Single-tickets sell for $20 each and a couple-tickets for $35 each. A total of 160 tickets are
sold, and the total value of the ticket is $4100. How many of each kind of ticket were sold?

Answers

Answer 1

Answer:

100 of the 20$ tickets, and 60 of the 35$ tickets

Step-by-step explanation:

20*x + 35*y = 4100

x + y = 160

That means x = 160 - y, put this into the first equation

20(160 - y) + 35y = 4100

3200 - 20y + 35y = 4100

15y + 3200 = 4100

15y = 900

y = 60

Put y = 60 into the second equation and

x + 60 = 160

x = 100

y = 60, x = 100

Double check that this works for both equations to make sure its right

20 * 100 + 35 * 60= 4100

2000 + 2100 = 4100 /Correct

100 + 60 = 160 /Correct


Related Questions

6
Simplify the following expression.
(9x2 - 3x + 7) + (-3x2 + 2)

A. 6x2 + 9
B. 12x2 - 3x + 5
C. 6x2 - 3x + 9
D. 6x2 + 3x + 9

Answers

The above expression is not in its simplest form, and we need to simplify it, that is what asked in the question.

Given equation,

[tex](9 {x}^{2} - 3x + 7) + ( - 3 {x}^{2} + 2)[/tex]

First of all, let's open the parentheses to combine the like terms for simplifying.

[tex]9 {x}^{2} - 3x + 7 - 3 {x}^{2} + 2[/tex]

Arranging the like terms, x² with x², x with x and constant terms near to each other.

[tex]9 {x}^{2} - 3 {x}^{2} - 3x + 7 + 2[/tex]

Simplying further,

[tex](9 - 3) {x}^{2} - 3x + 9[/tex]

[tex]6 {x}^{2} - 3x + 9[/tex]

So, the correct option is C

━━━━━━━━━━━━━━━━━━━━

Please Help! I need the answer.

Answers

Answer:

56

Step-by-step explanation:

GETT IT RIGHT AND GET BRAINLIEST

Answers

Answer:

18

Step-by-step explanation:

58 - |-40| =

58 -40=

18

Answer:

18

Step-by-step explanation:

The absolute value function always gives a positive result, that is

| a | = | - a | = a

Given

58 - | n | , substitute n = - 40

58 - | - 40 |

= 58 - 40

= 18

3. What is the volume of the triangular
prism?
3.2 cm
6 cm
5.4 cm
A 8.64 cm3
® 17.28 cm3
51.84 cm3
0 103.68 cm3

Answers

Answer:

Step-by-step explanation:

3.2

Answer:

3.2

Step-by-step explanation:

jdjdhdidndidnnidndindinidnndindnd

does a function have to be linear

Answers

Answer:

Hi there

Step-by-step explanation:

A linear function is a type of function and so must follow certain rules to be classified as a “function”. For example, functions can only have one output for each input. On the other hand, equations are just statements that make two things equal, like x = y or 52x = 100.

~Your Welcome! :)

(−2/3)x(1/6) please answer

Answers

Answer:

The answer would be -1/9. The decimal form would be -0. 111111. Hope this helped, and if it did, please like the answer and rate it. ty! :)

Answer:

-  1    

    9

Step-by-step explanation:

-     2      

  3  *   6  

- 2    

  18

= -  1    

      9

Graph t> -2 on a number line

Answers

Answer:

Step-by-step explanation:

Rewrite the equation by completing the square.
f(x) = x^2 - 2x + 17
f(x) = (x + |?|)^2 + |?|

Answers

Answer:

f(X)= (x-1)²+16

Hope this helps

Solve
(1) +3 + 17 = (6) -8 + (-8) =

(2) -81 + (-1) = (7) 23 + (-46) =

(3) 4 + -19 + 25 = (8) -6 + -16 + -3 =

(4) 152 + (-102) = (9) +77 + (-49) =

(5) -400 + (+400) (10) -20 + 90 + 30

Each one please!?

Answers

Answer:

1) 21

2) -10

3)10

4)50

5) 3,700

From iOE your friend! :D :P *Your awesome in every way!*

Hanson has 38 pieces of candy. He gives away c of the pieces. Write an expression that
shows the number of pieces of candy Hanson has left.

Answers

Answer:

38-c

Step-by-step explanation:

We know that the answer is 38-c because any piece of candy that Hanson gives away will be subtracted from the amount that he started out with.

What type of number is pi?

Answers

Answer:

Pi is an irrational number

Step-by-step explanation:

Pi is an irrational number because it cannot be written down as a simple fraction.

Answer:

We know that pi is a number that never ends. Its decimals can be written out forever endlessly. Therefore, it must be an irrational number.

Step-by-step explanation:

First, let us go over the different types of numbers:

Natural Numbers - 1, 2, 3, ...

Whole Numbers - All natural numbers including 0

Integers - All whole numbers, both positive and negative

Rational Numbers - All numbers, both positive and negative that can be represented as a fraction. In other words, they have a terminating decimal point

Irrational Numbers - Numbers that cannot be written as a fraction. Numbers who have an infinite number of decimal points

Real Numbers - Includes everything else listed.


The sum of two numbers is 55. The smaller number is 15 less than the larger number. What are the numbers?


Answers

Answer:

a=35

b=20

Step-by-step explanation:

a+b =55

a=b+15

b+15 +b =55

2b=55 - 15

2b=40

b=40 :2

b=20 (the smallest number)

a=20 +15 =35 (the largest number)

Step-by-step explanation:

55=x+15

-15     -15

40=x

Hope it helps!

2(3x + 6) = 3( x - 9)​

Answers

Answer:

x= - 13

Step-by-step explanation:

2(3x+6) = 3(x-9)

6x+12 = 3x -27

-3x        -3x

3x+12=-27

    -12   -12

3x= -39

/3     /3

x= - 13

Answer:

x = -13

Step-by-step explanation:

2(3x + 6) = 3( x - 9)​

Distribute

6x +12 = 3x - 27

Subtract 3x from each side

6x-3x+12 = 3x-27-3x

3x+12 = -27

Subtract 12 from each side

3x+12-12 = -27-12

3x = -39

Divide by 3

3x/3 = -39/3

x = -13

Identify the conjugate of -2-31.

Answers

Answer:

-2+31

Step-by-step explanation:

conjugate in simple terms is that it is taken in opposite sign.

for example the conjugate of [tex]5+\sqrt{2}\\[/tex]  is [tex]5-\sqrt{2}[/tex]

If u understood the concept...pls mark as Brainliest!

what is a counterexample for if a shape has 4 sides its a rectangle

Answers

Using numbers it helps label the rectangle

parallelogram

Step-by-step explanation:

it has 4 sides but is not a rectangle

Your friend, Jamie, rolled a number cube and got the number 5. On his next turn, he says he won’t be able to roll another 5 because he is only expected to roll a 5 once every six rolls. Is your friend correct? Explain your answer.

Answers

Answer:

No

Step-by-step explanation:

Even though he has a 1/6 chance of rolling it he still has a 16.67% percent chance

Answer:

here's the sample answer!

Jamie is not correct. No matter how many times the cube is rolled, the probability of rolling a 5 will be 1/6.

Step-by-step explanation:

What is the answer please show work 7x + 4 = 5x + 10

Answers

Answer:

x=3

Step-by-step explanation:

subtract 5x from 7x

subtract 4 from 10

divide 2x and 6 by 2

Answer:

x=3

Step-by-step explanation:

7x +4 =5x +10

7x - 5x =10 - 4

2x =6

x=6 :2

x=3

7 ×3 +4 =5 ×3 +10

21 +4 =15 +10

25 =25

Determine what kind of solution you would expect from the system of equations 3x - 8y = 10 and 16x - 32y = 75 without graphing the system. Explain how you determined your answer.

Answers

Step-by-step explanation:

If two lines have the same slope and the same y-intercept, there are infinite solutions.

If two lines have the same slope and different y-intercepts, there are zero solutions.

Otherwise, if the two lines have different slopes, then there is one solution.

The slope of the first line is 3/8.  The slope of the second line is 16/32 = 1/2.  The slopes are different, so there is only one solution.

The solution of the given system of equations is (x, y) = (8.75, 2).

What is a Linear equation of two variables?These are the system of equations with two variables having a no solution, unique solution or infinitely many solutions.The highest order of the equation for this systems is one.

Given: System of equations

3x - 8y = 10                           …(1)

16x - 32y = 75                       …(2)

Consider equation (2).

⇒ 16x - 32y = 75

Dividing both sides by 16, we get:

⇒ x - 2y = 75/16

x = 2y + 75/16                  …(3)

Now, substitute the value of x = 2y + 75/16 in equation (1), we get:

⇒ 3(2y + 75/16) - 8y = 10

⇒ 6y + 225/16 - 8y = 10

⇒ 2y = 225/16 - 10

⇒ 2y = (225 - 160)/16

⇒ 2y = 65/16

⇒ y = 65/32

y ≈ 2

Now, put the value of y = 65/32 in equation (3), we get:

⇒ x = 2(65/32) + 75/16

⇒ x = (65/16) + (75/16)

⇒ x = 140/16

x = 8.75

Therefore, the solution for the given simultaneous equation is;

(x, y) = (8.75, 2)

Learn more about the Linear equations of two variables here: https://brainly.com/question/13052704?referrer=searchResults

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Subtract 2/15 from 7/15

Answers

please give brainlist

in the way you wrote it the answer would be

1

_ ----

3

but but if you meant to do it backwards 7/15 and 2/15 the answer will 1

-----

3

hope this helped

Please help with theses ? I’m kinda stuck on Algebra ll B. Anybody good on Algebra ?

Answers

Answer:

answer is b juicy how to do it

What is the slope the line that passes through the points:
(-6, 14), (2, -18)
O-
4
О O
1
4
4.
-4

Answers

Given Points:

(-6, 14) and (2, -18)

To Find:

The slope of the line that passes through the point.

Slope Formula:

y2 - y1 / x2 - x1

Solution:

-18 - 14 / 2 + 6

= -32 / 8

= -4

Answer:

Option D. -4

A chef turned on a faucet and filled a 2-gallon pot in 5 6 of a minute. What is the rate of water flow? Simplify your answer and write it as a proper fraction, mixed number, or whole number.

Answers

Answer: Rate of water flow is 12/5 gallon per minute

Step-by-step explanation:

Given the following :

Volume of faucet pot = 2 gallon

Time taken to fill the faucet pot = 5/6 of a minute = (5/6) minute.

Rate of water flow:

Volume of faucet pot / time taken

= 2 gallon ÷ (5/6) minute

= 2 gallon × (6/5) minutes

= (12 /5) gallon / minute

= 2 2/5 gallon / minute

Hence rate of water flow is 12/5 gallon per minute.

Answer:

2 2/5

Step-by-step explanation:

2 2/5

Need your help please. Please help me.

Answers

Answer:

0.08

Step-by-step explanation:

(4/5)/10 =

= 4/5 : 10/1

= 4/5 × 1/10

= ²⁾4/50

= 8/100

= 0.08

In a tutorial group of 30 students,17 students studied nursing,15 studied economics while 11 studied neither nursing nor economics.How many students studied nursing?

Answers

17............................

The number of students studying nursing is 17.

What is an expression?

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication and division.

It is given that In a tutorial group of 30 students,17 students studied nursing,15 studied economics while 11 studied neither nursing nor economics.

It is clearly mentioned in the question that the number of students studying nursing is 17.

Therefore, the number of students studying nursing is 17.

To know more about Expression follow

https://brainly.com/question/723406

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I need to know how to get the answer with an explanation WHOEVER HELPS ME GETS A BRAINIEST SO PLEASE HELP

Answers

this is the answer either way works hope this helps !

What is the value of the expression? 2/3+1/6

Answers

2/3 would be converted to 4/6 by multiplying the numerator and denominator by 2.

then you can add 4/6 + 1/6 to get 5/6

3(8⋅7−45)+5(6⋅4−1) Just checking to see if it is right

Answers

Answer: 148

Step-by-step explanation:

Answer:

3(8⋅7−45)+5(6⋅4−1) = 148

What are each step in the process for solving an equation

Answers

Answer:

1. Simplify each side of the equation by removing parentheses and combining like terms.

2. Use addition or subtraction to isolate the variable term on one side of the equation.

3. Use multiplication or division to solve for the variable.

explain how 5x-3y=2 and 5x-3y=8 are parallel without doing any calculations

Answers

Answer:

They're parallel because the first part of the equations have the same numbers/variables (can see down below in bold). This tells us whether or not it's parallel. There's no need for any calculations due to this.

5x - 2y = 2

and

5x - 2y = 8

The answer of the equations doesn't affect it, only is they're the same number. Then it becomes overlap.

For Example:

5x - 2y = 9

and

5x - 2y = 9

they're the same, meaning overlap.

1/100000 as a power of 10

Answers

Answer:

10⁻⁵

Step-by-step explanation:

1 / 100000

1 / 10⁵

10⁻⁵

After solving the given fraction, the value of power of 10 will be equal to 10⁻⁵.

What are arithmetic Operations?

The four fundamental operations of arithmetic are addition, subtraction, multiplication, and division of two or even more items.

Included in them is the study of integers, especially the order of operations, which is important for all other areas of mathematics, notably algebra, data management, and geometry.

As per the information in the question,

The given fraction is,

1/10000

The value, 100000 is in the  denumerator so, the power should be in negative.

So, it can be written as,

1 × 10⁻⁵.

To know more about arithmetic operations:

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