A survey asked students whether they would like a drama club, a step team, both clubs, or neither club. The results are below:
1. 34 students like a drama club
2. 27 students like step team
3. 14 students like both
4. 13 students like neither
Answers
Hi, you've asked an incomplete question. Here are the remaining questions:
a) Describe what each region in the Venn diagram represents.
Region I: In drama club, not in step team.
Region II: In both clubs.
Region III: In step team not in drama.
Region IV: Not in either club.
b) How many students were in only one of the two clubs?
c) How many students were in the drama club or in the step team?
d) How many students were surveyed?
Attached is the Venn diagram depicting the regions.
Explanation:
b) By adding the number of students that like drama club and those that like step club we can derive the answer: 34 + 27 = 61.
c) By adding 34 + 27 + those that like both (14) = 75.
d) The total number of students surveyed is gotten by summing any number in attached the diagram: 34 + 27 + 14 + 13 = 88.
Related Questions
A table showing Number, Value, and Total Value. The first row shows Pennies, with the entries, p, 0.01, and 0.01 p. The second row shows Nickels, with the entries, 22 minus p, 0.05, and 0.05 left parenthesis 22 minus p right-parenthesis. 0.01p + 0.05(22 – p) = 0.54 Ari has a total of 22 coins consisting of pennies and nickels. The total value of the coins is $0.54. How many of each type of coin does Ari have? pennies and nickels
Answers
14 pennies and 8 nickles
i hope this helps
Answer:
0.01p + 0.05(22 – p) = 0.54
(-7)(5) =
Answers
Answer:
-35 is the correct answer
Answer:
-35
Step-by-step explanation:
The answer is -35
-7 × 5 = -35
what is..
y=4/3x-2 and y=-2/3x-8
Answers
8. Dai is comparing how many trading cards he has with his friend Maura. Initially, they find that Dai has four
more cards than twice the number that Maura has.
(a) If the number of cards Maura initially has is represented by n, then write an expression for the number of
cards that Dai initially has.
(b) If Dai must give Maura 8 cards so that they have the same amount, set up and solve an equation to
determine the number of cards Maura initially had.
Answers
Answer:
2n + 4
n = 12
Step-by-step explanation:
Given that :
Initial :
Dai has four more cards than twice the number that Maura has.
Maura's initial card = n
Dai's initial card = 2n + 4
B.)
If Dai must give Maura 8 cards, so they have equal amount
Dai's initial card - 8 = Maura's initial card + 8
2n + 4 - 8 = n + 8
2n - 4 = n + 8
2n - n = 8 + 4
n = 12
Solve using
elimination
X- 2y = 3
3x - y = 2
Answers
Answer: x = 1/5 and y= -7/5
Step-by-step explanation: Let's solve your system by elimination.
Multiply the first equation by -3,and multiply the second equation by 1.
-3 (x - 2y = 3)
1 (3x - y = 2)
Becomes:
-3x + 6y = -9
3x -y = 2
Add these equations to eliminate x:
5y = -7
Then solve 5y = -7
5y/7 = -7/5
y = -7/5
Now that we‘ve found y, let’s plug it back in and solve for x.
Write down an original equation:
x - 2y = 3
Substitute -7/5 for y in x - 2y = 3:x - 2 (-7/5) = 3x + 14/5 = 3x 14/5 + -14/5 = 3 + -14/5 (Add (-14)/5 to both sides)x = 1/5Answer: x = 1/5 and y = -7/5Solve: 32 = y + 12.4 y = _____ & explain
Answers
Answer:
y=19.6
Step-by-step explanation:
Answer:
to get y you subtract 12.4 from both side and that is your answer.
Step-by-step explanation:
19.6 hope it correct mark brainliest if so thank u have an nice day
Mr James has coffee worth $400/kg that he wishes to mix with 20kg of coffee worth $700/kg to get a mixture that can be sold for $500/kg. How many kg of the cheaper coffee beans should he use?
Answers
Answer:
11.3kg
Step-by-step explanation:
if 700=20
therefore 400=400*20÷700=11.3
please help me. my mom got mad at me cause I don't know anything in Pre Cal. (what I am in)
Answers
a. 4^2 + b^2 = 8^2
16 + b^2 = 64
b^2 = 48
Missing term for A = 6.93 m
Now try B for yourself
At Paulson Middle School, 75% of the sixth grade class is making a B or higher. If there are
24 students in the sixth grade class, then how many are making a B or higher?
25%
Are we Looking FOR THE PART OR THE WHOLE?
Answers
Answer:
18 students are making a B or higher
Step-by-step explanation:
24 * 75% = 18
Answer:
we are looking for the part
Write two number that multiply to the value on to and add to the value on bottom
Answers
HELP ASAP!!!
Which of the following expressions is equal to
-5 for some value of x?
A) |x - 6| + 2
B) |x - 2|-6
C) |x+2|+6
D) |x + 6|-2
Answers
===========================================================
Explanation:
Recall that for y = a| x-h | + k, the vertex is (h,k).
Since all of the answer choices have a > 0, this means all of the vertexes are the lowest point for each absolute value graph.
Consequently it tells us the lowest possible y value.
For choice A, the smallest y output possible is y = 2For choice B, it would be y = -6For choice C, y = 6 is the lowestAnd choice D says y = -2 is the lowest y valueChoices A, C and D indicate that getting y = -5 is impossible. For instance, if y = 2 is the smallest, then there's no way to get y = -5. I recommend making a number line.
The only thing left is choice B. If we plug in y = -5 then we get...
y = |x-2| - 6
-5 = |x-2| - 6
-5+6 = |x-2|
|x-2| = 1
x-2 = 1 or x-2 = -1
x = 1+2 or x = -1+2
x = 3 or x = 1
Plugging either of those x values into y = |x-2| - 6 leads to y = -5
You could try solving something like -5 = |x-6| + 2 for x, but you'll find that it has no solutions.
As another alternative, you can graph each answer choice. Then see which one intersects the horizontal line y = -5. You should see that only y = |x-2| - 6 does so.
Evaluate each expression.
7) (-7) + (-10) – 5 +2 8) (-9) + 4 + (-8) – (-7)
8) (-6) – (2 x 4) – (-1) 10) (-8) + (-4 ÷ -4) – 8
Answers
Answer:
Please check the explanation.
Step-by-step explanation:
Solving the expressions
7)
given the expression
[tex]\left(-7\right)+\:\left(-10\right)\:-\:5\:+2[/tex]
[tex]\mathrm{Follow\:the\:PEMDAS\:order\:of\:operations}[/tex][tex]\mathrm{Add\:and\:subtract\:\left(left\:to\:right\right)}\:\:[/tex][tex]\mathrm{Apply\:rule\:}+\left(-a\right)\:=\:-a[/tex]so
[tex]=\left(-7\right)-10-5+2[/tex]
[tex]=-17-5+2[/tex]
[tex]=-22+2[/tex]
[tex]=-20[/tex]
8)
[tex]\left(-9\right)+4+\left(-8\right)-\left(-7\right)[/tex]
[tex]\mathrm{Follow\:the\:PEMDAS\:order\:of\:operations}[/tex][tex]\mathrm{Add\:and\:subtract\:\left(left\:to\:right\right)}\:\:[/tex][tex]\mathrm{Apply\:rule\:}+\left(-a\right)\:=\:-a[/tex]so
[tex]=-5+\left(-8\right)-\left(-7\right)[/tex]
[tex]=-5-8-\left(-7\right)[/tex]
[tex]=-13-\left(-7\right)[/tex]
[tex]=-13+7[/tex]
[tex]=-6[/tex]
9)
[tex]\left(-6\right)\:-\:\left(2\:\times \:4\right)\:-\:\left(-1\right)\:[/tex]
[tex]\mathrm{Follow\:the\:PEMDAS\:order\:of\:operations}[/tex][tex]\mathrm{Add\:and\:subtract\:\left(left\:to\:right\right)}\:\:[/tex]so
[tex]\left(-6\right)-\left(2\times \:4\right)-\left(-1\right)[/tex]
Calculate within parentheses
[tex]=\left(-6\right)-8-\left(-1\right)[/tex]
[tex]=-14-\left(-1\right)[/tex]
[tex]=-14+1[/tex]
[tex]=-13[/tex]
10)
[tex]\left(-8\right)\:+\:\left(-4\:\div \:-4\right)\:-\:8[/tex]
solving
[tex]\left(-8\right)+\left(-\frac{4}{-4}\right)-8[/tex]
[tex]\mathrm{Remove\:parentheses}:\quad \left(-a\right)=-a[/tex]
[tex]=-8-\frac{4}{-4}-8[/tex]
[tex]=-8-\left(-1\right)-8[/tex]
[tex]\mathrm{Apply\:rule}\:-\left(-a\right)=a[/tex]
[tex]=-8+1-8[/tex]
[tex]\mathrm{Add/Subtract\:the\:numbers:}\:-8+1-8=-15[/tex]
[tex]=-15[/tex]
The value of the given expression 7) (-7) + (-10) – 5 +2 is -20, 8) (-9) + 4 + (-8) – (-7) is -6, 9) (-6) – (2 x 4) – (-1) is -11, 10) (-8) + (-4 ÷ -4) – 8 is -15.
What is BODMAS rule?BODMAS stands for B- bracket, O- order, D-division, M-multiplication, A- addition, S- subtraction. We use this rule when there is more than one operation are present in the mathematical expression.
7) (-7) + (-10) – 5 +2
here, we will use the BODMAS rule, the addition and subtraction will go from left to right.
= -7 -10 -5 + 2
= -17 -5 + 2
= -22 + 2
= -20
8) (-9) + 4 + (-8) – (-7)
= -9 +4 -8 +7
= -5 -8 +7
= -13 + 7
= -6
9) (-6) – (2 x 4) – (-1)
= -6 - 8 +1
= -12 + 1
= -11
10) (-8) + (-4 ÷ -4) – 8
= -8 -4/ (-4) - 8
= -8 +1 -8
= -7 -8
= -15
Therefore, the value of the given expression 7) (-7) + (-10) – 5 +2 is -20, 8) (-9) + 4 + (-8) – (-7) is -6, 9) (-6) – (2 x 4) – (-1) is -11, 10) (-8) + (-4 ÷ -4) – 8 is -15.
Learn more about the BODMAS rule here:
https://brainly.com/question/24383445
Factor the polynomial function p(x) = x3 – 2x2 - 4x2 + 8x.
Answers
Answer: p=x2−6x+8
Step-by-step explanation:
hope this answer helps
Answer: x(x-4)(x-2)
Step-by-step explanation:
There are 4 consecutive odd integers that have a sum of 248. What is the greatest of these integers?
Answers
Answer:
63.5
Step-by-step explanation:
248/4=62
the numbers are
60.5, 61.5, 62.5, 63.5
a pump fills a pool at a constant rate at the end of 9 minutes it has filled 1 gallon of water which table represents the relationship between the number of minutes and the number of gallons of water in the pool
Answers
Answer:
D
Step-by-step explanation:
The rate at which the pool is filled is 1 gallon per 9 minutes. If you divide all the numbers of minutes in the left side of the table with the number of gallons on the right you get 9 minutes per gallon for each of them so they follow the rate.
Solve each equation. a. ( − 6)( x+ 5) = 0
Answers
Answer:
x = -5
Step-by-step explanation:
divide both side by -6 (-6/6) (5/-6)
x + 5 = 0
move constant to the right side and change it sign
x = -5
Which equation represents a line which is perpendicular to the line y = 6/7x –4?
Answers
Answer:
any line with the same slope but different y intercept
Step-by-step explanation:
Answer:
7x+6y=18
Step-by-step explanation:
if m< 3=74 find each measure
Answers
Answer:
for you
Step-by-step explanation:
someone help :( 3333333
Answers
Answer:
5 feet
mark above answer BRILLIANT
The figures are similar. Find the missing length.
Answers
6/4.5 = x/6
looking for an answer ty
18 / (-3) + 4
Answers
Answer:
-2
Step-by-step explanation:
First divide 18/-3 = -6
Then add 4 to -6
Answer is -2
Find three consecutive integers such
that the sum of the first and the
second integer is three more than the
third integer.
Answers
9514 1404 393
Answer:
4, 5, 6
Step-by-step explanation:
Let x represent the middle one. Then the sum of the first two is ...
(x -1) +x
And we want that to be 3 more than the third:
(x -1) +x = (x +1) +3
2x = x +5 . . . . . . . . . add 1, simplify
x = 5 . . . . . . . . . . . . . subtract x
Since 5 is the middle integer, the three integers are ...
4, 5, 6
A cylindrical syringe has a height of 6.8 cm and a diameter of 2.37 cm is going to be
used to fill a half sphere (semi sphere) with a circumference of 31.4 cm. How many
syringes filled with water would be needed to fill the semi-sphere?
6.8 cm
Answers
Answer:
The number of syringe filled with water that would be needed to fill the semi-sphere is approximately 8.714 syringes
Step-by-step explanation:
The height of the syringe = 6.8 cm
The diameter of the syringe = 2.37 cm
The circumference of the hemisphere = 31.4 cm
Let r represent the radius of the hemisphere, we have;
2·π·r = 31.4 cm
r = 31.4/(2 × π) ≈ 4.9975 cm
The volume of the hemisphere = 2/3 × π × r³ = 2/3 × π × (31.4/(2 × π))³ ≈ 261.4 cm³
The volume of the syringe = π × d²/4 × h = π × 2.37²/4 × 6.8 ≈ 29.998 cm³
The number of syringe filled with water that would be needed to fill the semi-sphere = (The volume of the hemisphere)/(The volume of the syringe)
Therefore;
The number of syringe filled with water that would be needed to fill the semi-sphere = 261.4 cm³/(29.998 cm³) ≈ 8.714 syringes.
Which statement describes the graphs of y = −x + 3 and y = −x + 6?
A. They intersect at point (3, 6).
B. They are parallel.
C. They are perpendicular.
D. They intersect at point (6, 3).
Answers
its d i did this before its easy
The statement which describes the graphs of y = −x + 3 and y = −x + 6 is; Choice B: They are parallel.
By comparison with the slope-intercept form of a linear equation;
y = mx + cWhere, m = slope and c = y-intercept.
We can conclude that, the slope, m of both equations given is, -1.
And from straight line geometry; We recall that;
Parallel lines have equal slope.Read more on parallel line slopes:
https://brainly.com/question/10790818
please help me pls and ty
Answers
But here are the following:
B) C and F are pairs. That is -4 and 4
D) A and H are pairs. That is -8 and 8
Hope this helps!
Solve the right triangle shown in the figure. (Round your answers to two decimal places.)
Answers
Answer:
Step-by-step explanation:
sin A = [tex]\frac{a}{c}[/tex]
sin 9.4° = [tex]\frac{20.5}{c}[/tex] ⇒ c = (20.5) / (sin 9.4°) ≈ 125.52
tan A = [tex]\frac{a}{b}[/tex]
tan 9.4° = [tex]\frac{20.5}{b}[/tex] ⇒ b = (20.5) / (tan9.4°) ≈ 123.83
m∠B = 90° - 9.4° = 80.6°
m∠C = 90°
Ms. Chibbaro asked her students to find an expression equivalent to 7 - 3(4 - 2x) - 10x Jon had the work shown to the Left on his paper. One step in Jon's wok is incorrect. Find and explain the error. Then write your own expression equivalent to the one given by Ms. Chibbaro.
Answers
Answer:
[tex]-15 + 6x[/tex]
Step-by-step explanation:
Given
[tex]Expression: 7 - 3(4 - 2x) - 10x[/tex]
Required
Determine Jon's error and make corrections.
Also, give the equivalent of the expression
The question has missing details because Jon's workings is not listed.
One mistake student's make during multiplications that involves minus (-) and plus (+) is in the signs.
So, watch out for the signs to know where the error is.
However, I'll give an equivalent of the given expression
[tex]7 - 3(4 - 2x) - 10x[/tex]
Open Bracket
[tex]7 - 12 + 6x - 10[/tex]
Collect Like Terms
[tex]7 - 12 - 10 + 6x[/tex]
[tex]-15 + 6x[/tex]
Hence, the given expression is equivalent to [tex]-15 + 6x[/tex]
3х + 9
Please help me
Answers
There is no answer to this problem.
p=m+x² (make x the subject)
Answers
Answer:
See below
Step-by-step explanation:
[tex]p = m + {x}^{2} \\ \\ p - m = {x}^{2} \\ \\ {x}^{2} = p - m \\ \\ x = \pm \sqrt{p - m} \\ [/tex]
Someone please help me with this
Answers
I’m not sure if this is correct but I hope this helps✨❤️