Suppose that there are two types of tickets to a show: advance and same-day. The combined cost of one advance ticket and one same-day ticket is $70. For one performance, 25 advance tickets and 35 same-day tickets were sold. The total amount paid for the tickets was $2050. What was the price of each kind of ticket?

Answers

Answer 1

Answer:

You can use the method of substitution.

Let the advance and same-day tickets be x and y respectively.

x + y = $70 ---> (1)

25x + 35y = $2050 ---> (2)

From Statement (1):

Let (1) × 25

25x + 25y = $1750

10y = $2050 - $1750

      = $300

y = $300 ÷ 10

  = $30 ---> (3)

From Statement (3):

Substitute (3) into (1)

x + $30 = $70

x = $70 - $30

  = $40

Advance ticket: $40

Same-day ticket: $30


Related Questions

1 2/5m-3/5(2/3m+1)pls help

Answers

Answer:  (10m-3)/5

Step-by-step explanation:

Convert 1 2/5 into an improper fraction

Simplify  5+25+2  to  7

Simplify 2/3m to 2m/3

Simplify 7/5m to 7m/5

Expand and remove the parenthesis

Collect the like terms

Simplify

8. What are the solutions to this system
of equations?
3x + y = -1
2x + y=0
Identify the Nature of the Solution, Show
all work below.

-

Answers

Answer:

Below in bold.

Step-by-step explanation:

3x + y = -1

2x + y=0

Subtract to eliminate y:

3x - 2x + y - y = -1 - 0

x = -1

So, substituting for x in the first equation;

3(-1) + y = -1

y - 3 = -1

y = 2.

The solution is the ordered pair (-1, 2).

The system is a pair of straight lines which intersect at the point (-1, 2).

what is 70*77 please help

Answers

Answer: 5390
70*7=5390
Here is why: The result of multiplying 70 with 77 is called the product. Thus, the product of 70 and 77 is as follows:

5390

In other words, we find the product of 70 and 77 by simply calculating 70 times 77 which equals 5390. Pretty easy huh?

If someone asks you, "What is the product of 70 and 77?", your answer will be:

70 x 77 = 5390

To find any product in the future on your own, just remember that the product is the answer you get when you multiply numbers together.

Three Snickers bars and two Butterfinger bars contain a total of 23 grams of protein. One Snickers bar and one Butterfinger bar contain a total of 10 grams of protein. How much protein does one Snickers bar contain?

Answers

Answer:

.

Step-by-step explanation:

Find the future value of 1000 at 7 % interest compounded annually for 10 years.​

Answers

Answer:

1967.15

Step-by-step explanation:

1000 x 1.07^10 = 1967.15

The future value of 1000 with annual compounding for 10 years is $1967.15.

The formula for calculating with annual compounding is:  

FV = P (1 + r)^n  

FV = Future value  P = the amount deposited R = interest rate   N = number of years  

1000 x (1.07)^10 = $1967.15

To learn more about future value, please check: https://brainly.com/question/18760477

How many times do 5 go into 32

Answers

Answer:

6 times or 6.4

Answer
6 times
Explanation
32/5 = 6.4

f(x)=x^2-7 and h(x)=7x-5, then f(h(2))= ?

Answers

Answer:    74

==================================================

Work Shown:

h(x) = 7x-5

h(2) = 7(2)-5

h(2) = 14-5

h(2) = 9

f(h(2)) = f(9)

f(x) = x^2-7

f(9) = 9^2-7

f(9) = 81-7

f(9) = 74

f(h(2)) = 74

-----------

Here's a slightly alternative approach:

f(x) = x^2 - 7

f(h(x)) = ( h(x) )^2 - 7

f(h(x)) = ( 7x-5 )^2 - 7

f(h(2)) = ( 7*2-5 )^2 - 7

f(h(2)) = ( 14-5 )^2 - 7

f(h(2)) = ( 9 )^2 - 7

f(h(2)) = 81 - 7

f(h(2)) = 74

Quantity is proportional of 40/8

Answers

The answer is 5
40/8=5

Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y. Then find the area of the region y=4x^2, y=x^2 + 3

Answers

Answer:

Step-by-step explanation:

integrate with respect to x

Area is symmetric so will be twice the integral from zero to 1

( I cannot seem to figure out how to make the lower limit negative in this editor)

[tex]A = 2\int\limits^1_0 {(x^2 + 3) - 4x^2} \, dx[/tex])

[tex]A = 2\int\limits^1_0 {-3x^2 + 3} \, dx[/tex]

[tex]A = 6\int\limits^1_0 {-x^2 + 1} \, dx[/tex]

A = 6(-⅓x³ + x)[tex]\left \| {{x=1} \atop {x=0}} \right.[/tex]

A = 6((-⅓(1)³ + (1)) - (-⅓(0)³ + (0)))

A = 6(⅔)

A = 4 units²

x - y = -4
-5 + 6y = 22

The answer is (-2,2) but i just need to show the work for it so please help with that.

Answers

Answer:

(-2, 2).

Step-by-step explanation:

  x - y = -4

-5x + 6y = 22    Multiply the first equation by 5:

5x - 5y = -20    Now  Add the last 2 equations:

y = 2.

Substitute y = 2 in the first equation:

x - 2 = -4

x = -4 + 2

x = -2.

Answer:

x=1/2, y=9/2. (1/2, 9/2).

Step-by-step explanation:

x-y=-4

-5+6y=22

--------------

y=x-(-4)

y=x+4

-5+6(x+4)=22

-5+6x+24=22

6x+24-5=22

6x+19=22

6x=22-19

6x=3

x=3/6

x=1/2

y=1/2+4=1/2+8/2=9/2.

How do you turn a 5:1 ratio into a fraction

Answers

Answer:

[tex]\frac{5}{1}[/tex] is the same as 5:1

Calculate the sum of integers x satisfying 15 ⋮ x and x < 0

Answers

Answer:

radius of the curve=r=150m

coefficient of friction=\muμ =0.6

As car is avoid skidding

\begin{gathered}\\ \sf\hookrightarrow \dfrac{mv^2}{r}=\mu mg\end{gathered}

r

mv

2

=μmg

Cancel m

\begin{gathered}\\ \sf\hookrightarrow \dfrac{v^2}{r}=\mu g\end{gathered}

r

v

2

=μg

\begin{gathered}\\ \sf\hookrightarrow v^2=\mu rg\end{gathered}

↪v

2

=μrg

\begin{gathered}\\ \sf\hookrightarrow v^2=0.6(10)(150)\end{gathered}

↪v

2

=0.6(10)(150)

\begin{gathered}\\ \sf\hookrightarrow v^2=60(150)\end{gathered}

↪v

2

=60(150)

\begin{gathered}\\ \sf\hookrightarrow v^2=900\end{gathered}

↪v

2

=900

\begin{gathered}\\ \sf\hookrightarrow v=30ms^{-1}\end{gathered}

↪v=30ms

−1

Solve for q using both equation 1 and 2 question in pic

Answers

Answer:

p=1/8     q=3/4

Step-by-step explanation:

-2p+7q=5

-6p+35q=51/2

cancel out a variable

(-5)(-2p+7q=5)

-6p+35q=51/2

10p-35q=-25

-6p+35q=51/2  =

4p=1/2

4p/4=1/2  /4

p=1/8

substitute p=1/8 into one of the equation to find q

-2p+7q=5

-2(1/8)+7q=5

-1/4+7q=5

7q=5+1/4

7q=21/4

q= 21/4  /7

q=3/4

I am doing Khan Academy and I'm stuck on a question that said " What is another way to make 4.65 ? "
I learned it at school but I still need help on that Question.

Answers

Answer:

[tex]\frac{465}{100}[/tex] or [tex]\frac{93}{20}[/tex]

Step-by-step explanation:

You can always just multiply the by 100/100 to get any number into a fraction form. I am not sure if this is what you were asking, but here you go. Then you can simplify to get 93/20.

You gotta swag it aht twin

50pt Which of the following are maximum and minimum points of the function y=sin(x+ π)?

Answers

Answer:

  none of the above

  Maximum (3π/2, 1); Minimum (π/2, -1)

Step-by-step explanation:

The sine function is shifted left 1/2 cycle by the addition of π to x in the argument. That basically inverts the function, so it is equivalent to ...

  y = -sin(x)

This has a minimum of -1 at π/2, and a maximum of +1 at 3π/2. This does not match any of the offered answer choices.

__

You might want to discuss this question with your teacher.

Answer:

The correct answer is C!

Step-by-step explanation:

The dude that said there’s no answer doesn’t know what he’s talking about.

im stuck step bro #im a guy

Answers

Answer:

Well then...

Step-by-step explanation:

50, 60, 72, ...
Find the 8th term.

Answers

The answer to this pattern 179.159
I found because it seems to be multiplied by 1.2.

A projectile is thrown upward so that its distance above the ground after t seconds is h = -156 + 510t. What is its maximum height?​

Answers

For the parabola:

h(t) = -at2 + bt, the maximum occurs at -b/2a

For h(t) = -16t2 + 576t that is -576/(-2)(-16), or -576/32, or 18.

The projectile is at its highest point at 18 seconds.

...............................

Answers

Step-by-step explanation:

.....................

4. The function y=-0.12x + 0.4 represents the percent y in decimal form of
battery power remaining x hours after turning on the laptop.

The slope is BLANK. This means the power is BLANK
by BLANK % per hour.

Please fill in blanks tysm

Answers

Answer:

Slope=0.12   power is down by 28%

Step-by-step explanation:

:)

Convert 4pie/5 to degrees. 135° 144° 216° 225°

Answers

[tex]\huge \bf༆ Answer ༄[/tex]

For converting radians to degree, we multiply the value in radian by [tex] \dfrac{180}{π}[/tex]

That is ~

[tex] \sf \dfrac{4 \cancel\pi}{ \cancel5} \times \dfrac{ \cancel{180} \: \: {}^{36} }{ \cancel\pi} [/tex]

[tex] \sf4 \times 36[/tex]

[tex] \sf144 \degree[/tex]

-16-|-2-4|+7 please solve this for me and explain. i would really appreciate it.

Answers

Answer:

-15

Step-by-step explanation:

-16 -|-6| +7

-16 - 6 + 7

= - 15

Absolute value is just taking the positive value of a number.

Step-by-step explanation:

-16-(-2-4)+7=

-16-(-6)+7=

-16+6+7=

-16+13=

-3

Which of the following quadrants of the standard (x,y) coordinate plane contain points on the graph of the equation 6x – 3y = –9 ?
A. l and lll only
B. l, ll and lll only
C. l, ll and IV only
D. I, II and IV only
E. II, IIIand IV

Answers

Using linear function concepts, it is found that the correct option is:

B. l, ll and lll only

A linear function is modeled by:

[tex]y = mx + b[/tex]

In which:

m is the slope.b is the y-intercept.

If the slope is positive.

The function goes through quadrants I and III.If the intercept is positive, it also goes through quadrant II.If the intercept is negative, it also goes through quadrant IV.

If the slope is negative:

The function goes through quadrants II and IV.If the intercept is positive, it also goes through quadrant I.If the intercept is negative, it also goes through quadrant III.

In this problem, the equation is:

[tex]6x - 3y = - 9[/tex]

Placing it into the standard format:

[tex]3y = 6x + 9[/tex]

[tex]y = \frac{6}{3}x + \frac{9}{3}[/tex]

[tex]y = 2x + 3[/tex]

Both slope and intercept are positive, hence, quadrants I, II and III, option B.

You can learn more about linear functions at https://brainly.com/question/16302622

The scale on a map is 2 in. =250 miles. If Toledo and Kansas City are 2.25 in. How far are they apart in real life?

Answers

Answer:

281.25 miles

Step-by-step explanation:

2=250

1=125

0.5=62.5

0.25=31.25

250+31.25=281.25

GIVING 25 POINTS
Why won’t you ever have a remainder when dividing decimals?

Answers

Answer:

Because it is decimal

Step-by-step explanation:

Decimal do not have remainder

An eight-person relay team completed a race in 96.8 seconds. On average, what was each runner's time?

Answers

Answer:

12.1

Step-by-step explanation:

Answer:

12.1 Seconds

Step-by-step explanation:

96.8/8=12.1

Which answer best describes the complex zeros of the polynomial function?
f(x) = 13 - 22 + 6x - 6
The function has two real zeros and one nonreal zero. The graph of the function intersects the x-axis at exactly one
location.
The function has one real zero and two nonreal zeros. The graph of the function intersects the x-axis at exactly two
locations.
The function has one real zero and two nonreal zeros. The graph of the function intersects the x-axis at exactly one
location.
The function has three real zeros. The graph of the function intersects the x-axis at exactly three locations.

Answers

Answer:

The function has one real zero and two nonreal zeros. The graph of the function intersects the x-axis at exactly one

location.

what does the E stand for in PEMDAS?

Answers

Answer:

Exponents

Step-by-step explanation:

Parentheses

Exponents and roots

Multiplication

Division

Addition

Subtraction

Help help math straightforward answer ASAP pelsss thanks

Answers

Answer:

55 degrees

Step-by-step explanation:

a line is 180 degrees. also, all angles in any triangle add up to 180 degrees. so, find the missing angle in the triangle by 180-30-25=125 degrees. Then to find angle 4, 180-125=55 degrees.

1/2x + 4 = 10
solve the following equation algebratically. Show the work to support the answer.

Answers

Answer:

(1/2)x + 4 - 4 = 10 - 4

2(1/2)x = 6 * 2

x = 12

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