There are 37 students participating in an after-school program offering classes in yoga, bridge, and painting. Each student must take at least one of these three classes, but may take two or all three. There are 12 students taking yoga, 18 taking bridge, and 19 taking painting. There are 9 students taking at least two classes. How many students are taking all three classes

Answers

Answer 1

Answer: 3 students

Step-by-step explanation:

You can solve this using the expression;

Total = A + B + C - Both - all - neither

Where A, B and C represent those taking one class

As each student must take at least 1 class, there is no 'neither'.

37 = 12 + 18 + 19 - 9 - All

37 = 40 - All

All = 40 - 37

All = 3

Answer 2

Answer:

3

Step-by-step explanation:

I added the number of students enrolled in each class. It equaled 49.

I subtracted the number of students from that amount

49-37= 12

I subtracted the number of students enrolled in two or more classes

12-9= 3

3 are enrolled in 3 classes


Related Questions

please find what number x is

Answers

Step-by-step explanation:

Hey there!

Given;

The triangle is a right angled triangle, whose one side is 26 and another side is X. It has also one angle that is 41°.

Now, taking reference angle as angle 41°. We get;

Perpendicular= 26

Base = X

and Reference angle = 41°.

We know that the ratio of tan is p/b. So, let's use this ratio.

[tex] \tan(41°) = \frac{26}{x} [/tex]

[tex]0.869 \times x = 26[/tex]

[tex]x = \frac{26}{0.869} [/tex]

Therefore, The value of x is 29.90.

Hope it helps...

11. Show the following operation on a number line
(-7) + (-2) + (+6)​

Answers

Hi

-7 - 2 + 6 = -9 + 6 = 6 - 9 = - 3

have a good day ;)

Is the Point on the Line?

Answers

Answer:

yes.

Step-by-step explanation:

The eqation of the line is y=1/2x+3 so when we plug in x as 20 y is equal to 13

Answer:

Yes it is on the line becuase if you find the slope of the line which is 1/2. We can just use rise over run from there. So we know 1 is y and 2 is x Becuase slope is written in y/x. And we can fins slope by just calculating the rise over run or suing the formula y2-y1/x2-x1. So the last pont shown on the line is (10,8) so we can add 1 to the y or in this case 8 and add 2 to the x or in this case 10. You’ll get (12,9). We know this works becuase if you find the slope of (12,9) and (10, 8), you’ll get 1/2 again which is the same slope so we know it’s right. Now we just add using the same slope to the now new point. We add 1 to 9 and add 2 to 12. (14,10). Still, if you find the slope, it’ll still be 1/2. Now keep repeating that and you’ll get (20, 13) eventually. And we can check by calculating the slope. (20,13) and (10,8), you could use any point on the coordinate plane/ and you’ll get 1/2. A easier way could just be calculating the slope first and you’ll get 1/2 from any two points and then use any two points to calculate the slope for (20,13). It’ll still be the same thing.

plzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz

Answers

Answer:

2x + 7y and 7g + 3h

Step-by-step explanation:

(a)

3x + 5y - x + 2y ← collect like terms

= (3x - x) + (5y + 2y)

= 2x + 7y

(b)

3g + 5h + 4g - 2h ← collect like terms

= (3g + 4g) + (5h - 2h)

= 7g + 3h

Answer:

A) 2x + 7y

B) 7g + 3h

Step-by-step explanation:

A)   3x + 5y - x +2y =  

      3x - x = 2x

      5y + 2y = 7y                ans:   2x + 7y

B)   3g + 5h +4g - 2h =

     3g + 4g = 7g

     5h - 2h  = 3h                ans:   7g + 3h

Find the zeros
f(x)=(x+3)( x-2)
g(x)=(2x-3)(x+4)
h(x)=(-2x+4)(x+1)
P(x)=3(x+3)(2x-1)

Answers

Answer:10

Step-by-step explanation:

I think of a number. When I add 12 and subtract 8, I get
15. What is that number?

Answers

Answer:

11?

Step-by-step explanation:

Hope I'm right! (:

Answer:

11

Step-by-step explanation:

15 + 8 = 23

23 - 12 = 11

hope it's right

What is equivalent expression to 2a

Answers

Answer:

2a

Step-by-step explanation:

up at the top is the answer

9. What is the value to x in the inequality -4(6 + 5x) - 7 < - 9(2x+ 3)

Answers

Answer:

x [tex]\geq[/tex] -2

Step-by-step explanation:

Remove parentheses and distribute -4 and -9, calculate the difference,  move the variable and constant,  collect like terms. ( -2x [tex]\leq[/tex] 4), and divide both sides, and you'll end with -2.

Answer:

x > -2 (last choice)

Step-by-step explanation:

Using the distributive property multiple -4 to both integers

-24 - 20x - 7 < -18x - 27

-31 - 20x < -18x - 27

Add 27 on both sides

-4 - 20x < -18x

Add 20x on both sides

-4 < 2x

Divide each side by 2

x > -2

Please Answer

This is due by tomorrow night and I need help

Answers

Answer:

AY = 16

IY = 9

FG = 30

PA = 24

Step-by-step explanation:

The centroid of the triangle divides each median at the ratio 1: 2 from the base

Let us solve the problem

In Δ AFT

Y is the centroid

∵ AP, TI, and FG are medians

→ By using the rule above

Y divides AP at ratio 1: 2 from the base FT

AY = 2 YP

∵ YP = 8

∴ AY = 2(8)

AY = 16

∵ PA = AY + YP

∴ AP = 16 + 8

AP = 24

Y divides TI at ratio 1: 2 from the base FA

TY = 2 IY

∵ TY = 18

∴ 18 = 2

→ Divide both sides by 2

∴ 9 = IY

IY = 9

Y divides FG at ratio 1:2 from the base AT

FY = 2 YG

∵ FY = 20

∴ 20 = 2 YG

→ Divide both sides by 2

∴ 10 = YG

∴ YG = 10

∵ FG = YG + FY

∴ FG = 10 + 20

FG = 30

Help? I'm in Algebra and I'm the most unintelligent person that you can know and please comprehend that

Answers

9515 1404 393

Answer:

  2×5×11 = 110

Step-by-step explanation:

The factors are separated by the × (multiplication) sign. Common factors are numbers that are factors of both products.

It can be useful to list the factors in order of size, for easier comparison.

1st product:

  2 × 3² × 5² × 11 × 17

2nd product:

  2 × 5 × 7 × 11² × 13²

Ignoring exponents (for the moment), the numbers that appear in both products are 2, 5, 11. (I've highlighted them so you can see them more easily.)

Now, we consider the exponents. We want to determine the lowest exponent of each of these factors.

2 has the same exponent in both products: 1

5 has exponents of 2 and 1. The least of these is 1.

11 has exponents of 1 and 2. The least of these is 1.

So, the greatest common factor (GCF) is ...

  2¹ × 5¹ × 11¹ = 2×5×11 = 110 . . . . greatest common factor

(Comment on answer format: the given numbers are shown as a product of factors. It is not clear whether the desired answer format should match, or should have the value multiplied out. We have shown both ways.)

_____

Check

If we factor out the "greatest common factor," the given products can be written as ...

  (2×5×11) × (3² × 5 × 17)

  (2×5×11) × (7 × 11 × 13²)

You will notice that the right factors of each of these products have nothing in common. So, we have found the greatest common factor.

An artist painted 3/5 of a portrait in 20 minutes. If she continues working at the same rate, how many portraits will she paint in one hour?

Answers

Answer:

one and four fifths 1 4/5-

Step-by-step explanation:

i multipled 3/5 by 3 cause 20 times 3 is 60

Write an equation of the line in slope-intercept form given the slope is 2 and the y-intercept is -5.


Answers

Answer:

y=2x-5

Step-by-step explanation:

Credit card A has an APR of 27.2% and an annual fee of $96, while credit card B has an APR of 30.3% and no annual fee. All else being equal, which of these equations can be used to solve the principal P for which the cards offer the same deal over the course of a year

Answers

Answer: D. P * (1 + 0.272/12)¹² + 96 = P * (1 + 0.303/12)¹²

Step-by-step explanation:

Credit Card A deal over the course of a year:

Payments are done per month so values need to be converted to monthly figures.

APR per month = 27.2%/12

Period = 1 year * 12 months = 12

= P * (1 + 27.2%/12)¹² + 96

Credit Card B deal over a year

= P * (1 + 30.3%/12)¹²

The Principal that will enable both cards to offer the same deal will therefore be:

P * (1 + 27.2%/12)¹² + 96 = P * (1 + 30.3%/12)¹²

The Crazy 80s Baby Jr. Decides to make a Crazy Cake for dessert. The cake uses eggs and potatoes in a ratio of 2:5. If she uses 6 eggs, how many potatoes will she need?

Answers

Answer:

When

eggs = 6, Potatoes = 15

Step-by-step explanation:

Ratio of egg to potatoes

Egg : potatoes

2 : 5

If she uses 6 eggs, how many potatoes will she need?

Eggs = 6

Potatoes = x

2 : 5 = 6 : x

2 / 5 = 6 / x

Cross product

2 * x = 5 * 6

2x = 30

x = 30 / 2

x = 15

When

eggs = 6, Potatoes = 15

What is the measure of an interior angle of a regular 99-gon?

Answers

Answer:

17460°

I hope it will be useful.

Let x represents a length in cm where x > 1.5.
AB = 2x - 3, BC = 4x – 6,
AD = 2x + 3 and BE = 4x +1
• ABC is right triangle of area Sı.
. CBFG is a rectangle of area S2.
• ADEB is a right trapezoid of area S3.
1) Express S1, S2 and S3 in terms of x.
2) Let S = S1 + S2 -S3.​

Answers

Answer:

1) S1 = 4·x² - 12·x + 9

S2 = 12·x² - 26·x + 12

S3 = 6·x² - 5·x - 6

2) S = 10·x² - 33·x + 27

Step-by-step explanation:

The length x in cm > 1.5

Segment AB = 2·x - 3, segment BC = 4·x - 6, segment AD = 2·x + 3 and segment BE = 4·x + 1

1) a) The area of the right triangle ABC = S1 = 1/2 × Base × Height

The base of the triangle ABC = Segment BC = 4·x - 6

The height of the triangle ABC = Segment AB = 2·x - 3

Therefore, The area of the triangle ABC = S1 = 1/2 × (4·x - 6) × (2·x - 3) = 1/2 × (8·x² - 12·x - 12·x + 18) = 4·x² - 12·x + 9

S1 = 4·x² - 12·x + 9

b) The area of the rectangle CBFG = S2 = Base × Height

The base of the rectangle CBFG = BC = 4·x - 6

The height of the rectangle CBFG = BF = 3·x - 2

The area of the rectangle CBFG = S2 =(4·x - 6) × (3·x - 2) = 12·x² - 8·x - 18·x + 12

The area of the rectangle CBFG = S2 = 12·x² - 26·x + 12

S2 = 12·x² - 26·x + 12

c) The area of the trapezoid ADEB = S3 = 1/2 × (Long side + Short side) × The height of the trapezoid ADEB

The long side of the trapezoid ADEB = BE = 4·x + 1

The short side of the trapezoid ADEB = AD = 2·x + 3

The height of the trapezoid ADEB = AB = 2·x - 3

The area of the trapezoid ADEB = S3 = 1/2 × (4·x + 1 + 2·x + 3) × (2·x - 3) = 6·x² - 9·x + 4·x - 6

∴ The area of the trapezoid ADEB = S3 = 6·x² - 5·x - 6

S3 = 6·x² - 5·x - 6

2) S = S1 + S2 - S3 = 4·x² - 12·x + 9 + 12·x² - 26·x + 12 - (6·x² - 5·x - 6) = 10·x² - 33·x + 27

It takes 5 men 12 days ro complete a job how many days does it take 3 men to complete the job

Answers

Answer:

5=12

3=? then Criss cross it and you will get 12*3 divided by 5 then you get 7.2

so the answer will be 7 days

Third time posting. Explain it too

Answers

Answer:

D. x-5 / x+4

Step-by-step explanation:

(-3x³ +9x² +30x) / (-3x³ -18x² - 24x)

=-3x (x²-3x-10) / -3x(x²+6x+8)

=-3x(x+2)(x-5) / -3x(x+2)(x+4)

=x-5 / x+4

Answer:

oooooooof

Step-by-step explanation:

5x + 3y = 27 and y = 2x – 2

Answers

Answer: 48

Step-by-step explanation:

-10x+6y=54 then + it to each other

-6x-6y=-6

-16x=48

Do the bois got me? Please bois

Answers

Answer:

the 2

second one

Step-by-step explanation:

Answer:

DFA BFC

Step-by-step explanation:

Krya is playing a card game. Black cards are worth points while red cards take points away. What is her score if she has a black 20-card and a red 42-card

Answers

Answer:

her score would be -22

Step-by-step explanation:

20-42=-22

(a-b)-(4a+3c)-(c-2a)​ full process please​

Answers

Answer:

-a - b - 4c

Step-by-step explanation:

(a  - b)  -  (4a + 3c) - (c - 2a) = a - b - 4a - 3c - c + 2a

                                            = a - 4a + 2a  - b  - 3c - c  {Combine like terms}

                                            = -a - b - 4c

If using the method of completing the square to solve the quadratic equation x^2+8x-4=0 which number would have to be added to "complete the square"?

I need the answer ASAP. Please help. Thank you

Answers

x^2 + 8x - 4 = 0

(x^2 + 8x + 8/2^2) - 4 - 8/2^2 = 0

(x^2 + 8x + 16) - 4 - 16 = 0

(x^2 + 8x + 16) - 20 = 0

(x + 4)(x + 4) - 20 = 0

The number that is to be added to complete the square is 8/2^2, or 16.

Eminem help me out please

Answers

Answer:

D as in Dawg y = 27x + 180

Step-by-step explanation:

Plug in 1 for the last option.

27(1) + 180 = 207

You will get 207 and the table has 200. So 207 is the closest answer to 200. All the other answers are not even close. Like 72 and etc

Answer:

D as in Dawg y = 27x + 180

Step-by-step explanation:

Plug in 1 for the last option.

27(1) + 180 = 207

You will get 207 and the table has 200. So 207 is the closest answer to 200. All the other answers are not even close. Like 72 and etc

can someone please help me with this question? please!

Answers

Answer:

22º

Step-by-step explanation:

Cara and marcus shared a candy bar. The models are shaded to show the fraction of the candy bar each of them ate. What fraction of the candy bar did Cara and Marcus eat altogether?

Answers

Answer:

A. 11/12

Step-by-step explanation:

A. 11/12

B. 9/16

C. 1/12

D. 9/24

Cara = 8/12 candy bars

Marcus = 1/4 candy bars

What fraction of the candy bar did Cara and Marcus eat altogether?

Total candy bars = Cara + Marcus

= 8/12 + 1/4

= 8+3/12

= 11/12 candy bars

The correct answer is A. 11/12

a circle with a radius 3 centimeters is cut from square piece of felt. the side of the felt square are 8 centimeters long. How much felt is left over? use 3.14 for (pie symbol). show your work.

Answers

Answer:

There are [tex]35.74\ cm^2[/tex] of felt left over.

Step-by-step explanation:

The side of the felt square is 8 cm. A circle of radius 3 cm is cut from the square piece of felt.

The portion of felt leftover is the difference between the area of the square and the area of the circle.

The area of the square is:

[tex]A_s=(8\ cm)^2=64\ cm^2[/tex]

The area of the circle is:

[tex]A_c=\pi(3\ cm)^2=3.14*9\ cm^2[/tex]

[tex]A_c=28.26\ cm^2[/tex]

The remaining area of the piece of felt is:

[tex]A=64\ cm^2-28.26\ cm^2[/tex]

[tex]A=35.74\ cm^2[/tex]

There are [tex]35.74\ cm^2[/tex] of felt left over.

Passes through (8,8) and (10,9)
Plz help need answer ASAP

Answers

Answer:

y = [tex]\frac{1}{2}[/tex] x + 4

Step-by-step explanation:

Assuming you require the equation of the line.

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (8, 8) and (x₂, y₂ ) = (10, 9)

m = [tex]\frac{9-8}{10-8}[/tex] = [tex]\frac{1}{2}[/tex] , then

y = [tex]\frac{1}{2}[/tex] x + c ← is the partial equation

To find c substitute either of the 2 points into the partial equation

Using (8, 8) , then

8 = 4 + c ⇒ c = 8 - 4 = 4

y = [tex]\frac{1}{2}[/tex] x + 4 ← equation of line

Nike paid Leslie a quarterly dividend check for $900. Leslie owns 400
share of Nike. What was the quarterly dividend for one share of Nike? *

Answers

Answer:

Step-by-step explanation:

:(

asaps
In which number is the value represented by the digit 9 equal to 1 of the value
represented by the digit 9 in the number 73,951?

Answers

Answer:

The number is 83,194

Step-by-step explanation:

The value of 9 in the given number is 900

So

out of all the options, we want a number in which the value of 9 there is 1/10 of 900 which is 90

The correct answer here is 83,194

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