2.
In an annual function of a school every student has to participate either in sport or
in music. Out of 180 students, if 120 participate in sport and 40 participate in both
activities, find,
(i) how many students participate only in music?
(ii) Represent the above information in a Venn-diagram
Answers
Answer:
1.) 60 students
11.) kindly check attached picture
Step-by-step explanation:
Given that:
Total number of students = n(Total) = 180
Number who participate in sport = n(Sport) = 120
Number who participate in both = n(Sport n Music) = 40
Number who participate only in Music =?
Let number who participate in Music = x
Hence, n(Music only) = x - 40
n(Sport only) = 120 - 40 = 80 students
Summing all should give us n(total)
n(sport only) + n(sport n music) + n(music only) = 180
80 + 40 + (x - 40) = 180
80 + 40 + x - 40 = 180
80 + x = 180
x = 180 - 80
x = 100 students
Therefore,
n(Music only) = x - 40 = 100 - 40 = 60 students
Related Questions
Graph the line
y = - 4/3x + 3
I need help with the steps.
Answers
Start by putting a dot at (0,3). Then you just need to go four down and three right from that dot and put another dot. Just repeat that a couple times to make sure it is straight, and connect the dots with a line. You can also go four up and three left from the (0,3) for the other side of the axis.
Step-by-step explanation:
First look at the y-intercept or b (in this case it is 3)
The y-intercept tells us where the line touches in the graph on the Y-axis
(In this case you move up in the Y-axis 3 times)
Put a dot on 3 (in the y-axis)
Now from 3 on the y-axis go down -4 and right 3 since the slope is -4/3
(Slope = rise/run -4 is rise [but since it the 4 is a -4 you go down] and 3 is run)
every time you finish going down -4 and right 3 place a dot on it and repeat if you think you can draw a line then stop and draw the line and you are finished
Answer: (This is in Desmos.com)
Please help!!!!
Are the two triangles similar?
Answers
Answer:
No because they are not proportanial
have a great day you are loved and you matter
Step-by-step explanation:
Need brief explanation about why false is correct
Answers
We are given the equation:
(a + b)! = a! + b!
Testing the given equation
In order to test it, we will let: a = 2 and b = 3
So, we can rewrite the equation as:
(2+3)! = 2! + 3!
5! = 2! + 3!
We know that (5! = 120) , (2! = 2) and (3! = 6):
120 = 2 + 6
We can see that LHS ≠ RHS,
So, we can say that the given equation is incorrect
Connections Academy Geometry10A semester exam. Does anyone have the answers im 1% away from passing.
Answers
Answer:
probably not, but if you were to post the questions without it saying on it that its an exam (because those get deleted all the time) people could help you through it. :)
Step-by-step explanation:
PLS HELP I ONLY HAVE HR
Question 4 (4 points)
(04.02)
The graph shows the amount of money paid when purchasing bags of candy at the zoo:
A graph is shown. The x-axis is labeled from 0 to 9. The y-axis is labeled from 0 to 10. Four points are shown on the graph on ordered pairs 0, 0 and 1, 2 and 2, 4 and 3, 6. These points are joined by a line. The label on the x-axis is Bags of candy. The title on the y-axis is Total cost in dollars.
What is the cost of one bag of candy? (4 points)
a
$2
b
$4
c
$0
d
$6
Answers
Answer:
a $2
Step-by-step explanation:
One of the ordered pairs were (1, 2) which meant that at 1 bag of candy, the total cost in dollars is 2 based on the labelling of the x- and y-axis. Thus, the cost of one bag of candy is $2.
it want me to type here sooo um brainleist for the one who gibs the correct answer!!
Answers
Answer:
70 + 95 = 5(14 + 19)
Step-by-step explanation:
To factor the expression, 70 + 95, using the GCF, take the following steps:
✔️Find the prime factors of each number:
Prime factors of 70 = 2 × 5 × 7
Prime factors of 95 = 5 × 19
Multiply the factors that both numbers have in common to get the GCF.
This, both number have only one factor in common which is 5.
Therefore, the GCF of 70 and 95 is 5.
✔️Factoring the experession given using the GCF, we have:
70 + 95 = 5(14 + 19)
simplify or solve the problem
4 ( 3x - 6 ) = 12
a) -3
b) 0
c) 3
Answers
Sally used 5 gallons of ginger ale, 1 gallon of orange juice, and 2 gallons of pineapple juice, to make a punch for her family holiday party. How many
quarts of punch will Sally have for her party?
O 32 quarts
O 52 quarts
O 36 quarts
12 quarts
Answers
If the value of y varies directly with x, which function represents the relationship between x and y when y = 16/5
and X=20
A. Y=25/4x
B. Y=116/5x
C. Y=4/25x
D. Y=64x
Answers
Answer:
C. Y=4/25x
Step-by-step explanation:
If y varies directly as x, tis is expressed as;
y ∝ x
y = kx
k is the constant of proportionality
Goven
y = 16/5 and x = 20
16/5 = 20k
16 = 100k
k = 16/100
k = 4/25
Substitute k = 4/25 into the original equation
y = kx
y = 4/25 x
Hence the required expression is y = 4/25 x
Help please it’s important
Answers
Answer:
C
Step-by-step explanation:
Yolanda deposited $2,130 into an account. She made no additional deposits or withdrawals. Yolanda earned 4.25% annual simple interest on the money in the account.
What was the balance in dollars and cents in Yolanda's account at the end of 4 years
Answers
Answer:
$2492.10
Step-by-step explanation:
Deposit amount = $2130Interest rate = 4.25% annual simpleTime = 4 yearsBalance at the end of 4 years:
$2130*(1 + 4*0.0425) = $2492.10Which number is bigger: 1.58 or 1.025
Answers
Answer:
1.58 is bigger than 1.025
Step-by-step explanation:
Answer:
1.58 is greater
Step-by-step explanation:
because just compare the digits...in once place both are having same no. but in tenths place they are different since 5 is greater than 0
Michelle is planting flowers in her garden. She wants the ratio of daisies to carnations to be 3 to 2. Michelle wants to plant a total of 30 flowers. How many daisies should she plant?
Answers
Steps:
Divide 30 by 5 because 3+2 is 5
The answer is 6
The proportion for daisy is 3 so multiply 3 by 6 which is 18
For carnations multiply 2 by 6
Answer:
18 Daisies and 12 Carnations
Step-by-step explanation:
The total amount of flowers adds to be 30 therefore the amount of daises plus the amount of carnations should equal 30 (d+c=30). Then your ratio of daises to carnations is 3 to 2. Which means that you are going to have three daisies for every 2 carnations.
Find the area of the circle. Use pi =3.14 and round to the nearest hundredth. R=14m
Answers
Answer:
615.75 or 616.0
Step-by-step explanation:
Point-slope form of the line that passes through (-8,2) and is perpendicular to a line with a slope of -8
Answers
Answer:
y-2=1/8(x+5)
Step-by-step explanation:
1. Perpendicular lines have opposite slopes. To get the new slope, take the slope of the first line and turn it to make it the opposite reciprocal.
Since it's -8, the opposite of it is 1/8.
2. Now, use point slope: y-y1=m(x-x1). Plug in the values of the ordered pair and the slope into the equation.
y-2=1/8(x+8)
And that's your answer
SOMEONE, PLEASE HELP LITERALLY STRUGGLING!!!!!!
Circle 1 represents students involved with drama after school, circle 2 represents students involved in sports, and circle 3 represents students in academic club activities. What can you conclude about students who fit in region B?
A.
Region B represents the students involved in sports only.
B.
Region B represents the students involved in sports and academic clubs.
C.
Region B represents the students involved in drama and sports.
D.
Region B represents the students not involved in academic clubs.
Please select the best answer from the choices provided
A
B
C
D
Answers
Answer:
A
Step-by-step explanation:
Identify the center of the circle.
Center=?
Help pls!!!
*its hw*
Answers
Answer:
the center of the circle seems to be at E
Step-by-step explanation:
this however is a guess, tell me if I'm right
2000x5000000000000000000000000000
Answers
Answer:
your answer is 1e+31
Step-by-step explanation:
Answer:
1e+31
Step-by-step explanation:
If a data set has mean of 150 and a standard deviation of 25, what is the z-score of an element with a value of 250?
Answers
Answer:
Z-score is 4
Step-by-step explanation:
N(150, 25^2)
Use z-score formula (can be found from internet with miu and sigma symbol)
[tex]z = \frac{250 - 150}{25} \\ z = \frac{100}{25} \\ z = 4[/tex]
A coach is ordering shirts for a team.
The coach pays a one-time fee of $19.99.
The coach also pays $7.50 for each shirt ordered.
Which function can be used to find C, the total amount a coach pays in dollars when s shirts are ordered?
Answers
......
A seven-person relay team completed a race in 84.7 seconds. On average, what was each runner's time?
Answers
Answer:
12.1 seconds
Step-by-step explanation:
84.7/7 = 12.1
Answer:
12.1
Step-by-step explanation:
Divide the 84.7 by the # of people on team (7)
three times the difference of two times m and five is equal to eight times m to the second power increased by four
Answers
Answer: 3*(2m-5)=8m^2+4
Step-by-step explanation:
The mathematical expression of the given statement is 3(2m-5) = 8m²+4.
What is an mathematical expression?
Expression in mathematics is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Here, the given mathematical statement is given as :
three times the difference of two times m and five is equal to eight times m to the second power increased by four , which can be written as :
3(2m-5) = 8m²+4
Therefore, the mathematical expression of the given statement is 3(2m-5) = 8m²+4.
Read more about mathematical expression at:
https://brainly.in/question/10133124
#SPJ2
Joe would have earned $504 for working a 42 hour week but he was sick and missed 4 hours. How much did he earn?
Answers
Answer: $456
Step-by-step explanation:
$504/42 hr = 12 per hour
4 hours = $48
$504 - $48 =
= $456
Answer:
He earned $456
Step-by-step explanation:
504/42=12
42-4=38
38*12=456
Good Luck!!!!
what is 62 divided by 17 plus 29
I will mark brainliest
Answers
Answer:
32.647
Step-by-step explanation:
What is 37% of 600?
ANSWER CORRECT
Answers
Answer:
the answer is 222
Answer:
222
Step-by-step explanation:
To solve the equation above for X, you first switch the sides to get the X on the left side, then you multiply each side by 600, and then finally divide the numerator by the denominator on the right side to get the answer. Here is the work to illustrate:
37/100 = X/600
X/600 = 37/100
X*600/600 = 37*600/100
X = 22200/100
X = 222
Estimate:
81 - 11.70 =
Answers
Answer:
the answer ur looking for
81 −11.7 ≈ 70
PLEASE ANSWER!!
A store clerk tells you that if you use a 10% off coupon the $30 jacket you want will only cost $20. What mistake has she made? What is the true cost of the jacket?
Answers
Answer: The true cost of the jacket is $27 dollars.
Step-by-step explanation: To find the cost of the jacket after the discount just do 30 X .1 to get 3. Then take 3 and subtract it from 30. The mistake the clerk made was he probably just saw 10% and did 30-10=20. The clerk might have brain damage because this is like 5th grade math.
There are 32 Drama DVD's. The ratio of Drama DVD's to Mystery DVD's is
8:5. How many Mystery DVD's are there?
Answers
Answer:
20 Mystery DVD’s
Step-by-step explanation:
32/8=4
4*5=20
Answer:
There are 20 Mystery DVD's.
Step-by-step explanation:
Since the ratio of Drama to Mystery is 8:5, then we can conclude that 32:x is another equivalent form of the ratio, given that 32 represents drama, and x represents the unknown number of mystery.
Set up the ratios as 8/5 as one fraction, and 32/x as another, but make them equal each other. Cross multiply the numerators and denominators, then you will get 8x=160
divide both sides to solve for x.
x=20
help neededddd:))))))....
Answers
Answer:
Your answer is 3.
Step-by-step explanation:
I hope this helped.
A bag contains exactly three red marbles, five yellow marbles and two blue marbles. If three marbles are drawn from the bag without replacement, what is the probability that all three will be the same color? Express your answer as a common fraction
Answers
Answer:
11/120Step-by-step explanation:
Red = 3Yellow = 5Blue = 2Possible options would be red or yellow as only two blue marbles.
Probability of 3 red:
3/10*2/9*1/8 = 1/120Probability of 3 yellow:
5/10*4/9*3/8 = 1/12Probability of same three is:
1/120 + 1/12 = 11/120