Students and adults purchased tickets for a recent school play. All tickets were sold at
the ticket booth (discounts of any type) were not allowed.
Student tickets cost $8 each, and adult tickets cost $10 each. A total of $1,760 was
collected. 200 tickets were sold.
b. Solve the system you create to find the exact number of student tickets sold and
adult tickets sold.

Answers

Answer 1

Answer:

120 student and 80 adult tickets

Step-by-step explanation:

8x + 10y = 1760

x + y = 200


Related Questions

Given that events A and B are independent with P(A) = 0.55 and P(B) = 0.72,
determine the value of P(AB), rounding to the nearest thousandth, if necessary.

Answers

Answer:

Step-by-step explanation:

For independent events,

P(AB)=P(A)orP(B)

= P(A)uP(B)

=P(A)×P(B)

= 0.55×0.72

P(AB)=0.396

Mark the angles and sides of each pair of triangles to indicate that they are congruent. NO LINKS!!!​

Answers

Answer: See the attached image below

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

Explanation:

The order of the lettering is important because the order tells us how the letters pair up.

For DCB and CDJ, we have D and C as the first letters. So that means angle D and angle C are congruent between the triangles. I've marked this in red. The other angles are handled the same way.

The congruences for the segments are then built up from the angles.

Translate and solve: 46 less than y is at least -184

Answers

Translate: y - 46 > -184

Possible answer: y > - 138

Solution:

y - 46 > -184

= y > - 184 + 46

= y > - 138

#CarryOnLearning

The Possible answer of the given statement could be as y > - 138.

What is a solution set to an inequality or an equation?

If the equation or inequality contains variable terms, then there might be some values of those variables for which that equation or inequality might be true.

Such values are called solution to that equation or inequality.

A Set of such values is called solution set to the considered equation or inequality.

Given information;  46 less than y is at least -184

To Translate: y - 46 > -184

WE can solve it as;

y - 46 > -184

y > - 184 + 46

y > - 138

Therefore, The Possible answer of the given statement could be as y > - 138.

Learn more about inequalities here:

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An unknown radioactive material is measured to have a half life of 3 months. When the material was first found, there was 2000mg. a) Write an equation that models the mass of the material, t months. b) Use your equation to determine the mass of material in 4 year c) Calculate around how many months it will take to have 750 mg left

Answers

Trfgfddhjjhzsdvbjufav

Answer:

OK!!.

N=N(½)ⁿ

n= Time/half life

N=Remaining Mass

N°=Initial Mass or Mass before decay.

t= time taken to decay(Its in Months in this case)

t½= Half Life of the Material. This is the time taken to decay to half its initial value.

N°= 2000mg

a).Equation that Models this is

since n=t/t½

N=N°(½)ⁿ =

N=N°(½)^t/t¹'². This should be your answer.

b). We're asked to find the remaining mass of substance in 4years.

t= 4years

Our Half life is in Months... So we gotta convert or time t from year to Months too.

4yrs === 4x12 = 48Months.

N° was given as 2000mg

N=N°(½)^t/t½

N= 2000(½)^48/3

N=2000(½)^16

Using your calc to evaluate (½)^16... Then multiply by 2000

N=0.0305mg will remain after 4years.

Or After 16Half Lives since 1 half life is 3months

c). We're looking for t this time

N=N°(½)^t/t½

Since it asked for 750mg to remain ... 750 is now our N --- Remaining Mass

750 = 2000(½)t/3

To Isolate "t" and make it the subject

750/2000 = (½)^t/3

0.375 = (½)^t/3

Taking ln(natural log) of both sides

Ln(0.375) = Ln(0.5)^t/3

From the rule of logarithm...

You can bring the power (I.e t/3) to the front

You'll have

Ln(0.375) = t/3Ln(0.5)

Dividing both sides by Ln(0.5) to isolate t

Ln(0.375)/Ln(0.5) = t/3

t/3 = 1.415

t= 3x1.415

t=4.25months.

Have a great day.

Hope this helps... I'm open to questions if you have any too.

PLS HELP ASAP ILL MARK BRAINLIEST Find the geometric probability of landing in the shaded area of the picture. The small circle has a diameter of 6 meters and the larger circle has a diameter of 54 meters. Show and explain all work.

Answers

Answer:

1/80

Step-by-step explanation:

(the area of the small circle)/(the area of the larger circle)

= (π× 3²)/(π× 27²)

(=> eliminate π)

= 3²/27² = (1/9)² = 1/81

since the shaded area is inside the larger circle,

the geometric probability =

1/(81-1) = 1/80

Please help meeeeeee!!​

Answers

Since m is parallel to n, the angle opposite to 4x-23 will be 2x+17. These are vertical angles, meaning they’re the same.
4x-23=2x+17
2x=40
x=20
Problem:-

Find x so that m || n. Show your work.

Solution:-

Since m || n, 4x – 23 = 2x + 17 by the Converse of alternate exterior angles theorem.

Solve for x.

[tex]\sf{4x-23=2x+17}[/tex]

[tex]\sf{4x-2x-23=2x-2x+17}[/tex]

[tex]\sf{2x-23=17}[/tex]

[tex]\sf{2x-23+23=17+23}[/tex]

[tex]\sf{2x=40}[/tex]

[tex]\sf{\frac{2x}{2}={\frac{40}{2}}}[/tex]

[tex]\sf{x={\color{magenta}{20}}}[/tex]

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

#Hope it helps!

(ノ^_^)ノ

Somebody Please Help!!!

Answers

Step-by-step explanation:

11. shape 1 => A = ½×17×10=85m²

shape 2=> A = 17×9 =153 m²

total area = 238 m²

12. shape 1 => A = 7×3= 21 m²

shape 2=> A = 3×2 = 6 m²

total area = 27 m²

Please help immediately! In desperate need!

Answers

9514 1404 393

Answer:

  see attached

Step-by-step explanation:

You know that f(0) = 2^0 = 1, so g(0) = -11 has been shifted down 12 units from f(x). A shift of half as much will be a shift down 6 units from f(x), or up 6 units from g(x).

In the attached, we have named the new function h(x). It is equivalent to g(x)+6. That is, you can add 6 to each of the g(x) table values to get the corresponding values for h(x).

Is 24/40 equal to four over five a true proportion

Answers

Answer:yes it is

hsyhsyxhsyxhsyhxysxys

Answer:

24/40 = 12/20 = 6/10 = 3/5 ...

so no 24/40 does not = 4/5

Step-by-step explanation:

Find the volume of the figure shown below.

A)15 units^3
B)30 units^3
C)9 units^3
D)None of these answers
E)There is not enough information given

Answers

Answer:

B. 30 units³

Step-by-step explanation:

the volume= 5×2×3 = 30

Solve x2 + 13x + 22 = 0 using the quadratic formula.

Answers

x^2 + 13x + 22 = 0

( x + 11 )( x + 2 ) = 0

x = - 11 Or x = - 2

tell this !!!!............​

Answers

Answer:

D

Step-by-step explanation:

Answer:

D....................

coz 100 has 0 so the number should at least have 0 in it

12 ducks fly overhead. Each of 6 hunters picks one duck at random to aim at and kills it with probability 0.6. What's the expected number of hunters who hit the duck they aim at?

Answers

Answer:

The expected number of hunters who hit the duck they aim at is 3.6

Step-by-step explanation:

Given;

number of hunters, n = 6

the probability of killing a duck, p = 0.6

The expected number of hunters who hit the duck they aim at?

In binomial distribution, the expected value is equal to the product of the number of trials and the probability of success.

The expected number of hunters who hit the duck they aim at is calculated as follows;

E = np

E = 0.6 x 6

E = 3.6

Therefore, the expected number of hunters who hit the duck they aim at is 3.6

true or false m angle 3 <m angle 6​

Answers

Answer:

False

Step-by-step explanation:

If you see closely, Angle 3 is slightly smaller than Angle 6''

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

i’m pretty sure the answer would be true

Someone help me please this is an emergency T.T

Answers

Answer:

x < 3

Step-by-step explanation:

The graph of f(x) is above the graph of g(x) for values of x less than 3.

Answer: x < 3

The waiting times between a subway departure schedule and the arrival of a passenger are uniformly distributed between and minutes. Find the probability that a randomly selected passenger has a waiting time minutes.

Answers

Answer:

Incomplete question, but I gave you a guide on the uniform distribution, and thus you just have to replace the values in these equations to find the desired probabilities.

Step-by-step explanation:

Uniform probability distribution:

An uniform distribution has two bounds, a and b.

The probability of finding a value of at lower than x is:

[tex]P(X < x) = \frac{a - x}{b - a}[/tex]

The probability of finding a value between c and d is:

[tex]P(c \leq X \leq d) = \frac{d - c}{b - a}[/tex]

The probability of finding a value above x is:

[tex]P(X > x) = \frac{b - x}{b - a}[/tex]

Between a and b minutes.

Here you get a and b for the uniform distribution.

Find the probability that a randomly selected passenger has a waiting time minutes.

Here you will have the value of x.

To bill customers for water usage, one city converts the number of gallons used into units. This relationship is represented by the equation u = 748g, where g is the total number of gallons of water used and u is the number of units.

Determine which statements about the relationship are true. Choose two options.

g is the dependent variable.
u is the dependent variable.
g is the independent variable.
u is the independent variable.
The two variables cannot be labeled as independent or dependent without a table of values.

Answers

Answer: u is the dependent variable

g is the independent variable

Step-by-step explanation:

Based on the relationship, represented by the equation u = 748g, where g is the total number of gallons of water used and u is the number of units, then :

u is the dependent variableg is the independent variable

What are the  independent variables and  dependent variable?

An independent variable serves as the  variable that one can manipulate then  control,  an experimental so one can actually record the effects.

Independent variable on the other hand serves as the cause which have an independent values compare to others.

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8 minus the difference of p and 4 un algebraic expression​

Answers

Answer:

8 - (p - 4)

Step-by-step explanation:

8 - (p - 4)

can someone help me please

Answers

Answer:  104 square feet

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

Explanation:

The horizontal pieces are the parallel bases

b1 = 17 and b2 = 9

The height is always perpendicular to the base, so h = 8

The 4 ft portion won't be used in the next section, so we can ignore it.

---------

Plug the values mentioned into the trapezoid area formula below. Simplify.

A = h*(b1+b2)/2

A = 8*(17+9)/2

A = 8*26/2

A = 8*13

A = 104 square feet

We can abbreviate "square feet" into "sq ft" or "ft^2" without quotes.

----------

As another approach, you can split the trapezoid into 2 triangles and a rectangle in between. Then find the area of each small piece, and add up those smaller areas to get the final answer. You should get 104. If you go with this approach, then you will use the 4 ft portion to help find the horizontal length of the triangle on the right.

Two buses leave towns 520 kilometers apart at the same time and travel toward each other. One bus travels 16 km/h slower than the other. If they meet in 2 hours, what is the rate of each bus?

Answers

Answer:

122 km/h

138 km/h

Step-by-step explanation:

distance = speed * time

One bus travels 16 km/h slower than the other

(s * 2)  + (s - 16)2 = 520

2s + 2s - 32 = 520

4s = 552

s = 552/4

s = 138 km/h

s - 16 = 122 km/h


[tex] \frac{9}{11} = 0. |?| |?| [/tex]
list the digits that repeat​

Answers

Step-by-step explanation:

9/11=0.81818181....

the digits that repeat is 81

Answer:

.81 repeating

Step-by-step explanation:

9/11 = 0.81 repeating.

Adam bought three kinds of
bagels at the bagel store. He
bought twice as many onion bagels as plain
bagels. He bought four more sesame
bagels than he did plain bagels. Adam ate
one of the sixteen onion bagels he bought
as soon as he got home. How many bagels
does Adam have left?

Answers

9514 1404 393

Answer:

  35

Step-by-step explanation:

The 16 onion bagels are twice as many as plain bagels, so there were 8 plain bagels.

There were 4 more sesame bagels than plain bagels, so there were 12 sesame bagels.

Adam has 8 plain, 12 sesame, and 15 onion bagels left, for a total of 35 bagels left.

i will mark brainliest
which statement best describes the are of Triangle ABC shown below?
A: it is going to have the area of a square of side lengths 6 units.
B it is twice the area of a square of side lengths 6 units.
C is one half the area of a rectangle with sides 6 units * 2 units.
Dit is twice the area of a rectangle with sides 6 units comes with two units.​

Answers

9514 1404 393

Answer:

  C is one half the area of a rectangle with sides 6 units * 2 units

Step-by-step explanation:

The area of any triangle is half the area of a rectangle of the same height and width. Here, the triangle has a width of 6 units and a height of 2 units. Its area is ...

  one half the area of a rectangle with sides 6 units by 2 units

Convert 64°F to °C (to the nearest tenth) using one of the following formulas: Fahrenheit to Celsius Celsius to Fahrenheit °C = (°F - 32) × 5/9 °F = 9/5 × °C + 32.

Answers

Answer:

20°C

Step-by-step explanation:

64-32 =32

32 ×5 =160

160/9 = 17.8

17.8 rounded to the nearest tenth is 20°C.

pls i need this one n i pass the class pls pls help me

Answers

9514 1404 393

Answer:

  x = 5

Step-by-step explanation:

The two triangles are similar by the ASA theorem. The ratio of long side to short side in each right triangle is the same:

  x/3 = 7.5/4.5

  x = 3(7.5/4.5) . . . . multiply by 3

  x = 5

Solve the following equation algebraically show the steps:


n/3 -5 = 5

Answers

[tex]\longrightarrow{\green{ \: n = 30 }}[/tex] 

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]

[tex] \frac{n}{3} - 5 = 5[/tex]

➼ [tex] \: \frac{n}{3} = 5 + 5[/tex]

➼ [tex] \: \frac{n}{3} = 10[/tex]

➼ [tex] \: n = 10 \times 3[/tex]

➼ [tex] \: n = 30[/tex]

Therefore, the value of n is 30.

[tex]\large\mathfrak{{\pmb{\underline{\blue{To\:verify}}{\blue{:}}}}}[/tex]

[tex] \frac{30}{3} - 5 = 5[/tex]

✒ [tex] \: 10 - 5 = 5[/tex]

✒ [tex] \: 5 = 5[/tex]

✒ [tex] \: L.H.S.=R. H. S[/tex]

Hence verified.

[tex]\bold{ \green{ \star{ \orange{Mystique35}}}}⋆[/tex]

PLEASE HELP! 10 POINTS! WILL GIVE BRAINLIEST!
The numbers of licensed drivers in four samples taken from a population of students are shown in the table below. Which of the following choices is most likely closest to the percentage of students in the population who are licensed drivers? Sample Size Number of Licensed Drivers 25 4 50 14 75 15 100 24 O A. 20% B. 24% C. 16% D. 28%​

Answers

Using the percentage concept, the amount that is closest to the percentage of students in the population who are licensed drivers is given by:

B. 24%.

What is a percentage?

The percentage of an amount a over a total amount b is given by a multiplied by 100% and divided by b, that is:

[tex]P = \frac{a}{b} \times 100\%[/tex]

Higher sample sizes lead to more accurate estimates, hence the percentage is given by:

[tex]P = \frac{24}{100} \times 100\% = 24\%[/tex]

Which means that option B is correct.

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Point A is located at (-23, -2). Point B is located at (-23,23). What is the distance
between point A and point B?

Answers

Answer:

25

Step-by-step explanation:

Since the x values are the same

the distaance is simply the difference in the y values

23 - (-2) = 25

Triangle T U V is shown. Side T U has a length of 5 units, side U V has a length of 8 units, and side T V has a length of 11 units.
Which statement is true regarding triangle TUV?

Angle T is the smallest angle.
Angle V is the smallest angle.
Angles U and V must be equal.
Angles U and T must be equal.
.

Answers

9514 1404 393

Answer:

  (b)  Angle V is the smallest angle

Step-by-step explanation:

The smallest angle is opposite the shortest side. Its vertex name will be the that of the vertex not involved in naming the shortest side.

The shortest side name is TU. The smallest angle is not T or U; it is V.

  Angle V is the smallest angle

Answer:

(b)  Angle V is the smallest angle

Step-by-step explanation:

Evaluate this expression for x=-5 and y=-5​

Answers

Answer:

[tex]x - 2y=5[/tex]

Step-by-step explanation:

Given

[tex]x = -5; y=-5[/tex]

[tex]x - 2y[/tex] --- missing from question

Required

Evaluate

We have:

[tex]x - 2y[/tex]

Substitute for x and y

[tex]x - 2y=-5 - 2*-5[/tex]

[tex]x - 2y=-5 +10[/tex]

[tex]x - 2y=5[/tex]

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