Bill's school is selling tickets to a spring musical. On the first day of ticket sales the school sold
10 senior citizen tickets and 8 child tickets for a total of $170. The school took in $185 on the
second day by selling 10 senior citizen tickets and 11 child tickets. Find the price of a senior
citizen ticket and the price of a child ticket.
A) senior citizen ticket: $13, child ticket: $5 B) senior citizen ticket: $12, child ticket: $7
C) senior citizen ticket: $5, child ticket: $13 D) senior citizen ticket: $21, child ticket: $6

Answers

Answer 1

Answer:

A

Step-by-step explanation:

If you play around with each of the answers, you'll find that 13*10=130 (where $13 is the cost of each of 10 senior tickets) plus 5*8=40 (where $5 is the cost of each of 8 child tickets) equals $170.

Hope this helps!! <3

Answer 2

The price of a senior citizen and child ticket is required.

The correct option is A) senior citizen ticket: $13, child ticket: $5

System of linear equations

Let [tex]x[/tex] be the price of senior citizen ticket

[tex]y[/tex] be the price of child ticket

The equations will be

[tex]10x+8y=170[/tex]

[tex]10x+11y=185[/tex]

Subtracting the equations

[tex]-3y=-15\\\Rightarrow y=\dfrac{-15}{-3}\\\Rightarrow y=5[/tex]

Finding [tex]x[/tex]

[tex]10x+8y=170\\\Rightarrow x=\dfrac{170-8y}{10}=\dfrac{170-8\times 5}{10}\\\Rightarrow x=13[/tex]

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Related Questions

Tucker was asked to solve the equation 5x + 3 = 6x + 1. He did not know if his first step should be to add 5 negative x-tiles, or 1 negative unit tile, to both sides. What advice would you give Tucker to help him decide on his first step?

Answers

Answer:

He should use the negative 1 unit tile.

Step-by-step explanation:

He should do this because in this equation you wish to isolate the variable on one side, and it would be better to first take away any constants. Afterwards, the variable would be next.

Answer:  It does not matter which he does first. Either way, zero pairs will be created on both sides, which will isolate the variable to determine x. Adding the x-tiles and then the unit tile, or visa versa, will give the same solution.\

Explanation: that's what i put and i got it right

PLZZZZZ MARK ME BRAINIEST

Which is a qualitative graph? On a coordinate plane, a line with positive slope goes through points (negative 1, 0) and (0, 3). On a coordinate plane, points are at (0, 2), (1, 3), (2, 2.5), (3, 3), (4, 4), and (4.5, 5). A graph has time on the x-axis and height on the y-axis. The graph increases to point A, increases to point B, and then decreases to point C. A graph has time on the x-axis and height on the y-axis. Segment A increases, segment B is increases, and segment C decreases.

Answers

Answer:

(-1,0), (0,3) and (2,2.25)

Step-by-step explanation:

The qualitative graph is as follows:

A(-1,0) ------> B(0,3) ------> C(2,2.25)

Hence, slope = (2.25 - 0)/(2 - (-1)) = 2.25/3

∴ slope = 0.75

Except for the option graph on a coordinate plane, a line with a positive slope goes through points (negative 1, 0) and (0, 3), all the graph is qualitative. Options B, C, and D are correct.

What is a qualitative graph?

The kind of graph that shows the quality curve such as decreasing and increasing events, is called a qualitative graph or curve.

Here,
1. On a coordinate plane, a line with a positive slope goes through points (negative 1, 0) and (0, 3), since this graph does not represent any data as well as also constantly increasing between two points so it is not a qualitative graph.

Similarly,
Graphs B, C, and D have an increasing and decreasing order, so all are qualitative graphs.

Thus, except for graph A all the graphs are qualitative graphs.

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Consider the functions. F(x)=(x+1)2-4 and g(x)=-4|x+1| which statement compares the range of the functions?

Answers

Answer:

       The fourth

Step-by-step explanation:

Vertex of f is (-1, -4) so its range is limited to y≥-4

|x+1| is always ≥0 therefore -|x+1| is always ≤0 {4 is insignificant to this - slope doesn't mean in range} so its range is limited to y≤0

Answer:

D

Step-by-step explanation:

i just took the test

At a central train station, there are 4 different train routes with trains that leave every 6 minutes, 10 minutes, 12 minutes, and 15 minutes. If each train can hold up to 200 passengers, what is the maximum number of passengers who can leave the station on a train in one hour?

Answers

Answer:

5,000 passengers

Step-by-step explanation:

1. Find out how many trains leave each hour.

6 min – 60/6 = 10 x 200 passengers = 2000

10 min – 60/10 = 6 x 200 passengers = 1200

12 min – 60/12 = 5 x 200 passengers = 1000

15 min – 60/15 = 4 x 200 passengers = 800

2. Add it all up.

2000 + 1200 + 1000 + 800 = 5000 passengers

Answer:

5000

Step-by-step explanation:

6 minute train leaves 10 times

10 x 200 = 2000 passengers

10 minute train leaves 6 times

6x200 = 1200

12 minute train leaves 5 times

5x200 =1000

15 minute train leaves 4 times

4x200 =800

2000+1200+1000+800=5000

assuming more than 1 train can be at the station at once

Which situation best describes negative correlation? a. The amount of job experience and pay b. Salary and number of children c. Exercise and health d. Hours of TV viewing and test grades

Answers

Answer: D

Step-by-step explanation:

D makes a lot more sense because if you are someone who watches TV a lot then your more likely to score less on a given test.

Negative correlation means that as the x values increases the y value decrease.

So in this case hours will be on the x coordinate and y will be your test score.

List some typical benefits an employee might receive on top of their wage?

Answers

Answer:

paid vacation

paid medical

401k

What the answer question

Answers

its b the answer is b

Answer:

the answer on the B

Step-by-step explanation:

Please help
Factorise completely 36ab - 18b+6a-3​

Answers

Answer:

[tex]3(6b-1)(2a-1)[/tex]

Step-by-step explanation:

[tex]36ab-18b+6a-3\\18b(2a-1)+3(2a-1)[/tex]

Taking (2a-1) as common

[tex](18b+3)(2a-1)[/tex]

=> [tex]3(6b-1)(2a-1)[/tex]

Answer:

[tex]3(6b+1)(2a-1)[/tex]

Step-by-step explanation:

[tex]36ab - 18b+6a-3[/tex]

Factor the two groups.

[tex]18b(2a-1)+3(2a-1)[/tex]

Take 2a - 1 common.

[tex](18b+3)(2a-1)[/tex]

Factor 18b + 3.

[tex]3(6b+1)(2a-1)[/tex]

what is the value of "c" by completing the square. x^2 - 14x +

Answers

Answer:

[tex]\large\boxed{\sf \ \ 49 \ \ }[/tex]

Step-by-step explanation:

Hello,

we need to get the discriminant = 0 meaning

[tex]\Delta = b^2-4ac = 0\\\\<=>14^2-4c=0\\\\<=>c=\dfrac{196}{4}=49[/tex]

And then the square is

[tex]x^2-2\cdot 7\cdot x+7^2=(x-7)^2[/tex]

Hope this helps

Simplify: 14 - 2+ 8 = 2 *3
helppp meeee

Answers

Answer:

20=6?

Step-by-step explanation:

14-2+8=2*3

14-2+8=6

12+8=6

20=6?

Answer:

These to equations aren't equivalent.

Step-by-step explanation:

14-2+8=2*3

12+8=6

20=6

Hope this helps ;) ❤❤❤

X^4 -33x^2-108 which of the following is equal to the polynomial given above? A. (X+36)(x+v3i)(x-3) B. (X-36)(x+v3i)(x+3)

Answers

Answer:

Answer D I believe :)

Step-by-step explanation:

x^4-33x^2-108

rewrite as a difference

x^4+3x^2-36x^2-108

factor out x^2

x^2(x^2+3)-36x^2-108

factor out -36

x^2(x^2+3)-36(x^2+3)

factor out x^2+3

(x^2+3)(x^2-36)

factor x^2-36

(x^2+3)(x-6)(x+6)

set x^2+3 equal to 0

x^2+3=0

solve for x

x=+/-[tex]\sqrt{3}[/tex]i

set at factors

(x+6)(x-6)(x+[tex]\sqrt{3}[/tex]i)(x-[tex]\sqrt{3}[/tex]i)

I hope this helps.

Given: DF and DE are midsegments of ∆ABC Prove: DE= 1/2 AC (PLEASE HELP)

Answers

Answer:

The correct answer is D because we proved that the triangles ΔDBE and ΔADF are congruent so that means that DE = segment A F because of CPCTC.

Answer:

The correct answer is D because we proved that the triangles ΔDBE and ΔADF are congruent so that means that DE = segment A F because of CPCTC.

Step-by-step explanation:

please help !!!!!!!!

Answers

Answer:

x=3 y=11

Step-by-step explanation:

2x+3=9

2x=6

x=3

y-4=7

y=11

please help with this, 20p

Answers

Answer:

  about 325

Step-by-step explanation:

On average, the mileage is about 21.7 miles per gallon, so 15 gallons would be good for about 325 miles.

If we look at the table for fills that total 15 gallons, we see the first and last total 330 miles, and the 3rd and 4th total 314 miles. So, we expect somewhere between these values, on average.

A formal average adds the miles driven and divides by the total of gallons used. That result is shown below. While we might estimate that we could drive 325 miles on 15 gallons, we have found that our mileage actually varies.

I think about 325

Because 198+115+154+160+132=759
9+5+7+8+6=35
759/35 is about 21.7

So it’s 21.7*15 is about 325 or 326

Multiply. √3 ⋅ √5 ⋅ √7 Enter your answer, in radical form, in the box.

Answers

Answer: square 105

Step-by-step explanation: Confirming answer

A radical expression is an expression containing a square root, mostly a square root.

The value of √3.√5.√7 in radical form is √105.

What is a radical expression?

A radical expression is an expression containing a square root, mostly a square root.

We have,

√3.√5.√7

We can multiply the numbers together.

= √(3 x 5 x 7 )

= √(15 x 7)

= √105

Thus the value of √3.√5.√7 in radical form is  √105.

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Max is trying to prove to his friend that two reflections, one across the x-axis and another across the y-axis, will not result in a reflection across the line y = x for a pre-image in quadrant II. His friend Josiah is trying to prove that a reflection across the x-axis followed by a reflection across the y-axis will result in a reflection across the line y = x for a pre-image in quadrant II. Which student is correct, and which statements below will help him prove his conjecture? Check all that apply.
Max is correct.
Josiah is correct.
If one reflects a figure across the x-axis from quadrant II, the image will end up in quadrant III.
If one reflects a figure across the y-axis from quadrant III, the image will end up in quadrant IV.
A figure that is reflected from quadrant II to quadrant IV will be reflected across the line y = x.
If one reflects a figure across the x-axis, the points of the image can be found using the pattern (x, y) Right-arrow (x, –y).
If one reflects a figure across the y-axis, the points of the image can be found using the pattern (x, y) Right-arrow (–x, y).
Taking the result from the first reflection (x, –y) and applying the second mapping rule will result in (–x, –y), not (y, x), which reflecting across the line y = x should give.

Answers

Answer:

The correct option is;

If one reflects a figure across the y-axis, the points of the image can be found using the pattern (x, y) Right-arrow (x, -y).

If one reflects a figure across the y-axis, the points of the image can be found using the pattern (x, y) Right-Arrow (-x, y).

Taking the result from the first reflection (x, -y) and applying the second mapping rule will result in (-x, -y), not (y, x), which reflection across the line y = x should give

Step-by-step explanation:

We have that for reflection across the x-axis, (x, y) → (x, -y)

For reflection across the y-axis, (x, y) → (-x, y)

Therefore, given that the pre-image before the reflection across the y-axis is (x, -y), we have;

For reflection across the y-axis, (x, -y) → (-x, -y)

For reflection across the line, y = x, gives (x, y) → (y, x) which is not the same as (-x, -y)

Answer:

If one reflects a figure across the y-axis, the points of the image can be found using the pattern (x, y) Right-arrow (x, -y).

If one reflects a figure across the y-axis, the points of the image can be found using the pattern (x, y) Right-Arrow (-x, y).

Taking the result from the first reflection (x, -y) and applying the second mapping rule will result in (-x, -y), not (y, x), which reflection across the line y = x should give

Step-by-step explanation:

HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP

Answers

Answer:

the trig function you would use to find x would be cosine becuase its adjacent/ hypotenuse.

solving it would give you 49 becuase its cosine(x)=13/20 and you have to multiply by the inverse of cosine

to solve for y you would use sine of y which would be opposite/ hypotenuse = 13/20

∫1/(1+sinx^2 +2cos^2x)

Answers

Answer:

Im not sure, is this correct?

In a recent​ study, volunteers who had 8 hours of sleep were three times more likely to correctly on a math test than were​ sleep-deprived participants.
1) Identify the sample used in the study.
A) The sample is the math questions in the study.
B) The sample is the responses of the volunteers in the study.
C) The sample is the amount of sleep the volunteers got in the study.
D) The sample is the​ sleep-deprived participants in the study. ​
2) What is the​ sample's population?
A) The population is the collection of all the math questions from the math test.
B) The population is the collection of the responses of all individuals who completed the math test.
C) The population is the collection of all the individuals who completed the math test. ​
3) Which part of the study represents the descriptive branch of​ statistics?

Answers

1) Identify the sample used in the study: B) The sample is the responses of the volunteers in the study

2)  What is the​ sample's population: B) The population is collected of the response of all individuals who completed the math test

3) Which part of the study represents the descriptive branch of​ statistics:

individuals who are not sleep deprived will be more likely to answer math questions correctly than individuals who are sleep deprived.

hope i helpd

-lvr

Please Help Asap!!! Will give brainiest if answered correctly with explanation.

Answers

Answer:

HL  and SAS

which agrees with the third option listed among your options

Step-by-step explanation:

Notice that you have two triangles (see attached image) which have a common side (marked in blue), sides YW and YZ (marked in green) congruent, and the angle in between also congruent.

Therefore we have two postulates than can be applied to prove that the triangles YWX and YXZ are congruent:

HL postulate : "congruent hypotenuse and a corresponding congruent leg " that corresponds to hypotenuses YW and YZ, and congruent leg which is the common segment YX.

and:

SAS postulate: "two sides and the included angle" which corresponds to sides YW, YX, and angle WYX on one triangle, and sides YX, YZ, and angle XYZ in the other triangle

Simplify each expression.
1) 3(8Z² - 52 - 7)
2) 8d(2d-4)
6) 6(5x - 4)
7) 6q- 4

Answers

Answer:

1) 24Z^2 - 177.

2) 16d^2 - 32d.

6) 30x - 24.

7) 6q - 4.

Step-by-step explanation:

1) 3(8Z^2 - 52 - 7)

= 3(8Z^2 - 59)

= 24Z^2 - 177

2) 8d(2d - 4)

= (8d * 2d) - (8d * 4)

= 16d^2 - 32d

6) 6(5x - 4)

= (6 * 5x) - (6 * 4)

= 30x - 24

7) Already simplified. 6q - 4.

Hope this helps!

Answer this please :(

Answers

Answer:

Part A: check B, E and F.

Part B: check E and G.

Step-by-step explanation:

The equation [tex]y = a(x - b)^2 + c[/tex] is the equation of a parabola written in the vertex form, where the vertex will be (b, c).

So, if the vertex is (2, -1), we have that b = 2 and c = -1

To find the c value, we use the information that the y-intercept is 3, so we have the point (0, 3). Using x = 0 and y = 3, we have:

[tex]3 = a(0 - 2)^2 - 1[/tex]

[tex]3 = 4a - 1[/tex]

[tex]4a = 4[/tex]

[tex]a = 1[/tex]

So we have a = 1, b = 2 and c = -1.

Part A: check B, E and F.

To find the x-intercepts, we need to find the values of x where y = 0:

[tex]0 = (x - 2)^2 - 1[/tex]

[tex]x^2 - 4x + 4 - 1 = 0[/tex]

[tex]x^2 - 4x + 3 = 0[/tex]

Solving using Bhaskara's formula (a = 1, b = -4 and c = 3), we have:

[tex]\Delta = b^2 - 4ac = 16 - 12 = 4[/tex]

[tex]x_1 = (-b + \sqrt{\Delta})/2a = (4 + 2)/2 = 3[/tex]

[tex]x_2 = (-b - \sqrt{\Delta})/2a = (4 - 2)/2 = 1[/tex]

So the x-intercepts are 1 and 3

Part B: check E and G.

pls answer asap i need this answer quick plus the full explanation #7

Answers

Please answer please please thank you

Find the indicated functional value for the ceiling function: f(1.5)?

Answers

Answer:

The correct answer is 2

Step-by-step explanation:

The ceiling function is a python programming function that rounds a decimal point number to the nearest whole number.

Given the function expression  f(1.5), the ceiling function will round 1.5 to the nearest whole number which is 2

in a certain town there are 30000 registered voters, of whom 12000 are Democrats. A survey organization is about to take a simple random sample of 1000 registered voters. a) the expected value for the percentage of Democrats in the sample is

Answers

Answer:

400.

Step-by-step explanation:

The following data were obtained from the question:

Total number of Registered voters = 30000

Total number of Democrats = 12000

Next, we shall determine the percentage of Democrats in the registered voters.

This can be obtained as follow:

Percentage of Democrats = number of Democrats / Total number of registered voters x 100

Percentage of Democrats = 12000/30000 x 100

Percentage of Democrats = 40%

Now, we can obtain the expected value of percentage of Democrats in the 1000 sample as follow:

Percentage of Democrats = 40%

Total number of Sample = 1000

Number of Democrats in the sampl=..?

Percentage of Democrats = number of Democrats in sample / Total number of sample x 100

40% = number of Democrats in sample/1000

Cross multiply

Number of Democrats in sample

= 40% x 1000

= 40/100 x 1000

= 400

Therefore, the expected number of Democrats in the sample is 400.

Which of the following is a key property of the quadratic parent function?

Answers

Answer: B

Step-by-step explanation:

Quadratic parent function is y=x^2  which means the vertex is the origin because if you input 0 into the function you will get an output of zero. (0,0) is the origin which is where the graph intersect.

solve it using quadratic formula.


grade 9
10 points​

Answers

Answer:

{-1/4, 1}{3/4, 6}

Step-by-step explanation:

1. We can clear fractions and solve the resulting quadratic. We clear fractions by multiplying the equation by the product of the denominators.

  [tex]\dfrac{2x+1}{2x-1}-\dfrac{2x-1}{2x+1}=\dfrac{8}{3}\\\\3((2x+1)^2-(2x-1)^2)=8(2x-1)(2x+1)\\\\3(8x) = 8(4x^2 -1)\\\\4x^2 -3x -1 = 0\qquad\text{factor out 8, subtract 3x}\\\\x=\dfrac{-(-3)\pm\sqrt{(-3)^2-4(4)(-1)}}{2(4)}=\dfrac{3\pm\sqrt{25}}{8}\\\\x=\dfrac{3\pm5}{8}=\left\{-\dfrac{1}{4},1\right\}[/tex]

__

2. Using the same idea here, we get ...

  [tex]\dfrac{2}{x-2}+\dfrac{3}{x}=\dfrac{9}{x+3}\\\\2(x)(x+3)+3(x-2)(x+3)=9(x-2)(x)\\\\2x^2+6x+3(x^2+x-6)=9x^2-18x\\\\4x^2-27x+18=0\\\\x=\dfrac{-(-27)\pm\sqrt{(-27)^2-4(4)(18)}}{2(4)}=\dfrac{27\pm\sqrt{441}}{8}\\\\x=\dfrac{27\pm21}{8}=\left\{\dfrac{3}{4},6\right\}[/tex]

The base of a regular pyramid is a hexagon.

Answers

If you think about it, a hexagon can be cut into 6 equilateral triangles. Because of this, all you need to do is find the area of one triangle and multiply it by 6. Since the side length of one triangle is 12, we know that is the base. Since the triangles that are created when cutting the equilateral triangle in half are both 30 60 90, the height must be 6(3)^1/3. We can then multiply 12 • 6 radical 3 •1/2 to get 36 radical 3. Multiply this by 6 and get 216 radical 3 units squared.

PLEASE HELP!! ASAP
The two square pyramids are similar. The side length of the smaller pyramid is 3/4 the side length of the larger pyramid. Which fraction represents the ratio of the base area of the smaller pyramid to the base area of the larger pyramid? Answer choices: 9/16 or 16/9

Answers

9/16 since the ratio is of the smaller pyramid to the larger the lower/smaller number would come first

Which best describes the relationship between the lines with equations 5x +y = 4 and 20.0 + 4y = 16?

Answers

Answer:

There is no relationship, except they do intersect at the point (1, -1). Hope this helps :)

Brainliest?

Both given lines are going to intersect at ( 1,-1 ) that's it.

What is a line segment?

A line section that can connect two places is referred to as a segment.

The line is here! It extends endlessly in both directions and has no beginning or conclusion.

In other words, a line segment is just part of a big line that is straight and going unlimited in both directions.

Given that

Line 1 ; 5x +y = 4

Line 2 ;  20 + 4y = 16 ⇒ y = -1

At  y = -1  the first line is

5x  - 1  =  4 ⇒ x = 1

So,

It is clear that line 1 has a point ( 1 .-1 ) and line 2 also passes

through it hence there will an intersection.

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The intake stroke of a positive displacement compressor is most similar to that of a A. thermostatic expansion valve. B. auxillary electric water pump. C. one-stroke variable displacement compressor. D. two-stroke cylinder engine. A 4 foot wide painting should be centered on a 10 foot wide wall. How many feet (x) should be on each side of the painting? Point K is rotated 90. The coordinate of the pre-image point K was (2, 6) and its image K is at the coordinate (6, 2). Find the direction of the rotation. The direction of rotation was . Write an equation of the line passing through the given point and satisfying the given condition. Give the equation (a) in slope-intercept form and (b) in standard form.(8,6); perpendicular to 2x - y = 4(a) Write the equation of the line in slope-intercept form. Ans ASAP.. In pic with steps.. Plz tysm 1rst one BRAINLIEST A computer has a mass of 3 kg. What is the weight of the computer?A. 288 N.B. 77.2 NC. 3ND. 29.4 N a) John is 3 years older than his brother Brian, the product of their ages is 54 i) Express this information in equation form ii) Show this information as a quadratic equation iii) Hence, solve the equation to find their individual ages 1. A las siete de la maana yo(estar + levantarse).2. Yo(estar+ or) msica.3. Eva y ngela(estar + trabajar) en un campamento.4. Mis primos(estar + acampar) en la sierra.5. Jess(estar + nadar) en el lago.6. Pablo_(estar + comer) pizza con sus amigos.7.Abriendo(estar + abrir) la puerta para entrar al saln de clases.I8. Lupe y yoleemos(estar + leer) el peridico.9. Consuelo(estar + gritar) al ver una serpiente.10. Vosotros(estar + comprender) la gramtica. Which statement describes how work and power are similar? A: You must know time and energy to calculate both. B: You must know velocity and time to calculate both. C: You must know force and distance to calculate both. D: You must know energy and force to calculate both. Which of the following may be deductible in 2019? a.Fines paid for violations of the law. b.Interest on a loan used in a hobby. c.Bribes that relate to a U.S. business. d.All of these choices are correct. e.None of these choices are correct. 50. At a booth at the school carnival in past years, they've found that 32% of students win a stuffed toy ($3.25), 10% of students win a jumprope ($1.70), and 8% of students win a t-shirt ($7.80). The remaining students do not win a prize. If 200 students play the game at the booth, how much money should the carnival committee expect to pay for prizes for that booth Which parent function is represented by the graph?A. The quadratic parent function B. The absolute value parent function C. An exponential parent function D. The linear parent function