Tickets for a play cost $3 for children and $10 for adults. A group of 25 people paid a total of $201 for tickets to the play. How many children were in a group?

Answers

Answer 1

Answer: There were 7 children

Step-by-step explanation:

Let's use x to represent the children and y to represent the adults.

We know they combine to make a group of 25 people so x+y=25

We also know that they paid $201 and that there is $3 per child and $10 for adults so 3x+10y=201

I will solve by substitution.

Solve for y in the first equation

[tex]x+y=25\\x-x+y=25-x\\y=25-x[/tex]

Sub in our value for y into the other equation and solve for x

[tex]3x+10y=201\\3x+10(25-x)=201[/tex]

Step 1) Simplify

[tex]3x+250-10x=201\\-7x+250=201[/tex]

Step 2) Subtract 250 from both sides

[tex]-7x+250-250=201-250\\-7x=-49[/tex]

Step 3) Divide both sides by -7

[tex]\frac{-7x}{-7} =\frac{-49}{-7}\\x=7[/tex]

Answer 2

Answer:

7 children.

Step-by-step explanation:

Let c = children

Let a = adults

1) We can set up two equations and solve them simultaneously using substitution or elimination method.

c + a = 25

3c + 10a = 201

2) I will use substitution. Make one of the variables the subject; then, substitute it into the other equation.

a = 25 - c

3c + 10(25 - c) = 201

3) Solve for c; then, substitute it into one of the equations.

3c + 250 - 10c = 201

-7c = 201 - 250

-7c = -49

c = -49/-7

c = 7

Let's substitute it into one of the equations.

7 + a = 25

a = 25 - 7

a = 18

Since the question only asked for the number of children, the answer is 7.


Related Questions

Show work, solve by using square root method

Answers

Answer:

4[tex]x^{2} - 2x^{2} = 16\\x^{2} - 4 = 16\\ ||||-4 ||-4||\\x^{2} =20\\\\\sqrt{x} ^{2} = \sqrt{16} \\x = 4[/tex]

Step-by-step explanation:

x

a 10.2 of the pupils in a school are boys. If there are 96 girls in the school, how many pupils are there in the school?​

Answers

Answer:

192

Step-by-step explanation:

because if you multiply 2 by 96 then you get your answer

Dorado County, which has a population of about 6,720, is divided into 4 townships. About 1/4
of Dorado County's population lives in Emerson Township, which has an area of 344 square miles. What is the population density of Emerson Township?

If necessary, round your answer to the nearest whole number.

Franco Township is also in Dorado County. Franco Township's population is about 30% greater than Emerson Township's, and its area is 512 square miles. What is the population density of Franco County?

If necessary, round your answer to the nearest whole number.

Answers

Density of population = total population / area of the township

Emerson township:
Population of Emerson = 6720 * (1/4)
= 1680
Density of population = 1680 /344
= 5 per square miles

Franco township:
30% of 1680 = 0.3 * 1680 = 504
Population = 1680 + 504
= 2184
Density = 2184/512
= 4 per square mile

Frances has $5 in her bank. She finds $0. 25 under her bed. Then she finds $0. 40 more in her pocket. How much money does Frances have in all?

Answers

Step-by-step explanation:

Add all the money

$5+ 0.25+ 0.40= $5.65


Find the area of the triangle.





HELP PLEASEE ASAP !!

Answers

Answer:

- 25

Step-by-step explanation:

A= 0(4-0)+7(0-3)+4(3-4) = -25

Need help ASAP! TYSM simplify 4√6/√30

Answers

Answer

4

5

5

Step-by-step explanation:

Which expression is equivalent to n2 26n 88 for all values of n? (n 8)(n 11) (n 4)(n 22) (n 4)(n 24) (n 8)(n 18)

Answers

The factor of the given polynomial n² + 26n + 88 is (n + 4) and (n + 22). Then the correct option is B.

What is a factorization?

It is the method to separate the polynomial into parts and the parts will be in multiplication. And the value of the polynomial at this point will be zero.

The polynomial is given below.

n² + 26n + 88

Then the factor of the given polynomial will be

n² + 22n + 4n + 88

n(n + 22) 4(n + 22)

(n + 4)(n + 22)

More about the factorization link is given below.

https://brainly.com/question/6810544

help me with this..!!?

Answers

Answer:

y ≤ 1

Step-by-step explanation:

Range is the values of y that the graph can have

PLS HELP ITS URGENT!!


The circumference of the ball is 9. 4 inches. What is the approximate surface area and volume of the ball? Round your answers to the nearest unit.

The surface area of the ball is approximately

square Inches.

The volume of the ball is approximately

cubic Inches.

Answers

2(pi)r = 9.4in
(pi)r = 4.7in
3.14r = 4.7in
r = 1.497in

Surface Area Of a Sphere = 4(pi)r^2 = [4(3.14)(1.497)^2]in^2 = 28.147in^2 = 28in^2
Volume Of a Sphere = 4/3(pi)r^3 = [4/3(3.14)(1.497)^3]in^3 =14.05in^3 = 14in^3

A rabbit jumps across the floor at an angle of 30° with an initial speed of 7 ft/s.
Determine how long the rabbit was in the air. Round to the nearest hundredth.

Answers

The time of flight of the rabbit whose motion is described rounded to the nearest hundredth is; 0.71s

How long did the rabbit stay in the air?

According to the task content;

It follows that the motion of the rabbit was a projectile motion.

Hence, the time of flight of the rabbit is;

T = 2(7) sin 30/9.8.

T = 0.71s

On this note, the time of flight for which the rabbit stayed in the air is; 0.71s.

Read more on time of flight;

https://brainly.com/question/4441382

A figure was rotated around a vertical line segment resulting in the object below.
Which of the following figures was rotated?

Answers

Answer:

Rectangle (Brainliest please)

Step-by-step explanation:

Question 5 of 10
Solve the rational equation:
4x/x+5 = x/x+4

Answers

Answer:

[tex] x = 0 [/tex]  or  [tex] x = -\dfrac{11}{3} [/tex]

Step-by-step explanation:

I assume the denominators are x + 5 and x + 4 although that is not what you wrote.

[tex] \dfrac{4x}{x+5} = \dfrac{x}{x+4} [/tex]

[tex] (x + 4)(x + 5)\times \dfrac{4x}{x+5} = (x + 4)(x + 5) \times \dfrac{x}{x+4} [/tex]

[tex] (x + 4)(4x) = (x + 5)(x) [/tex]

[tex] 4x^2 + 16x = x^2 + 5x [/tex]

[tex] 3x^2 + 11x = 0 [/tex]

[tex] x(3x + 11) = 0 [/tex]

[tex] x = 0 [/tex]  or  [tex] 3x + 11 = 0 [/tex]

[tex] x = 0 [/tex]  or  [tex] 3x = -11 [/tex]

[tex] x = 0 [/tex]  or  [tex] x = -\dfrac{11}{3} [/tex]

Please answer for me.

Answers

Answer:

The following is equivalent to -1.

Step-by-step explanation:

[tex]\text{Use PEMDAS to solve this equation.}\\\frac{4^3/(-12+2^2)}{(2*3)^2+(-5*2*3)+2}\\\text{Evaluate 2 squared in the first parenthesis.}\\\frac{4^3/(-12+4)}{(2*3)^2+(-5*2*3)+2}\\\text{Evaluate -12 + 4 in the first parenthesis.}\\\frac{4^3/-8}{(2*3)^2+(-5*2*3)+2}\\\text{Evaluate 2 times 3 in the next parenthesis.}\\\frac{4^3/-8}{(6^2+(-5*2*3)+2}\\\text{Evaluate -5 times 2 in the next parenthesis.}\\\frac{4^3/-8}{6^2+(-10*3)+2}\\\text{Evaluate -10 times 3 in that parenthesis.}\\[/tex]

[tex]\frac{4^3/-8}{6^2-30+2}\\\text{Now that the parenthesis are finished, start evaluating exponents, start in the numerator.}\\\frac{64/-8}{6^2-30+2}\\\text{Evaluate the remaining exponent.}\\\frac{64/-8}{36-30+2}\\\text{Evaluate the division in the numerator.}\\\frac{-8}{36-30+2}\\\text{Finally, evaluate the numbers in the denominator.}\\\frac{-8}{6+2}\\\frac{-8}{8}\\\text{Divide -8 by 8 to get your final answer:}\\-1[/tex]



Help Help please :3

Answers

360

Step-by-step explanation:

im not too sure tho

1: 4.331 L =_____ mL
2: 4.85 m =____mm
3: 256 cm =____m
4: 13.3 m =_____cm
5:0.32 kg =____g
6:18.5 cm =____km
7:140 cm =____km
8:0.5 kg =____g

Answers

Answer: 4331ml, 4850mm, 25.6m, 133cm, 320g, 0.000185km, 0.0014km, 500g

Step-by-step explanation: All listed above

please no links
Solve -7 + 21 > -14.
A. x<5
B. x< -1
C. x<5
D. x< -1

Answers

Hey there!


-7x + 21 > -14


SUBTRACT 21 to BOTH SIDES

-7x + 21 - 21 > -14 - 21


SIMPLIFY IT!

NEW EQUATION: -7x > -35


DIVIDE -7 to BOTH SIDES

-7x/-7 > -35/-7


SIMPLIFY IT!


x < 5


Therefore, your answer is: x < 5



Good luck on your assignment & enjoy your day!



~Amphitrite1040:)

Answer:

X<5

Step-by-step explanation:

Isolate the term of x from one side of the equation.

-7x+21>-14

First, subtract by 21 from both sides.

-7x+21-21>-14-21

Solve.

Add or subtract the numbers from left to right.

-14-21=-35

Rewrite the problem down.

-7x>-35

Then, multiply by -1 from both sides.

[tex]\sf{\left(-7x\right)\left(-1\right) < \left(-35\right)\left(-1\right)}[/tex]

Solve.

7x<35

Divide by 7 from both sides.

7x/7<35/7

Solve.

Divide the numbers from left to right.

35/7=5

x<5

Therefore, the correct answer is x<5.

I hope this helps! Let me know if you have any questions.

can any one help me with this question I don't really get it please help​

Answers

Answer:

104.5 is what I got, tell me if that's wrong.

Answer:

104 1/2

Step-by-step explanation:

The answer is 104 1/2 since the formula for volume is LWH. You have to do 6 1/3*3*5 1/2.

6 1/3=19/3

5 1/2=11/2

19/3*3/1=57/3.

57/3*11/2=627/6.

627/6=104.5 or 104 1/2.

Which of the following functions best models the data shown in this scatterplot?

1. y=15x^2+18

2. y=100x−200

3. y=450x−600

4. y=3x+10

Answers

Right away the shape of the graph looks like a parabola which is a dead give away that the equation has to have an exponent in it leaving #1 as your only option. plug in a few numbers to proof like (5,393) and (10,1518)

if a table shows the side length of a triangle and side 1 is 2(a+3) and side 2 is 3a-1 and the perimeter of the triangle is 6a-3. what is side 3

Answers

Answer:

Side 3 = a - 2

Step-by-step explanation:

Perimeter of a ∆ = sum of all the sides of a triangle

Perimeter of the given ∆ = 6a + 3 units

Side 1 = 2(a + 3)

Side 2 = 3a - 1

Side 3 = ?

Therefore:

Side 3 = Perimeter - sum of side 1 and 2

Thus:

Side 3 = 6a + 3 - [2(a + 3) + (3a - 1)]

Side 3 = 6a + 3 - [2a + 6 + 3a - 1]

Side 3 = 6a + 3 - [5a + 5]

Side 3 = 6a + 3 - 5a - 5

Side 3 = a - 2

Step-by-step explanation:

A ferry transports passengers to three different ports. from port a, the ferry travels east 3.5 miles to port b. the ship then turns 75° south and travels for 6 miles to reach port c. what is the distance d from port c to port a? approximate to the nearest tenth of a mile. miles

Answers

The distance d from port c to port a from the given ship movement is gotten as; 7.7 miles.

How to calculate bearing distance?

We are given;

Ferry travels east 3.5 miles from Port b.

Then it turns 75° south and travels for 6 miles till it gets to Port c

To get the distance d from port c to port a, we would make use of cosine rule which is;

c = √(a² + b² - 2ab*cos C)

Thus;

d = √(3.5² + 6² - 2(3.5 * 6)*cos 75))

d = 7.7 miles

Read more about bearings at; https://brainly.com/question/17612866

#SPJ4

Answer:

Step-by-step explanation:7.7 miles

Willl mark as brainlyest. Please help!!!

Answers

The answer is -6. Hope this helps!

Answer:

-6

Step-by-step explanation:

Based on order of operations/ pemdas

HEELLPP WILL GIVE BRAINLEST TO WHOEVER ANSWERS.

Answers

Answer:

B

Step-by-step explanation: The 2nd number in the equation represents the y axis so if its moving 7 units down its -7 on the y axis which makes it 9x-7

Answer: C

Step-by-step explanation:

Find the surface area of the prism.

Answers

Answer:

156 [in²].

Step-by-step explanation:

1) total area consists of six parts (all the details are in the attachment):

A=2A₁+2A₂+A₃+A₄;

2) according to the formula above:

A=2*5*3+2*0.5*(6+12)*4+6*3+12*3=156 [in²].

dilson is going to toss two number cubes each with faces labeled.

what is the possibility of tossing a sum of 6?

A) 1/12
B) 1/9
C) 5/36
D) 1/6

Answers

Answer:

option D is is that correct answer

what do you know about math

Answers

Answer:

that it is formed by numbers and steps followed are BODMAS

What is the solution to the inequality x^2 + 2x ≤ 24?
A)
x < 4 or x > –6

B)
–6 ≤ x ≤ 4

C)
–6 < x < 4

D)
x ≤ –6 or x ≥ 4

Answers

Answer:

B. -6 ≤ x ≤ -4

Step-by-step explanation:

1. Rewrite the inequality in standard form:

x² + 2x - 24 ≤ 0

2. Factor x² + 2x - 24:

(x-4)(x+6) ≤ 0

3. Identify the intervals:

x - 4+4 = 0+4, x + 6-6 = 0-6

x = 4, x = -6

In conclusion:

-6 ≤ x ≤ -4

hope this helps!

find m ED
find m COB
find m AB
find m BOE

Answers

[tex]\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}[/tex]

Actually Welcome to the concept of Angles.

Angle ED = 90° - 15° ==> 75°

Angle COB = 180° - 15° ==> 165°

Angle AB ==> 15° ..( vertically opposite angles)

Angle BOE ==> 90° + 15° ==> 105°

please help me.... asap (no links)

Answers

Answer:

3

Step-by-step explanation:

they give you all the possible outcomes, all they are asking for is how many of those outcomes have only one head in it

Answer:

3; HTT, THT, TTH

H means heads, T means tails, therefore there are 3 pairs with 1 letter H.

the width of a rectangle is 3x+1. the length is three times the width. what is the simplified expression of the total perimeter of this rectangle?

Answers

Answer:

The total perimeter here is P =21x + 7

Step-by-step explanation:

Let W and L represent the width and length of the rectangle.  Then the perimeter is P = 2W + 2L.  Substituting 3x + 1 for W and 3(3x + 1) for L, we get

P = 2(3x + 1) + 2*3*(3x + 1), or P = 7(3x + 1) = P =21x + 7

Simplify 2 little 3 x 2 little 4

Answers

when we multiply numbers with the same root we just add=2^3*2^4=2^7
The answer is choice A (2^7)

Because when you have 2 cubed multiplied by 2 to the power of 4, you have to add the exponents (3+4) and keep the base number the same (2)
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