Tanzila is selling tickets to the MS127 musical. On the first day of ticket sales she sold 2 adults tickets and 10 child tickets for a total of $78. Then she sold $67 on the second day by selling 8 adults tickets and 5 child tickets. What is the price of one adult ticket and one child ticket?

Answers

Answer 1

Answer:

One adult ticket is $4 and one child ticket is $7

Step-by-step explanation:

Make a system of equations

2x + 10y = 78

8x + 5y = 67

Solve by elimination, multiply the 2nd equation by -2

2x +10y = 78

-16x -10y = -134

Add the equations

-14x = -56

x = 4

The price of one adult ticket is $4

Plug 4 in as x to find y

2(4) + 10y = 78

8 + 10y = 78

10y = 70

y = 7

The price of one child ticket is $7


Related Questions

Which side of AABC is the longest?

Answers

Answer:

B

Step-by-step explanation:

The side opposite the largest angle is the longest side.

Hope this helps

Yup! Option B is correct

Explanation:
From B to C the line is slanted making it look more longer than the rest!

ASAP A ramp into a building forms an 8° angle with the ground. If the entry point of the ramp is 7 feet from the building, how many feet from the ground is the end of the ramp? Round the solution to the nearest hundredth.

Answers

Answer: .98 feet

Step-by-step explanation: Took the test

Answer:

.98

Step-by-step explanation:

i took the quiz

Please answer correctly !!!!! Will mark brainliest !!!!!!!!!!!!!

Answers

Answer:

10 and 8

Step-by-step explanation:

Among fatal plane crashes that occurred during the past 70 ​years, 581 were due to pilot​ error, 56 were due to other human​ error, 579 were due to​ weather, 555 were due to mechanical​ problems, and 526 were due to sabotage. Construct the relative frequency distribution. What is the most serious threat to aviation​ safety, and can anything be done about​ it? Complete the relative frequency distribution below. Cause Relative Frequency Pilot error nothing​% Other human error nothing​% Weather nothing​% Mechanical problems nothing​% Sabotage nothing​%

Answers

Answer:

[tex]\begin{array}{ccc}cause&accidents&frequency\\pilot\ error&581&0.253\\human\ error&56&0.024\\weather&579&0.252\\mechanical&555&0.242\\sabotage&526&0.229\end{array}[/tex]

Pilot error, better training of pilots may reduce accidents.

Step-by-step explanation:

The total number of crashes is:

[tex]n = 581+56+579+555+526\\n=2297\ crashes[/tex]

The relative frequency is given by the number of accidents caused by each factor divided by the total number of accidents. The relative frequency distribution is:

[tex]\begin{array}{ccc}cause&accidents&frequency\\pilot\ error&581&0.253\\human\ error&56&0.024\\weather&579&0.252\\mechanical&555&0.242\\sabotage&526&0.229\end{array}[/tex]

The most serious threat to aviation​ safety is pilot error, a better training of current and future pilots could be a solution to reduce accidents.

algebraic fractions and formulae
(help me find Z)
thank you ❤❤​

Answers

Answer:

Step-by-step explanation:

z= y( z-y)/x

z = yz - y^2 /x

zx = yz -y^2

y^2 = yz - zx

y^2 = ( y- x)z

therefore  z = y^2/(y-x)

please mark me as the brainliest

Which of the following is an example of a quadratic equation?
O A. y = 4x +6
O B. x2 - 64 = 0
O C. X+ 10 = 33
O D. y=1/x2+6

Answers

Answer:

[tex]x^{2} -64 = 0\\[/tex]

Step-by-step explanation:

According to Wikipedia In algebra, a quadratic equation is any equation that can be rearranged in standard form as where x represents an unknown, and a, b, and c represent known numbers, where a ≠ 0. If a = 0, then the equation is linear, not quadratic, as there is no term.

Order the cones described below from least to greatest volume. Cone​ 1: radius 4 cm and height 12 cm Cone​ 2: radius 8 cm and height 6 cm Cone​ 3: radius 6 cm and height 7 cm

Answers

Answer:

Cone 1 ⇒ Cone 3 ⇒ Cone 2

Step-by-step explanation:

V=πr²h /3

V cone1 = 3.14*4²*12/3= 200.96 cm³V cone2 = 3.14*8²*6/3 = 401.92  cm³V cone3  = 3.14*6²*7/3= 263.76 cm³

Order the cones from least to greatest volume

Cone 1 ⇒ Cone 3 ⇒ Cone 2

(100 POINTS & BRAINLIEST!!! HURRY) A game at the fair involves a wheel with seven sectors. Two of the sectors are red, two of the sectors are purple, two of the sectors are yellow, and one sector is blue. Landing on the blue sector will give 3 points, landing on a yellow sector will give 1 point, landing on a purple sector will give 0 points, and landing on a red sector will give –1 point.
If you take one spin, what is your expected value?
What changes could you make to values assigned to outcomes to make the game fair?
Prove that the game would be fair using expected values.

Answers

Answer:

The game is not fair

Step-by-step explanation:

A wheel with seven sectors:

Red Sectors  = 2   |  Probability  = 2/7

Purple sectors  = 2  |  Probability  = 2/7

Yellow sectors  = 2 |   Probability  = 2/7

Blue sectors  = 1  |  Probability  = 1/7

Landing on the blue sector will give 3 points,  => 3 * 1/7  = 3/7    points

landing on a yellow sector will give 1 point => 1 * 2/7 = 2/7   points

landing on a purple sector will give 0 points => 0 * 2/7  = 0   points

landing on a red sector will give –1 point.  =>  - 1 * 2/7  = -2/7 points

Expected value  =  3/7 + 2/7 + 0 - 2/7

= 3/7

Expected value  =  3/7

3/7   < 1/2

=> game is not fair

If expected value = 3.5/7 = 1/2  then game will be fair

hence if we make 3.5 points for Landing on the blue sector

then game will be fair.

Answer: well i'm too young to answer this lol

1. 7

2. change the value of the colors. each color should have at least 1 or 2 points for each sector.

Step-by-step explanation:

1. two are red (red=1) =2, two are purple (purple=0) =2, two are yellow (yellow=1) =4, one is blue (blue=3) =7

2. dk how to explain this i'm running out of time

Carmen has a sign with dimensions 5 ft × 7.5 ft. She wants to reduce it to make a postcard. Postcard sizes are 3.5 in. × 5 in., 4 in. × 6 in., and 4.25 in. × 6 in. Which size postcard should she use? Explain.

Answers

Answer:

The size of the post card she should use is 4 in. × 6 in.

Step-by-step explanation:

The parameters given are;

Dimensions of sign = 5 ft. × 7.5 ft

Hence, the ratio of the side sizes are;

5:7.5 which is the same as 2:3, therefore, to obtain the most accurate design of the sign on the post card, the size of the post card must be in direct proportion to the size of the sign which gives;

Side length ratio of post card = 2:3 = 4:6 = 4 in. × 6 in.

The size of the post card she should use is therefore = 4 in. × 6 in.

The first term of an arithmetic sequence is -5, and the tenth term is 13. Find the common difference.

2

1.8

8/9

Answers

Answer:

2

Step-by-step explanation:

If the common difference is d we can write:

-5 + 9d = 13

9d = 18

d = 2

Answer:

d = 2.

Step-by-step explanation:

First term = -5

10th term = -5 + 9d    where d is the common difference, so

-5 + 9d = 13

9d = 18

d = 2.

Angel entered a triathlon (a three-part race). He swam 1 mile, rode his bike 30 miles, and ran 10 miles. How far did he go altogether?

Answers

Answer:

41 miles

Step-by-step explanation:

30+10+1=41

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He traveled a total of 41 miles

Tanya buys 12 water bottles. Of these bottles, 5 hold 300 milliliters each and 7 hold 1.5 liters each. Part A How much water, in milliliters, does Tanya buy? Enter your answer in the box.​ Part B How much water, in liters, does Tanya buy? ​Enter your answer in the box.​

Answers

Answer:

A- 12,000ml

B- 12l

Step-by-step explanation:

To find milliliters:

1.5l = 1500ml

300(5) + 1500(7) = (1500 + 10500 =) 12,000ml

To find liters:

300 ml = 0.3l

0.3(5) + 1.5(7) = (1.5 + 10.5 =) 12L

Hope this helps!

The sum of two numbers is 10. The larger number is 4
times the smaller number. What are the two numbers?
Original system: x + y = 10,
y = 4x
Slope-intercept form:
y = -x + 10
y = 4x

Answers

Answer:

x=8 and y=2

Step-by-step explanation:

x+y=10

x=4y

x+y=10

4y+y=10

5y=10(divide both sides by 5)

y=2

x=4y=4*2=8

Answer:

2 and 8.

Step-by-step explanation:

y = -x + 10

y = 4x

If we subtract we eliminate y:

0 = -x + 10 - 4x

0 = -5x + 10

5x = 10

x = 2.

and y = 4 * 2 = 8.

which of the following is equal to the rational expression when x ≠ -4 or 16

Answers

Answer:

A

Step-by-step explanation:

(x^(2)-16)/((x-16)(x+4))=

[(x+4)(x-4)]/(x-16)(x+4)=

x-4/x-16

Answer:

A. [tex] \dfrac{x - 4}{x - 16} [/tex]

Step-by-step explanation:

[tex] \dfrac{x^2 - 16}{(x - 16)(x + 4)} = [/tex]

[tex] = \dfrac{(x - 4)(x + 4)}{(x - 16)(x + 4)} [/tex]

[tex] = \dfrac{x - 4}{x - 16} [/tex]

The equation of a circle is x2 + y2 + 6y = 7. What are the coordinates of the center and the length of the radius of the circle?

Answers

Step-by-step explanation:

x2+y2+6y+(9-9)=7

x2+y2+6y+9=16

x2+(y+3)2=16

center:(0,-3)

r:4

A triangle has two sides of 8 and 15. What is the largest possible whole number length for the third side?

Answers

Answer:

Largest possible value for the 3rd side can be 22.

Step-by-step explanation:

Property of sides of a triangle:

If two sides of a triangle are [tex]a[/tex] and [tex]b[/tex] long, then the length of third side [tex]c[/tex] must be:

[tex](a+b) > c[/tex]

i.e. the sum of two sides [tex]a[/tex] and [tex]b[/tex] must be greater than the third side [tex]c[/tex].

So, to find the largest possible value:

[tex]a = 8\\b= 15[/tex]

[tex]a+b=23[/tex]

Largest possible value of [tex]c[/tex] can be lesser than 23.

i.e. 22 can be the largest possible value of the third side.

What is the constant of proportionality in the equation y = StartFraction x over 9 EndFraction? 0 StartFraction 1 over 9 EndFraction StartFraction 8 over 9 EndFraction 1

Answers

Answer:

b

Step-by-step explanation:

b

The constant of proportionality in the equation {y = x/9} is equivalent to (1/9).

What is a mathematical function, equation and expression?          

Function : In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function

Expression : A mathematical expression is made up of terms (constants and variables) separated by mathematical operators

Equation : A mathematical equation is used to equate two expressions.

Given is the linear equation as follows -

y = x/9

This is the equation of a straight line, which is -

y = mx + c

{m} is slope and is also called the constant of proportionality.

We can write -

y = (1/9)x + 0

So, the constant of proportionality is equivalent to (1/9).

Therefore, the constant of proportionality in the equation {y = x/9} is equivalent to (1/9).

To solve more questions on functions, expressions and polynomials, visit the link below -

brainly.com/question/17421223

#SPJ5

can someone please help and explain​

Answers

Answer:

2

Step-by-step explanation:

2 4/5 * 5/7

Change to an improper fraction

(5*2+4)/5 * 5/7

14/5 * 5/7

Canceling the 5's

14/7

2

Answer:

2

Step-by-step explanation:

[tex]2\dfrac{4}{5}\times \dfrac{5}{7}= \\\\\\\dfrac{14}{5}\times \dfrac{5}{7}=\\\\\\\dfrac{14\times 5}{5\times 7}=\\\\\\\dfrac{14}{7}=\\\\\\2[/tex]

Hope this helps!

Suppose a car rental company charges $22.50 plus 10 cents per mile write an equation you could solve to find how many miles you drove if the rental charge was 40.00

Answers

Answer:

Equation= 40=22.50+.10(how many miles)

175 miles= How many miles you drove.

Step-by-step explanation:

Equation= 40=22.50+.10(how many miles)

40-22.50=.10(how many miles)

17.5=.10(how many miles)

175 miles= How many miles you drove.

What is \redD{\text{A}}Astart color #e84d39, start text, A, end text, end color #e84d39 rounded to the nearest ten? What is \redD{\text{A}}Astart color #e84d39, start text, A, end text, end color #e84d39 rounded to the nearest hundred?

Answers

Answer:

What? Retype the question below and ill answer it, but this isnt answerable.

Step-by-step explanation:

What is \redD{\text{A}}Astart color #e84d39, start text, A, end text, end color #e84d39 rounded to the nearest ten? What is \redD{\text{A}}Astart color #e84d39, start text, A, end text, end color #e84d39 rounded to the nearest hundred?

Like what kind of language is this ;--;

URGENT!!LAST QUESTION!!!! PLS JUST TAKE A LOOK! EASY BUT I AM DUMB!!!!!! WILL GIVE BRANLIEST!!1 A photograph measures five inches wide and six inches long. The picture is enlarged to fit on a wall. If the new larger picture is 150 inches wide, how long is it? A) 210 inches B) 250 inches C) 180 inches D) 200 inches

Answers

Answer:

c) 180in

Step-by-step explanation:

So first you divide 150 by 5 to know by how much it was increased

150/5=30

Then multiply the length by that same 30 since it was scaled up by 30

30*6=180

Answer:

C) 180 because you do ratio of 5:6 = 150:X. X=180 because 150/5=30 so you take 30x6 = 180

suppose f(x)=x^2. what is the graph of g(x)=f(3x)?

Answers

Answer:

Option A is correct

g(x) = 9x^2

Step-by-step explanation:

f(x) = x^2

g(x) = f(3x) = (3x)^2 = 9x^2

Let's consider the function: g(x) = 9x^2. This function is always greater or equal to 0 (because x^2 is always greater or equal to 0)

=> Option B and C are incorrect (the value of y is smaller than 0)

Let's continuously see the option D. The graph shows that when x is equal to 3, y is approximately 5. This is incorrect because if we substitute x = 3 into g(x), the y value should be y = 9 x 3^2 = 9 x 9 = 81, much greater than 5.

=> Option D is incorrect

=> Only option A is correct

Hope this helps!

Option A is correct

g(x) = 9x^2

f(x) = x^2

g(x) = f(3x) = (3x)^2 = 9x^2

Let's consider the function: g(x) = 9x^2. This function is always greater or equal to 0 (because x^2 is always greater or equal to 0)

B and C are incorrect (the value of y is smaller than 0)

Let's continuously see option D. The graph shows that when x is equal to 3, y is approximately 5.

This is incorrect because if we substitute x = 3 into g(x), the y value should be y = 9 x 3^2 = 9 x 9 = 81, much greater than 5.

Option D is incorrect

Only option A is correct

To learn more about the graph visit:

https://brainly.com/question/16847434

#SPJ2

how do you factor 5x^2b^2 + 14xb^2 -3b^2

Answers

Answer:

[tex]5b^2(x-0.2)(x+3)[/tex]

Step-by-step explanation:

The first thing that I noticed was that all of the terms had a common factor of [tex]b^2[/tex]. You can therefore factor that out first:

[tex]5x^2b^2 + 14xb^2 -3b^2= \\\\b^2(5x^2+14x-3)[/tex]

Now, you have a quadratic equation inside the parentheses. Factoring, you find that the roots are -0.2 and 3, meaning that you can further factor this expression to be:

[tex]5b^2(x-0.2)(x+3)[/tex]

Hope this helps!

Does anyone know the answer?

Answers

Answer:

i think it the 2 one

Step-by-step explanation:

Find the range of the following data:
(a) The weights (in kg) of 10 persons are:
22, 27, 29, 31, 33, 36, 37, 39, 41, 43.​

Answers

Answer:

range = 21 Kg

Step-by-step explanation:

The range is the difference between the largest and smallest values in the data set

largest value = 43 Kg and smallest value = 22 Kg, thus

range = 43 - 22 = 21 Kg

[tex]answer =21 \\ solution \\ given \: data = 22 ,27,29,31,33,36,37,39,41,43 \\ range = highest \: score - lowest \: score \\ \: \: \: \: \: \: \: \: \: \: = 43 - 22 \\ \: \: \: \: \: \: \: \: = 21 \\ hope \: it \: helps \\ good \: luck \: on \: your \: assignment[/tex]

1. An endpoint of a line segment is (4,5) and the midpoint of the line segment is (3,−2). Find the other endpoint.

______


2. An endpoint of a line segment is (−10,−2) and the midpoint of the line segment is (0,4). Find the other endpoint.

______

Answers

Answer:

1. (2, -9) 2. (10, 10)

Step-by-step explanation:

What is the distance between the pool in the main office in miles? Round to the nearest 10th period (8,1)(6,-6)

Answers

Answer & Step-by-step explanation:

For this problem, we are going too have to use the distance formula.

[tex]Distance = \sqrt{(x2-x1)^2+(y2-y1)^2}[/tex]

We can plug in the coordinate points that we are given to their respectful places.

[tex]Distance=\sqrt{(6-8)^2+(-6-1)^2}[/tex]

[tex]Distance=\sqrt{(-2)^2+(-7)^2}[/tex]

[tex]Distance=\sqrt{4+49}[/tex]

[tex]Distance=\sqrt{53}[/tex]

[tex]Distance=7.3[/tex]

So, the distance between the pool and the main office is 7.3 miles.

Which type of triangles can be formed by taking the cross-section of a cube?

Answers

Answer:

2 Right Angled Triangles

Step-by-step explanation:

Carrie took a 24-hour train ride from Colorado to Illinois. If she arrived in Illinois at 2:45pm CST on Wednesday, when she did she leave Colorado?

Answers

Answer:

Carrie left Colorado at 2:45pm CST on Tuesday.

Step-by-step explanation:

The train travels a total of 24 hours to get from Colorado to Illinois, that is, it takes one complete day of travel to get from one city to the other.

So, if Carrie arrives Illinois at 2:45pm CST on Wednesday, she left Colorado exactly one day before that, in the same hour, so she left Colorado at 2:45pm CST on Tuesday.

100 POINTS WILL MARK BRAINLIEST x^2 − 8x + 13 = 0 Which of the following is the first correct step to write the above equation in the form (x − p)^2 = q, where p and q are integers? Subtract 5 from both sides of the equation Add 3 to both sides of the equation Add 5 to both sides of the equation Subtract 3 from both sides of the equation

Answers

Answer:

We will add 3 to each side of the equation

Step-by-step explanation:

x^2 − 8x + 13 = 0

We want to complete the square

We will subtract 13 from each side of the equation

x^2 -8x +13 -13 = 0 -13

x^2 -8x = -13

Then take the coefficient of x

-8

Divide by 2

-8/2 = -4

Square it

(-4)^2 = 16

Add this to each side

x^2 -8x +16 = -13+16

( x-4) ^2 = 3

The sum of subtracting 13 and adding 16 is adding 3

Answer:

It is Subtract 3 from both sides of the equation

Step-by-step explanation:

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