Tickets to games of a local basketball team cost $12 for students and $16 for adults. For one game, $3700 was collected and 250 tickets were sold. How many of each kind of ticket were sold? Write and solve a system of equations.

Answers

Answer 1
Let x be the number of students tickets and y be the number of adult tickets,
equation 1. 12x + 16y = $3700
equation 2. x + y = 250
In equation 2, x= 250-y — equation 3
Put equation 3 into 1,
12(250-y) + 16y = $3700
3000 - 12y + 16y = $3700
4y = $700
y = 175
Sub y = $175 into equation 2
x + 175 = 250
x = 75
The number of students ticket sold is 75 and the number of adult ticket sold is 175.

Related Questions

What is the geometric mean of 25 and 2

Answers

Answer:

Geometric Mean of 2 and 25: 7.0711

to the nearest tenth what is the circumference of a bicycle tire with a radius of 11 inches? use 3.14 for pi

Answers

Step-by-step explanation:

Radius = 11 inches

⇒ Circumference = 2πr

⇒ Circumference = (2 × 3.14 × 11) inches

Circumference = 69 inches

What is the volume of this cone?
Use a = 3.14 and round your answer to the nearest hundredth
13 mm
6 mm
how do i get the answer

Answers

Pi times radius squared times (height÷3)

if radius is 6 then 490.09

if radius is 13 then 1061.86

IM NOT SURE HOW TO SOLVE THIS CAN SOMEBODY HELP ME

Answers

Answer:

The y-intercept is the point (0, 128).

The x-intercepts are the points (-4, 0) and (-8, 0).

As x → ∞, y → ∞.

As x → -∞, y → -∞.

Step-by-step explanation:

To find the y-intercept, substitute 0 for x and solve for y.

P(x) = (x + 4)²(x + 8) P(0) = (0 + 4)²(0 + 8)P(0) = (4)²(8)P(0) = 16 * 8 P(0) = 128

The y-intercept is (0, 128).

To find the x-intercept, substitute 0 for y and solve for x.

0 = (x + 4)²(x + 8)

Set the first term, (x + 4)², equal to 0.

0 = (x + 4)²0 = x + 4 -4 = xx = -4

Set the second term, (x + 8), equal to 0.

0 = x + 8 -8 = xx = -8

The x-intercepts are the point (-4, 0) and (-8, 0).

Look at the degree and leading coefficient of the polynomial to determine the end behavior, and therefore you can determine how y behaves as x gets closer to infinity.

Since the degree of the polynomial is odd (3) and the leading coefficient is positive, the graph falls to the left and rises to the right.

So, as x → ∞, y → ∞ and as x → -∞, y → -∞.

If you want to verify this, plug the equation into your calculator and look at the graph. How does it behave as you look at negative x-values? How about for positive x-values?

Determine the number of solutions of each system of equations.

Answers

Answer:

no solutions

Step-by-step explanation:

x+y = 5

-2x-2y = 10

Multiply the first equation by 2

2x+2y =10

Add this to the second equation

2x+2y =10

-2x-2y =10

0 =20

This is not true so there are no solutions

Find a degree 3 polynomial with real coefficients having zeros 3 and 1 − 4i and a lead coefficient of 1. Write P in expanded form.

Answers

[tex]\text{Let,}\\\\~~~~~~~x=1-4i,\\\\\implies x-1 = -4i\\ \\\implies (x-1)^2 =(-4i)^2\\\\\implies x^2 -2x +1 = -16\\\\\implies x^2 -2x +1 +16 = 0\\\\\implies x^2 -2x +17=0\\\\\text{So,}~ x^2 -2x +17 ~\text{is a factor of the 3 degree polynomial.}\\ \\\text{The polynomial is,}\\\\P(x) = (x-3)(x^2 -2x +17)\\\\~~~~~~~=x^3-2x^2+17x -3x^2 +6x -51\\\\~~~~~~~=x^3 -5x^2 +23x -51[/tex]

NEED HELP WITH THIS MATH PROBLEM QUICK!!!

Answers

Answer:

[tex]\implies m\angle A =42\degree[/tex]

Step-by-step explanation:

Quadrilateral ABCD is inscribed in circle with center O.

-> Quadrilateral ABCD is cyclic.

Opposite angles of a cyclic quadrilateral are supplementay.

[tex]\implies m\angle B + m\angle D = 180\degree[/tex]

[tex]\implies (2x)\degree + (3x-5)\degree = 180\degree[/tex]

[tex]\implies (5x-5)\degree = 180\degree[/tex]

[tex]\implies 5x-5= 180[/tex]

[tex]\implies 5x= 185[/tex]

[tex]\implies x= \frac{185}{5}[/tex]

[tex]\implies x= 37[/tex]

[tex]\implies m\angle A =(x+5)\degree[/tex]

[tex]\implies m\angle A =(37+5)\degree[/tex]

[tex]\implies \huge{\orange{m\angle A =\boxed{42}\degree}}[/tex]

What is the solution to the following equation?

x^2 + 5x + 7 = 0

A. x = -5±√-3 /2

B. x = -5±√53 /2

C. x = -3±√-7 /2

D. x = 3±√25 /2

Answers

Answer:

A

Step-by-step explanation:

using the quadratic formula

in the picture above

6) Out of 15 students only 10 passed the geography scam. Write the fraction of students
Who failed in the geography cam.

Answers

There’s 15 students 10 passed 5 failed so the answer is 5/15

The weight of a blue whale is about 250,000 pounds. Write this number in scientific notation

Answers

Answer:

250÷50=3 because I have a great day and I will be in the 3 1 4 a few days ago a friend of ours was the only thing

Step-by-step explanation:

yes maybe no more options visit in the future please reply with your family

what is 3/4 in a percent

Answers

Answer:

75%

Step-by-step explanation:

Convert the fraction into a decimal number. Multiply the obtained decimal number by 100, to get a percent value.

Answer:

3/4 in a percent is 75%

Step-by-step explanation:

To change a fraction to a decimal you divide the numerator by the denominator. In this case that would be 3 divided by 4 which is 0.75, to change the decimal to a percent you move the decimal two places to the right.

find the volume of 20m, 5m, 18m

Answers

Answer:

600 m³

Step-by-step explanation:

The shape we have is a rectangular pyramid:

Formula: (volume of a rectangular pyramid)

Volume = (1/3) × Base Area × height

___________________________

In our case :

Base area = L × W = 20 × 18 = 360 m²

height = 5 m

⇒ Volume = (1/3) × Base Area × height

    [tex]\Longrightarrow \text{volume} \ =\ \frac{1}{3} \times 360\times 5[/tex]

[tex]\Longrightarrow \ \text{volume} \ =\ 600\ m^{3}[/tex]

find the value of n such that x^2-19x+n is a perfect square trinomial.

Answers

Answer:

1st option

Step-by-step explanation:

x² - 19x + n

using the method of completing the square

add ( half the coefficient of the x- term )² to x² - 19x

x² + 2(- [tex]\frac{19}{2}[/tex] )x + (- [tex]\frac{19}{2}[/tex] )²

with n = (- [tex]\frac{19}{2}[/tex] )² = [tex]\frac{361}{4}[/tex] , then

(x - [tex]\frac{19}{2}[/tex] )² ← a perfect square trinomial

Help please fast ong im begging

Answers

(x+5)(x+3) so the first one

Answer:

(x + 3)(x + 5)

Step-by-step explanation:

Find two numbers that multiply to 15 and add to 8.

The numbers are 3 and 5.

x² + 8x + 15 = (x + 3)(x + 5)

PLEASE HELP 20 POINTS AND BRAINLIEST

Answers

Answer:

5/6, 0.83 or 83%

Step-by-step explanation:

Answer:

Probabilities

Decimal: [tex]0.91[/tex]

Fraction: [tex]\frac{91}{100}[/tex]

Percentage: [tex]91[/tex]%

Step-by-step explanation:

Writing out information

2 comedy CDs

3 science-fiction CDs

7 adventure CDs

10 random CDs

22 total CDs

The chosen CD is not a comedy.

Solving probability for each

Decimals rounded to nearest 100th

Comedy:

[tex]2:22\\0.09\\\frac{2}{22}[/tex]

Science-fiction:

[tex]3:22\\0.14\\\frac{3}{22}[/tex]

Adventure:

[tex]7:22\\0.32\\\frac{7}{22}[/tex]

Random:

[tex]10:22\\0.45\\\frac{10}{22}[/tex]

Finding the total of the non-comedy

[tex]0.14+0.32+0.45=0.91[/tex]

[tex]0.91=91[/tex]%

Conclusion

Probabilities

Decimal: [tex]0.91[/tex]

Fraction: [tex]\frac{91}{100}[/tex]

Percentage: [tex]91[/tex]%

Frank got a gift for his sister and put it in a shoebox.
+
Note: Figure is not drawn to scale.
Now, he wants to wrap it with wrapping paper. If the length of the shoebox measures 10 in, the width measures 5 in, and the height
measures 4 in, how much wrapping paper does he need to cover the shoebox?
OA 330 sq in
ОВ.
110 sq in
OC. 440 sq in
OD. 220 sq in

Answers

Answer:

200

Step-by-step explanation:

Length times width to get the base 10 x 5 = 50 With the base multiply it by the height to get 50 x 4 = 200

what is the difference between 3/4 and 2 1/4

Answers

Answer:

3/4 simplified is 3/4 but when 2 1/4 is simplified it is 9/4. Off the bat we know there is a big difference. Also, 2 and 1/4 is irrational and 3/4 and rational.

I need help ya'll please:)​

Answers

Answer:

Step-by-step explanation:

Please take a clearer picture couldnt read it well

need a good explanation, i dont get how to get the answer.

Fifteen years ago, Russell bought his house for $141,000. The house’s property value has decreased by 1.6% per year ever since then. If Russell sells his house, how much is it worth, to the nearest hundred dollars?
a.
$110,700
b.
$107,200
c.
$67,100
d.
$37,900

Answers

Answer:

141000 * (1 - 0.016)^15 = 110699.48 = A 110700

Step-by-step explanation:

1st year depreciation = 141000 -  (141000 * 0.016) = 138744

2nd year depreciation = 138744 - (138744 * 0.016) = 136524.096

3rd year depreciation = 136524.096 - (136524.096 * 0.016) = 134339.710464

etc. unitl you reach the 15th year

Basically we calculate 1.6% of the current value of the house and subtract that from the current value for each year for 15 years.

The equation used in the answer is a faster way to approach your answer instead of calculating for each year.

You'd multiply your initial value by the difference in percentage (note well that since it is decreasing in value we subtract the decimal equivalent to 1.6% which is 0.016, from 1 where one represents 100% and then raise the difference gained to the power of the amount of years which would be 15.

7 raise to -2 x 3 raise to 2 = 3by7 raise to 4x

Answers

7^-2 x 3^2 = 3 x 7^4x should be your equation.

Exact form: x = 3/117649Evaluate the exponentEvaluate the exponentMultiply the numbersEvaluate the exponentMultiply the numbersDivide both sides by the same factorSimplifyDecimal form: x = 2.54995792 10^5

I don't know if this is what you were looking for but I hope it helps.

Rewrite the fraction with the indicated denominator.

Answers

Answer:

I believe the answerwould be 18/21.

Please let me know if I'm correct!

Hope this helps you!

Hey there!


6/7 = ?/21

= 6/7 = x/21

CROSS MULTIPLY the FRACTION

6(21) = x(7)

6(21) = 7(x)

126 = 7x

7x = 126

DIVIDE 7 to BOTH SIDES

7x/7 = 126/7

CANCEL out: 7/7 because it give you 1

KEEP: 126/7 because it help solve for the x-value

NEW EQUATION: x = 126/7

SIMPLIFY IT!

x = 18


Therefore, your answer is: 18


BECAUSE 18/21 is equivalent to 6/7 and they both give you approximately 86% (or simply 0.86) if you’re rounding your percentage/decimal form


Good luck on your assignment & enjoy your day!


~Amphitrite1040:)

An airplane company flies 45 airplanes daily. The CEO collects the following passenger counts for a random sample of airplanes
from the fleet, as shown below.
119, 138, 157, 85, 157, 119, 138, 119, 157, 85

Assuming that the sample is representative of the entire fleet of airplanes, what would be the mean daily passenger count per
plane?

A. 124.75
В. 135.9
C. 127.4
D. 128.5


Answers

Your answer would be C

Step by step:
Start with 10 flights it gives you
Assuming this data is rhe same for each 10 flights you should divide 45 by 10 to get an average of 4.5. (the amount of sets of 10 planes) You then use this number as a constant multiplying it by the number of planes with the same amount of passengers.(in this case 3 flights with 119 passengers) So that would look like this: 4.5 x 3=13.5 (the number of total flights with 119 passengers) Continue to do this with each number set, add them all up, and divide them by the total number of planes, 45.

Which is an example of why higher education typically has a positive return on investment (ROI)?



The jobs you can get with higher education will earn more money than jobs without a degree or certificate.

Higher paying jobs come with experience, not with earning a degree or certificate.

Higher education usually results in a lot of debt which can be difficult to afford.

The highest paying jobs come with a high school diploma which is an important reason to finish high school.

Answers

Answer:

Higher education loans generally have a positive ROI because you are building skills and work experience that can increase your future earnings. More education is correlated with higher lifetime earnings.

Step-by-step explanation:

The jobs you can get with higher education will earn more money than jobs without a degree or certificate.

What is return on investment?

The term return on investment refers to the profit that one makes from an investment. Higher education is a very profitable investment for an individual.

here,

Higher education loans generally have a positive ROI because you are building skills and work experience that can increase your future earnings. More education is correlated with higher lifetime earnings.

The jobs you can get with higher education will earn more money than jobs without a degree or certificate.

The example of why higher education typically has a positive return on investment (ROI) is the jobs you can get with higher education will earn more money than jobs without a degree or certificate.

Learn more about ROI:

brainly.com/question/12908738

#SPJ2

A swimming pool is shaped like a right rectangle prism. the pool is 36 ft long and 20 ft wide. What is the total amount of water in cubic ft,needed to fill tje pool to a depth 4 ft.

Answers

Answer:

2880 ft³

Step-by-step explanation:

T o find the total amount of water that is needed to fill the pool, you have to find the volume of the pool.

Formula to find the volume of a rectangle prism is :

Volume = length × width × height

Let us solve now.

Volume = length × width × height

Volume = 36 ft × 20 ft × 4 ft

Volume = 2880 ft³

Therefore, 2880 ft³ of water is needed to fill the pool.

Utilize graphing to find the solution to
the following system of equations.
y = x-7 AND y = -x + 1
([?], [])
Enter

Answers

Answer:

(4, -3)

Step-by-step explanation:

To solve this with graphing all you need to do is enter both equations in a graphing calculator (you can use desmos online) and then find the point where both lines intersect.

Given that log Cart 2) + log, b=0 and ing (a-2) 16g, b=actl Show = "feetfiad Metult possible velers of a cand is where a, b er (a that 92 442480 an 2 it soln​

Answers

Answer:

12+12 log2) b=34) 54+90)=10000+32+54=9000

Step-by-step explanation:

I know the answer I am a math tutor at Elomantry High Scholl Teaching for 6 years now

30 POINTS FOR THE BRAINLIEST!!! Find the indicated measures, given that
EA is a diameter.

a) mDEF=
b) mEFG=
c) mAC=

d) Explain how you found each angle measure below. Be sure to show all of your work.

Answers

mDEF=152
mEFG=70
mAC=28

180-(110+31)=39
152-39=113
180-152=28

the last answer is 35 I just could not fit it in the pic​

Answers

Angle beside C is 145 so C is 180 -145=35
So the sum of the triangles angles is 180
Therefore 180-35=145
So the sum of angle A and B is 145

How is 1-n/2n-2 written in lowest terms

Answers

Answer:

- 1/2

Step-by-step explanation:

I assume this is  (1-n) / (2n-2)  

     (1-n) / (-2)(1-n)

    -1/2

A certain laptop is really popular and sells for $209. Since sales are so good, the store raises the price by 12%. What is the cost of the laptop after the markup?

Answers

$255.98 is the correct answer
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