Adult tickets for the school musical are sold for $3.50 and student tickets are sold for $2.50 on a given night 425 tickets were sold for $ 1237.50. Wrote a system of linear equations for the problem

Answers

Answer 1

Answer:

3.5x + 2.50y = 1237.50

425 = x + y

Step-by-step explanation:

number of adult tickets: x

number of student tickets: y

3.5x + 2.50y = 1237.50

( value of adult ticket [3.50]* number of adult tickets [x]) + (value of student ticket [2.50] * number of student tickets [y]) = total value (1237.50)

425 = x + y

(number of adult tickets [x]) + (number of student tickets [y]) = total (425)


Related Questions


Describe how the graph of y= 2x + 7 is the same and
different from the graph of y=2x - 7.

Answers

Answer: the placement/ digest are the same but because on is positive and the other is negative, the answer will be different

Step-by-step explanation:

Answer:

different y-intercepts; same slopes
Step-by-step explanation:

if x=0, then y=7,-7

To map △PQR onto △STU, there must be a factor k that reduces △PQR.
Find each length.
PQ = 5
QR = 7
ST = 5
TU = 5
Step 2 out of 5:
If kPQ = ST, then k =

Answers

Answer: k=1

Step-by-step explanation: PQ already equals ST

Have to find x,y and z.

Answers

Answer:

z= 2√2

x=2

y=2√2

Sin 38° = x/21
How to solve? what is answer?​

Answers

Answer:

x = 12.936

Step-by-step explanation:

sin(38) = .616

x/21 = .616/1

x = 12.936

Answer: x= 12.92889098

Step-by-step explanation:

Step 1: Cross multiply sin38/1 with x/21  

Step 2: x= 21 sin38

step 3: use a scientific calculator (you can type in desmos calculator for one) to input 21 sin(38) to get answer.

10, 6, 3, 10, 1
Mode ??
Median ??

Answers

Answer:

Median is 6 Mode is 10

Step-by-step explanation:

Median is the middle number when all the numbers are lined up in order.

Mode is the number that shows up most frequently.

Answer:

Mode: 10

Median: 6

Step-by-step explanation:

1.1. Which statement explains why the two systems of equations below have the
same solution?
A(6x + 8y = -10
2x - 5y = 12
B
8x + 3y = 2
12x + 16y = - 20
A. The first equation in B is the sum of the equations in A, while the other is obtained
by multiplying the second equation in A by 6.
B. The first equation in B is the sum of the equations in A, while the other is obtained
by multiplying the first equation in A by 2.
C. The equations in A are increased by 12 and -32 to get the equations in
D. The equations in A are multiplied by 2 and 4 to get the equations in B.

Answers

Answer:

Correct Answer is B. The first equation in B is the sum of the equations in A, while the other is obtained  by multiplying the first equation in A by 2.

Step-by-step explanation:

As given,

A : 6x + 8y = -10     .......equation (1)

     2x - 5y = 12      .......equation (2)

B : 8x + 3y = 2         .......equation (1)

  12x + 16y = - 20    .......equation (1)

Correct Answer is B. The first equation in B is the sum of the equations in A, while the other is obtained  by multiplying the first equation in A by 2.

Proof :

The first part says that ,

Sum of equation (1) of A and equation (2) of A = Equation (1) of B

Firstly , find the Sum of equation (1) of A and equation (2) of A

⇒6x + 8y + 2x - 5y = -10 + 12

⇒8x + 3y = 2

this is same as equation (1) of B

So, it satisfies the first part

The second part says that,

The equation (2) of B is obtained by multiplying the first equation in A by 2.

It means , if the equation (1) is multiplied by 2 = equation (2) of B

Firstly , if the equation (1) is multiplied by 2 , we get

2 ( 6x + 8y = -10 )

⇒ 2 ( 6x + 8y ) = 2 ( -10)

⇒ 12x + 16y = -20

this is same as equation (2) of B

So, it satisfies the second part.

SOMEONE PLZZZ HELP MEE WHATS THE ANSWER AND EXPLAIN WHY IM GIVING 25 BRAINLIEST!!

Answers

Answer:

15

Step-by-step explanation:

75.00 - 20% is 60

60 + (tax 15) is 75.00

So I'm guessing that the tax rate is 15

Please answer this ASAP

Answers

Answer: 2x and y= 4+

Step-by-step explanation:

x = 2 times 2 and so on....

y = 4 plus 4 plus 4 etc....

Use multiplication to find the quotient. 5 / 1/4

Answers

Answer:

20

Step-by-step explanation:

5/ 1/4 --> 5 x 4 (flip the 1 and 4 in 1/4)

It rained 6 days in the month of april. What percent of the month did it rain?

**there are 30 days in April**

Answers

Answer:

5% of the time or in a decimal it's 0.05

PLS HELP ASAP I DONT HAVE TIME FOR THIS, IT ALSO DETECTS IF ITS RIGHT IR WRONG

Answers

Answer:

a

Step-by-step explanation:

Write an equation that represents the line

Answers

The point on the y axis is y=6/5–5
46Because when you look at the land it’s on the floor and six and then you just put that into the middle of it and you get your answer

Veronica bought an ICEE for $6 at the movies. She also bought some hot dogs for $3 each. Veronica did not want to spend more than $27 on the ICEE and hot dogs. Which inequality can be used to find h, the number of hot dogs Veronica could have bought?

Answers

Answer:

6 + 3h ≤ 27

Step-by-step explanation:

hope this helpsss

An economic model predicts that the supply, s, and the demand, d, for a new product can be estimated using the
lines on the graph below.

Answers

80 is the correct answer

Mrs.Giblin begins hiking at mile marker 25 on the Appalachian Trail and hikes 3 miles every hour. What is the slope?

Answers

Answer:

3 miles

Step-by-step explanation:

Slope is simply the change in position per unit rate. We could conclude that the steepness of the Applachian is the rate of change in position per unit time. Since the distance hiked on the Applachian is said to be 3 miles per hour, then we can conclude that the slope of the applachian is 3 miles

This is the change in miles / change in time.

Chang in miles = 3

Change in time = 1

Slope = 3/1

Slope = 3

Find the area of the parallelogram.

Answers

Answer:

12

Step-by-step explanation:

12 is the area

Since,

6×2=12

I need answers to these.

Answers

Ummmm 13 42 and 26..

How many solutions does 3(x + 5) – 3 = 2(3x + 1) – 3x have? Show your work.

Answers

Answer: There are no solution

Step 1: Simplify both sides of the equation.

3(x+5)−3=2(3x+1)−3x

(3)(x)+(3)(5)+−3=(2)(3x)+(2)(1)+−3x(Distribute)

3x+15+−3=6x+2+−3x

(3x)+(15+−3)=(6x+−3x)+(2)(Combine Like Terms)

3x+12=3x+2

3x+12=3x+2

Step 2: Subtract 3x from both sides.

3x+12−3x=3x+2−3x

12=2

Step 3: Subtract 12 from both sides.

12−12=2−12

0=−10

After solving the equation, the value obtained for x is 0, which means that there is no solution for the equation.

What is an equation?

Mathematical expressions with two algebraic symbols on either side of the equal (=) sign are called equations.

This relationship is illustrated by the left and right expressions being equal. The left-hand side equals the right-hand side is a basic, straightforward equation.

As per the given equation mentioned in the question,

3(x + 5) - 3 = 2(3x + 1) - 3x

Let's simplify the equation first,

3x + 15 - 3 = 6x + 2 - 3x

Now, rearrange the equation with similar terms on each side,

3x + 3x - 6x = 3 +2 - 15

0 = -10, then there is no solution.

To know more about equation:

https://brainly.com/question/29657983

#SPJ5

Mrs. Smith bought a used car. She paid $6,500 plus sales tax. The sales
tax was 7%. How much did she pay in sales tax?

Answers

Answer:

$450

Step-by-step explanation:

6500x0.07=
$455.00 is what she paid in taxes

The coordinates of a triangle are P(1, 4), Q(3, 6), and R(5, 2). The triangle is reflected over a line and its image coordinates are P'(–1, 4), Q'(–3, 6), and R'(–5, 2).

Answers

Answer:

Its reflected over the y axis

Team Green and Team Blue play in a competition. Team Green has twelve more points than Team Blue.
Team Green has four times as many points as Team Blue.
How many points does each team have?​

Answers

Answer:

Team blue points = 4 points

Team green points = 16 points

Step-by-step explanation:

Let

Team blue points = x

Team green points = (x + 12) points (1)

Team green points = 4x (2)

Equate equation (1) and (2)

x + 12 = 4x

12 = 4x - x

12 = 3x

x = 12/3

x = 4 points

Team blue points = x

= 4 points

Team green points = (x + 12)

= 4 + 12

= 16 points

Team green points = 4x

= 4(4)

= 16 points

The number of pizzas y you need for a party is proportional to the number of people x attending the party. You will need 2 pizzas for 10 people.

a. Write an equation that represents the situation. (Remember y=mx)

b. Interpret the slope.

c. How many pizzas are needed for 25 people?

Answers

Answer is C how many pizzas are needed for 25 people

The radius of a cylinder is increasing at a constant rate of 2 inches per minute. The volume remains a constant 440 cubic inches. At the instant when the radius of the cylinder is 44 inches, what is the rate of change of the height? The volume of a cylinder can be found with the equation V= [tex]\pi r^2h[/tex] Round your answer to three decimal places.

Answers

Answer:

The rate of change of the height is approximately [tex]-6.577\times 10^{-3}\,\frac{in}{min}[/tex].

Step-by-step explanation:

From Geometry we know that volume of cylinder ([tex]V[/tex]), measured in cubic inches, is expressed by:

[tex]V = \pi\cdot r^{2}\cdot h[/tex] (1)

Where:

[tex]r[/tex] - Radius, measured in inches.

[tex]h[/tex] - Height, measured in inches.

Given that volume remains constant, the expression for the rate of change of the height ([tex]\dot h[/tex]), measured in inches per minute, is:

[tex]2\pi\cdot r \cdot h \cdot \dot r + \pi \cdot r^{2}\cdot \dot h = 0[/tex]

[tex]2\cdot h\cdot \dot r + r\cdot \dot h = 0[/tex]

[tex]r\cdot \dot h = -2\cdot h \cdot \dot r[/tex]

[tex]\dot h = -\frac{2\cdot h\cdot \dot r}{r}[/tex]

[tex]\dot h = - \left(\frac{2\cdot \dot r}{r}\right)\cdot \left(\frac{V}{\pi\cdot r^{2}} \right)[/tex]

[tex]\dot h = -\frac{2\cdot \dot r \cdot V}{\pi\cdot r^{3}}[/tex] (2)

Where [tex]\dot r[/tex] is the rate of change of the radius, measured in inches per minute.

If we know that [tex]r = 44\,in[/tex], [tex]\dot r = 2\,\frac{in}{min}[/tex] and [tex]V = 440\,in^{3}[/tex], then the rate of change of the height is:

[tex]\dot h = - \frac{2\cdot \left(2\,\frac{in}{min} \right)\cdot \left(440\,in^{3}\right)}{\pi\cdot (44\,in)^{3}}[/tex]

[tex]\dot h \approx -6.577\times 10^{-3}\,\frac{in}{min}[/tex]

The rate of change of the height is approximately [tex]-6.577\times 10^{-3}\,\frac{in}{min}[/tex].

From 1999 to 2000, the number of days of unhealthy air quality in Charlotte, North Carolina, dropped from 5 to 2. Find the percent of decrease in the number of days of unhealthy air.


A.
15%


B.
6%


C.
1.5%


D.
60%

Answers

Wait let me see here

Answer: it’s D which is 60%, hope it helps

1. Compare each pair of integers using the symbols >, < or =
a. -2,[ ]-2
b. 17 [ ] 11
c. -3 [ ]7
d. -16[ ] 13

2. Order each set of integers from least to greatest
a. 98,5,46, 77, 24, 19
b. 58,46, 62, 79, 21, 6
c. 86, 65, 55, 30, 11, 41
d. 69, 65, 52, 48, 25,8​

Answers

1:
A. -2=-2
B. 17>11
C. 13<7
D. -16<13

2.
A. 5,19,24,46,77,98
B. 6,21,46,58,62,79
C. 11,30,41,55,65,86
D. 8,25,48,52,65,69

Larry paid $4.16 for 4 tomatoes. At this same rate, how much would 7 tomatoes cost?
-$11.16
-$7.28
-$7.00
-$2.38

Answers

Answer:

7.28

Step-by-step explanation:

You have to know the same rate for $4.16 for 4 tomatoes. Think about it

A right triangle has a leg of length 12 and a hypotenuse of length 23 yards. Find the length of the other leg (nearest tenth).

Answers

It would be 10 yards would be the answer

Which equation could be used for the situation below?


Jenna earns $8 each week by completing chores. She already has $12 in her savings. How much will she have after 4 weeks?


y = 8x + 4


y = 8x


y = 8x + 12

Answers

Answer:

Option C is the correct answer.

Step-by-step explanation:

Per week earning = $8

Amount in savings = $12

y = Total amount

x = Number of weeks

y = 8x + 12

Where we can put x=4 to calculate earning of 4 weeks.

y = 8(4) + 12

y = 32 + 12 = $44

Therefore,

Option C is the correct answer.

What is 83 + 119 + 17 =

Answers

Answer:

219

Step-by-step explanation:

83 + 119 = 202

202 + 17 = 219

Answer:

219

Step-by-step explanation:

83 + 119 = 202

202 + 17 = 219

During second period, Bryant completed a grammar worksheet. He got 21 out of 75 questions
correct. What percentage did Bryant get correct?

Answers

The answer is 28%, 21/75=.28=28%
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