Answer:
48
Step-by-step explanation:
The given parameters are;
The activities in which the students of the school participate = 1) Debate, 2) Music, and 3) Community services
The number of students that do all three activities = 3
The number of students that do two or more activities = 21
The number of the students that participate in music = Half of the students
The ratio of the students that take part in debate, music, and community service = 5 : 4 : 3
Let x represent a common number factor of participants in each of the given three activities, we have;
5·x participate in debate, A
4·x participate in music, B
3·x participate in community service, C
We get;
The sum of the students in the school = A∪B∪C = A + B + C - A∩B - A∩C - B∩C + A∩B∩C
Given that the number of students that do two or ore activities = 21, we have;
(A∩B)∪(A∩C)∪(B∩C) = 21
However, we have;
(A∩B)∪(A∩C)∪(B∩C) = (A∩B) + (A∩C) + (B∩C) - A∩B∩C - B∩A∩C - C∩B∩A + A∩B∩C
∴ 21 = (A∩B) + (A∩C) + (B∩C) - 3 - 3 - 3 + 3
(A∩B) + (A∩C) + (B∩C) = 21 + 3 + 3 + 3 - 3 = 21 + 6 = 27
∴ -(A∩B) - (A∩C) - (B∩C) = -27
Therefore;
A + B + C - A∩B - A∩C - B∩C + A∩B∩C = 5·x + 4·x + 3·x - 27 + 3
5·x + 4·x + 3·x - 27 + 3 = 12·x - 24
The total number of students = A∪B∪C = 12·x - 24
The number of students participating in music, B = 4·x = Half the total number of students = (12·x - 24)/2
∴ 4·x = (12·x - 24)/2
8·x = 12·x - 24
12·x - 8·x = 24
4·x = 24
x = 24/4 = 6
The total number of students at the school = 12·x - 24 = 12 × 6 - 24 = 48
A cannonball shot from a cannon has projectile motion.
true or false
need a answer please
is (-a + b)² = a² - 2ab + b² right or wrong, and why?
Answer:
[tex]\huge\boxed{\sf Right.}[/tex]
Step-by-step explanation:
[tex](-a+b)^2[/tex]
Let's apply the formula (x+y)² = x² + 2xy + y²
Here, x = -a and y = b
So,
= (-a)² + 2(-a)(b) + (b)²
= a² - 2ab + b²
Hence, it has been proved that (-a + b)² = a² - 2ab + b².
[tex]\rule[225]{225}{2}[/tex]
Hope this helped!
~AH1807What is the percent of increase from 80 to 95?
Amount of increase = 95-80 = 15
Percent increase = (15/80) x 100
Percent increase = 18.75%
For a concert, 19 boys and 22 girls bought tickets from the music club. The total cost of the tickets was $256. This total cost includes a $10 tax. What was the cost of each ticket, not including the tax?
Answer:
6
Step-by-step explanation:
19+22 =41256-10=246246-/41=6I hope this helps :)You have 125% of the tickets required for a souvenir. What fraction of the required tickets do you have? Do you need more tickets for the souvenir? Explain. Write your answer in simplest form.
Answer:
one and one fourth
Step-by-step explanation:
When testing a claim that the majority of adult Americans are against the death penalty for a person convicted of murder, a random sample of 491 adults is obtained, and 27% of them are against the death penalty (based on data from a Gallup poll). Find the P-value. Round to 4 decimals when necessary.
Using the z-distribution, it is found that the p-value is of 1.
At the null hypothesis, it is tested that the majority is not against the death penalty, that is:
[tex]H_0: p \neq 0.5[/tex]
At the alternative hypothesis, it is tested that the majority is against the death penalty, that is:
[tex]H_1: p > 0.5[/tex]
The test statistic is given by:
[tex]z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}[/tex]
In which:
[tex]\overline{p}[/tex] is the sample proportion. p is the proportion tested at the null hypothesis. n is the sample size.In this problem, the parameters are: [tex]\overline{p} = 0.27, p = 0.5, n = 491[/tex].
Then, the value of the test statistic is:
[tex]z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}[/tex]
[tex]z = \frac{0.27 - 0.5}{\sqrt{\frac{0.5(0.5)}{491}}}[/tex]
[tex]z = -10.19[/tex]
Using a z-distribution calculator, for a right-tailed test, as we are testing if the proportion is greater than a value, the p-value is of 1.
A similar problem is given at https://brainly.com/question/16313918
Please help me (It's for a really important grade)
Answer:
4/5
Step-by-step explanation:
Sin = Opposite / Hypotenuse
Note that hypotenuse = longest side
We want to find sinФ
The opposite side length of angle "Ф" has a length of 8 and the longest side or hypotenuse has a length of 10
So sinФ would equal 8/10 which can be simplified to 4/5
Which graph represents the function f(x) = −|x − 2| − 1?
Answer:
Graph C
Step-by-step explanation:
9,3,1, what is the sequence and what is it equal to?
Answer: the sequence is to divide by 3 and it gets smaller and smaller by dividing by three I don't think there is an end to it.
Step-by-step explanation:
9/3=3
3/3=1
1/3=1/3
1/3/3=1/9
1/9/3=1/27
1/27/3=1/81
and I think you know what I mean by now right?
2 (x + 4) = 2 (-8 - x) - 2x
Answer:
x = -4
Step-by-step explanation:
Simplifying
2[x + 4] = 2[-8 + -1x] + -2x
Reorder the terms:
2[4 + x] = 2[-8 + -1x] + -2x
[4 * 2 + x * 2] = 2[-8 + -1x] + -2x
[8 + 2x] = 2[-8 + -1x] + -2x
8 + 2x = [-8 * 2 + -1x * 2] + -2x
8 + 2x = [-16 + -2x] + -2x
Combine like terms: -2x + -2x = -4x
8 + 2x = -16 + -4x
Solving
8 + 2x = -16 + -4x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '4x' to each side of the equation.
8 + 2x + 4x = -16 + -4x + 4x
Combine like terms: 2x + 4x = 6x
8 + 6x = -16 + -4x + 4x
Combine like terms: -4x + 4x = 0
8 + 6x = -16 + 0
8 + 6x = -16
Add '-8' to each side of the equation.
8 + -8 + 6x = -16 + -8
Combine like terms: 8 + -8 = 0
0 + 6x = -16 + -8
6x = -16 + -8
Combine like terms: -16 + -8 = -24
6x = -24
Divide each side by '6'.
x = -4
Simplifying
x = -4
2( x + 4) = 2 (-8 -x) -2x
Use the distributive property to multiply 2 by x + 4.
2x + 8 = 2 (-8 -x) - 2x
Use the distributive property to multiply 2 by -8 -x.
2x + 8 = -16 -2x - 2x
Combine -2x and 2x to get -4x.
2x + 8 = -16 - 4x
Add 4x to both sides.
2x + 8 + 4x = -16
Combine 2x and 4x to get 6x.
6x + 8 = -16
Subtract 8 from both sides.
6x = -16 - 8
Subtract 8 from -16 to get -24.
6x = -24
Divide both sides from 6.
x = [tex]\frac{-24}{6}[/tex]
Divide by -24 by 6 to get -4.
x = -4.
Can you please help me with this question
Answer:
B
Step-by-step explanation:
The table that represents a function will have no x-values repeated.
A. 4 is repeated -- not a function
B. all x-values are unique -- this is a function
C. 2 is repeated -- not a function
D. 3 is repeated -- not a function
Can anybody help ASAP please?
Answer:
statement 1) similar because of the shape
theorem 2)n to m
b) statement 1)similar because of shape
2)the two are triangle but the position has been changed
Part G Compare this activity tracker & with the calorie calculator you used in part A. Imagine that a company hires you to make an online tool that uses the best features of each calculator to give users an accurate sense of their physical activity and energy expenditure. What features would you use from each calculator? How would your calculator work?
Answer:
The physical activity calculator helps calculate minutes of activity and breaks down the types of activities performed every week. The calorie calculator doesn’t keep track of all activities. However, it calculates calorie expenditure. A new calculator might be a combination of the two calculators. It’d be a two-step process. People would be able to enter their age, gender, weight, height, and any medical factors so that they can ensure that their calorie calculations are accurate. Then, they’d be able to track the calories expended each day for a week by adding their activities for the whole day, from sitting to exercising. This information would give them an accurate portrayal of calorie expenditure and estimated caloric requirement.
exact answer
Step-by-step explanation:
Answer:
by seeing how the things they are doing and effecting them and then calulating them to add them up so i can see the amount of thier activity caused them to decrease or increase themselfs
Step-by-step explanation:
own explaination just incase teacher does suspect the answer
to be copied :)
8a+3.28=46.28
solve for a please ik I already asked but I need to pass this test thank you :)
Answer:
A=5.375
Step-by-step explanation:
46.28-3.28= 43
43÷8= 5.375
I hope this helps
Please help with this !
Convert the given amount to the given unit.
3 miles; feet
Answer:
15840
Step-by-step explanation:
help? please and thanks
100 POINTS PLEASE HELP ME 100 POINTS (make fullscreen)
Answer:
1) 64, 2) 6, 3) 26, 4) 33Step-by-step explanation:
#1Sum of interior angles is 180
70 + 46 + x = 180116 + x = 180x = 64#2Sum of interior angles is 180
84 + 7x + 1 + 9x - 1 = 8416x + 84 = 18016x = 96x = 6#3Vertical angles are same, the sum of remaining angles is same for both triangles:
35 + 25 = 34 + x60 = 34 + xx = 60 - 34x = 26#4Exterior angle is same as the sum of non-adjacent interior angles:
5x - 7 + 6x + 3 = 8411x - 4 = 8411x = 88x = 8m∠G = 5x - 7 = 5*8 - 7 = 40 - 7 = 33identicalAnswer:
1) 64, 2) 6, 3) 26, 4) 33
Step-by-step explanation:
#1
Sum of interior angles is 180
70 + 46 + x = 180
116 + x = 180
x = 64
#2
Sum of interior angles is 180
84 + 7x + 1 + 9x - 1 = 84
16x + 84 = 180
16x = 96
x = 6
#3
Vertical angles are identical, the sum of remaining angles is the same for both triangles:
35 + 25 = 34 + x
60 = 34 + x
x = 60 - 34
x = 26
#4
The exterior angle is the same as the sum of non-adjacent interior angles:
5x - 7 + 6x + 3 = 84
11x - 4 = 84
11x = 88
x = 8
m∠G = 5x - 7 = 5*8 - 7 = 40 - 7 = 33
answer the ones you want to. At least answer one…
I have to do 2 pages of homework I need this done I have school tomorrow..
Have no idea how to do this. Please help I beg you.
Answer:
9. First Five terms
If n=0. Then,
[tex] \frac{4(0) - 5}{2}[/tex]
[tex] \frac{0 - 5}{2} = \frac{ - 5}{2} [/tex]
If n=1. Then,
[tex] \frac{4(1) - 5}{2} [/tex]
[tex] \frac{4 - 5}{2} = \frac{ - 1}{2} [/tex]
If n=2. Then,
[tex] \frac{4(2) - 5}{2} [/tex]
[tex] \frac{8 - 5}{2} = \frac{3}{2} [/tex]
If n=3. Then,
[tex] \frac{4(3) - 5}{2} [/tex]
[tex] \frac{12 - 5}{2} = \frac{7}{2} [/tex]
If n=4. Then,
[tex] \frac{4(4) - 5}{2} [/tex]
[tex] \frac{16 - 5}{2} = \frac{11}{2} [/tex]
If n=5. Then,
[tex] \frac{4(5) - 5}{2} [/tex]
[tex] \frac{20 - 5}{2} = \frac{15}{2} [/tex]
If n=6. Then,
[tex] \frac{4(6) - 5}{2} [/tex]
[tex] \frac{24 - 5}{2} = \frac{19}{2} [/tex]
A canoe rental service charges a $30 transportation fee and $15 an hour to
rent a canoe. Write and equation. How long was the canoe rented if a
customer paid $105?
Answer:
5 hours
Step-by-step explanation:
Your equation is 105 = 15x + 30 subtract 30 from both sides, then divide by 15 to get x = 5 hours.
Brainliest would be apprappreciated. :-)
perform the indicated operation 3 1/2 - 1 7/10
Answer: 1 4/5
Step-by-step explanation:
3 5/10 - 1 7/10 = 1 8/10
1 8/10 = 1 4/5
YES OR NOOO PLEASEE ANSWER
Answer:
Not a Function.... hope you pass!
You can retry this question below
The sum of two numbers is 71. The difference of the two numbers is 41. What are the two numbers.
Let x be the larger number and y be the smaller number.
Write an equation that expresses the information in the sentence "The sum of two numbers is 71."
Write an equation that expresses the information in the sentence "The difference of the two
numbers is 41."
Solve the system you have written above.
The larger number, x is
The smaller number, y is
Calculator
Answer:
x = 56
y = 15
Step-by-step explanation:
"The sum of two numbers is 71."
x + y = 71
"The difference of the two numbers is 41."
x - y = 41
Solve the system:
From the first eq.
x = 71 - y
Replacing this value in the second eq.
(71-y) - y = 41
71 - 2y = 41
71 - 41 = 2y
30 = 2y
y = 30/2
y = 15
From the second eq.
x - y = 41
x - 15 = 41
x = 41 + 15
x = 56
Check:
from the first eq.
x + y = 71
56 + 15 = 71
Which is greater? -4.84 or -8.48
Answer:
-4.84
Step-by-step explanation:
the -4.84 is closest to the positive side of a number line. meaning -4.84 is greater
Answer:
-4.84
Step-by-step explanation:
Becuase the smaller the minus number the greater Becuase its the reverse of positive numbers
please help asap !!
Solve the system of equations 2x + 3y = 40 and -2x + 2y = 20 A.x = 10 , y = 20 B. x=-10 , y = 20 C. x = -6 , y = 4 D. x = 2 , y = 12
Answer:
D is answer
Step-by-step explanation:
-2x + 2y = 20
2x = 40-3y
so -(40-3y)+2y =20
-40+3y+2y = 20
5y = 60
y = 12
2x = 40-3y
2x = 40-3(12)
2x = 40-36
2x = 4
x = 2
so x = 2 , y = 12
Mario Andretti drives his race car 500 miles in 2.5 hours. What is his speed?
Answer:
His speed was 200.
Step-by-step explanation:
500/2.5 is 200.
Answer:
The speed of Mario Andretti's race car is 200 m/h.
Step-by-step explanation:
Speed = Distance/Time=> Speed = 500 miles/2.5 hours=> Speed = 200 miles/1 hourConclusion:
Therefore, the speed of Mario Andretti's race car is 200 m/h.
Hoped this helped.
[tex]BrainiacUser1357[/tex]
I need to know this give me answer
Answer:the answer is b 10/21
Step-by-step explanation:
Answer:
B) 10/21
Step-by-step explanation:
Keep, change, flip
keep 2/7, change to multiply, flip to 5/3
2/7 x 5/3 = 10/21
Hope this helps! Pls give brainliest!
A virus attacked 175,245 people in city A and 1,486,964 people in city B. How many people in all were affected? Thank you in advance:)
1,662,209 is the answer. You just have to add them all up
Answer:
It's 1662209.
Step-by-step explanation:
just add them
I desperately need help !
Answer:
t = 9.57
Step-by-step explanation:
We can use trig functions to solve for the t
Recall the 3 main trig ratios
Sin = opposite / hypotenuse
Cos = adjacent / hypotenuse
Tan = opposite / adjacent.
( note hypotenuse = longest side , opposite = side opposite of angle and adjacent = other side )
We are given an angle as well as its opposite side length ( which has a measure of 18 ) and we need to find its adjacent "t"
When dealing with the opposite and adjacent we use trig ratio tan.
Tan = opp / adj
angle measure = 62 , opposite side length = 18 and adjacent = t
Tan(62) = 18/t
we now solve for t
Tan(62) = 18/t
multiply both sides by t
Tan(62)t = 18
divide both sides by tan(62)
t = 18/tan(62)
t = 9.57
And we are done!
Which of the following shows the less amount from the original value?
a. Gadget of 5000 with 5% discount price
b. Mr Smith bought a leather bag for £25 and sold it for £45.
c. A calculator marked £8.50 and Mr Smith pay 15% VAT for this item.
d. Mr Smith sold of £875 for furniture with a gain of 6%.
and explain why.
Answer:
A
Step-by-step explanation:
This is because it is discounting however in the others it's increasing VAT=Value added Tax,
gain, 45-25=£20 profit therefore it's A.
Answer:
Gadget of 5000 with 5% discount price
Step-by-step explanation:
This is the only option with a discount, not an additional extra on top.
