Solve by Elimination Algebra 2 A park charges $10 for adults and $5 for kids. How many adult tickets and kid tickets were sold, if a total of 524 tickets were sold for a total of $3860 There were _ adults and _ kids tickets sold​

Answers

Answer 1

Answer:

There were 248 adult tickets and 248 kid tickets.

Step-by-step explanation:

a = number of adult tickets

k = number of kid tickets

a + k = 524                                 10a + 5k = 3860

Multiply the equation on the right all the way through by -5 so that we can eliminate the k's when we add the equations together.

-5(a+ K) = 524(-5)

-5a - 5k = -2620

Add the two equations together:

-5a - 5k = -2620

10a + 5K = 3860

5a           = 1240  Divide both sides by 5

a = 248  There are 248 adult tickets.  Plug in 248 for a in either of the original equations.

a + k = 524

248 + k = 524  Subtract 248 from 524 to find the number of kid tickets.

There are 276 kid tickets.

Check:

Plug in 276 for k and 248 for adult to both equations to see if they work

a + k = 524

248 + 276 = 524

524 = 524

10a + 5k = 3860

10(248) + 5(276) = 3860

2480 + 1380 = 3860

38060 = 3860


Related Questions

What is the slope of the line shown in the graph?

Answers

Using the formula m=rise/run or y2-y1/x2-x1

Grab two random coordinates (1,5) and (4,9)

Plug those 2 coordinates into the formula

9-5/4-1

4/3

4/3 is the slope

Answer:

slope = [tex]\frac{4}{3}[/tex]

Step-by-step explanation:

calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 3, 0) and (x₂, y₂ ) = (0, 4) ← 2 points on the line

m = [tex]\frac{4-0}{0-(-3)}[/tex] = [tex]\frac{4}{0+3}[/tex] = [tex]\frac{4}{3}[/tex]

When 18 is subtracted from six times a certain number, the result is − 42. What is the number?

Answers

Answer: the unknown number is -4.

Step-by-step explanation:

Hope this helps!

Answer:

-4

Step-by-step explanation:

6x-18=-42

6x=-42+18

6x=-24

x=-24/6

x=-4

Directions Round each amount to the nearest cent, dime and dollar
1. $32.518

Answers

Answer:

$32.52

Step-by-step explanation:

Hope it helps! =D

is there an ordered pair that is in the solution to both of these linear equations


Answers

Answer:

(- 4, 2 )

Step-by-step explanation:

y = 3x + 14 → (1)

2x - 3y = - 14 → (2)

substitute y = 3x + 14 into (2)

2x - 3(3x + 14) = - 14 ← distribute parenthesis on left side and simplify

2x - 9x - 42 = - 14

- 7x - 42 = - 14 ( add 42 to both sides )

- 7x = 28 ( divide both sides by - 7 )

x = - 4

substitute x = - 4 into (1)

y = 3(- 4) + 14 = - 12 + 14 = 2

solution is (- 4, 2 )

a 5-letter password is to be constructed from the following letters: {a, b, c, d, e}. the password must contain exactly 3 of the letters. (obviously at least one of them will need to be used more than once to create a 5-letter password.)

Answers

If A,B, and C are the letters selected and we use A twice, B twice, and C once. The number of ways different passwords exist in this scenario are 30.

What is a password?

A password, sometimes known as a passcode (in devices made by Apple, for instance), is a hidden piece of information that is typically a long string of characters and is used to verify a user's identity. Passwords were always thought to be memorized, but today's average person has access to a huge number of password-protected services, making it difficult to remember a different password for each one. The secret is kept by a party known as the claimant, and the person confirming the claimant's identity is known as the verifier, according to the nomenclature of the NIST Digital Identity Guidelines. The verifier can determine the identity of the claimant when the claimant successfully uses a recognized authentication technique to show the verifier that they know the password.

A, B and C are selected

A is used twice B is used twice and C is once

Total ways = 5!/2!.2! = 30

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12 1/2 divided by 5 1/2

Answers

Answer:

25/11

Step-by-step explanation:

Convert to improper fractions

25/2 ÷ 11/2

take reciprocal of divisor and multiply

25/2 x 2/11

50/22

25/11

a basketball player recorded the number of baskets he could make depending on how far away he stood from the basketball net. the distance from the net (in feet) is plotted against the number of baskets made as shown below.

Answers

If a player is standing 10 feet from the net, he could make approximately option (b) 5 baskets.

What is Distance?

Distance is the sum of an object's movements, regardless of direction. Distance can be defined as the amount of space an object has covered, regardless of its starting or ending position.

A basketball player recorded the number of baskets he could make depending on how far away he was standing from the net.

The distance from the net in feet is plotted against the number of baskets made.

Now, we see from the graph that when the distance from the net in feet is 10, the ordinate of the point is 5.

So, he could make approximately 5 baskets.

So, the answer is

Using the best fit line, if a player is standing 10 feet from the net, he could make approximately option (b) 5 baskets.

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The complete question is -

A basketball player recorded the number of baskets he could make depending on how far away he stood from the basketball net. The distance from the net (in feet) is plotted against the number of baskets made as shown below. Distance from Net vs. Number of Baskets 25 20 15 . Number of Baskets 10 5 0 0 2 10 12 4 6 8 Distance from Net (feet) Using the best-fit line, approximately how many baskets can the player make if he is standing ten feet from the net?

Help me with this please

Answers

Answer:

5555

Step-by-step explanation:

because it was the highest in there

I think this is the answer but i can't confirm because your theory and my theory can be different

for the data in the excel file grade point averages, find 90%, 95%, and 99% confidence intervals for the mean gpa. compute the confidence intervals using the appropriate formulas and verify your results using the excel confidence intervals template.

Answers

The labels in the spreadsheet are in column B, while the score values are in column A. Column C's cells are where the command operations take place. The test results are distributed between 82.516 and 87.85 by adding and subtracting the test score confidence value of 2.667 from the mean of 85.183. Excel instantly translates the formula to the result when you enter the command functions and press "Enter," giving the confidence level of 97% given the alpha value of 0.03, or 3%.

What is excel confidence interval function ?

The Excel Statistical Functions section contains the CONFIDENCE Function. The confidence interval for a population mean will be calculated using the normal distribution, and it will then be returned. For financial analysis, Excel's confidence interval tool is quite helpful. That enhances financial decision-making by enabling financial analysts to anticipate and adjust for a variety of financial goals. To do this, financial data is graphically represented together with a set of distribution parameters. Based on the statistical data offered by the normal distribution, analysts can make better financial decisions. For example, they can determine the relationship between revenue made and income spent on luxuries.

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which expressions can we use to describe how many more seconds tatenda spends than ciara spends mowing lawns during 4 weeks?

Answers

The expression used to calculate how many more seconds Tatenda spends than Ciara spends mowing lawns during 4 weeks is 4(700t- 750c) .

What is an expression in math example?

2x + 3 is an illustration of a mathematical expression with a variable. Each and every variable needs to have a coefficient, or a value multiplied by the variable. The number 2 is the coefficient of x in the formula 2x + 3, which indicates 2 times x plus 3.

time taken by tatenda to mow a square meter of lawn = t seconds

time taken by Ciara  to mow a square meter of lawn = c seconds

area mowed by tatenda in a week = 700 square meters

area mowed by Ciara in a week = 750 square meters

the expression used to calculate how many more seconds Tatenda spends than Ciara spends mowing lawns during 4 weeks

time taken by tatenda for mowing in 4 weeks = 4 * 700 * t seconds

time taken by Ciara for mowing in 4 weeks = 4 * 750 * c seconds

more seconds Tatenda spends than Ciara spends mowing lawns during 4 weeks = [4 * 700 * t ] - [4 * 750 * c]

= 4(700t- 750c)

Therefore, the expression used to calculate how many more seconds Tatenda spends than Ciara spends mowing lawns during 4 weeks is 4(700t- 750c).

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a block of pine wood, 4.0cm on each side, has a mass of 27g. What is the density of this block show your work

Answers

Step-by-step explanation:

The block of wood is 3cm on each side so it is a cube.

The volume of a cube is given by s^3. So the volume of this block is 3cm x 3cm x3 cm = 27 cm^3.

density = mass/volume =27 g / 27 cm^3 = 1 g/cm^3.

the answer is 1 g/cm^3. I hope this helps!

Proof diagram (50 points)!

Use the proof diagram to complete the question. State the missing reason in this proof for the letter given

Answers

The converse of corresponding angles theorem that proves that p║r is stated in the proof explained below (see proof below).

What is the Converse of Corresponding Angles Theorem?

If two corresponding angles are congruent to each other, the converse of the corresponding angles theorem states that the lines on which both corresponding angles lie are parallel to each other.

What is the Vertical Angles Theorem?

The vertical angles theorem is the theorem that justifies that when two angles are vertically opposite to each other, then they are congruent angles.

Given that, angle 1 is congruent to angle 5, to prove that lines p and r are parallel to each other, the statements and reasons stated below explains why they are parallel lines:

Statement                               Reason                                          

1. <1 ≅ <5                                 Given

2. <4 ≅ <1                              a. vertical angles theorem

3. <4 ≅ <5                             b. transitive property

4. p║r                                    c. converse of corresponding angles                        

                                                 theorem

Therefore, the converse of corresponding angles theorem that proves that p║r is stated in the proof explained above.

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[tex]\left[\begin{array}{ccc}1&&10\\2&&15\\3&&20\end{array}\right][/tex]Whats the verbal rule and the tenth term?

Answers

Answer:

أنا بصراحة لا أعرف

Step-by-step explanation:

أنا بصراحة لا أعرف

أنا بصراحة لا أعرفأنا بصراحة لا أعرفأنا بصراحة لا أعرفأنا بصراحة لا أعرفأنا بصراحة لا أعرف

Harry tosses a nickel 4 times. The probability that he gets at least as many heads as tails is.

Answers

The answer is 4/8 or 1/2 or 0.5 or 50%

Step-by-step explanation:

A nickel has two faces, heads and tails
Equation of probability = Number of chances/Total Numbers of chances

So, 4 chances of heads / 8 chances of heads or tails, thus, there is a chance of 50% if Harry tosses the coin 4 times to get a head

What is 943,158,670.3491 rounded to the 10 millions? PLEASE ANSWER ASAP!

Answers

Answer:

I believe the answer is 943,158,670.349

Step-by-step explanation:

Can I have brainliest? It would help me out, if not thanks anyways! Hope this helped and have a nice day!

Answer:

940,000,000

Step-by-step explanation:

943,158,670.3491

The leftmost 4 is the 10,000,000 place.

943,158,670.3491 rounded to the 10 million is:

940,000,000

The diagram shows a rectangle.
The area of the rectangle is 12b²-30b
Write an expression for
a
b
the length of the rectangle
the perimeter of the rectangle.
6b
A
length
N

Answers

Answer: The diagram shows a rectangle.

The area of the rectangle is 12b²-30b long a+b+a your answer is a

Step-by-step explanation:

A rectangle Expression for "a": a = 12b - 30,Expression for "b": b = (12b² - 30b) / (12b - 30),Length of the rectangle: Length = a = 12b - 30,Perimeter of the rectangle: Perimeter = 2 × (13b - 30)

Let's break down the given information step by step:

The area of the rectangle is given as 12b² - 30b.

The expression for "a":

The area of a rectangle is equal to its length (a) multiplied by its width (b). So, set up the following equation:

Area = Length ×Width

12b² - 30b = a × b

To find the expression for "a," divide both sides of the equation by "b":

a = (12b² - 30b) / b

Simplify the expression for "a":

a = 12b - 30

The expression for "b":

From the same equation as above,  that:

Area = Length × Width

12b² - 30b = a × b

To find the expression for "b," divide both sides of the equation by "a":

b = (12b² - 30b) / a

Substitute the value of "a" from the previous expression:

b = (12b² - 30b) / (12b - 30)

The length of the rectangle:

The length of the rectangle is represented by "a," so the expression for the length is: a = 12b - 30

The perimeter of the rectangle:

The perimeter of a rectangle is given by the formula: Perimeter = 2 ×(Length + Width)

Since the rectangle has two pairs of equal sides (opposite sides are equal in a rectangle), the expression for the perimeter will be:

Perimeter = 2 × (a + b)

Substitute the value of "a" from the expression we found earlier:

Perimeter = 2 × ((12b - 30) + b)

Simplify the expression for the perimeter:

Perimeter = 2 ×(13b - 30)

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If f(x) = 4x12, what is f(2)?

Answers

The value of function comes out to be - 4

In the question x is the independent variable and f ( x ) = y is the dependent variable , which is dependent on x .

Given : f ( x ) = 4 x - 12

To find : f ( 2 )

Substituting value of x as 2 in function , we get

f ( 2 ) = ( 4 * 2 ) - 12

          = - 4

Hence , value of function comes out to be - 4 .

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A repair company's charge for repairing a certain type of copy machine fits the model where y is the number of dollars charged and x is the number of minutes the repair person is on the job. how many minutes would it take for the cost of repair to reach $140? (round to the nearest minute.)

Answers

It will take 138 minutes for the repair cost to reach $140

Although part of your question is missing, you might be referring to this full question: A repair company's charge for repairing a certain type of copy machine fits the model y = 47.38 +0.617x. Where y is the number of dollars charged and x is the number of minutes the repair person is on the job. how many minutes would it take for the cost of repair to reach $140? (round to the nearest minute.)

As per the question:

Number of dollars charged by the company = y dollars

Number of minutes the repair person is on the job = x minutes

The cost that needs to be achieved = 140 dollars

Equation:

y = 47.38 + 0.617x------(1)

For the cost of repair to reach $140, substituting $140 in y in equation (1)

140 = 47.38 + 0.617x

Solving further and finding the value of x

140 - 47.38 = 0.617x

92.62 = 0.617x

x = 138 minutes (rounded to the nearest minute)

So, it will take 138 minutes for the repair cost to reach $140

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i need help with thisxx

Answers

Using translation concepts, we have that:

The x-coordinates in the image are the opposite of the y-coordinates in the pre-image.The y-coordinates in the image are the same as the x-coordinates of the pre-image.Therefore, the triangle was rotated clockwise 270º about the origin.

What is a translation?

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction either in it’s definition or in it’s domain. Examples are shift left/right or bottom/up, vertical or horizontal stretching or compression, and reflections over the x-axis or the y-axis.

In this problem, the vertices of the pre-image are given as follows:

D(-5,2), E(1,5), F(0,-1).

The vertices of the transformed image are given by:

D'(-2, -5), E'(-5,1), F(1,0).

From this, we the rule is given by:

(x,y) -> (-y,x).

Which is equivalent to the rotation rule of a rotation of 270º clockwise.

Hence:

The x-coordinates in the image are the opposite of the y-coordinates in the pre-image.The y-coordinates in the image are the same as the x-coordinates of the pre-image.Therefore, the triangle was rotated clockwise 270º about the origin.

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Divide The quantity 3.185 times ten raised to the seventeenth power end quantity divided by the quantity 9.1 times ten raised to the eighth power end quantity.. Write the final answer in scientific notation.

3.5 x 10 8
0.35 x 10 9
3.5 x 10 9
0.35 x 10 25

Answers

The quantity 3.185 times ten raised to the seventeenth power end quantity divided by the quantity 9.1 times ten raised to the eighth power end quantity written in scientific notation is 0.35 x 10^9. option B

Scientific notation

(3.185 × 10^17) ÷ (9.1 × 10^8)

= (3.185 ÷ 9.1) × 10^(17-8)

= (0.35 × 10^9)

Therefore, the quantity (3.185 × 10^17) ÷ (9.1 × 10^8) written in scientific notation is (0.35 × 10^9).

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Determine if the lines are parallel, perpendicular or neither.

y= -4x - 2 and 12x + 3y = 27

Answers

This is the answer: Parallel

Elementary and middle school groups typically run for __________, depending on administrator and teacher support for allowing students to miss class for the group sessions.

Answers

Elementary and middle school groups typically run for 6 to 8 weeks, depending on administrator and teacher support for allowing students to miss class for the group sessions.

What is elementary education?

Elementary education,  can as well be described as the  primary education, which is the first stage of education that is followed in the traditional  formal education,  children at  about age 5 to 7 are those that are usually found in the elementary seetings of school.

Its should be noted that Elementary and middle school groups typically run for 6 to 8 weeks, depending on administrator .

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Pls pls help whoever gets it right gets a crown

Answers

The second one
15/56 a^2

Answer:

[tex]\frac{15}{56} a^2[/tex]

Step-by-step explanation:

Which of the following is equivalent to the expression 6z - 9?

A. The quotient of 6 times a number z and 9

B. 6 times the difference of a number z and 9

C. 6 less than the product of 9 and a number z

D. 9 less than 6 times a number z

Answers

Answer:

c is the correct answer!

A bee flies at 15 feet per second directly to a flowerbed from its hive. The bee stays at the flowerbed for 16 ​minutes, and then flies directly back to the hive at 12 feet per second. It is away from the hive for a total of 18 minutes. Whats the distance?

Answers

Answer:

The distance between hive and flower bed is 2250 feet

Step-by-step explanation:

You have $100 in your bank account. If it doubles every month and you started back in Jarwary.
how much money will you have by May?

Answers

Answer:

I think 1,600

Step-by-step explanation:

A soap manufacturer advertises that it has increased the size of their bottle of dishwashing soap to 18.4 ounces, which is 5% more than the original size.

What is the original size of the bottle?
Round your answer to the nearest tenth.

Answers

5% of 18.4 is .9. subtract 18.4 and .9 and you get 17.5. hope this helps.

Predict whether atoms of chlorine or atoms of sulfur would be more likely to attract electrons and, therefore, be more reactive. Explain your reasoning.

Answers

Chlorine will be more reactive.

Reactivity of elements

From the question, we are to predict whether the atoms of chlorine or atoms of sulfur would be more likely to attract electrons

The electronic configuration of chlorine (Cl) is

2,8,7

This means Cl needs only one electron to complete its octet configuration

and

The electronic configuration of sulfur (S) is

2,8,6

This means sulfur needs two more electrons to complete its octet configuration

Since chlorine needs fewer electrons to complete its octet configuration, then it will be more likely to attract electrons.

Thus, chlorine will be more reactive.

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MatemáticasJavier pagó $92 por 5 libretas y 3 lápices. Laura compró 2 libretas y 6 lápices, y pagó $56, ¿cuál es el
precio de cada libreta y de cada lápiz?
A) $11 por una libreta y $5 por un lápiz.
B)
$13 por una libreta y $9 por un lápiz.
C)
$16 por una libreta y $4 por un lápiz.
D) $10 por una libreta y $6 por un lápiz.

Answers

If Javier paid $92 for 5 notebooks and 3 pencils and Laura paid $56 for 2 notebooks and 6 pencils, then the price of each notebook is $16 and that of each pencil is $4, calculated using linear equations.

As per question statement, Javier paid $92 for 5 notebooks and 3 pencils while Laura paid $56 for 2 notebooks and 6 pencils.

We are required to calculate the price of each notebook and each pencil.

To solve this question, let us assume that the price of each notebook is  "x" and that of each pencil is "y". Now, we will form two linear equations, each with the two assumed variables, based on the conditions mentioned in the question statement, and solving the equations, we will obtain our desired answer.

Since Javier bought 5 notebooks and 3 pencils for $92 and the price of each notebook is assumed to be "x" and that of each pencil is assumed to be "y", we can write that

[tex][(5x+3y)=92]...(1)\\or,5x = 92-3y\\or,x=\frac{(92-3y)}{5}...(2)[/tex]

And in Laura's case, she bought 2 notebooks and 6 pencils for $56, i.e.,

[tex][(2x+6y)=56]...(3)\\or, 2(x+3y)=56\\or, (x+3y)=\frac{56}{2}\\ or,(x+3y)=28\\or,x=(28-3y)...(4)[/tex]

Now, equating (2) and (4), we get,

[tex]x=\frac{(92-3y)}{5}=(28-3y)\\ or, \frac{(92-3y)}{5}=(28-3y)\\ or, (92-3y)=5(28-3y)\\or, 92-3y=140-15y\\or,(15y-3y)=140-92\\or,12y=48\\or,y=\frac{48}{12}=4[/tex]i.e., Price of each pencil is $4.

Now, using (y = 4) in the equation (4), we get,

[tex]x=[28-(3*4)]\\or,x=(28-12)\\or,x=16[/tex]i.e., Price of each notebook is $16.

Hence, the correct answer is

option(C) $16 for a notebook and $4 for a pencil.

linear equations: In Mathematics, a linear equation is an algebraic equation which when graphed, always results in a straight Line and hence comes the name "Linear". Here, each term has an exponent of 1 and is often denoted as (y = mx + c)  where, 'm' is the slope and 'b' is the y-intercept. Occasionally, it is also called as a "linear equation of two variables," where y and x are the variables.Variable: n Mathematics, a variable is a symbol or a representative of a value, which is unknown.

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jamie and imani each play softball. imani has won 5 fewer games than jamie. is it possible for jamie to have won 11 games if the sum of the games imani and jamie have won together is 30? yes; jamie could have won 11 games because 2x − 5

Answers

The total number of games won by Jamie is not 11 according to the conditions given in the question.

What is an equation?

The equation is illustrated as a mathematical statement having an equal symbol in between two expressions, '='. It depicts that both sides of the equal sign are equal to each other.

Calculation of the number of games played by Jamie

Let us assume that x and y be the number of games that Jamie and Imani have won

According to the question, Imani has won 5 fewer games than Jamie i.e.

y = x - 5    —-- 1

The total number of games won by Jamie and Imani together is 30

x + y = 30

Using equation 1, put the value of y,

x + x - 5 = 30

2x - 5= 30

Now, substitute x by 11, and we get that the equality does not net

Thus, we can conclude that 11 is not the number of games won by Jamie

Hence, the total number of games won by Jamie is not 11 using the given equations.

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