The theater sells two types of tickets: adult tickets for $15 and
child tickets for $11.
Last night, the theater sold a total of 147 tickets for a total of
$1889. How many adult tickets did the theater sell last night?

Answers

Answer 1

Answer:

68

Step-by-step explanation:

Let x=adult tickets and y=child tickets

1) 15x+11y=1889

2) x+y=147

multiply equation 1 by -1/11 on both sides to get:

-(15/11)x-y=-171.73

add new equation with equation 2 to get

-4/11x=-24.73

Isolate x to get:

x=67.99999

Round up to get 68 adult tickets


Related Questions

someone please please help me with this !

Answers

Answer:

4y+x - 16 = 0

Step-by-step explanation:

Given the equaton y - 2 = 4 (x-1)

Get the slope of the line

y - 2 = 4x  - 4

y =  4x - 4 + 2

y = 4x - 2

Since y = mx+b for a line

mx = 4x

m = 4

Slope of a line perpendicular M = -1/4

If the line passes through the point (-4, 5)

The equation in point slope form is expressed as y-y0 = m(x-x0)

Substitute;

y - 5 = -1/4(x-(-4))

y - 5  = -1/4(x+4)

4(y-5) = -(x+4)

4y - 20 = -x-4

4y+x-20+4 = 0

4y+x - 16 = 0

This gives the required equation

I need to find x pls help

Answers

x = 120 degrees

Explanation:

Draw the line BC

(Angle DBC is 90 degrees because it is an angle in a semicircle.)
Angle DBC = 90 degrees

Angle ABC = Angle ABD + Angle DBC = 30 + 90 = 120 degrees

What is the degree of 5x + 3x2 - 4x+1?
3
4
5
6

Answers

Step-by-step explanation:

option A

3 IS CORRECT

HOPE IT HELPS

Answer:

3

Step-by-step explanation:

edge 2021

By what percent will a fraction increase if its numerator is increased by 60% and its denominator is decreased by 20%?

Answers

Answer:

133.33%

Step-by-step explanation:

x/y * k = 1.6x / 1.2y

k = (1.6x / 1.2y) / (x/y)

k = 1.6/1.2

k = 4/3 = 1.3333 = 133.33%

Please help, it’s due tonight. I do have my answer I just need help explaining how it work for any number..

Answers

Answer:

Yes it is 10!

Step-by-step explanation:

5+20=25

25x5=125

125+125=250

250-200=50

50/5=10

What amount would yield an interest of $66 in 2 years at 3% p.a.?

Answers

It would be 12 because you have to solve for the percent

By how many % did 100 decrease to 79?

Answers

Answer:

21%

Step-by-step explanation:

Since both 100 and 79 is the percentage, you need to find how much has decreased, so you have to subtract.

100-79 = 21

So, 21% was decreased.

A farmer stacked hay bales. The volume of each hay bale is 10 2/3 cubic feet. The farmer stacked eight hay bales on top of one another. What is the total height of 1 hay bale? What is the total height of the 8 stacked hay bales? L=1 1/3ft W=4ft

Answers

Given:

Stacked Hay Bales:

L = 1 1/3 feet
W = 4 feet

The volume of each hay bale is equal to 10 2/3 cubic feet
The number of hay bales stacked = 8

To solve for the height, use the volume of the bales and the given length and width of a single bale.

V = l x w x h
10 2/3 cubic feet = 1 1/3 feet * 4 feet * height
height = 2 feet

So, if the height of one bale is 2 feet, then the height of 8 bales stacked is

2 feet * 8 bales = 16 feet

Therefore the height of the stacked hay bales is 16 feet.

Escriba larazon entre la distancia (d)recorrida por un automóvil y el tiempo (t)empleando velocidad (v) es una razón entre distancia y el tiempo y de valor de su velocidad v=d/t

Answers

Answer:

V = d / t

Step-by-step explanation:

La velocidad se define como la relación entre la diatancia cubierta por un cuerpo y el tiempo necesario para cubrir esa distancia.

Si el tiempo empleado se da como (t)

La distancia recorrida se da como (d)

Podemos escribir la velocidad (V) en términos de disance y tiempo como;

V = d / t

Convert to percentages. List answers starting from the top. *
41%
1.836
6/50

Answers

Answer:

41% is already in percentage form.

1.836 is 183.6 %

6/50 is 12%.

Step-by-step explanation:

41% is already in percentage form, so I'm just going to leave that as it is.

1.836 has 1 whole already, so we know it's going to be more than 100%. Than we have that extra 83.6, so that would be 183.6% as a decimal.

6/50, well we divide to get 0.12, and 0.12 as a percent is 12%.

Please mark branliest, thanks!

How important is career success to you

Answers

Answer:

By having a career goal, you can start to manage your career. You can assess where you are so you know when the time is right to make your next move. That means you can ensure you're ready for change by planning what training and skills you need as well as taking time to develop your profile.

Answer:

By having a career goal, you can start to manage your career. You can assess where you are so you know when the time is right to make your next move. That means you can ensure you're ready for change by planning what training and skills you need as well as taking time to develop your profile

) Factorise
a2 + ab + a
Answer

Answers

Answer:

Step-by-step explanation:

a^2+ab+a

a(a+b+1)

Answer:

a(a+b+1). was this helpful

What is 6574893 + 7?????

Answers

Answer:

6574900

Step-by-step explanation:

Answer:

6,574,900

Step-by-step explanation:

have a good day

Find the value of g in the figure given below.
Assume that the lines are parallel.

Answers

Answer:

d=60-degree (Vertically opposite angles)

e=d=60-degree (Alternate angles)

e+g=180-degree (Being in a straight line)

60+g=180

g=180-60

g=120-degree

Answer:

angle g = 20 degree

Step-by-step explanation:

60 degree + angle g = 180 degree (being co exterior angles)

angle g = 180 - 60

angle g = 120 degree

Note : co interior angles are the angles formed on the exterior of the two parallel lines and which are on the same side of the transversal  .

If 2^x = 5, what is 2^3x - 4?

Answers

Answer:

the value of x is 2^9/4 then 2^3x-4=2^11/4

The difference between two numbers is 51 four times the smaller is equal to six more than the larger what are the numbers

Answers

Answer:

Smaller #: 19

Larger #: 70

Step-by-step explanation:

Step 1:

We can set the smaller number as x. We can find the larger number by adding 51, hence represented as 51+x.

Step 2:

We can write an equation with the given information. Four times the smaller number is equal to six more than the larger:

[tex]4x=51+x+6\\3x=57\\x=19[/tex]

If the smaller number represented as x is [tex]\fbox{19}[/tex] , then the larger number represented as 51+x would be [tex]\fbox{70}[/tex] .

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

Help Pls. Find the radius of Circle Q.

Answers

The square root of 61
Or in a decimal 7.81025

The radius of the given circle is 13 unit.

What is a chord of a circle?

The chord of a circle can be defined as the line segment joining any two points on the circumference of the circle.

What is radius of a circle?

A radius is a measure of distance from the center of any circular object to its outermost edge or boundary.

What is Pythagoras theorem?

Pythagoras theorem states that "the square on the hypotenuse of a right-angled triangle is equal in area to the sum of the squares on the other two sides".

According to the given question

We have a circle with center Q and two chords AD and BC.

And, AD = 4x + 4 and BC = 6x -6

Since, both the chords are at the same distance from the center of the circle, so their lengths will same.

⇒ AD = BC

⇒ 4x + 4 = 6x -6

⇒ 4 + 6 = 6x -4x

⇒ 10 = 2x

⇒ x = 5

Therefore,

AD = 4x + 4 = 4(5) + 4 = 20 +4 =24

and, BC = 6x - 6 = 6(5) - 6 = 30 -6 = 24

Also, AP = AD/2 = 24/2 = 12

Now, in right angle triangle QPA we have

[tex]AQ^{2} =QP^{2} +AP^{2}[/tex]     ( By Pythagoras theorem)

⇒ [tex]AQ^{2} = 5^{2} +12^{2}[/tex]

⇒[tex]AQ^{2} = 25 + 144[/tex]

⇒[tex]AQ^{2} = 169[/tex]

⇒[tex]AQ =\sqrt{169}[/tex]

⇒ AQ = 13

Hence, the radius of the given circle is 13 unit.

Learn more about radius and chord of the circle here:

https://brainly.com/question/1654080

#SPJ2

Balr's new computer costs less than twice the cost of her old computer. Her new computer cost $709. How much did Blair's old computer cost?

Answers

Answer:

$357

Step-by-step explanation:

Which table represents a quadratic function?
f(x)
x
x
fx)
f(x)
x
f(x)
-4
-5
-4
-4
2
-10
-4
0.5
47
-2
-2
-2
1-6
-2
1
ok
10
0
1
0
2
0
2
2
-7
N
4
2
6
co
N
4
4
2
4
7
4
10
4
8
0

Answers

9514 1404 393

Answer:

  see below

Step-by-step explanation:

The x-values in each table are evenly-spaced (increasing by 2). So, the quadratic function can be identified by its second differences: they will be a non-zero constant.

Table 1 has first differences that are constant at 3. -2-(-5) = 3, for example. It represents a linear function.

Table 2 has first differences of 4, 8, 4, 4, neither constant, nor linearly increasing. The function does not have a name.

Table 3 has first differences of -9, -3, +3, +9, and these have differences of +6. This represents a quadratic function.

Table 4 has first differences of 0.5, 1, 2, 4. These have a constant ratio, as do the values in the table. It represents an exponential function.

The table that represents a quadratic function is C. Table 3.

What is a quadratic function?

A quadratic function simply means a function that's in the form of f(x) = ax² + bx + c.

In this case, the table that represents a quadratic function is table 3. It has first differences of -9, -3, +3, +9, and these have differences of +6. It can be deduced that in the quadratic function, b and x are numbers.

Learn more about quadratic function on:

https://brainly.com/question/12144333

Which of the following is a rational number but not an integer?

74, 3/10, -25, or 170

Answers

Answer:

3/10

Step-by-step explanation:

As,

Integers includes whole numbers, and negative of the whole numbers.

And Rationals includes every fraction, Integers and negative fraction.

So,

170, -25, and 74 are both Integers and Rationals.

But,

Only 3/10 is a fraction included only in rationals and not in Integers

Help me answer ??????

Answers

Answer:

the triangle is not a right angle

Step-by-step explanation:

5²+12²=169

15²=225

B The angle is not a right triangle because 5^2 + 12^2 is not equal 15^2

Given v = u + 5t; Find v when u= -15 and t=4

Answers

v = u + 5t

v = -15 + 5(4)

v = -15 + 20

v = 5

Answer:

[tex]\huge\boxed{Answer\hookleftarrow}[/tex]

[tex]v = u + 5t[/tex]

Given,

[tex]u = - 15 \\ t = 4 \\ v = \: ?[/tex]

To find the value of v, we must substitute the values of u & t in the equation v = u + 5t.

[tex]v = u + 5t \\ v = ( - 15) + 5(4) \\ v = - 15 + 20 \\ v = 5[/tex]

The value of v is 5.

ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ

# ꧁❣ RainbowSalt2²2² ࿐

What is the solution set for -2n – 2 > 2?

Answers

Answer:

n < -2

Step-by-step explanation:

-2n – 2 > 2

-2n (– 2 + 2) > 2 + 2

-2n > 4

-2n/-2 > 4/-2

n < -2

A sighting is made of a sailboat from a lighthouse. If the lighthouse is 123.5 m above
the level of the water, how far is the sailboat from the shore if the angle of depression
is 18°?

Answers

I’m also stuck on this question

Which is equivalent to a+(-a)

Answers

Answer:

Step-by-step explanation:

a+(-a)

=a-a

=0

how many questions out of 42 do I need to get right to score 75?​

Answers

Answer:

31 questions, but it's impossible to score 75%.

Step-by-step explanation:

It's impossible to get exactly a score of 75% out of 42 questions. However, you can get the next closest percentage, which is rounded up to 74% with 31 questions right out of 75.

This is because 31 / 42 = 0.738... You can round 0.738 to 0.74. Then multiply 0.74 by 100, which gives you 74. This means the closest score you can get to 75 is 74% with 31 questions.

You can also score 76% with 32 questions right out of 42 questions. This is because 32 / 42 = 0.761... You can round 0.761 to 0.76. Then multiply 0.76 by 100, which gives you 76.

Suppose an urn has six balls, three red, two blue, and one yellow. On any draw from the urn, all balls in the urn are equally likely to be drawn. Suppose that two balls are drawn, in sequence without replacement, that is, the second ball is drawn without replacing the first ball in the urn. What is the probability that the second ball drawn is blue

Answers

Answer:

1 / 3

Step-by-step explanation:

Number of balls :

Red, R = 3 ; Blue, B = 2 ; Yellow, Y = 1

Total = 6

From two draws without replacement, probability that 2nd draw is blue :

Possibilities :

P(RB) or P(YB) or P(BB)

P(RB) = 3/6 * 2/5 = 6/30

P(YB) = 1/6 * 2/5 = 2 /30

P(BB) = 2/6 * 1/5 = 2 / 30

HENCE,

P(RB) + P(YB) + P(BB)

6/30 + 2/30 + 2/30 = 10/30 = 1/3

A man borrows $500 and agrees to repay $750 at the end of 4 years. What is the rate of simple interest charged?

Answers

Answer:

The rate of simple interest is 0.125, or 12.5%.

Step-by-step explanation:

If the man must repay $750 after 4 years on a $500 loan, the simple interest would be ($750-$500), or $250.

The simple interest formula is i = p*r*t.  Solving this for the interest rate, r, yields

        i

r = ----------

       p*t

and so, with i = $250, p = $500 and t = 4 yr, we find r as follows:

         $250

r = ----------------- = 0.125

         $500*4

The rate of simple interest is 0.125, or 12.5%.

sam wants to fence his rectangular garden plot along its length on the front side. The perimeter of the plot is 24 meters, and its length is 3 times its width

Answers

Answer:

Length: 12 meters

Step-by-step explanation:

Step 1:

Let us start with the formula of the perimeter of a rectangle, [tex]P=2l+2w[/tex], where l represents the length of the rectangle, and w represents the width of the rectangle.

We can set width as variable x. We are also given that the length is three times the width, hence it can be represented as 3x.

Step 2:

We can now write our equation and solve for x :

[tex]24=2x+2*2x\\24=2x+4x\\24=6x\\x=\fbox{4}[/tex]

We set x as width, so the width is 4 meters. However, in this problem we are looking for the length. The length is three times the width, so it would be [tex]\fbox{12}[/tex] meters.

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

Answer:

From the given information, there are two equations in terms of x and y:

2x + 2y = 24 (perimeter of the rectangular plot)

         x = 3y (relationship between length and width)

The second equation is expressed in terms of x, so directly substitute the value of x into the first equation and find y:

2(3y) + 2y = 24

              y = 3

Substitute y in the second equation to find x:

x = 3(3)

x = 9

The fencing cost is $25 multiplied by the length of the side Sam wants to fence: 25 × 9 = 225. Therefore, Sam needs to spend $225 to fence that side of his plot.

Step-by-step explanation:

Please help solve the question in the image

Answers

Answer:

✅On average Albany gets 20.967 inches rain pee year and Zachary gets 25.153 inches rain per year.

✅On average, it rains more in Zachary in a year.

Step-by-step explanation:

Mean annual rainfall on average = total amount of rainfall for the period of years ÷ 10

✔️Mean Annual rainfall for Albany (in.):

= (22.82 + 19.83 + 28.40 + 23.35 + 30.78 + 21.34 + 11.20 + 17.04 + 18.63 + 16.28) ÷ 10

= 20.967

✔️Mean Annual rainfall for Zachary (in.):

= (26.41 + 23.54 + 30.02 + 26.35 + 34.24 + 25.74 + 18.98 + 21.26 + 23.61 + 21.38) ÷ 10

= 25.153

✅Therefore, on average Albany gets 20.967 inches rain pee year and Zachary gets 25.153 inches rain per year.

✅On average, it rains more in Zachary in a year.

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