Write a system of equations and then solve by the method of your choice. Reserved seat tickets for the football game cost $4.00 each and general admission tickets cost $3.00 each. After the game is over, the turnstile count shows 1787 people attended the game. The total receipts were $5792. Find the number of each general admission tickets sold.

Answers

Answer 1

Given :

Reserved seat tickets for the football game cost $4.00 each and general admission tickets cost $3.00 each.

After the game is over, the turnstile count shows 1787 people attended the game. The total receipts were $5792.

To Find :

The number of each general admission tickets sold.

Solution :

Let, general admission are x.

So, Reserved seat tickets will be 1787 - x.

Now, total amount T = 3x + 4( 1787 - x )

T = $5792

3x + 4( 1787 - x ) = $5792

-x + 7148 = 5792

x = 1356

Therefore, the number of each general admission tickets sold are 1356.

Hence, this is the required solution.


Related Questions

solve 3-(3x-4)=2x+3(3x-7)
pls help and show steps will mark brainliest

Answers

Answer: x=2

Step-by-step explanation:Step 1: Simplify both sides of the equation.

3−(3x−4)=2x+3(3x−7)

3+−1(3x−4)=2x+3(3x−7)(Distribute the Negative Sign)

3+−1(3x)+(−1)(−4)=2x+3(3x−7)

3+−3x+4=2x+3(3x−7)

3+−3x+4=2x+(3)(3x)+(3)(−7)(Distribute)

3+−3x+4=2x+9x+−21

(−3x)+(3+4)=(2x+9x)+(−21)(Combine Like Terms)

−3x+7=11x+−21

−3x+7=11x−21

Step 2: Subtract 11x from both sides.

−3x+7−11x=11x−21−11x

−14x+7=−21

Step 3: Subtract 7 from both sides.

−14x+7−7=−21−7

−14x=−28

Step 4: Divide both sides by -14.

−14x

−14

=

−28

−14

x=2

Help pls


Part A: Show another way to find the slope of the line that passes through the points listed in the table. Your way must be different from Avery's method.

Answers

Step-by-step explanation:

Slope of line= (y2-y1)/(x2-x1)

= (45-18)/(20-8)

= 27/12

= 9/4

What is -y + y.............

Answers

The answer is 100% y

Answer:

the answer would be 0

Ricky is inviting 8 friends to a party. If each friend will get 6 cookies and in each box are 10 cookies, how many boxes will Ricky need to get?

Answers

Answer:

5

Step-by-step explanation:

8 times 6 is 48. 5 boxes times 10 in each one is 50 cookies.

Number of boxes Ricky needs to get to a party is equals to 5 boxes.

What is word problem?

" A word problem is a mathematical problem in which we represents the real life examples with the help of mathematical operation."

According to the question,

Number of friends invited in a party = 8

Number of cookies given to each friend = 6

Total number of cookies required for 8 friends = 8 × 6

                                                                             = 48 cookies

Number of cookies in each box = 10 cookies

Number of boxes for 1 cookie = 1 / 10

Number of boxes for 48 cookies = (1 / 10) × 48

                                                      =  4.8

                                                      = 5 boxes (Number of boxes cannot be    

                                                                             in decimals)

Hence, number of boxes Ricky needs to get to a party is equals to 5 boxes.

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The following is the correct way to show the product for 0.297 times 7.1

Answers

Answer:

True

Step-by-step explanation:

True

No, This is not the correct way to solve the product of 0.297 and 7.1.

What is Multiplication?

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

Given that;

To solve the product for 0.297 times 7.1.

So, The product for 0.297 times 7.1 is,

⇒ 0.297 × 7.1 = 2.1087

But here the product for 0.297 times 7.1 is 21.087.

So, This is not the correct way.

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HELP PLEASE ASAP DUE AT MIDNIGHT!!!!!!!!!

Answers

Step-by-step explanation:

20) <

21) <

22)-20,√26,√35,13.5

23)-5.25,3/2,√6,5

24)4³=64

5³=125

perfect squares between them:

8²=64

9²=81

10²=100

11²= 121

⚠️⚠️ ANSWER PLEASE question in image ( please explain ? ? )⚠️⚠️

Answers

Answer:

i cant see the picture

Step-by-step explanation:

sowey

Answer:

(0,-2)

Step-by-step explanation:

If 1 – 2i is a root of 3x2 + ax + b = 0, find the value of b.​

Answers

Answer:

a=−(1+1)=−2  

b=(1+1)=2

Step-by-step explanation:

write an equation of the quadratic function that has x-intercepts 5-i√2 and 5+i√2

Answers

Answer:

f(x) = x² - 10x + 27

Step-by-step explanation:

Given the x- intercepts of f(x) are x = a and x = b, then the factors are

(x - a) and (x - b) and f(x) is the product of the factors, that is

f(x) = (x - a)(x - b)

Here the x- intercepts are 5 - i[tex]\sqrt{2}[/tex] and 5 + i[tex]\sqrt{2}[/tex] , thus the factors are

(x - (5 - i[tex]\sqrt{2}[/tex] )) and (x - (5 + i[tex]\sqrt{2}[/tex] )) , that is

(x - 5 + i[tex]\sqrt{2}[/tex]) and (x - 5 - i[tex]\sqrt{2}[/tex] , then

f(x) = (x - 5 + i[tex]\sqrt{2}[/tex] )(x - 5 - i[tex]\sqrt{2}[/tex] ) ← expand using FOIL

     = (x - 5)² - 2i² ← i² = - 1

     = x² - 10x + 25 + 2

     = x² - 10x + 27

I NEED HELP PLEASE ITS DUE AT 1:00am

Answers

Answer:

5(4) + 5(8)

Step-by-step explanation:

Distributive property is a(b + c) = ab + ac. The beginning value distributes to the other values inside the parentheses. Hope this helped!

A man drove his car a distance of 366 miles in 6 hours. If continuing at this rate is possible, he will travel miles in 7 hours

Answers

Answer:

its 427 since 366 divided by 6 is 61 and thats the rate multiply it by the hours so its 42

Answer: 427 miles

Step-by-step explanation:

You simply divide 366 by 6,

Then, multiply that number by 7

366/6 = 61

61 * 7 = 427

Show work on y=-4x-1
Find the slope

Answers

m=-4. Or atleast that’s what I’ve heard.

75g of flour and 135 ml of milk are used to make 12 biscuits. How much flour is needed to make 30 biscuits?

Answers

The answer is 187 1/2 cups. You have to divide 75 by 12 to get how much flour is in 1 biscuit and you multiply that by 30

Mindy spent $6.24 for a new binder, $1.95 for a notebook, and $5.59 for a new pack
of her favorite mechanical pencils. Estimate ABOUT how much did she spend?

Answers

Answer:

$14.20

Step-by-step explanation;

Rounding

$6.24=$6.20

$1.95=$2.00

$5.59=$6.00

So now we have done our rounding, We just have to add them together now.

($6.20+$2.00+$6.00=$14.20)

Answer:

Mindy spent around $13

Step-by-step explanation:

I just added up all the whole numbers.

But I noticed that it is ALMOST $2 for a notebook.

So, even though the sum of all the whole numbers is 12, I assumed it would be more than 12.

So Mindy spent around $13

Hope I helped :)

Please consider Brainiest :)

If you are buying at item at a store for a price of $21, and there is a 8.7% tax added on top, what would be the total amount due at the register, to the nearest cent?

Answers

Answer:

22.83 I think

Step-by-step explanation:

Can someone help, I don’t know what I’m doing wrong.

Given the following least-squares regression line, how many seconds does this model predict a 7-foot pendulum would take to complete one period?

Answers

Answer:

the answer is the 1 with the check on it

11.2 seconds given model predicts a 7-foot pendulum that would take to complete one period.

The correct answer is option (D)

What is regression?

"It is statistical model which is used to determine the relationship between variables."

What is least square method?

"The least squares method is a mathematical regression analysis used to determine the line of best fit for a set of data."

Logarithm property:

If log x = b, then x = (10)^b

Given : the least-squares regression line,

log Time = 0.699 + 0.500 log(Length)

We need to find the time when given model predict a 7 foot pendulum would take to complete one period.

Here, Length = 7 ft

Using given model,

⇒ log Time = 0.699 + 0.500 log(7)

⇒ log Time = 0.699 + (0.5 × 0.8451)

⇒log Time = 0.699 + 0.423

⇒ log Time = 1.122

⇒ Time = [tex]10^{1.122}[/tex]

Time = 13.2 seconds

Therefore, the correct answer is option (D) 13.2 seconds.

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Solve the linear equation.
45 = -( 7x + 1) +4(-8x-8)​

Answers

Answer:

Today: Monday, 12 October 2020

Hour: 13.35 WIB (in Indonesian)

_________________________

(5, -8) m = -3
Write an equation in point-slope form

Answers

Answer:

y + 8 = - 3(x - 5)

Step-by-step explanation:

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

Here m = - 3 and (a, b) = (5 - 8) , thus

y - (- 8) = - 3(x - 5) , that is

y + 8 = - 3(x - 5)

here are 10 numbers 3 7 2 4 7 5 7 1 8 8

Answers

What’s the question to go with the 10 numbers.

The table represents a linear function.

[ x y ]
-----------
-2 8
-1 2
0 -4
1 -10
2 -16
-----------

What is the slope of the function?
–6
–4
4
6

Answers

Answer: -6

See attached picture

Andre wants to buy a $230 MP3 player. He has $50 and will save $30 per month. Write an equation in slope intercept form to determine how much Andre will have to save.

Answers

Answer:

Step-by-step explanation:

A=230

230-50=180

He will have to save 180

He can save 180 in :

180:30=6 mounths

Answer:

y=30x+50

Step-by-step explanation:

he has a base number of 50 dollars starting out (b) and he will gain 30$ once a month (x)

what is -21222 divided by -34627?

Answers

Answer:

0.6128743466

Step-by-step explanation:

Answer:

0.6128743466

Step-by-step explanation:

[tex]\frac{-21222 }{-34627}[/tex] =0.6128743466

Negative divided by a negative makes the answer positive

Mr. Williams's class has 12 girls and 17 boys. He plans to randomly select one student to take notes each day for the class
notebook. If all students are present, what is the probability that he randomly selects a girl to take notes on the first day of
class?

Answers

Answer:

12/29 chance or 0.413793103

Step-by-step explanation:

12+17=29

17/29 boys

12/29 girls

You buy 70 of your favorite songs from a Web site that charges ​$0.99 for each song. What is the cost of 70 ​songs? Use mental math.

Answers

Answer:

69.3

Step-by-step explanation:

70-0.7

Answer:

$69.3

Step-by-step explanation:

I did mental math

i need help helping my brother asap

Evaluate the equation.

7.15e = 64.35
A. e = 8
B. e = 9
C. e = 460.0125
D. e = 460.1025

Answers

it would be B because 64.35/7.15=9 so e=9

Can anybody help me please with question 2 please and thank you .I would really appreciate it so much. Please and thank you

Answers

Answer:

See below.

Step-by-step explanation:

See image for labels (labels are in blue).

  Statements:                                              Reasons:

1) [tex]T\text{ is the midpoint of } \overline{ZC}[/tex]                            Given

2) [tex]\overline{GT}\perp\overline{ZC}[/tex]                                                  Given

3) [tex]\angle GTZ\text{ and } \angle GTC\text{ are right angles}[/tex]          Def. of Perpendicular Lines

4) [tex]\overline{ZT}\cong\overline{TC}[/tex]                                                 Def. of Midpoint

5) [tex]\angle GTZ\cong\angle GTC[/tex]                                      Right Angles Are Congruent

6) [tex]\overline{TG}\cong\overline{TG}[/tex]                                                 Reflexive Property

7) [tex]\Delta TGZ\cong\Delta TGC[/tex]                                     SAS Congruence

And we're done!

Answer:

Sorry that looks a bit confusing though

Step-by-step explanation:

WILL MARK BRAINLIEST, PLEASE EXPLAIN HOW YOU GOT YOUR ANSWER!!!


The equation for lines can be written as y = –6x + 2. Line t includes the point (–6, –7) and is perpendicular to line s. What is the equation of line t?

Answers

Answer:
y=1/6x-6

Explanation:
What we know:
- Equation for line S: y=-6x+2
- Line T is perpendicular to line S
- Line T passes through the point (-6,-7)

To find the answer, we would need to understand two things, the first being what exactly is going on with the equation: y=-6x+2.

It’s organized in slope-intercept form, which is y=mx+b. Here’s what the variables mean:

Y=the y variable
M=the slope
X=the x variable
B=the y-intercept (the point on the line that crosses the y axis)

Knowing this, we can look at the equation for line S again: y=-6x+2. -6 is the slope of line S and 2 is the y-intercept of line S.

The second thing we need to understand is that the slope of a second line that is perpendicular to the first line is equal to the NEGATIVE RECIPROCAL of the slope of the first line.

Reciprocal: the “flip” of a fraction where the denominator and the numerator switch places

So, for example, let’s say the slope of line A=6. The slope of the line perpendicular to line A would be -1/6.

Let’s try another example: the slope of line B=-4/5. The slope of the line perpendicular to line B would be 5/4 (because two negatives makes a positive)

And here, for your question, the slope of line S=-6. Therefore, the slope of line T would be 1/6.

Awesome! We found the slope, which means so far, the equation of line T looks like this:

y=1/6x+b

All we need now is the y-intercept, which is “b” in the equation y=mx+b.

To do this, we plug in the point that the question provided us, (-6,-7), and solve. We would plug in -7 as the y variable and -6 as the x variable.

y=1/6x+b
-7=1/6(-6)+b
1) multiply 1/6 and -6
-7=-1+b
2) add 1 to both sides of the equation to isolate b
-6=b

Aha! There we have it, -6 is the y-intercept of line T.

Now, we have completed our equation:

y=1/6x-6

I hope this helps! Please comment if you have any questions.

Is anyone able to help me with finding the volume of the triangular prism

Answers

Answer:

1296 m³

Step-by-step explanation:

Volume = area * height.

Take any of the given faces. I have taken 12m & 12 m.

Area of this face = 1/2 * 12m * 12m

= 72 m²

Height = 18 m.

Thus,

Volume = 72m² * 18m = 1296 m³

I need help with my question

Answers

I think it’s d! I’m not too sure but Ide do with d

Help me out look at the picture I wanna go to sleep

Answers

Answer:

It's B

Step-by-step explanation:

hope that helps :)

and go to sleep already <3

Answer:

B

Step-by-step explanation:

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