A movie theater has 85 seats. One rainy day in the summer, all seats were sold and the ticket income was $121. If adult tickets cost $3 and children tickets cost $1, how many children were in the audience?

Answers

Answer 1

Answer:

children = 67

Step-by-step explanation:

two equations can be derived from this question

x + y = 85 equation 1

3x + y = 121 equation 2

where x = number of adults

y = number of children

subtract equation 1 from 2

2x = 36

x = 18

substitute for x in equation 1

y = 85 - 18 = 67


Related Questions

which equation can be used to solve for x

Answers

Answer:

x+41=90

Step-by-step explanation:

Because that is square which means 90 degrees so 41 degrees plus x equals to 90

Hi there!  

»»————- ★ ————-««

I believe your answer is:  

The second option, [tex]\boxed{x+41=90}[/tex].

»»————- ★ ————-««  

Here’s why:  

In the picture given, there are two angles that, together, make up a right angle. You can also tell that it is a right angle because of the box marked in the bottom left corner. The angles in the picture are also complementary angles. Complementary angles add up to 90°. Right angles measure 90°.

⸻⸻⸻⸻

We can use the information given to set up an equation.

[tex]\boxed{\text{An equation to find 'x'.}}\\\\\text{The sum of the angle's measurements: }90$^{\circ}$\\\\\text{The given measurement for one of the angles: }41$^{\circ}$\\\\----------------\\\\\underline{The sum of the two angle measurements would be 90 degress.}\\\\\text{Given angle mesurement} + x = 90\\\\\boxed{41 + x = 90}[/tex]

Option B matches the equation made. Therefore, option B should be the correct answer.  

»»————- ★ ————-««  

Hope this helps you. I apologize if it’s incorrect.  

Unit 9 test: Trigonometry
What’s the correct answer to this problem

Answers

Answer:

See below.

Step-by-step explanation:

Remember SOHCAHTOA.

Soh...

Sine = Opposite / Hypotenuse

...cah...

Cosine = Adjacent / Hypotenuse

...toa

Tangent = Opposite / Adjacent

sin(64) = x / 94

Multiply both sides by 94.

94sin(64) = 94x / 94

Simplify

x = 94sin(64)

x = 84.487 = 84.5

During 1 month ,the mass of a person decreased from 50 kg to 40 kg . calculate the percentage decreased in the mass.

Answers

Answer:

Step-by-step explanation:

mass of person decreased=50kg-40kg

=10kg

decrease percentage=10/50*100

=10*2

=20%

If you add the two equations 6x + 4y 46 and — 6x + 9y = 6 what do you get? ​

Answers

Answer:

13y = 52

Step-by-step explanation:

6x - 6x + 4y + 9y = (46 + 6)

6x - 6x + 4y + 9y = 52

0 + 4y + 9y = 52

0 + 13y = 52

13y = 52

(p.s. y = 4)

23% of what number is 46?

Answers

Answer: 200

Step-by-step explanation:

first, you set up your proportion. (23% at the top right, 100 at the bottom right, 46 at the top left, and x and the bottom left.) next, you multiply x * 23% = 23x then 46*100 = 4600. 4600 divided by 23 = 200. therefore, x = 200. please let me know if you have further questions!

Good luck !

Find the circumference of this circle
using 3 for T.
C [?]
34
C = id
HELPPPP

Answers

Step-by-step explanation:

C = 3 × 34

C = 102

Usually it's

C = 3.14 × 34

C = 106.76

This is a more accurate answer but with your question specifically, the answer above is more correct.

What is the y-intercept of the line shown below? Enter your answer as a
coordinate pair. Help!!!!!

Answers

Answer:

(0, 3)

Step-by-step explanation:

y= 3 when x=0

The y-intercept of a line is where the line crosses the y axis, so the x axis is always 0 here. So it is (0,-3)

Which of the graphs correctly shows the set {-7, -2, 7}?
A) A
B) B
C) C
D) D

Answers

D. Is the correct answer
D is the correct answer.

Help me plzzzzzzzzzzzz

Answers

Answer:

The circumference of a circle

Step-by-step explanation:

Hope this helped you out :)

Answer:

2π r is how you find the circumference of a circle so the answer is the second option .

Somebody help me ASAP! I WILL GIVE BRAINLIEST IF YOU SOLVE THIS BY 12:40 PM PST

Answers

Answer:

B. {2/3, 1}

Step-by-step explanation:

x²/5 - x/3 = -2/153x² - 5x = -23x² - 5x + 2 = 0x = (5 ± [tex]\sqrt{5^2 - 4*3*2}[/tex])/6x = (5 ± 1)/6x = 6/6 = 1 , x = 4/6 = 2/3

Correct choice is B

Thank for doing it I love u

Answers

a) Very unlikely (1/30)

b) Unlikely (6/30)

c) Likely (15/30)

mark me brainliestt :))

Find the circumference of this circle
using 3 for T.
C ~ ?
[?]
36
C = ad
helppp

Answers

Answer:

C = pi d

C = 3 × 36

C = 108

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HELP MEEEEE
Find the percent of increase from 3 inches to 7.5 inches.

Answers

Answer:

150% increase

find the tangent of angle A (giving brainliest and thanks to all!)

Answers

Answer:

Option B, 8 / 6

Step-by-step explanation:

Tangent = Opposite / Adjacent

Tangent of ∠A = Opposite / Adjacent

Tan(A) = 8 / 6 which is the same as Option B

Hope this helps!

Line AB is perpendicular to line CB.
A(2,3), B(5,7) C(x,8)
What is the value of x to make this statement true?

Answers

Answer:

Step-by-step explanation:Hly/3fcEdSxere's li[tex]^{}[/tex]nk to the answer:

bit.[tex]^{}[/tex]

Answer:

a 2 and 3 step by step exolaniation

Please Help!! It would mean a lot :)

Answers

The answer would be A because you are adding 7 into the value of the sum of (2m)

-6, -2, 2, 6, 10 ,14.. find the term in position 12 (include the steps)​

Answers

a(12) = 38

a(n) = a1 + (n - 1)d

Use this formula to solve.

n is what position.

a1 is position 1.

d is common difference.

a(12) = -6 + (12 - 1)4

-6 + 11(4)

-6 + 44

38

Is the point (1,3) inside, outside the circle

Answers

Step-by-step explanation:

what is the center of the circle !

PLEASEEEE HELLPPPPPPPPP

Answers

20 degrees; add up the given angles for the remaining angle

Help me plzz i beg u

Answers

Answer:

Step-by-step explanation:

Debbie used 40% of her flour for cookies. She started with 24 cups; how many cups did Debbie use?

Answers

the other asnwers dont make any sense. but just take my word for it.

Need urgent help, will give brainliest for honest help

Answers

I'll do the first two to get you started

See the diagram below for the filled out answers.

====================================================

Problem 1

You are correct in saying that 10 goes in the first box. This is from 2*5 = 10 when you apply the distributive property a*(b+c) = a*b+a*c.

For the next box, you'll have x go inside it. This is because we subtract 2x from both sides and then note how 3x-2x becomes x. This x is found on the right side of the third line.

For the last box, we have 9 go inside it. This is from subtracting 1 from both sides, so 10-1 becomes 9.

Answers:

10x9

in that order

====================================================

Problem 2

We add 2y to both sides so that 3y becomes 5y. Ie, 2y+3y = 5y

As a way to check the answer, note how 5y is on the left side of line 2.

Then we'll add 4 to both sides. So 6 updates to 6+4 = 10 on the right side. We type 10 in the second box.

The last step is to divide both sides by 2. The equation 5y = 10 solves to y = 2

Answers:

5y102

in that order

See the diagram below for the filled out answers.

Vector u has a magnitude of 4 with a direction of 50°. Vector v has a magnitude of 6 with
a direction of 25°. Which vector components represent the sum of u + v?

Answers

Answer: <8.01, 5.60>.

Step-by-step explanation:

Vector:

[tex]v= (r\cos\theta,r\sin\theta)[/tex]

, where r = magnitude and [tex]\theta[/tex] = angle .

As per given,

[tex]u=(4\cos 50^{\circ}, 4\sin 50^{\circ})\\\\\approx(4(0.64),4(0.77))\\\\=(2.56, 3.08)[/tex]

[tex]v=(6\cos 25^{\circ}, 6\sin 25^{\circ})\\\\\approx(6(0.91),6(0.42))\\\\=(5.46, 2.52)[/tex]

Consider

[tex]u+v=(2.56,3.08)+(5.46,2.52)\\\\=(2.56+5.46,3.08+2.52)\\\\=(8.02,\ 5.60)[/tex]

Hence, the correct option is <8.01, 5.60>.

HELP ASAP!!! HELP FAST PLEEASE!!!

Answers

Answer:

e.

Step-by-step explanation:

A fish starts at -8 m and jumps up 13 m, what is the fishes new elevation?

Answers

Answer:

the fish is now at 5 m

Step-by-step explanation:

13-8=5

the fish is at 5 meters

find the value of x HELP PLS

Answers

Answer:

x= 36

Step-by-step explanation:

both angles together are supplementary and will form 180

Therefore, you know the missing angle can be found by substracting 108 from 180

180 - 108 = 72

72 = 2x

Answer:

36°

Step-by-step explanation:

2x+108°=180°

2x=72°

x=36°

Explain two different ways that you can solve the exponential equation 3^x+2=8 .

Answers

Answer:

solving a quadratic equation by factoring

using the quadratic formula

Step-by-step explanation:

30 students in a class went on a trip to the other side of the city. There were 4 vans for the
students to take. 6 students walked. How many students could fit in each van?

Answers

Answer:

6

Step-by-step explanation:

30-6=24

(6 people walked which means they are not included in the people fitting on the busses)

24/4=6

(from there you need to divide by 4 to tell how many were on each bus.)

if cos theta is equal to -7/25 and theta (180°;360°) what is the value of 14 tan theta ​

Answers

Answer:

[tex]14 tan\theta = -48[/tex]

Step-by-step explanation:

[tex]cos \theta = \frac{-7}{25}\\\\cos^2 \theta = \frac{49}{625}\\\\sin^2 \theta = 1 - cos^2 \theta\\\\[/tex]

        [tex]=1 - \frac{49}{625}\\\\=\frac{625-49}{625}\\\\=\frac{576}{625}\\\\[/tex]

[tex]sin \theta = \sqrt{\frac{576}{625}} = \frac{24}{25}[/tex]

[tex]tan \theta = \frac{sin \theta}{cos \theta}[/tex]

          [tex]=\frac{\frac{24}{25}}{\frac{-7}{25}}\\\\=\frac{24}{25} \times \frac{25}{-7}\\\\=\frac{-24}{7}[/tex]

[tex]14 tan \theta = 14 \times \frac{-24}{7} = 2 \times -24 = -48[/tex]

William only had 1 3/4 cups of flour so he can only make 2/3 of a batch of biscuits how much flour is needed for a full batch of biscuits

Answers

Answer: 2 5/8 Cups

Step-by-step explanation:

Cups of flour he have = 1 3/4

= 7/4

Batch of biscuits made = 2/3

Flour to make a full batch

7/4 / 2/3 = 2 1/8

= 2 5/8 Cups

Hope it helps

Other Questions
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