Write a system of two linear equations in two variables that represents this real life problem and Solve the system of linear equation.

Cody's school is selling tickets to a spring musical. On the first day of the ticket sales the school sold 2 senior citizen tickets and 8 child tickets for a total of $78. The school took in $84 on the second day by selling 4 senior citizen's ticket and 8 child tickets.

Find the price of a senior citizen ticket and the price of a child ticket. Show your work for full credit.

Answers

Answer 1

The cost of a senior citizen ticket is $3 and the cost of a child ticket

is $9.

What are the types of solutions of a system of linear equations?

If a system of equations only contains two linear equations with two variables, the system's equation can be graphed, the graph will have two straight lines, and the intersection point(s) of those lines will be the system's solution.

There are only three matching forms of solution for a given system of equations because there are only three different ways that two straight lines in the plane can graph.

From the given information the two linear equations in 'x' and 'y' can be formed as,

2x + 8y = 78 and 4x + 8x = 84.

Now, Subtracting equation 1 from equation 2 we'll have,

2x = 6.

x = 3 and hence y = 9.

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Related Questions

5/9 (y+3)=40 I need help to solve this it’s in algebra

Answers

Answer:

= 69

Step-by-step explanation:

Combine multiplied terms into a single fraction, Distribute, then Multiply all terms by the same value to eliminate fraction denominators.

1) 5/9 ( y + 3 ) = 40 or 5(y + 3) / 9 = 40

2) 5y + 15 / 9 = 40

3) 9 ( 5y + 15 / 9) = 9 40

Help Or Else I wiLl TrOw YoU INto A ToLiet

Answers

Answer:

n o

Step-by-step explanation:

I refuse to help. punish me and put me in the toilet

jk lol

Answer:

i throw u in a toilet

Step-by-step explanation:

now u in a toilet

Water guns are on sale this week. If
this water gun is $8.50, how much
will it cost after the 30% discount
and an 8% sales tax.

Answers

Answer:

$6.43

Step-by-step explanation:

8.50 times 0.30=2.55

8.50-2.55=5.95

5.95 times 0.08=0.476

0.476+5.95=6.426 rounded would be $6.43

What number multiplies to -50 and adds to 5?

Answers

Answer:

10 and -5

Step-by-step explanation:

10(-5) = -50

10 + (-5) = 5

Good luck!

Answer:

10 and -5

Step-by-step explanation:

Consider the expression.

2x (x + 3y) +5 (2x - 2)

How many terms does the expression have when simplified completely?

Answers

When given expression 2x (x + 3y) +5 (2x - 2) simplified completely then it would have 4 terms.

Consider given expression.

2x (x + 3y) +5 (2x - 2)

We simplify above expression.

2x (x + 3y) +5 (2x - 2)

= [(2x × x) + (2x × 3y)] + [(5 × 2x) - (5 × 2)]       ......(distributive property)

= [2x² + (2 × 3)xy] + [(5×2)x - 10]               ............(commutative property)

= (2x² + 6xy) + (10x - 10)

= 2x² + 6xy + 10x - 10

= 2x² + 10x + 6xy - 10     ...........(by commutative property of addition)

when given expression simplified completely then it would be,

2x (x + 3y) +5 (2x - 2) = 2x² + 10x + 6xy - 10    

The number of terms in an expression 2x² + 10x + 6xy - 10 are 4

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can some help me with this question?

Answers

Answer:

i think it's reflection followed by translation

Step-by-step explanation:

Answer:

step 1) glide translation of EFG by one unit to the left and 2 units down

step 2) reflection over the x-axis

Step-by-step explanation:

What is the general formula for Logarithms?

Answers

The general formula for logarithms is [tex]log_b(x) = y[/tex].

What is a logarithmic function?

A logarithmic function is a type of mathematical function that expresses the power to which a given number (the base) must be raised in order to produce a certain value. It is typically written in the form: [tex]f(x) = log_b(x),[/tex] where b is the base of the logarithm.

The general formula for logarithms is:

[tex]log_b(x) = y[/tex]

This means that b raised to the power of y is equal to x.

Where b is the base of the logarithm, x is the number that we are taking the logarithm of, and y is the result or the logarithm of x to the base b.

Hence, the general formula for logarithms is [tex]log_b(x) = y[/tex].

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The general formula for logarithms is [tex]log_b(x)=y[/tex].

What is a logarithmic function?

A logarithmic function is a type of mathematical function that expresses the power to which a given number (the base) must be raised in order to produce a certain value. It is typically written in the form: [tex]f(x)=log_b(x)[/tex] where b is the base of the logarithm.

The general formula for logarithms is:

[tex]log_b(x)=y[/tex]

This means that b raised to the power of y is equal to x.

Where b is the base of the logarithm, x is the number that we are taking the logarithm of, and y is the result or the logarithm of x to the base b.

Hence, the general formula for logarithms is [tex]log_b(x)=y[/tex].

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4 12. DISCUSS MATHEMATICAL THINKING Recall that a perfect square is a number with integers as its
square roots. Is the product of two perfect squares always a perfect square? Is the quotient of two
perfect squares always a perfect square? Explain your reasoning.
Please help will give Brain liest

Answers

Yes the product of two perfect squares is always a perfect square, But the quotient of two perfect squares is not always a perfect square.

What is perfect square?

A perfect square is a number that can be expressed as the product of an integer multiplied by itself.

Examples of perfect squares include 4 (2*2), 9 (3*3), and 25 (5*5).

What is quotient of a number?

The quotient is the result obtained after performing division of one number by another. It is the number of times that the divisor can be subtracted from the dividend until the remainder is smaller than the divisor.

The product of two perfect squares is always a perfect square because the root of the products is equal to the product of roots as shown below,

let us take the two perfect squares 4 and 9, so the square root of 4*9 is,

[tex]\sqrt{4*9} =\sqrt{4} *\sqrt{9} \ =2*3=6[/tex]

But , the quotient of two perfect squares is a perfect square,

When we divide two perfect squares we are not always going to get a quotient that can be represented as the square of an integer. For example, (36/16) = 9/4 which is not a perfect square.

However, if the numerator and denominator in the quotient are the same perfect square then the quotient will be 1 which is a perfect square.

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The table shows the balances of two bank accounts for 3 months. In what month will the balance of account A be equal to the balance of account B?

Answers

 As per Given data,

The month in which the balance of two bank accounts A is become equal to the balance of account B is 30thmonths,

How to find unknown values?

Unknown variables are used to find the unknown values of the problem using the algebraic expressions.

Month       Account A        Account B

 0                    $ 100                 $ 250  

  1                    $ 125                 $ 270

  2                   $ 150                 $ 290

Clearly

The amount in account A is growing with $25 each month. Thus, the amount in this account in nth month is,

100+25[tex]n[/tex]

The amount in account B is just growing with $20. Thus, the amount in this account in nth month is,

250+20[tex]n[/tex]

x month

balances of two

account becomes equal,

then

100 + 25x =250 + 20x

25x - 20x = 250 - 100

5x = 150

x =30

Therefore, in 30th month balance of account A equal to balance of account B

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Q. The table shows the balances of two bank accounts for 3 months. In 30th month will the balance of account A be equal to the balance of account B?

Month       Account A      Account B

   0               $100                $250

    1               $125                 $270

    2              $150                 $290

Box A is 12 inches by 18 inches by 24 inches. Box B is 12 inches by 12 inches by 30 inches. How much greater is the volume of Box A? A. 5184 in³ B. 4320 in³ C. 864 in³ D. 576 in³

Answers

Answer: I think it’s D


help pls fast it is urgent​

Answers

Answer:

The volume formula is pi r^2h because it is similar to the formula to the area of a circle with an extra addition of the height variable, since a cylinder is just a circle with depth. The surface area formula is 2pirh +2pi r^2 because it measures the area of both circles as well as the depth. This formula is similar to the circumference formula of a circle.

Step-by-step explanation:

Mark me brainliest pls

Which of the following is a perfect square trinomial?

(A) 5x2 - 5x + 1

(B) 5x2 - 10x + 5

(C) 10x2 - 20x + 5

(D) 25x2 - 20x + 3

(E) 25x2 + 20x + 4

Answers

Answer:

B is the perfect square

Step-by-step explanation:

A jacket normally sells for $27.50.it is on sale for 20%what is the new price

Answers

Answer:

$22

Step-by-step explanation:

27.50 20 present off so you get 5.5 substract and u get 22

Write 63/90 and 30/42 as fraction In simplest form then determine whether the ratio form a proportion

Answers

Answer:

7/10 and 5/7 the ratio does not form a proportion

Help me ASAP! Please

Answers

Answer:

i think the answer is b

Step-by-step explanation:

Answer:

b) is correct dear!

Step-by-step explanation:

see it carefully .... you will come to know ! *b* one is exactly right.....

3y+2=2y-5x into y=mx+b form

Answers

3y + 2 = 2y - 5x

3y - 2y = -5x -2

y = -5x - 2

Write an exponential function in the form y=ab^xy=ab x that goes through points (0, 2)(0,2) and (3, 686)(3,686).

Answers

y = a b^x

find the values for a and b :

1- you have the point (0,2)

Substitute 0 for x and 2 for y

2 = a * b ^0
2= a * 1
a= 2

2- you have the point (3,686)

Substitute 3 for x and 686 for y and 2 for a

y = 2 b^x

686 = 2 * b^3

343 = b^3

b = 7

y = 2 * 7^x

Suppose that $a$ is a multiple of $3$ and $b$ is a multiple of $6$. Which of the following statements must be true? A. $b$ is a multiple of $3$. B. $a-b$ is a multiple of $3$. C. $a-b$ is a multiple of $6$. D. $a-b$ is a multiple of $2$. List the choices in your answer separated by commas. For example, if you think they are all true, then answer "A,B,C,D".

Answers

The statements that are true, based on the multiples of 3 and 6 are:

A. $b$ is a multiple of $3$. B. $a-b$ is a multiple of $3$.

How do multiples relate ?

When a number is a multiple of a smaller number, then all the multiples of that larger number, will be the multiples of the smaller number.

This means that all the multiples of 6 ( including b ) will be multiples of 3 as well because 6 is a multiple of 3.

It is also interesting to note that the difference between the multiples of 3 are also multiples of 3. This means that a - b will result in a number that is a multiple of 3.

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What is the length of the missing leg (in millimeters)

Answers

Answer:6

Step-by-step explanation:

can someone help me
Identify the slope and y-intercept of the equation below.

-9y = 8x + 27

Answers

Answer:

the y-intercept is 27 sorry thats all i know but i belive the slope would be 9/8

Step-by-step explanation:

Answer:

 

y = m x + b

y= -8/9x -3

Step-by-step explanation:

please answer<3 its simple but ion know how-

Answers

Answer:

y= 4/3x + 2

Step-by-step explanation:

The slope is rise/run. It would be 8/6. Once you simplify, it's 4/3. the y intercept is at 2. Put it together, and there's your answer.

hope this helps!!

HELP ! Will give BRAINLEIST

Answers

[tex]\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}[/tex]

Actually Welcome to the concept of Trigonometric Ratios.

10.) Cos 40° = z/32 , Hence z = 24.51

11.) Sin 58° = 27/x , hence x = 31.83

12.) Tan 33° = w/19 , hence w = 12.33

13.) Cos 52° = k/8.7, Hence k = 5.35

yall im thinking A or B but can someone help?​

Answers

It’s B, you go down 3 times from p and went over to the left 4 times and 3+4 =7

If x = -6, which inequality is true?

Question 1 options:

-5 - 3x > 10


-3 - 5x < -14


1 - 2x > 13


2 - x < -3

Answers

Answer:

1 - 2x > 13

Step-by-step explanation:

this is the correct answer

Gaya buys 2 oranges and 1 cauliflower she pays £2.00

Esteben buys 4 oranges and 1 cauliflower he pays £2.90

Work out the price of one orange

Answers

Answer:

Step-by-step explanation:6

what is the rate of decay f(x)=(.8)^x

9th grade AP algebra

Answers

The provided function, f(x)=(.8)^x, has a 20% rate of decay.

What is the Rate of decay or growth?

A rise in the resultant quantity for a given quantity is referred to as exponential growth, and a decrease in the resultant quantity for a given quantity is referred to as exponential decay.

given, a function  f(x)=(.8)^x. To calculate the decay rate of this function.

The exponential decay formula aids in determining the exponential drop, which is a rapid reduction over time. To calculate population decay, half-life, radioactivity decay, and other phenomena, one uses the exponential decay formula. F(x) = a (1 - r)x is the general form.

Where

a = the initial amount

1-r is the decay factor

x = time span

from the given expression,

Decay factor = 0.8

That is also equal to 1 - r

1 - r = 0.8

r  =0.2

Thus, rate of decay = r * 100%

rate of decay = 0.2 * 100 = 20%

therefore, The rate of the  of the given function  f(x)=(.8)^x is 20%.

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A 2-column table has 4 rows. The first column is labeled x with entries 1, 2, 3, 4. The second column is labeled y with entries 4.5, 6.75, 10.125, 15.1875.
What is the multiplicative rate of change of the exponential function represented in the table?

1.5
2.25
3.0
4.5

Answers

I believe it’s 2.25

The multiplicative rate of change of the exponential function represented in the table is 1.5.

Option A is the correct answer.

What is a function?

A function has an input and an output.

A function can be one-to-one or onto one.

It simply indicated the relationships between the input and the output.

Example:

f(x) = 2x + 1

f(1) = 2 + 1 = 3

f(2) = 2 x 2 + 1 = 4 + 1 = 5

The outputs of the functions are 3 and 5

The inputs of the function are 1 and 2.

We have,

To find the multiplicative rate of change of the exponential function represented in the table, we need to look at the ratio of consecutive

y-values.

The first ratio is:

6.75 / 4.5 = 1.5

The second ratio is:

10.125 / 6.75 = 1.5

The third ratio is:

15.1875 / 10.125 = 1.5

Since all three ratios are the same, we can conclude that the function is exponential with a constant multiplicative rate of change equal to 1.5.

Therefore,

The multiplicative rate of change of the exponential function represented in the table is 1.5.

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Which simplified ratio correctly compares 5 meters to 100 centimeters?
A. 5:1
B. 20:1
C. 1:5
D. 1:20

Answers

The simplified ratio that compares 5 meters to 100 centimeters is 5: 1 .Option A

How to determine the ratio

Ratio is simply described as the non equal comparison of two numbers, variables, or events.

It shows how many times a number or variable contains another.

The comparison is also based on size.

From the information given, we have;

5 meter to 100 centimeters

It is important to note that;

100 centimeters = 1 meters

Also, 1 meter= 100 centimeters

5 meters = x centimeters

cross multiply

x = 100(5)

Multiply the values

x = 500 centimeters

Then,

5 meters = 1 meter

Hence, the ratio is 5:1

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Arjun is hiking from a mountain lodge to a nearby summit. The probability that he will take the longest trail is 59. The odds against Arjun taking the longest trail are _[blank]_.

What odds best complete the sentence?

Enter your answer as “m:n{}^{\prime\prime} where m and n are the smallest integers possible, like this: 3:2

Answers

The odds against Arjun taking the longest trail are 4 : 9 .

How to find the probability ?

The probability that when Arjun is hiking from the mountain lodge to the nearby summit, he takes the longest trail, is 5 / 9.

This means that the odds that Arjun will not take the longest trail, or rather, the odds against him taking the longest trail, will be the difference between 1 and the probability that he takes the longest trail:

= 1 - 5 / 9

= 4 / 9

When given as a ratio, this would be:

=  4 : 9

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A Triangle has two sides of length 16.4 and 10.2. What compound inequality describes the possible length for the 3rd side

Answers

Answer:

6.2 < x < 26.6

Step-by-step explanation:

The length of a side of a triangle is between the difference and the sum of the lengths of the other two sides.

16.4 - 10.2 = 6.2

16.4 + 10.2 = 26.6

Let x = length of third side.

6.2 < x < 26.6

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