
c2 = 1
so the equation
y = -3x + 1
what is the remainder of 2,445 ÷ 8
Answers
305 Remainder 5
305 R 5
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Mary went to the local market to purchase some fruit. Each box of
oranges sold for $3 and each box of pears for $5. Mary purchased a total
of 18 boxes of fruit for $68. How many boxes of oranges did she
purchase?
Answers
Answer:
11
Step-by-step explanation:
11 BOXES OF ORANGES IS $33
7 BOXES OF PEARS IS $35
WHICH EQUALS $68
MEANING THERE IS 11 BOXES OF ORANGES
Marking brainless lol!!
Answers
Answer:
c
Step-by-step explanation:
3 times c which is the number of cousins + 8 which she got from her mom
=
Answer:
the answer is c, 3c+8=20
Step-by-step explanation:
$3 times the number of cousins + $8 from Ella's mom = $20.
Please give brainliest!
What are the next 3 terms in the sequence 2.0,3.5,5.0,6.5?
Answers
Answer:
8.0, 9.5, 11.0
It is increasing by 1.5.
Step-by-step explanation:
Answer:
8.0
explanation; the answer is 8.0
if f(x)=x2+3x+5 what is f(3+h)
Answers
Choose the expression equivalent to 2^ -2 x
2^5.
Answers
Answer:
2³
Step-by-step explanation:
Using the rule of exponents
[tex]a^{m}[/tex] × [tex]a^{n}[/tex] = [tex]a^{(m+n)}[/tex] , thus
[tex]2^{-2}[/tex] × [tex]2^{5}[/tex] = [tex]2^{(-2+5)}[/tex] = 2³ [ = 8 ]
my mom just grounded me for a year bc my sister dropped her vap3 on the floor and i tried to pick it up fast so my mom didnt see. she saw tho and my sister didnt even tell the truth the whole time i was getting yelled at. what do i do
Answers
Answer:
Explain
Step-by-step explanation:
Tell her what happened, be honest and calm
Answer:
is this answer look
Step-by-step explanation:
Yesterday, there were 10 problems assigned for math homework. Anna got 7 out of 10 problems correct. What percentage did Anna get correct
Answers
Answer:
70%
Step-by-step explanation:
7/10=70%
Answer:
70 percent
Step-by-step explanation:
if you multiply both factors by 10 you get 70/100 which is 70 percent
a 1 16 -3
b 2 16 3
c 1 12 -3
d 1 -16 -2
Answers
Answer: Um, The answer is 1, 12, –3.
Step-by-step explanation:
Find the inverse of the function f(x) = 2x - 4
Answers
The correct answer is f^-1(x)=1/2x+2.
1. Substitute y for f(x). ( y=2x+4 )
2. Interchange the variables x and y. ( x=2y-4 )
3. Swap the sides. ( 2y-4=x )
4. Move the constant to the right. ( 2y=x+4 )
5. Divide both sides by 2. ( y=1/2x+2 )
6. Use substitution to substitute f^-1(x) for y.
Thus the inverse is f^-1(x)=1/2x+2
A plane flew at a constant speed between Denver and Chicago.
It took the plane 1.5 hours to fly 915 miles.
How far would the plane fly in 10 hours at this speed?
Answers
Answer:
To found out his constant speed
915/3=305 Meaning the plane flew 305 miles per half hour
Meaning that the plane flew 610 miles per full hour
Step-by-step explanation:
There ya go
Marneshia walked of a mile in of an hour. What equation can be used to calculate her unit rate in miles per hour?
Answers
time divided by distance. She was going 1 miles an hour