A family bought a total of 16 adult and child tickets to a magic show. Adult tickets are $10.50 each and child tickets are $7.50 each. The family paid a total of $141. How many of adult tickets, a, and child tickets, c, did they buy?

Answers

Answer 1

9514 1404 393

Answer:

7 adult tickets9 child tickets

Step-by-step explanation:

Using the variables defined in the problem statement, we can write the equations ...

  a + c = 16 . . . . . . . . . . . . number of tickets bought

  10.50a +7.50c = 141 . . . cost of tickets bought

Substituting for c in the second equation, we get ...

  10.50a +7.50(16 -a) = 141

  3.00a +120 = 141 . . . . . . . . simplify

  3a = 21 . . . . . . . . . . . subtract 120

  a = 7 . . . . . . . . divide by 3

  16 -a = c = 9 . . . . . . . find the number of child tickets

They bought 7 adult tickets and 9 child tickets.

_____

If you examine the solution, you see that the number of adult tickets (the higher priced item) is the quotient of the difference between the actual expenditure (141) and the amount that would have been spent on all child tickets (16×7.50=120), and the difference in ticket prices (10.50-7.50=3.00). Knowing this, you can often work problems of this kind in your head.


Related Questions

If f(x) = 2x - 3, find f(-2).

Answers

Answer:

0.5

Step-by-step explanation:

-2 = 2x - 3

1 = 2x

0.5 = x

Answer:

f(x) = -7

Step-by-step explanation:

f(x) = 2x - 3 turs into

f(x) = 2 x -2 - 3

f(x) = -4 - 3

f(x) = -7

answer the questions lots of points

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Answer:

Radius is half of diameter; the distance around a circle.

Step-by-step explanation:

Answer:

Radius is half of diameter  the distance around a circle

HELP!!!
This is a geometry question!
Please give reasoning with your answer!
I can and will mark a "real" answer brainliest!

Answers

Since lmnp is on the y side, of you add 6+3 it gives you 9

Answer:

see below

Step-by-step explanation:

shape LNMP is :

translated as 0,-7flip of mirrored along y-axisreflected imaged is ABCD as given

What transformation keeps proportinality

Answers

There are four main types of transformations; translation, rotation, reflections, and dilation.

-x + 7 <10
Solving inequalities

Answers

Answer:

x>-3

Step-by-step explanation:

−x+7<10

Step 1: Subtract 7 from both sides.

−x+7−7<10−7

−x<3

Step 2: Divide both sides by -1.

−x−1<3-1

x>−3

Please do all and I’ll mark brainliest!! I’ve added extra points and I really need help ASAP!! Don’t worry about the 3D shape one

Answers

Answer:

Answers in step step-by-step explanation.

Step-by-step explanation:

1. 7

2. 0.3

3. 3

4. x = 50 degree

5. 15 (Sorry I accidentally made the answer to five the answer to six, 15 is the right answer)

6.  10.408125

7. 240

8. -29

9. I think 1/4 but double-check.

10. $5.4

5. A car travels at a speed of 72 miles per hour. Write a direct variation equation for the distance, y, the car will travel in x hours. How far will the car travels in 4.5 hours?​

Answers

Answer:

 y  = 72x

324miles

Step-by-step explanation:

Given parameters:

      Speed of the car = 72miles/hr

       distance  = y

        time  = xhrs

Unknown:

Write a direct variation equation for the distance=  ?

Distance covered in 4.5hrs =?

Solution:

A. Write a direct variation equation for the distance;

    A direct variation is a linear equation.

   It often takes the form y = kx

   

For this problem;

      Distance  = speed x time

input the parameters;

      y  = 72x

The direct variation equation is  y  = 72x

B. Distance traveled in 4.5hrs

   y  = 72x

  x is the time taken;

  So;

        y  = 72 x 4.5  = 324miles

PLEASE HELP!! Please show me work also!

Answers

There isn’t a picture, what’s the question?

Marty bought a $48 sweatshirt and used a coupon for a 10% discount. How much did Marty pay for the sweatshirt?

Answers

Answer:

$43.20

Step-by-step explanation:

10% of 48 is 4.8 or 4.80 so 48-4.80=$43.20

Answer:

$43.02

Step-by-step explanation:

$48 - 10% equals 43.02

Heeelp Asap please

Has to be turned in at 7

Answers

Answer:

I think its 1/2 of the pizza

Step-by-step explanation:

Plz correct me if im wrong

Answer:

its 1/6

Step-by-step explanation:

1/4 of the pizza is left

joe eats 2/3 of the 1/4 which equals 2/12 or 1/6

Laura checked her outdoor thermometer and noticed that the temperature rose from 31 degrees in the morning to 45 degrees in the afternoon. What is the approximate percent increase for the day so far? The percent increase is approximately 31%. The percent increase is approximately 45%. The percent increase is approximately 68%. The percent increase is approximately 82%.

Answers

Answer:

the answer is b 

Step-by-step explanation:

Answer:

The percent increase is approximately 45%.

Step-by-step explanation:

hope this helped!

Given the functions f(x) = x^2 + 6x - 1, g(x) = -x^2 + 2, and h(x) = 2x^2 - 4x + 3, rank them from least to greatest based on their axis of symmetry.

f(x), g(x), h(x)
h(x), g(x), f(x)
g(x), h(x), f(x)
h(x), f(x), g(x)

Answers

Answer:

At least to greatest you've got  -3, 0,  1   so f(x),  g(x),  h(x). Answer a

Step-by-step explanation:

ik this is because i am in level 11 grade math

Answer:

h(x), g(x), f(x)

Step-by-step explanation:

I got that value because the axis of symmetry of GX and hx I've got them all the same, one and one the issue comes to the GX where ist has a negative value in front of the X I think when you put a negative value inside a bracket then you Square it you'll get a positive value in the end but since it has a negative value outside then it will be a negative value that is why I considered GX to be smaller than HX but even if I consider GX smaller it's not going to be smaller than FX that is why I got GX and then FX.

Hence, HX then GX then FX

Help pls I need help

Answers

Answer:

3 3/7

Step-by-step explanation:

8/1 divided by 2 1/3 = 8/1 x 3/7

8/1 x 3/7 = 24/7

24/7 = 3 3/7

Noah walks to school from home by going 7 blocks north, to a post office, and then 24 blocks east. Noah's home, point H, is at (0,0); the post office, point P, is at (0,7); and the school, point S, is at (24,7). If Noah then walks home using the direct path, what would be the total distance Noah traveled to school and back home?

Answers

Answer:

25

Step-by-step explanation:

The total distance Noah traveled to school and back home will be Noah's displacement. Displacement of Noah can be gotten using Pythagoras theorem.

d² = y²+x²

Direction through north (along y-axis)

Direction through east (along x-axis)

Given

y = 7units

x = 24units

Substitute

d² = 24²+7²

d² = 576+49

d² = 625

d = √625

d = 25 units

Hence the total distance Noah traveled to school and back home is 25blocks from post office

Select the equation that most accurately depicts the word problem.

Mary Lou has 2 more nickels than pennies, and she has 30 coins all together. Use x for the number of pennies.

a. x + 2 = 30
b. x + (x + 2) = 30
c. 2(x + 2) = 30
d. 2x + 30 = 5

Answers

Answer:

B. x + (x+2) = 30

Step-by-step explanation:

If x equals pennies, then one part of the statement should include an addition of 2, along with the additions of the value of pennies; and it should all equal 30.

Answer:

B. x + (x + 2) = 30

Step-by-step explanation:

x = number of pennies

y = number of nickels

x + y = 30

y = 30 - x

She has two more nickels then pennies, therefore:

y = x + 2

30 - x = x  + 2

30 = x + x + 2

x + (x + 2) = 30

Work out the value of (2x10^4)+(7x10^3) in standard form

Answers

Answer:

27000x

Step-by-step explanation:

Answer:

27000

Step-by-step explanation:

(2 * 10^4) + ( 7 * 10^3)

rewrite in standard form

20000 + 7000

solve

= 27000

If the perimeter of a
square is 60 feet, what is
the area of the square?

Answers

Answer:

225 ft I believe  

Step-by-step explanation:

Answer:

225

Step-by-step explanation:

Well, the formula for perimeter is simply 2 times length + 2 times width. In the case of our square, this would simply be 2x+2x (since length = width), or 4x . Therefore, if given an area, all you'd do is take the square root (to get from x2 to x , and then multiply by 4 to find perimeter.

Mrs. Wright sold t-shirts for $12.00, which was a 30% markup from what she paid for each. How much did Mrs. Wright pay for each t-shirt originally? (remember to round to the nearest hundredth so it looks like money

Answers

Answer:

She originally paid $3.60

Step-by-step explanation:

She originally paid for them $3.60 before the markup of 30%.

We can use this equation [tex]12 x 0.3 = 3.60[/tex] to confirm our answer. We also add a zero at the end because we are using units of money.

PLEASE HELP QUICKLY! 30 POINTS AND WILL MARK BRAINLIEST.

Write a recursive formula for the sequence.
6, 17, 28, 39, 50, ...

A. f(1)-6; f(n)=f(n-1)+11
B: f(1)=6; f(n)=6*f(n-1)+11
C. f(1)=6; f(n)=f(n-1)+6
D. f(1)=6; f(n)=11*f(n-1)

Answers

Answer:

C. f(1)=6; f(n)=f(n-1)+6

Step-by-step explanation:

Pens cost $0.20 each. Pencils cost $0.15 each. Write an algebraic expression that represents the total cost of buying p pens and n pencils. (Will give brainliest if correct)

Answers

Answer:

y=0.20p + 0.15n

Step-by-step explanation:

I believe this is correct I am 90% positive that it is right.

The algebraic expression will be C = 0.20 p + 0.15 n

It is given that a pen cost $0.20 and a pencil cost $0.15.

We have to give expression for total cost of p pens and n pencils.

What will be the value if 2 times of x is added to x ?

The value will be 3x.

Cost of 1 pen = $0.20

Cost of p pens will be ;

= 0.20 p

Cost of 1 pencil = $0.15

Cost of n pencils = 0.15 n

If total cost is represented by C then ;

C =  0.20 p + 0.15 n

Thus , the algebraic expression will be C = 0.20 p + 0.15 n

To learn more about algebraic expressions click here ;

https://brainly.com/question/2164351

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2 2/6 + 3 2/6?? help pls im dumb ​

Answers

Answer:

5 4/6

Step-by-step explanation:

You have to add the whole numbers then add the numerators of the fraction since the denominators are the same.


Use the number line to complete the task.

Move numbers to the lines to create two absolute value expressions that represent the distance between the two points on the number line,
Expression A: -10 -
Expression B:| -10 + (_
-6
-4
4
6

Answers

Answer:

Expression A: |-10 - (-4)|

Expresion B: |-10+4|

Step-by-step explanation:

The distance (which you can get by counting on the numberline) is 6. This mean that the value derived wiithin the absolute value must be either 6 or -6. Answers of 4 and negative 4 get you this answer.

List the least common factor for 120
and 200

Answers

Answer: Lcm = 600

Step-by-step explanation: Find the prime factorization of 120

120 = 2 × 2 × 2 × 3 × 5

Find the prime factorization of 200

200 = 2 × 2 × 2 × 5 × 5

Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the LCM:

LCM = 2 × 2 × 2 × 3 × 5 × 5

LCM = 600

Answer:

600

Step-by-step explanation:

120= 2*2*2*3*5________eq1

200=2*2*2*5*5_________eq2

we get common factor from 1 and 2

2*2*2*5*3*5 = 600

so the least common factor is 600

Find the perimeter of the given figure.​

Answers

I think the answer is 24

Pls help question is in the pic. Please give a right answer thx :D

Answers

Answer:

61.2

Step-by-step explanation:

ask me a question. any question. ill probably answer it. unless I'm lazy.

Answers

Answer:

What is your fav artist music wise

Step-by-step explanation:

Select all polynomials that have (x + 2) as a factor.
Choose all answers that apply:
A A(x) = x^3– 3x^2 – 10x
B B(x)= x^3+ 5x^2 + 4x
C C(x)= x^3 – 2x^2 – 13x – 10
D D(x) = x^3– 6x² + 11x- 6

Answers

Answer:

A. (x) = x^3– 3x^2 – 10xx) / (x - 5) x (x + 2) YES

B. (x)= x^3+ 5x^2 + 4x / x (x + 1) (x + 4) NO

C. (x)= x^3 – 2x^2 – 13x – 10 x / (x - 5) (x + 1) (x + 2) Yes

D. (x) = x^3– 6x² + 11x- 6 / x = (x - 3) (x - 2) (x - 1) NO

Step-by-step explanation:

The solution is:;

A. (x) = x^3– 3x^2 – 10xx) / (x - 5) x (x + 2)

C. (x)= x^3 – 2x^2 – 13x – 10 x / (x - 5) (x + 1) (x + 2),

are the polynomials that have (x + 2) as a factor.

What are Polynomials?

Polynomials are sums of k-xⁿ terms, where k can be any number and n can be any positive integer.

3x+2x-5, for example, is a polynomial.

EXPLANATION

We want to find which of the given polynomials has (x + 2) as a factor.

To do this, we have to equate (x + 2) to 0 and solve for x:

(x + 2) = 0

x = -2

Now, substitute that into each of the polynomials. If (x + 2) is a factor of a polynomial, the polynomial will become 0 after the substitution is made.

A. (x) = x^3– 3x^2 – 10xx) / (x - 5) x (x + 2) YES

B. (x)= x^3+ 5x^2 + 4x / x (x + 1) (x + 4) NO

C. (x)= x^3 – 2x^2 – 13x – 10 x / (x - 5) (x + 1) (x + 2) Yes

D. (x) = x^3– 6x² + 11x- 6 / x = (x - 3) (x - 2) (x - 1) NO

Hence, The solution is:;

A. (x) = x^3– 3x^2 – 10xx) / (x - 5) x (x + 2)

C. (x)= x^3 – 2x^2 – 13x – 10 x / (x - 5) (x + 1) (x + 2),

are the polynomials that have (x + 2) as a factor.

Know more about Polynomials here:

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Can anyone help me with thiss? I need the solution ASAP! [tex](n − m)2 for m = −3 and n = 7[/tex]

Answers

[tex]\mathfrak{\huge{\pink{\underline{\underline{AnSwEr:-}}}}}[/tex]

Actually Welcome to the Concept of the Algebric Operation,

here, m=-3 and n=7

, after substituting we get as,

(7-(-3))*2

=> (7+3)*2

=>10*2

=>20

hence, final answer is 20

Siguiendo la ley de los signos ¿qué signo obtenemos al multiplicar dos signos iguales?


•Suma?
•Menos?
•Positivo?
•Negativo?

Answers

Answer: Si se multiplica un número positivo por uno negativo, el resultado tiene signo negativo. Si se multiplican dos números con signos iguales, el resultado tiene signo positivo

Step-by-step explanation:

whats is 183x194??????????

Answers

183 x 194 = 35,502

you could use a calculator or put it into the overlap form

Answer:

35502

Step-by-step explanation:

The product will be 35502, 183x100+183x90+183x4=18300+16500+732=35502. Hope it helps!

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