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?

Answer:

that it is formed by numbers and steps followed are BODMAS

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]

360

Step-by-step explanation:

im not too sure tho

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

Answer:

y ≤ 1

Step-by-step explanation:

Range is the values of y that the graph can have

Step-by-step explanation:

Add all the money

$5+ 0.25+ 0.40= $5.65

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

Step-by-step explanation: All listed above

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:

Step-by-step explanation:

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

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

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

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

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

Answer

4

√

5

5

Step-by-step explanation:

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:

Answer:

Rectangle (Brainliest please)

Step-by-step explanation:

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

Answer:

option D is is that correct answer

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.

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].

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

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

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

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

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]

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:

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!

Answer:

-6

Step-by-step explanation:

Based on order of operations/ pemdas

[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°

Answer:

192

Step-by-step explanation:

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

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.

Answer:

- 25

Step-by-step explanation:

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