BRAINLIEST & 25 POINTS PLEASE HELP URGENT DUE IN 10 MINUTES.
A movie theater charges $8.00 for adults and $5.00 for children. If there were 40 people altogether and the theater collected $272.00 at the end of the day, how many
of them were adults?
A. 29 adults
B. 16 adults
C. 24 adults
D. 10 adults

Answers

Answer 1

Answer:

C) 24 adults

Step-by-step explanation:

Let A be the number of adults and C be the number of children.

If a ticket costs $8 per adult, we can express this as 8A

If a ticket costs $5 per child, we can express this as 5C

Combining the two expressions, we can write 8A+5C=272 as our first equation since the total amount of money collected is $272.

Our second equation would be A+C=40 since there are 40 people.

Now, we can take the second equation and write it as C=40-A so we can substitute the value of C into the first equation as 40-A so we only have to deal with one variable, the amount of adults that went to the theater.

The first equation now becomes 8A+5(40-A)=272 and is much easier to solve:

8A+5(40-A)=272

8A+200-5A=272

3A+200=272

3A=72

A=24

Therefore, there are 24 adults


Related Questions

What is the gradient of the graph shown?
Give your answer in its simplest form.

Answers

Answer:

m=3/2

Step-by-step explanation:

Two points are shown

point 1: (0;-3). 4;3. -2-6

point 2: (2;0)

[tex]m = \frac{y2 - y1}{x2 - x1} [/tex]

[tex]m = \frac{0 - ( - 3)}{2 - 0} [/tex]

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

Three segments are chosen at random from six segments having lengths of 2, 3, 5, 6, 7 and 10 units. What is the probability that the three segments chosen could form a triangle? Express your answer as a common fraction

Answers

Using the probability concept, it is found that there is a [tex]\frac{7}{20}[/tex] probability that the three segments chosen could form a triangle.

A probability is the number of desired outcomes divided by the number of total outcomes.

In this problem, the order in which the sides of the segments are chosen is not important, hence, the combination formula is used to find the number of total outcomes.

Combination formula:

[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by:

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

Total outcomes:

3 segments from a set of 6 lengths, hence:

[tex]C_{6,3} = \frac{6!}{3!3!} = 20[/tex]

Desired outcomes:

Segments can make a triangle if the sum of the lengths of the smaller segments is greater than the length of the larger segment.Hence, the possible options are: (2,5,6), (3,5,6), (3,5,7), (5,6,7), (5,6,10), (5,7,10), (6,7,10).There are 7 desired outcome, hence [tex]D = 7[/tex]

Then:

[tex]p = \frac{D}{T} = \frac{7}{20}[/tex]

[tex]\frac{7}{20}[/tex] probability that the three segments chosen could form a triangle.

To learn more about the probability concept, you can take a look at https://brainly.com/question/24437717

Suppose X ~ N(6.5, 1.5), and a
3.5. Find and interpret the Z-score of the standardized normal random variable.

Answers

Answer:

Step-by-step explanation:


4,6,9,...
Find the 8th term.
Find the 8th term.

Answers

Answer:

4, 6, 9, 12, 15, 18, 21, 24.

Step-by-step explanation:

The 8th term is 24.

just +2 (add 2) every time.

please help, theres a picture

Answers

Answer:

C 1/-3

Step-by-step explanation:

To find the slope I found two-point of the graph that were easy to point out and used rise over run to determine the slope!

In this case, rise was one because it went from -1 to 0 and run was -3 because it went from 0 to -3

Hope this helps!!

Please tell me if I have messed up!!

I enjoy learning form my mistakes:)

*Also if I am correct could you please mark me brainliest? I am trying to level up!!

The line is on -3 and -1 so I think the answer is -1/3 .

5.4-0.25 I'm so confused

Answers

Answer:

5.15

Step-by-step explanation:

Answer:

5.15

Step-by-step explanation:

5.4 = 5.40

 5.40

- 0.25

= 5.15

because 0.40 - 0.25 = 0.15

PLS HELP ASAP PICTURE ATTACHED

Answers

Answer:

100000+)9(87)238388292838

What is the missing divisor?

34,000 ? = 340

Answers

Answer:

34,000 ÷ 1000 =340

Step-by-step explanation:

Answer:

100, If you decide 34000 by 340 you can easily see it needs to be devided by 100 to get the answer

22) A corporate charter specifies that the company may issue up to 20 million shares of stock. The company sells 12 million shares to investors and later buys back 3 million shares. The current number of shares of treasury stock after these transactions have been accounted for is:

Answers

Answer:

  11 million

Step-by-step explanation:

20 -12 +3 = 11

There will be 11 million shares of stock in the treasury.

Find the slope of the line that goes through the points (-4,4) and (4,6)

Answers

Answer:

1/4

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(6-4)/(4-(-4))

m=2/(4+4)

m=2/8

m=1/4

What is the smallest integer value that makes the inequality true? 3x - 10 > 2x + 4

Answers

Answer:

x=0 is the smallest integer

Step-by-step explanation:

can someone help me with this i’ll give you 25 points

Answers

Answer:

Um.... Wouldn't angle 1 just be 180-17 which is 163. Angle 3 would be equal to angle 1 so also 163. Angle 4 and angle 2 are equal to 17.

Step-by-step explanation:

Answer:

angle1 = 163°

angle2 = given in diagram

angle 3 = alternating angle 1, so 163°

angle 4 = alternating angle 2, so 17°

Step-by-step explanation:

noticing that the two lines intercept each other at the centre, making angles going around that interception point add up to 360° (you can use this information to check the answers).

an angle on a straight line is always 180°, so given that angle2 is 17°, you can already do 180 - 17 to get an easy answer to angle 1 and 3.

At Pizza Pi, 68% of the pizzas made last week had extra cheese. If 17 pizzas had extra cheese, how many pizzas in all were made last week?

Answers

Answer: 50

Step-by-step explanation:

Answer:

50%

Step-by-step explanation:

Help help help help help

Answers

Answer:

100°

Step-by-step explanation:

Answer:

∡5=100°

Step-by-step explanation:

∡5 is perpendicular to the 100° above, therefore your answer is ∡5=100°.

Brainliest would be appreciated! :-)

A graph has a constant of proportionality of 35. Let y represent miles and x represent gallons.

What is the unit rate of the relationship?

Enter your answer in the box 100 POINTS WILL MAKE IT BRAINLIEST

Answers

X = 35y gallons per mile

B. Direction: Rewrite the each of the following using EXPONENTS.

Example: Two to the seventh power =2⁷ 7 × 7 × 7 = 7³

5) six with the exponent
6) 10 × 10 × 10
7) 3 × 3 × 3 × 3

Answers

5) 6 with the exponent.

6 can be with any exponent (since you haven't given it) like, 6¹, 6², 6³, 6⁴ etc. But, since the value is not given..it'll most probably be 6¹.

6) 10 × 10 × 10 = 10³

7) 3 × 3 × 3 × 3 = 3⁴

_____

Hope it helps ⚜

5. 6^1
6. 10^3
7. 3^4
I think this is what you’re asking for?
#brainliest

I need a lot of help

Answers

Answer:

lol wat r u doing .........

Ezra has $10 to spend on a taxi ride. The taxi company charges a flat rate of $4, plus $1.50 per mile. What is the maximum amount of miles Ezra can afford to travel in this taxi?

PLS ANSWER ASAP I WILL GIVE BRAINLIEST AND WILL GIVE 22 POINTS!!!!

Answers

The maximum amount of miles Ezra can afford is 6 miles

-2(4x-6)=6-6x help me

Answers

Answer:

x=3

Step-by-step explanation:

you have to move the terms collect like terms and divide both sides and down load photo math that helps alot with giving answers

Evaluate the function when x = -1,0, and 4.
9. g(x) = 3 -
X
g(-1) =
g(0) =
+
g(4) =



Plz help me I need the answer

Answers

G(-1) = 3/2
G(0) = 3
G(4) = 1

Yep me pls thanks you so much

Answers

Answer:

32

Step-by-step explanation:

To solve, simply put 4 in place of x. 8 times 4 is 32

I need help with this please hurry it's timed​

Answers

Answer:

c 5.34

Step-by-step explanation:

There is a cookie jar in Julio's kitchen filled with 7 cookies. His mother bakes some more cookies. Now there are 14 cookies. How many cookies did Julio's mother bake.

Answers

Answer:

His mother baked 7 more cookies

The ration of boys to girls in the classroom is 5 to 7 if there are 35 girls then how many boy are there construct a tape diagram to demonstrate

Answers

Answer:

5+7=12-35=-23

Step-by-step explanation:

The perimeter of a square is 252 feet how long is each side
I’m not sure how to set up this problem

Answers

Answer:

63 feet

Step-by-step explanation:

perimeter is the sum of all four sides and, since it's a square then all sides are equal

to find how long each side is divide 252 by 4

252÷4 = 63

Answer:

It seems like you want to solve the question, so I'll not include the answer

Square has 4 sides and each sides are identical length so.

And Perimeter is just the total length of the sides of the shape. So...

Mathematically

Perimeter of square = 4s

where s is length of one side of square

Mr.Plump lost 30 pounds from his original weight of 240 pounds. What percent weight loss did her achieve?

Answers

Answer:

12.5%

Step-by-step explanation:

I divided 30 (the amount he lost) by 240 (his original weight). I get 0.125, but need to move the decimal over 2 places to get the percentage.

12.5 because when you divide 30 by 240 you get 0.125 but all I had to do is move the decimals 2 spaces over and that would change the answer too 12.5

Determine if the sequence below is arithmetic or geometric and determine the common difference/ratio in simplest form.




64,16,4,…

This is a (geometric/arithmetic) sequence and the (common ratio/common difference) is equal to ____.

Answers

Step-by-step explanation:

this is clearly not a linear sequence (the terms don't have the same difference).

so, it has to be a geometric sequence.

the common ratio is r.

s2 = s1 × r

16 = 64 × r

r = 16/64 = 1/4

control :

s3 = s2×r

4 = 16 × 1/4 = 4

correct.

Common ratio is 1/4

What is geometric progression ?

A geometric progression or a geometric sequence is the sequence, in which each term is varied by another by a common ratio. The next term of the sequence is produced when we multiply a constant (which is non-zero) to the preceding term. It is represented by:

a, ar, ar2, ar3, ar4, and so on.

Where a is the first term and r is the common ratio.

This is a geometric sequence since there is a common ratio between each term. In this case, multiplying the previous term in the sequence by 1/4

gives the next term. In other words, [tex]a_n=a_1r^n^-^1[/tex]

Hence, common ratio r = 1/4

To learn more about the geometric progression here:

https://brainly.com/question/29657988

#SPJ7

2+2 (I have been having a lot of trouble on this

Answers

Answer:

it's 4

Step-by-step explanation:

I hope it helps .....

Answer:

4

Step-by-step explanation:

2+2=4

I'll give a real world problem to help you understand. So pretend that you have 2 cookies on your plate and your sibling has 2 cookies on their plate too. If your siblings gives you their 2 cookies and you add them to your plate, how many cookies are on your plate now? There should now be 4 of them!

Does this help?

single simplified fraction
X/3+X/5​

Answers

8/15x
hope this helps:)

The table below shows the number of tadpoles in a pond after a certain number of months.
PLEASE HELP

Answers

Answer:   Choice D)  6 months to 10 months

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

Explanation:

x = number of monthsy = number of tadpoles

Highlight the rows that correspond to 6 months and 10 months.

This leads to the two points (6,330) and (10,460).

Apply the slope formula. This is because the slope is the average rate of change.

m = (y2-y1)/(x2-x1)

m = (460-330)/(10-6)

m = 130/4

m = 32.5

This is the average rate of change from month 6 to month 10.

Let A = 32.5 so we can compare it later.

---------------------------

Now let's focus on months 4 and 8

We get the two points (4, 300) and (8, 410)

Use the slope formula again

m = (y2-y1)/(x2-x1)

m = (410-300)/(8-4)

m = 110/4

m = 27.5

Let B = 27.5

--------------------------

For the third answer choice, we have the points (2,240) and (8,410)

Once again, use the slope formula.

m = (y2-y1)/(x2-x1)

m = (410-240)/(8-2)

m = 170/6

m = 28.33 approximately

Let C = 28.33

--------------------------

Lastly for choice D we have the points (4,300) and (10,460)

So,

m = (y2-y1)/(x2-x1)

m = (460-300)/(10-4)

m = 160/6

m = 26.67 approximately

Let D = 26.67

--------------------------

To recap everything, we found these four average rates of change for choices A through D

A = 32.5B = 27.5C = 28.33 (approximate)D = 26.67 (approximate)

We see that A is the largest of that group. Therefore, the greatest average rate of change of that group is from month 6 to month 10. This is why choice A is the final answer.

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