A total of 937 people attend the play. Admission was $2.00 for adults and $0.75 for students. The totral ticket sales amounted to $1,109. How many students and adults attended the school play? - Applying Linear Systems in the Real World

Answers

Answer 1

Answer:

x = students

y = adults

Linear Systems of Equations :

x + y = 937

0.75x + 2y = 1,109

Step-by-step explanation:

Step 1 : eliminate one of the variables

x + y = 937

0.75x + 2y = 1,109

-2(x + y = 937) = -2x - 2y = -1874

-2x - 2y = -1874

0.75x + 2y = 1109

We can eliminate y since -2y + 2y = 0

Step 2: Find x number of students.

-2x = -1874

+0.75x = 1109

____________

-1.25x = -765

____________ = 612 students attended

     -1.25

937 - 612 = 325 adults

Check Answer :

612 x 0.75 = $459

325 x 2 = $650

$650 + $459 = $1,109

Therefore, there will be 612 students attending and 325 adults.


Related Questions

Choose the methods of solving quadratic equations

Completing the Square
Factoring
Square Root Method
Area Formula
Simplifying
Cross Multiplication
Guess and Check
Quadratic Formula
Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag the item to the trashcan. Click the trashcan to clear all your answers.
Solve this quadratic equation using the quadratic formula.

x2 + 8x - 5 = 0
Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag the item to the trashcan. Click the trashcan to clear all your answers.
Solve this quadratic equation using the quadratic formula.

2x2 - 2x = 1

Answers

Answer:

Factoring square root method quadratic formula completing the square method . x1=3+(check)3 and x2=3-(check)3 .

Step-by-step explanation:

Have an amazing day<3 thirty percent chance this is right 70 it’s wrong

(n+t) divided by 4 i need the answer please

Answers

Answer:

[tex]\frac{n+t}{4}[/tex]

Step-by-step explanation:

(n+t) divided by 4

The equation would be [tex]\frac{n+t}{4}[/tex]

Hope this helps

Answer:

(n+t)/4

Step-by-step explanation:

A 2km long stretch of road needs to be resurfaced. The width of the road is 8.3m. Model this stretch of road as a rectangle.Work out the area of road that needs to be resurfaced in metre squared. Resurfacing this road costs £30 per square metre What is the total cost to resurface this road?

Answers

1 km = 1000 meters

2 km = 2 x 1000 = 2,000 meters

Area = length x width

Area = 2,000 x 8.3 = 16,600 square meters

Cost:

Multiply total area by cost per square meter:

16,600 x 30 = £498,000

help on this please
Find < Z

Answers

Answer:

150°

Step-by-step explanation:

2x+x+90=180

3x=90

x=30

z= 180-x = 180-30 = 150°

help?- Plot and connect the points A (-4, 4), B (-1, 1), C (-6, 1), and find the length of BC.
A.
4 units
B.
2 units
C.
6 units
D.
5 units

Answers

the answer could be D 5 units
because the distance between B and C is 5 by looking at the x-axis

Answer:

BC= 5 units

Step-by-step explanation:

What value of x would make the inequality true?

2x + 5.5 < 20

A) 19/2

B) 9/4


Part two

What other value of x would make the same inequality true?

2x + 5.5 < 20

C) 5

D) 7.25

Giving brainlest!!!

Answers

Answer:

whats?

Step-by-step explanation:

Answer:

19/2 and 7.25

Step-by-step explanation:

1.

19/2=9.5

2×9.5+5.5=

19+5.5=

24.5

24.5 <20

verified

2.

2×7.25+5.5<20

14.50+5.5 <20

20 <20

verified

please mark as brainliest answer

A 95% confidence interval is (70,110). what is the margin for error? A. 19 B.38 C.20 D.40

Answers

Answer:

C.20

Step-by-step explanation:

Confidence interval concepts:

A confidence interval has two bounds, a lower bound and an upper bound.

A confidence interval is symmetric, which means that the point estimate used is the mid point between these two bounds, that is, the mean of the two bounds.

The margin of error is the difference between the two bounds, divided by 2.

In this question:

Lower bound: 70

Upper bounf: 110

Margin of error:

[tex]M = \frac{110 - 70}{2} = \frac{40}{2} = 20[/tex]

Thus the correct answer is given by option C.

Please help! What is the division problem represented by this model?

Answers

Answer:

the answer is 42/100

42 blocks are shaded out of 100

f(2) if f(x) = (x + 1)2.

Answers

Answer:

6

Step-by-step explanation:

f(2) = (2 + 1)2

(3)2

6

Answer:

6

Step-by-step explanation:

f(2) = (2+1)*2, f(2) = 3*2 = 6

Determine whether the given triangles are congruent

Answers

Answer:

Yes they are congruent and it is explained below

Step-by-step explanation:

There are 5 postulates when testing for congruency and they are;

SSS, SAS, ASA, AAS and HL.

S represents side

A represents angle

H represents hypotenuse

L represents leg

Now, in this our question, we can see that the 3 angles and the three sides of both triangles are equal to each other.

Thus, we can make use of SSS postulate whereby we say the 3 sides of the first triangle are equal to the 3 sides of the second triangle.

Thus, they are congruent.

Are these relations a function? Yes or no.
{(–1,5), (2, -1),(4,3), (9,-4), (11, 1)}

Answers

Function is a set of ordered pairs where there cannot be same x-values or repetitive domain in a set.

For example below below:

{(1,1),(2,3),(3,3),(4,5)}

The following relation is a function since there are no same x-values in a set.

{(1,1),(1,2),(2,2),(4,8)}

The following relation is not a function since there are same two x-values which is D = {1} or (1,1) and (1,2) both have same domain. Thus, not making the relation a function.

From the question, the relation is a function because in a set of ordered pairs, there aren't any same x-values.

Answer

Yes, the following relation is a function.

.........................​

Answers

Answer:

The literals are; a, b, and c

The constants are; c, and 3

The variables are; x, and y

Step-by-step explanation:

The literals (numbers) are letters which represent numbers in an expression or equation, and to which mathematical operations, including, addition, subtraction, division, and multiplication can be applied

The given equation is a·x² + b·x + c - y + 3 = 0

The literals are;

'a', 'b', and 'c'

The constants are the values that remain the same always in an equation and does not change

The constants are;

'c', and '3'

The variables are the values that vary in relation to one another

The variables are;

'x', and 'y'

What is the measure of RPQ

Answers

Answer:

239

Step-by-step explanation:

SP is the diameter so Arc RP is supplementary to Arc SR

[tex]31 + x = 180[/tex]

[tex]x = 149[/tex]

Arc PQ is supplementary to Arc SQ so

[tex]90 + x = 180[/tex]

[tex]x = 90[/tex]

Arc Addition:

[tex]149 + 90 = 239[/tex]

1. A zoo has an Asian elephant that weighs 6 tons. The elephant got sick and lost 1450 pounds. What is the elephants new weight in tons? 2. In a package of balloons, the ratio of purple balloons to green balloons is 3 to 4. What could be the total number of balloons in the package? 3. The ratio of red flowers to yellow flowers in a field is 5 to 7. If there are 392 yellow flowers in the field, how many red flowers are there?

Answers

Answer:

1. The new weight of elephant is 5.342 tones.

3. The number of red flowers are 280.

Step-by-step explanation:

1. weight of elephant = 6 tons

weight lost = 1450 pounds

As , 1 pound = 0.000454 ton

So, 1450 pounds = 0.658 ton

The new weight of elephant is

= 6 - 0.658 = 5.342 tones

3.

red flower to the yellow flower is 5 : 7

Number of yellow flowers = 392

Let the red flowers are R.

So,

[tex]\frac {5}{7}=\frac{R}{392}\\\\R = 280[/tex]

the average length of string a and string d is 10x cm. the average length of string b and string c is 8x cm . the average length of strings b , c , d is 6x cm . find the length of string a in terms of x

Answers

Answer:

[tex]a = 18x[/tex]

Step-by-step explanation:

Given

[tex]\frac{1}{2}(a + d) = 10x[/tex]

[tex]\frac{1}{2}(b + c) = 8x[/tex]

[tex]\frac{1}{3}(b + c+d) = 6x[/tex]

Required

The value of (a)

We have:

[tex]\frac{1}{2}(a + d) = 10x[/tex] --- multiply by 2

[tex]\frac{1}{2}(b + c) = 8x[/tex] --- multiply by 2

[tex]\frac{1}{3}(b + c+d) = 6x[/tex] --- multiply by 3

So, we have:

[tex]\frac{1}{2}(a + d) = 10x[/tex]

[tex]a + d = 20x[/tex]

[tex]\frac{1}{2}(b + c) = 8x[/tex]

[tex]b + c = 16x[/tex]

[tex]\frac{1}{3}(b + c+d) = 6x[/tex]

[tex]b + c + d= 18x[/tex]

Substitute [tex]b + c = 16x[/tex] in [tex]b + c + d= 18x[/tex]

[tex]16x + d = 18x[/tex]

Solve for d

[tex]d = 18x - 16x[/tex]

[tex]d = 2x[/tex]

Substitute [tex]d = 2x[/tex] in [tex]a + d = 20x[/tex]

[tex]a + 2x = 20x[/tex]

Solve for (a)

[tex]a = 20x - 2x[/tex]

[tex]a = 18x[/tex]

The point (5,-12) lies on the terminal side of an angel theta in standard position. Find the exact value of cot theta. Express the answer as a fraction reduced to the lowest term

Answers

Answer:

[tex]cot\theta=-\frac{5}{12}[/tex]

Step-by-step explanation:

We are given that the point (5,-12) lies on the terminal side of an angle theta in standard position.

We have to find the exact value of [tex]cot\theta[/tex].

Let

Point (x,y)=(5,-12)

[tex]r=\sqrt{x^2+y^2}[/tex]

Substitute the values

[tex]r=\sqrt{5^2+(-12)^2}[/tex]

[tex]r=\sqrt{169}=13[/tex]

We know that

[tex]cot\theta=\frac{x}{y}[/tex]

Using values

[tex]cot\theta=-\frac{5}{12}[/tex]

NEED HELP PLS!!!


In circle B with \text{m} \angle ADC= 81m∠ADC=81, find the \text{m} \angle ABCm∠ABC.

Answers

I don’t know sorry……………….

Which of the two data sets shown in the box
plots below has the greater mean?​

Answers

Answer:

Step-by-step explanation:

Remember that the mean is average

Ex. Set A

Add then divide by the 8

A factory puts 2,000 picture frames in each shipment. How many picture frames will the
factory put in 2 shipments?
picture frames

Answers

4,000

I know this because 2,000 • 2 = 4,000

Which expression is equivalent to this quotient?

[tex]\frac{1}{x+5} \\\frac{x+3}{5x+15}[/tex]

Answers

I think this was your problem.. hope this helps!

expand (y+1)(y-4) !!!!!!

Answers

Answer:

Step-by-step explanation:

y^2 - 4y + y - 4

y^2 - 3y - 4

Which expression is equivalent to 24 1/3? A. 2 square root 3 B. 2(3 square root 3) C.2 squareroot 6 D 2(3 square root 6) (look at image please)​

Answers

Answer: Its B

Explanation: took the quiz

[tex]\longrightarrow{\pink{ B. \:2\sqrt[3]{3} }}[/tex] 

[tex]\sf \bf {\boxed {\mathbb {STEP-BY-STEP\:\:EXPLANATION:}}}[/tex]

[tex]= {24}^{ \frac{1}{3} } [/tex]

[tex] = \sqrt[3]{24} [/tex]

[tex] = \sqrt[3]{2 \times 2 \times 2 \times 3} [/tex]

[tex] = \sqrt[3]{ ({2})^{3} \times 3} [/tex]

[tex] = 2\sqrt[3]{3} [/tex]

[tex]\red{\large\qquad \qquad \underline{ \pmb{{ \mathbb{ \maltese \: \: Mystique35♛}}}}}[/tex]

Solve the following system of equations using all three methods. Must show your work. 4x + y = 2 3x - 3y = 9

Part A: Solve by graphing.

Part B: Solve by substitution.

Part C: Solve by elimination.

Describe the process and steps you used to solve each method.

Answers

Answer:

Step-by-step explanation:

you do part a

Equation 1: 4x+y=2

Equation 2: 3x-3y=9

b

Divide equation 2 by 3

x-y=3

add y to both sides

x=3+y

Sbustitute this into equation 1

4(3+y)=2

12+4y+y=2

5y= -10

y= -2

Plug this into equation 1

4x-2=2

x=1

Part c.

Equation 1: 4x+y=2

Equation 2: 3x-3y=9

divide equation 2 by 3

x-y=3

add the two equations

(x-y)+(4x+y)=2+3

5x=5

x=1

Plug this into equation 1

4(1)+y=2

4+y=2

y= -2

For part a just create a table and graph it

Write an equation of the parabola that passes through the point (46, - 150) and has x-intercepts - 4 and 56 . Then find the average rate of change from x= -4 to x=6.

An equation is y =

The average rate of change is

Answers

Answer:

6w83ywytahausjsshshfwgwyee

Fbjdbdbdhhdhdbddbdbbdbddbbd so yea

The sum of the interior angle measures of a convex polygon with n sides is given by the expression 180n–360 . Factor the expression.

Answers

Answer:  180(n-2)

You use the distribution rule to factor

The distribution rule is a(b+c) = a*b+a*c

Find the missing side!!

Answers

The answer is 12

It is ratio to the is being enlarged on the ither sides

Answer:

the answer to the question is 12cm

The angle of elevation to a nearby tree from a point on the ground is measured to be 61 ∘ ∘ . How tall is the tree if the point on the ground is 59 feet from the tree? Round your answer to the nearest hundredth of a foot if necessary.

Answers

Answer:

106.44 ft

Step-by-step explanation:

tan = opp/adj

tan61 = opp/59

59*tan61 = opp

opp = 106.438817561014012

Rounded

106.44 ft

A bulb is rated at 330V- 110W. What do you think is its resistance? Three
such bulbs burn for 5hrs at a stretch. What is the energy consumed? Calculate
the cost in rupees if the rate is 1.70 paise per unit?

Answers

Answer:

330

Step-by-step explanation:

-$737737373hhhehehwywuuuwu

Solve the following system graphically.

y < - x
y =< x - 2

Upload one solution of the system and your graph

Answers

Answer:

a solution of the system is the point that satisfies both the equations

(1, -1) is a solution of the system

Please help me the picture is above I’ll mark as brainliest. I really need the answer

Answers

I think that is is 65 cubic inches in a box
Other Questions
Your family is planning a vacation at a nearby lake during August. Describe four things you will do on the vacation to decrease the risk of injury from water activities. Explain how each strategy reduces risk. (8 points) Find the dfference between (8a + 2b - 4) and (3b - 5) How did the Embargo Act affect British and French merchants? My cat ran away. If I get another cat , it will run away. This is an example of which type of reasoning? Use the universal law of gravitation to solve the following problem.Hint: mass of the Earth is = 5.97 x 1024 kgA scientific satellite of mass 1300 kg orbits Earth 200 km above its surface. If Earth has a radius of 6378 km, what is the force of gravity acting on the scientific satellite?a. Write out the formula for this problem.b. Plug in the values from this problem into the formula.c. Solve the problem, writing out each step.d. Correct answer The moment generating function for health care costs experienced by a policyholder is given as follows: Mx(t)= (4/4-t)^3An insurer reimburses the policyholder for 70% of health care costs experienced by the policyholder. Calculate the expected reimbursement by the insurer for a policyholder. need info for special ed life skills class about history and science for summer school? construct a scale of A-sharp major on a treble staff in ascending order only Can the properties of different substances in a mixture be used to separate them? Share 35 in the ratio 4:1 Which is the graph of f(x) = 2 (4)?540.4)404)4(4,4)333 2222(2.1)6,2)15 -4 -3 -2 -14134-5 4 -3 -2 -14234-5 6 -3 -2 -142345X-2-2 -3-34W4-55Tu54(24) 6. Is this a relation? Is this a function? Why or why not? Which literary device or technique is used in the given example below?"...overshadowed by the wall..." hp cht no c kh nng l hp cht ion cao nht ?A Al2O3B ScCl3C NO2D CCl4 please help and explain answer The volume of 10 drops of liquid is 0.1 fluid ounces.What is the volume of 10,000 drops how does family size affect on birth explain Help me please this is due today and its late help help!! A power plant generates 150 MW of electrical power. It uses a supply of 1000 MW from a geothermal source and rejects energy to the atmosphere. Find the power to the air and how much air should be flowed to the cooling tower (kg/s) if its temperature cannot be increased more than 10oC. To stay hydrated, adults should drink at least: