Question 13 (2 points)
There are a total of 56 students in the art club and the math club. The art club has 12 more students
than the math club. Write and solve a system of equations to find the number of students in each club.
Let x = students in the art club and y = students in the math club
Solution:
students in the art club and
students in the math club
Blank 1:
Blank 2:

Answers

Answer 1

Answer:

The math club has 22 students, and the art club has 34 students.

Step-by-step explanation:

Given that there are a total of 56 students between the art club and the math club, and that the art club has 12 more students than the math club, to determine how many students there are in each club, the following calculation must be performed:

X + X + 12 = 56

2X + 12 = 56

2X = 56 - 12

X = 44/2

X = 22

Thus, the math club has 22 students, and the art club has 34 students.


Related Questions

A box of chocolates contains five milk chocolates, five dark chocolates, and five white chocolates. You randomly select and eat three chocolates. The first piece is milk chocolate, the second is dark chocolate, and the third is white chocolate. Is it independent or dependen?

Answers

The first piece is milk chocolate, the second is dark chocolate, and the third is white chocolate independent and the probability is 25/546.

What is probability ?

Probability of something is the occurrence of a certain event out of the total events that can occur.

According to the given question

The total no. of chocolates in the box is

(5 + 5+ 5) = 15 chocolates.

The probability of eating a milk chocolate first a dark chocolate second and a white chocolate third is an independent event because occurrence of next event do not depend upon the previous event.

There are 5 milk chocolates.

So, probability of getting a milk chocolate first is

P(mc) = 5/15

= 1/3

Now the the chocolate can no be replaced because it is eaten

Probability of getting a dark chocolate second is

P(dc) = 5/14                          (as the total no. of chocolate is reduced by 1

                                                                    because it has been eaten)  

And the probability of getting a white chocolate in 3rd attempt is

P(wc) = 5/13

As the first piece is milk chocolate, the second is dark chocolate, and the third is white chocolate is an independent event their probability is

P(mc) ∩ P(dc) ∩ P(wc)

= P(mc) × P(dc) × P(wc)

= (1/3 × 5/14 × 5/13)

= 25/546.

Learn more about Probability here :

https://brainly.com/question/11234923

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y=0²-2x+4
pls find y

Answers

y = -2x + 4

0^2 remains without a value

During each week of piano lessons, Nate learns to play 1 new piece. Is the total number of piano pieces Nate learns proportional to the number of weeks he takes lessons?

Answers

Answer:

Yes

Step-by-step explanation:

1 piece per week can be written as a 1:1 ratio

The net of a right rectangular prism is shown below. The measurements are given to the nearest tenth of a centimeter. What is the surface area of the prism?

Answers

Answer:  c. 352.50 cm²

Step-by-step explanation:

Looking at the shape one can see that it is made up of 3 rectangles and 2 triangles.

The surface area will therefore be the sum of the areas of these 5 shapes.

Rectangle area = Length * width

= 7.5 * 13.5

= 101.25 cm²

There are 3 of them:

= 101.25 * 3

= 303.75 cm²

Triangles = 1/2 * base * height

= 1/2 * 7.5 * 6.5

= 24.375 cm ²

There are two of them:

= 24.375 * 2

= 48.75cm²

In total:

= 303.75 + 48.75

= 352.50 cm²

5p+2=-43

I need help so bad please help

Answers

p = -9.

apologies if this is wrong.

3x + 15 = 4x + 12

25 POINTS, AND BRAINLIEST IF YOU'RE CORRECT!

Please help, I need a step-by-step solution. I don't understand how to do this, and I'm willing to learn. ​

Answers

Answer:

[tex]3x + 15 = 4x + 12 \\ 4x - 3x = 15 - 12 \\ \boxed{x = 3}[/tex]

x=3 is the right answer.

PLZ I NEED HELP so im just write this bc i need more than 20 letters so <3

Answers

Answer:

The area is 24 (In)

Step-by-step explanation:

A=h^b x b/ 2

Hope this helps ^^

~PurpleMist

PLEASE HELP ILL GIVE U BRAINLEST PLUS 50 POINTS IF U GET IT RIGHT

Answers

Answer:

3x^2-10x+1

I would explain it but i think you need the answer quick so.

What is the value of the expression below? 5+2(10 + 5)​

Answers

U would do 10+5 first then u would do 5+2 so 15+7 =22
The answer is 22. PEMDAS = Parentheses first, so you add 10 + 5 = 15. Then you add 5+2 = 7, = 22.
Or if you’re multiplying it would be 15 x 7

Rewrite the function y = 2(x – 4)^2 – 5 in standard form.

Answers

Answer:

y=2x2−16x+27

Step-by-step explanation:

y = 2x2 + 12x + 13


eeeeeeee

Please help :( I will mark brainliest.

Answers

Answer:

The value of x is 29.

Step-by-step explanation:

→ The angles arent congruent, they are supplementary.

→ Supplementary angles equals 180 degrees.

The equation looks look:

[tex]2x - 10 + 4x + 16 = 180[/tex]

→ Let's solve the equation.

[tex]2x - 10 + 4x + 16 = 180 \\ 6x + 6 = 180 \\ \frac{ \: \: \: \: \: - 6 = - 6}{ \frac{6x}{6} = \frac{174}{6} } \\ x = 29[/tex]

→ Therefore, the value of x is 29.

The price of a watch was increased by 20% to £162.
What was the price before the increase?​

Answers

The original price is 135
Step-by-step explanation:
Write equation. Let o be original price, r be rate of increase, P be the increased price. o+ro=P
Substitute values. Original price (o) is unknown, so that will stay as it is; we know that the increased price (P) is 162; we know that the rate of increase (r) is 20%, which in decimal form is 0.20 o+0.20o=162
Add like terms. o is the same as 1o. So 1+0.20 is 1.20. 1.20o=162
Isolate the variable (o). To isolate o, you need to divide both sides by 1.20. 1.20 divided by 1.20 is the same as 1. 162 divided by 1.20 is 135. o=135
Check your work. Plug in the values into the equation and check if it is correct: o+ro=P becomes (135)+(.20)(135)=162. That is simplified into 135+27=162, which is further simplified into 162=162
It’s correct, the answer is 135

Answer:

£129.60

Step-by-step explanation:

10% =  £16.2

20% = £32.4

£162 - £32.40 = £129.60

solve for y and x explain your thinking

Answers

Answer: X=2.5,  Y= 6.5

Step-by-step explanation:

It seems the triangle on the left is being transformed and a scale factor of 0.5 or 1/2 is being used since the 6 is half of 12. Therefore you divide 5 by 2 to get 2 and the 13 by 2 to get 6.5.

What would be the third step in simplifying the expression 3 + (9 - 5) 2 ÷ 8?

Answers

Answer:

Third step is divide 8 by 8

Step-by-step explanation:

Ok I'm going to do this step by step

First parenthesis

3+4*2÷8

Then multiply by 2

2+8÷8

Divide 8 by 8

2+1

Add

3

helpppp asap , help a girl outtttt :’(

Answers

Answer:

4. x=1/5y+3 5. x=-6/9y+2 6. x=-6/1y+4

Step-by-step explanation:

math and stuff

sorry if I am wrong, I haven't done this ina while and never studyed it much

Write the function for the graph.

Answers

Answer:

the answer is B

Step-by-step explanation:

✨PLEASE HELP✨DUE SOON✨

Answers

Y = 4
X = 5

Solve 6x-2(-2x+14)=22
Then solve y=-2*5+14
(5,4)
y=4 and x=5
sorry if this is wrong

A line passes through the point (6,-1) and is perpendicular to the line with equation - 2x + 3y = -6.
Which is the equation of the line?

Answers

Answer: y = − 3/2 x + 8

Step-by-step explanation:

Find the Perpendicular Line

Solve −2x + 3y = −6.

y = −2 + 2x/3

Find the slope when y = −2 + 2x/3 .

m = 2/3  

The equation of a perpendicular line must have a slope that is the negative reciprocal of the original slope.

[tex]m[/tex] perpendicular = [tex]-\frac{1}{\frac{2}{3} }[/tex]

Simplify to find the slope of the perpendicular line.

perpendicular = −3/2

Find the equation of the perpendicular line using the point-slope formula.

y + 1 = − 3/2

⋅ (x − 6)

Write in y = mx + b form.  

y = − 3/2 x + 8

What is the value of the missing angle



Please pelsd help

Answers

Answer:

Angel U=65

Step-by-step explanation:

115+x=180

x=180-115

x=65

65+50+x=180

x=180-115

x=65

angles: 50, 65,65

this triangle is isosceles

Check:

50+65+65=180

Yea I agree with that guy it makes the most sense lol

How many times do 8 go into 5

Answers

it goes into five 0 times

Answer:

0 Times

Step-by-step explanation:

The answer is 0 times!

This is due to the concept in which 8 is a bigger number than 5.

Sasha says that she drew an acute isosceles triangle with side lengths of 6 cm,9 cm,and 12 cm and the angles are of 30 degree,50 degrees,and 100 degrees. Danielle says that not possible.Using sides and angles, who is correct. Most helpful gets the Brainliest.

Answers

Answer:

Danielle is correct. An isosceles triangle has two angles that are the same and one that's different.

Step-by-step explanation:

Tell me if it is wrong

I would appreciate a brainliest!

Have a nice day :D

helppppppppppppppppppppppppppppppppppppp

Answers

The answer to this would be 2

A bathtub is filling with water at a rate of 60 liters per minute.
How many liters of water are in the bathtub after t minutes?
Write your answer as an expression.

Answers

60t sjjdksjsosjdksksksjskznxls

Answer:

YO BIG MAMMA

Step-by-step explanation:

You just yell to your mom and say YO BIG MAMMA and TADA she loves you

Which expression is equivalent to V8x7y8 ?

Answers

Answer:

the third one

Step-by-step explanation:

the answer is C!
good luck!

Find WX
10x + 5

7x + 8

8x-1

Answers

Answer: 127

Step-by-step explanation:

please ill give brainliest if correct

What is an equation of the line that passes through the point (-1,4) and is parallel to the line x+y=4x?

Answers

Answer:

Y= 14x+5

Step-by-step explanation:

i need help please?!?!?

Answers

Answer:

c=2a+b/d

Step-by-step explanation:

Multiply both sides by c.

2a+b=cd

Flip the equation.

cd=2a+b

Divide both sides by d.

cd/d = 2a+b/d

what is 234 times 7658

Answers

Answer:

1,791,972

Step-by-step explanation:

234x7658=1,791,972

hope this helps

what is the square root of 72x as a power of 6 / x squared​

Answers

Answer is : 6 √ 72 x 2 Rewrite  72 x2 as  ( 6 x ) 2 ⋅ 2 . Tap for more steps... 6 √ ( 6 x ) 2 ⋅ 2 Pull terms out from under the radical.

6 ( 6 x √ 2 ) Multiply  6 by  6 . 36 x √ 2

thank  me later

Pls helppp 10 points ( question 4)

Answers

did you try the answer b?
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