Answer:
The number of students in the key club is 490
Step-by-step explanation:
The given parameters are;
The number of student in the school = 1000
The total number of student in the debate club = 310
The total number of student in the student council = 650
The total number of student who are in debate and student council = 170
The total number of student who are in both debate and the key club = 150
The total number of student who are in both student council and the key club = 180
The number of students who are in all three clubs = 50
Therefore, we have;
Let A represent the number of students in the debate club
Let B represent the number of students in the student council
Let C represent the number of students in the key club
We have;
n(A∪B∪C) = n(A) + n(B) + n(C) - n(A∩B) - n(B∩C) - n(C∩A) + n(A∩B∩C)
Where;
n(A∪B∪C) = 1000
n(A) = 310
n(B) = 650
n(A∩B) = 170
n(B∩C) = 180
n(C∩A) = 150
n(A∩B∩C) = 50
Therefore;
n(C) = n(A∪B∪C) - (n(A) + n(B) - n(A∩B) - n(B∩C) - n(C∩A) + n(A∩B∩C))
Substituting the values gives;
n(C) = 1000 - (310 + 650 - 170 - 180 - 150 + 50) = 490
The number of students in the key club, n(C) = 490.
1) 30% of the 210 7th graders at CBJ said they were planning to leave town for
Spring Break. How many students are NOT planning on leaving town? *
Answer:
30% of 210 is 63
Step-by-step explanation:
Answer:
209.7
Step-by-step explanation: i dont know what ur really asking for which i understand all u have to do simplify the expressions
-4(-5x+6) in distributive property
Answer:
20x - 24
Step-by-step explanation:
-4(-5x + 6)
20x - 24
0.847 times 3.54
What does it equal
Answer: 2.99838 or rounding to nearest whole number it is 3
Step-by-step explanation:
The equation P=6s represents the perimeter P of a regular hexagon with side length s. What is the
perimeter of a regular hexagon with side length 2 mm?
The perimeter is
mm.
Answer:
The perimeter is 12mm
Step-by-step explanation:
Plug 2 for s in P=6s so 6*2=12
What distance would you travel in 2.5 hours if you are biking with the speed of 6.3 mph?
Answer:
15.75 milesStep-by-step explanation:
Step one:
given
time= 2.5 hours
speed= 6.3mph
Step two:
Required
Distance
we are given the speed in miles per hour, hence the distance will be in miles
we also know that the expression relating speed, distance and time is given as
speed= distance/time
thus
distance= speed*time
distance= 6.3*2.5
distance= 15.75 miles
By using expression for the speed, distance traveled by me in 2.5 hours will be
Given in the question,
Speed = 6.3 mphTime for travelling = 2.4 hoursExpression for the speed of an object is given by,
Speed = [tex]\frac{\text{Distance}}{\text{Time}}[/tex]
Therefore, Distance = Speed × Time
By substituting the values of speed and the time in the expression,
Distance traveled = 6.3 × 2.5
= 15.75 miles
Therefore, distance traveled by me in 2.5 hours will be 15.75 miles.
Learn more,
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, 80 POINTS Find k so that P(k,0) is equidistant from points A(1,2) and B(2,5).
ANSWER IN NEXT 20 MIN
Answer:
P(1.5, 3.5)
Step-by-step explanation:
We need to find the average of the x and y coordinates. We do this by adding the two values, then dividing by two:
P(x1 + x2/ 2, y1 + y2/2) = P(1 + 2/ 2, 2 + 5/ 2) = P(3/2, 7/2) = P(1.5, 3.5)
These are our coordinates!
Need help.
plz show steps
Answer:
-4
Step-by-step explanation:
(-3/2)x-9=-27 solve for x
Answer:
x=12
Step-by-step explanation:
-3/2x-9=-27
-3/2x=-18
2/-3*-3/2x=-18*2/-3
x=12
PLEASE HELP! Please answer properly. Also don't just multiply the numbers together. I'm supposed to show how I factored it then solved it. Please explain. Can be short explanation.
Answer:
999975
Step-by-step explanation:
that`s what i got
identify 2 pairs of angles of the given type.
plsss HELP!!!!!!
Answer:
It is (2,4) Plz mark brainliest
Step-by-step explanation:
Luke puts $500 into a savings account that earns 6% simple interest each year. How much money will be in the account after 3 years
Answer:
= $90
Step-by-step explanation:
I = prt
I = 500 x 0.06 x 3
I = $90
9514 1404 393
Answer:
$590
Step-by-step explanation:
The account balance is given by ...
A = P(1 +rt) . . . . simple interest rate r for t years
A = $500(1 +0.06×3) = $590
There will be $590 in the account after 3 years.
у=х+ 1
2x+3y= 5
HELP ME
Answer:
x=2/5
Step-by-step explanation:
2x+3(x+1)=5
2X+3X+3=5
5x+3=5
5x=2
x=2/5
Horatio's haunted house
Help me
Help Me
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If you do I will give you Ten RaMeN NoOdLe bOwLs at Ichiraku Ramen
Its the Best In The Hidden Leaf Village! Believe It!
(Answer All.. be Fast I might eat the noodles)
Answer:
GIVE ME MY RAMEN
Step-by-step explanation:
3.
add like terms
30 + 7k = 100
100-30 = 70
70 divided by 7k = 10
k = 10
4. add the z's together
2z - 6 -2 = -10
+ 6 + 2
-10 will be -2 now since we dragged the -6 and -2 to the other side
2z = -2
z = -1
5. 3.2x - 1.7x = 1.5x
1.5x + 5.5 = 10
10 would be 4.5 since we dragged 5.5 to the other side so it would be 10 - 5.5
3.2x = 5.5
x = 1.71875
6.
3/4x - 1/4x = 2/4x
14 - 3 = 11
2/4x = 11
x = 22
If I need 5 eggs to make 30 biscuits, how many eggs will I need to make 90 biscuits?
Answer:
15!!!!is the answer.....
What’s the 84th term of the arithmetic sequence -5, 15, 35
Answer:
a₈₄ = 1655Step-by-step explanation:
15-(-5) = 20 and 35-15=20 so d=20
[tex]a_n=a_1+d(n-1)\\\\a_1=-5\\d=20\\\\a_{84}=-5+20(84-1)=-5+20\cdot83=-5+1660=1655[/tex]
If k(x) = 2x² -3.Vx, then k(9) is
Answer:
159
Step-by-step explanation:
k (9) = (2 * [tex]9^{2}[/tex]) - 3
= (2 * 81) - 3
= 162 - 3
= 159
A salesperson works 40 hours per week at a job where she has two options for being paid. Option A is an hourly wage of $26. Option B is a commission rate of 10% on weekly sales. How much does she need to sell this week to earn the same amount with the two options?
Step-by-step explanation:
12,500.
Step-by-step explanation:
We have been given that a salesperson works 40 hours per week at a job where he has two options for being paid. Option A is an hourly wage of $25. Option B is a commission rate of 8% on weekly sales.
First of all we will find amount earned by salesperson with option A.
\text{Option A earnings}=40\times 25=1000Option A earnings=40×25=1000
The salespersons earns $1000 through option A.
Let x be the amount of weekly sales.
8% of x should be equal to 1000 for salesman to earn the same amount with the two options.
\frac{8}{100}x=1000
100
8
x=1000
0.08 x=10000.08x=1000
x=\frac{1000}{0.08}x=
0.08
1000
x=12500x=12500
Therefore, the salesman needs to make a weekly sales of $12,500 to earn the same amount with two options.
i will give u brainliest
Answer:
121
Step-by-step explanation:
gimme Brainliest
For the function f(x) =
= X + 5, what is the ordered pair for the point on the graph
when x = 4?
Answer:
F=9
Step-by-step explanation:
Write in expanded form the 3-digit number that has 5 tens, m units, and 2 more hundreds than units.
Step-by-step explanation:
We know that the number written as sum of the place-values of its digits is called the expanded form of a number.
We know that the number written as sum of the place-values of its digits is called the expanded form of a number.Standard Form
We know that the number written as sum of the place-values of its digits is called the expanded form of a number.Standard FormExpanded Form
We know that the number written as sum of the place-values of its digits is called the expanded form of a number.Standard FormExpanded Form20,37,81,405
We know that the number written as sum of the place-values of its digits is called the expanded form of a number.Standard FormExpanded Form20,37,81,405=
We know that the number written as sum of the place-values of its digits is called the expanded form of a number.Standard FormExpanded Form20,37,81,405=20,00,00,000 + 0 + 30,00,000 + 7,00,000 + 80,000 + 1,000 + 400 + 0 + 5
Answer:
2x100+mx100+5x10+mx1
Step-by-step explanation:
This is correct. TRUST ME!! pls if wrong.
A missile is launched along a path determined by the function below, where f(x) is the height of the missile in feet x seconds after the launch.
A plane is flying nearby at a height of 650 feet.
Is the plane in danger of being hit by the missile?
Why or why not?
f(x)=-2x^2+72x
Answer:
The plane will be fine.
Step-by-step explanation:
[tex]f(x) =-2x^{2}+72x\\650=-2x^{2}+72x\\2x^{2}-72x+650=0\\[/tex]
There are no real solutions.
Here is a system of equations:
-7x + 3y = -65
-7x + 10y = -135
Write an equation that results from subtracting the two equations.
Answer:
y = -10
Step-by-step explanation:
(-7x+3y) - (-7x +10y) =-65 -(-135)
-7x + 3y + 7x -10y = 70
-7y = 70
y = -10
The equation that results from subtracting - 7x + 3y = - 65 and
- 7x + 10y = - 135 is 7y = - 70.
What are simultaneous equations?We know two simultaneous equations have a unique solution when they intersect at a point,
when they are parallel they have no solution and when they are coinciding they have an infinite no. of solutions.
Given, a system of equations - 7x + 3y = - 65 and - 7x + 10y = - 135.
Subtracting the first equation from the second we get,
- 7x + 10y = - 135
(-) - 7x + 3y = - 65
_________________
Negative sign gets distributed
- 7x + 10y = - 135
+ 7x - 3y = + 65
_________________
7y = - 70
y = - 70/7
y = - 10.
So, the value of x is -7x +10×(-10) = - 135.
- 7x - 100 = - 135.
- 7x = - 135 + 100.
- 7x = - 35.
x = 7.
learn more about the system of equations here :
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PLZZZZZ HELPPPP!!!! I NEED YOU RIGHT NOWSSSSSS
Answer:
its parallel!!!!!
its parallel because they have different slopes!!!
Find the value of 5^4 * 5 ^3 *
Calculate the new perimeter using a scale factor of 1/4
I will give brainliest if right!
Answer:
22.5
Step-by-step explanation:
what is rounded to the nerest tenth in 3.2649
Answer:
3.3
Step-by-step explanation:
The .2 is the tenths place, so you use the hundredths place (the 6A) to turn the .2 into a .3
Answer:
3.3
Step-by-step explanation:
$132.75 discounted 40%
Answer:
$79.65
Step-by-step explanation:
Answer:
$79.65
Step-by-step explanation:
Discount: $53.10
Final Price: $79.65
Anu has 9 problems to solve for his
math homework. He has solved 2/3
of the problems already. How
many of his problems has he
solved?
9514 1404 393
Answer:
6
Step-by-step explanation:
2/3 of 9 is ...
(2/3)×9 = 18/3 = 6
Anu has solved 6 of his problems.
A 12 fl. oz. bottle of shampoo costs $1.08 at Costco. A 20 fl. oz. Bottle of the same shampoo costs $2.20 at Wal-Mart. Which store has the better buy?
9514 1404 393
Answer:
Costco
Step-by-step explanation:
2 bottles at Costco give you 24 oz of shampoo for the price of $2.08, which is less than Wal-Mart's price of $2.20 for fewer ounces.
Costco has the better buy.