A group of 12 friends bought tickets for an afternoon concert. However, not all of the friends were able to sit together. Tickets for floor seats cost $15 each, and tickets for tier seats cost $70 each. The total cost of the tickets was $345. How many tickets for tier seats did they purchase

Answers

Answer 1

Answer:

3 tier seats tickets

Step-by-step explanation:

Let the friends that bought floor seats be x and let the friends that bought tier seats be y.

Thus;

x + y = 12 - - - (eq 1)

Floor seats tickets cost $15 each, and tier seats tickets cost $70 each. The total cost of the tickets was $345. Thus;

15x + 70y = 345 - - - (eq 2)

Let's make x the subject in eq (1)

x = 12 - y

Putting this for x in eq 2 gives;

15(12 - y) + 70y = 345

180 - 15y + 70y = 345

55y = 345 - 180

55y = 165

y = 165/55

y = 3

Put 3 for y in x = 12 - y to get;

x = 12 - 3

x = 9

Thus, they purchased 9 floor seats tickets and 3 tier seats tickets


Related Questions

Which point on the x-axis lies on the line that passes through point P and is perpendicular to line MN?

Answers

Answer:

What is 1/3 of 814

Step-by-step explanation:

What is 1/3 of 814

Answer: I think C

Step-by-step explanation:

What is the outlier in the set of data? (2,4,6,8,9,9,45)​

Answers

Answer:

45

Step-by-step explanation:

This is the outlier because it is much larger than all of the other numbers in the set.

Convert the fraction greater than one into a mixed number 9/4

Answers

Answer: 2 1/4

Step-by-step explanation:

What is the 11th term of the geometric sequence with this explicit formula?
an = 5.(-2)(n-1)

Answers

Answer:

5,120

Step-by-step explanation:

an = 5.(-2)^(n-1)

a11 = 5.(-2)^(11-1)

= 5.(-2)^10

= 5.(1,024)

= 5,120

Seventy-six percent of the light aircraft that disappear while in flight in a certain country are subsequently discovered. Of the aircraft that are discovered, 67% have an emergency locator, whereas 88% of the aircraft not discovered do not have such a locator. Suppose a light aircraft has disappeared. (Round your answers to three decimal places.)

Required:
a. If it has an emergency locator, what is the probability that it will not be discovered?
b. If it does not have an emergency locator, what is the probability that it will be discovered?

Answers

Answer:

a. 0.0535 = 5.35% probability that it will not be discovered

b. 0.9465 = 94.65% probability that it will be discovered

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

In which

P(B|A) is the probability of event B happening, given that A happened.

[tex]P(A \cap B)[/tex] is the probability of both A and B happening.

P(A) is the probability of A happening.

a. If it has an emergency locator, what is the probability that it will not be discovered?

Event A: Has an emergency locator.

Event B: Not discovered.

Probability of having an emergency locator:

67% of 76%(discovered).

100 - 88 = 12% of 100 - 76 = 24%(not discovered). So

[tex]P(A) = 0.67*0.76 + 0.12*0.24 = 0.538[/tex]

Probability of having an emergency locator and not being discovered:

12% of 24%. So

[tex]P(A \cap B) = 0.12*0.24[/tex]

Desired probability:

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.12*0.24}{0.538} = 0.0535[/tex]

0.0535 = 5.35% probability that it will not be discovered.

b. If it does not have an emergency locator, what is the probability that it will be discovered?

Event A: Has an emergency locator.

Event B: Discovered.

Probability of having an emergency locator:

67% of 76%(discovered).

100 - 88 = 12% of 100 - 76 = 24%(not discovered). So

[tex]P(A) = 0.67*0.76 + 0.12*0.24 = 0.538[/tex]

Probability of having an emergency locator not being discovered:

67% of 76%. So

[tex]P(A \cap B) = 0.67*0.76[/tex]

Desired probability:

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.67*0.76}{0.538} = 0.9465[/tex]

0.9465 = 94.65% probability that it will be discovered

please answer ASAP (math)

Answers

Answer: Undefined

Step-by-step explanation:

Replace x with -5

Jenna just got done jumping at the Trampoline center. The total cost of the session was $15.23

She had to pay an entrance fee of $7.25 and $1.45 for every minute she was on the trampoline.

Answers

Answer:

≈ 5.5 minutes.

Step-by-step explanation:

Let m = number of minutes on the trampoline.

[tex]1.45m+7.25=15.23\\1.45m=7.98\\m=5.5[/tex]

She was on the trampoline for approximately 5.5 minutes.

Answer:

= 5.5 minutes

Step-by-step explanation:

1.45  + 7.25  = 15. 23

1. 45 = 15. 23 - 7. 25

1. 45 = 7 . 98

m = 5.5

Hope this answer helps you :)

Have a great day

Mark brainliest

Help please!
Fully factorise

Answers

Answer:

a.8y³-6y

taking common

2y(4y²-3)

is a required answer

b.

3x²-20x+12

doing middle term factorization

3x²-18x-2x+12

3x(x-6)-2(x-6)

(x-6)(3x-2)

is a required answer .

a. 2y(4y^2-3)

B (x-6) -2 (x-6)

Average U.S. income is usually reported as
income.
a.
b.
seasonally adjusted
virtual
mean
C.
d.
median​

Answers

I think it’s mean :))

what are the integers from 6 to 25​

Answers

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

Answer:

The integers from 6 to 25 are [tex]\large\bold{7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22,23, 24}[/tex]

Step-by-step explanation:

Natural numbers are numbers that are greater than 0 (all numbers starting from positive 1). All natural numbers are integers. So, in this case integers = natural numbers (note :- only in this case)

Find the volume of the sphere. Round your answer to the nearest tenth.

Answers

Answer:

D. 268.1 m³

Step-by-step explanation:

Volume =  4/3 * 3.14 * 4³

Volume = 4/3 * 201

Volume = 268 ≈ 268.1

If my answer is incorrect, pls correct me!

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

-Chetan K

Easy please help me with this assignment

Answers

Step-by-step explanation:

y=x may be

may it helped u ....

It’s actually the last equation (I)
If u plug in the x coordinate in the table (eg.2) into the equation y=3x-2, you are left with y=3(2)-2 which equals 6-2=4
So y=4
Checking the corresponding value for that x value, the y value is 4 so the equation is correct.

If the measure of arc CB is 8/3 units, what is the measure of CAB?

Answers

Question:

If the measure of arc CB is [tex]\frac{8}{3} \pi[/tex] units, what is the measure of ∠CAB?

Answer:

120°

Step-by-step explanation:

The figure has been attached to this response.

The figure shows a circle centered at A and has a radius of 4 units.

Also, the length of the arc CB (as given in the question) is  [tex]\frac{8}{3} \pi[/tex] units.

The length L of an arc is given by;

L = [tex]\frac{\beta }{360} * 2\pi * r[/tex]         -----------------(i)

Where;

β = angle subtended by the arc at the center of the circle and measured in degrees

r = radius of the circle

From the question;

β = ∠CAB

r = 4 units

L =  [tex]\frac{8}{3} \pi[/tex]

Substitute these values into equation (i) as follows;

[tex]\frac{8}{3} \pi[/tex] = [tex]\frac{\beta }{360} * 2\pi * 4[/tex]

=>  [tex]\frac{8}{3} \pi[/tex] = [tex]\frac{\beta }{360} * 8\pi[/tex]

Cancel 8[tex]\pi[/tex] on both sides    

[tex]\frac{1}{3}[/tex] = [tex]\frac{\beta }{360}[/tex]

Cross multiply

3 x β = 360 x 1

3β = 360

Divide both sides by 3

[tex]\frac{3\beta }{3} = \frac{360}{3}[/tex]

β = 120°

Therefore, the measure of ∠CAB is 120°

What type of solution would tho following system have?
y=(9/3)x-2
y=3x-2

One Solution

No Solution

Infinite Solutions

Answers

Answer:

one solution I think is the answer

One solution I really hope this help

Keke's favorite book weighs 2lbs 14oz. How many total ounces does her book weigh? * ​

Answers

Answer:

i think it is 46

Step-by-step explanation:

Answer:

2.9lbs

Step-by-step explanation:

there are 14oz in a pound so 14/16 is 0.875. Rounded up to .9lbs.

There is a Chick-fil-a exactly 6 miles due east of Berkmar Middle School. There is also a Wal-Mart 6 miles due north of Berkmar Middle School. How far is the Chick-fil-a from the Wal-Mart? Leave your answer in its simplest radical form.

Answers

Answer:

6√2 miles

Step-by-step explanation:

Using the solution diagram drawn :

We have a right angled triangle, the distance between Walmart mad chick-FIL is a measure of the hypotenus of the right angled triangle ;

The hypotenus, = √(opposite² + adjacent²)

Hypotenus = √6² + 6²

Hypotenus = √(36 + 36)

Hypotenus = √72

Hypotenus = √36 * 2 = √36 * √2 = 6√2 miles

Resuelve
Una cadena de gasolineras realizará un sorteo, para lo cual entrega un boleto a cada uno de sus
clientes. En la ciudad de Nogales se repartieron 5/40 del total de los boletos, en ciudad Obregón 1/4, en
Hermosillo 4/16 y en la Ciudad de Guaymas 3/8 ¿en qué ciudad es más probable que viva el ganador?)

Answers

Answer:

Es un 37.5% probable que el ganador viva en la Ciudad de Guaymas.

Step-by-step explanation:

Dado que una cadena de gasolineras realizará un sorteo, para lo cual entrega un boleto a cada uno de sus clientes, y en la ciudad de Nogales se repartieron 5/40 del total de los boletos, en ciudad Obregón 1/4, en Hermosillo 4/16 y en la Ciudad de Guaymas 3/8, para determinar en qué ciudad es más probable que viva el ganador se deben realizar los siguientes cálculos:

Nogales = 5/40 = 1/8 = 0.125

Obregón = 1/4 = 0.25

Hermosillo = 1/4 = 0.25

Guaymas = 3/8 = 0.375

Por lo tanto, es un 37.5% probable que el ganador viva en la Ciudad de Guaymas.

Según las proporciones,  hay que es más probable que el ganador viva en Guaymas.

En la ciudad de Nogales se repartieron 5/40 del total de los boletos, por eso la proporción es [tex]\frac{5}{40} = 0.125[/tex]El la ciudad de Obregón 1/4, o sea, la proporción es [tex]\frac{1}{4} = 0.25[/tex].El la ciudad de Hermosillo 4/16, o sea, la proporción es [tex]\frac{4}{16} = 0.25[/tex].En la ciudad de Guaymas 3/8, o sea, la proporción es [tex]\frac{3}{8} = 0.375[/tex].

Por la proporción mas alta, es más probable que el ganador viva en Guaymas.

Un problema similar es dado en https://brainly.com/question/24615636

What's 1/24 + 4/8 simplified? ​

Answers

Answer:

13/24

Step-by-step explanation:

1/24 + 4/8

first make denominator equal

1/24 + 4*3/8*3

1/24 + 12/24 = 13/24

then check if it can be further simplified

13/24

It cannot so you're done!

Hope this helps!

Answer:

13/24

Step-by-step explanation:

reduce the frcation with 4

1/24 + 1/2

write all numerators above the least common denominator 24

1+12/24

Calcuate 1+12/ 24

which = 13/24

Help plz I’m confused

Answers

Answer:

C.

Step-by-step explanation:

[tex]\frac{2}{3}[/tex] is between 0 and 1

Only 1 point is between 0 and 1

C.

The answer is point C. 2/3 is a fraction between 0 and 1. And since point C is between 0 and 1, then the answer is point C

Write a number in which the digit 1 is worth 10 times as much as it is in 62,901

Answers

Answer:9

Step-by-step explanation:

No step

Answer:

the answer for this is 1

Step-by-step explanation:

cause ten times of 1 is 1.

Please don't confuse yourself with

1 times of 10.that one is 10

ten times of 1, means 1×1×1×1×1×1×1×1×1×1 it is still 1.

the second one is 10 ×1 =10.

The screen at Dallas’ AT&T Stadium is 175 feet wide. A movie theatre screen with similar dimensions is 40 feet wide with a screen area of 896 ft². What is the area of the screen at AT&T Stadium? Round to the nearest square foot.

Answers

Answer: The area of the screen at AT&T Stadium = 17150 square foot.

Step-by-step explanation:

When two shapes are similar then,

[tex]\dfrac{(\text{Side of first shape})^2}{(\text{Side of second shape})^2}=\dfrac{\text{area of first shape}}{\text{area of second shape}}[/tex]

As per given , we have

[tex]\dfrac{(175)^2}{(40)^2}=\dfrac{\text{Area of AT}\ \&\text{T Stadium }}{896}\\\\\Rightarrow\ \text{Area of AT}\ \&\text{T Stadium }=\dfrac{30625}{1600}\times896\\\\\Rightarrow\ \text{Area of AT}\ \&\text{T Stadium }=17150[/tex]

Hence, the area of the screen at AT&T Stadium = 17150 square foot.

Watch help video
Solve for 2. Round to the nearest tenth, if necessary.
5-3
O
52
х
N

Answers

Answer:

x = 3.3

Step-by-step explanation:

Reference angle = 51°

Hypotenuse = x

Adjacent = 5.3

Apply trigonometric function CAH, which is:

Cos 51° = Adj/Hyp

Cos 51° = 5.3/x

x*Cos 51° = 5.3

x = 5.3/Cos 51°

x = 3.3 (nearest tenth)

Solve P = 8/3 R + 30 for R.

Answers

Answer:

R = (3P-30)/8

Step-by-step explanation:

subtract 30 from each side to get:

P-30 = [tex]\frac{8}{3}[/tex]R

multiply each side by [tex]\frac{3}{8}[/tex] to get:

[tex]\frac{3}{8}[/tex] · P - 30 = R

R = (3P-30)/8

A pizza is cut into 3 slices. The first piece was 2over 9 and the second one was 2 over 7. How big or small was the last piece

Answers

Answer:

2/5

Step-by-step explanation:

ok

For brainlest pls ……..

Answers

Answer:

4.5 cm²

Step-by-step explanation:

The given shape is a parallelogram , and the area of a parallelogram is ,

Area :-

1/2 * b * h

So , that,

=> A = 1/2 * 2.5 * 1.8

=> A = 4.5 cm²

Answer:

A = 4.5 m²

Step-by-step explanation:

The area (A) of a parallelogram is calculated as

A = bh ( b is the base and h the perpendicular height )

Here b = 2.5 and h = 1.8 , then

A = 2.5 × 1.8 = 4.5 m²

Find the 66th term of the arithmetic sequence -28,-45,-62

Answers

Answer:

Using the formula

an = a of 1 + (n-1)(d)

an = -28 + (n-1)(-17)

simplify

an = -17n - 11

Now that we have the formula, we just plug in 66 for n

a66 = -17(66) - 11

a66 = -1133

A tortoise is walking in the desert. . It walks for 7 minutes at a speed of 8.75 meters per minute. For how many meters does it walk ?

Answers

Answer: 61.25 meters

8.75meters x 7mins= 61.25 meters

Step-by-step explanation:

Well it would be 8.75 ×7 which is 61.25m

At Bill’s Burger Barn, every time you buy a burger there is a one in eight chance of winning a free burger. Nicholas bought a hamburger every day for five days. What is the probability that Nicholas wins 1 free hamburger this week?

Answers

Answer:

im not sure about this one but my answer is 0.025.

Step-by-step explanation:

if there is a 1 out of 8 chance of getting a free burger,  convert that into 1/8. divide that by 5 and you get 0.025.

6 1/8 qt = ___ c please help

Answers

Answer:

24 1/2 cups

Step-by-step explanation:

we can change 6 1/8 into 49/4

there are 2 cups in 1 quart

now we can set up a proportion:

2÷1 = 'c'÷ 49/4

cross-multiply to get:

49/4 × 2 = c

49/2 = c

c = 24.5

explanation would really help​

Answers

Answer:

35

Step-by-step explanation:

the whole line is 49 and line DB is 30.

minus 16 from 30 so 30-16=14

then you minus line CB from EB so 49-14=35

that makes line EC 35

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