Regent Stadium charges $20 for a seat in the bleachers, $30 for an end zone seat, and $40 for the excellent seats near the 50-yard line. When the stadium is full, 500 tickets were sold for a total of $14,000. The number of bleacher seats is the same as the number of end zone and 50-yard line seats combined.

Answers

Answer 1

Answer:

The number of bleachers seat sold = 200

The number of end zone seats sold =200

The number of excellent seats sold =100

Step-by-step explanation:

Let there are bleachers seats =x

The number of zone seats =y

The number of excellent seats =z

So, we can set up equations for given sentences as

x+y+z= 500

20 x+30 y+40 z=14000

x=y

Substitute x as y into first two equations

y+y+z=500

20 y+30 y+40 z=14000

Simplify each

2 y+z=500

50 y+40 z= 14000

Multiply 2 y +z=500 by -40 to eliminate z terms when we add them.

-80 y-40 z=-20000

Add this with 50 y +40 z=14000, which gives

-30 y=-6000

Divide both sides by -30

y=200

Now, plug in y as 200 into any of the equations to find z.

2(200)+z=500

400+z =500

Subtract both sides 400.

z=100

Now, we know x=y

So, x=200


Related Questions

Solve for x: 7x + 15 = 38

twenty-three sevenths
fifty-three sevenths
23
53

Answers

x= 23/7 so twenty-three sevenths

Somebody who remembers how do to this plz answer all the questions correctly thanks so much!!!!
(WILL MARK AS BRAINLIEST)
:D

Answers

28. 0.16 (add a line above 6)

29. 0.45 (add a line above 45)

30. 0.4 (add a line above 4)

31. 0.27 (add a line above 7)

32. 0.037 (add a line above 037)

33. 0.045 (add a line above 45)

34. 0.27 (add a line above 27)

35. 0.148 (add a line above 148)

36. 0.16 (add a line above 6)

37. 2.83 (add a line above 3)

Why?

Just divide the 1st number by the last numberb and if the numbers repeat at the end, add a line above them!

^^^^^ bro that guy so smart

Find an equation in standard form of the parabola passing through the points (1, -2), (2, -2), (3, -4)?

Answers

9514 1404 393

Answer:

  y = -x^2 +3x -4

Step-by-step explanation:

We are given two points with the same y-value, so we know the axis of symmetry lies halfway between their x-coordinates, at ...

  x = (1 +2)/2 = 3/2

Then the vertex form of the equation can be written ...

  y = a(x -3/2)^2 +k

__

We can use two of the points to find the values of 'a' and 'k'.

For (x, y) = (1, -2)

 -2 = a(1 -3/2)^2 +k = a/4 +k

For (x, y) = (3, -4)

  -4 = a(3 -3/2)^2 +k = 9a/4 +k

Subtracting the first of these equations from the second, we have ...

  (9a/4 +k) -(a/4 +k) = (-4) -(-2)

  2a = -2

  a = -1

Then k can be found from the first equation.

  -2 = -1/4 +k

  k = -1  3/4

So, the vertex form equation is ...

  y = -(x -3/2)^2 -7/4

__

Expanding this, we can find the standard form.

  y = -(x^2 -3x +9/4) -7/4)

  y = -x^2 +3x -4

Use Triangle ABC to find the trigonometric ratio.
tan B =

Answers

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[tex] \tan(B) = \frac{ \sin(B) }{ \cos(B) } = \frac{ \frac{8}{17} }{ \frac{15}{17} } = \frac{8}{15} \\ [/tex]

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The tangent or tanθ in a right angle triangle is the ratio of its perpendicular to its base. The value of Tan(B) will be equal to 8/15.

What is Tangent (Tanθ)?

The tangent or tanθ in a right angle triangle is the ratio of its perpendicular to its base. it is given as,

[tex]\rm Tangent(\theta) = \dfrac{Perpendicular}{Base}[/tex]

where,

θ is the angle,

Perpendicular is the side of the triangle opposite to the angle θ,

The base is the adjacent smaller side of the angle θ.

The value of Tan(B) will be the ratio of the sides AC and BC. Therefore, the value of Tan(B) can be written as,

Tan(B) = AC / BC

Tan(B) = 8/15

Hence, the value of Tan(B) will be equal to 8/15.

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can someone pls help me with the question i posted earlier asap pleasee

Answers

Answer:

I did so thanks for the points

Step-by-step explanation:

2. Tom Johnson worked 32 hours this week for $9.25 per hour. What is Tom’s gross pay for the week?

Answers

His pay for the week is 296

Answer:

$296.

Step-by-step explanation:

Gross pay is total pay without deductions, and none were mentioned anyways so $9.25 × 32 = $296.

What is the slope of the line that passes through the points (4, 6) and
(-16, -18)?

Answers

Answer:

-3 / 5

Step-by-step explanation:

18-6 / -16-4

12 / -16-4

12 / -20

-3 / 5

1x+2x = what?
Will mark brainiest whatever that mean

Answers

Answer:

3x

Step-by-step explanation:

Answer:

3x

Step-by-step explanation:

1+2=3

so 1X+2x=3x

You start at (7, 2). You move up 5 units. Where do you end?

Answers

Answer:

(7,7)

Step-by-step explanation:

Because going up would be moving along the y-axis, then you would add 5 to the Y value which was 2 so therefore, if you move up 5 you'll be at (7,7).:)

Answer:

(7,7)

Step-by-step explanation:

The second number is the y value so you add five to two and you get seven.

Someone please help

Answers

9514 1404 393

Answer:

  622

Step-by-step explanation:

The n-th term of an arithmetic sequence is given by the formula ...

  an = a1 +d(n -1)

where a1 is the first term (6), and d is the common difference (14-6=8).

Then the 78th term is ...

  a78 = 6 + 8(78 -1) = 6 + 616 = 622

The 78th term is 622.

I am stuck.can you solve it please.

Answers

Step-by-step explanation:

what i advice u is read about chords ,secant line ,diameter ,radius ,tangent line, inscribed angle, central angle

hope it helps

for any question comment me ❤❤❤

A tape diagram. There are 65 students out of 100 students who ride the bus. There are question mark students out of 800 students who ride the bus. 65% of the 800 students at North High School ride the bus. How many students ride the bus? 100 multiplied by is equal to 800. 65 multiplied by is equal to . out of students ride the bus.

Answers

Answer:

answer one is 8

answer two is 8

answer three is 520

answer four is 520

answer five is 800

Step-by-step explanation:

There are  520 students out of 800 ride the bus,

65% of 800 is 520,

100 multiplied by 8 is 800.

What are ratios and proportions?

The majority of the explanations for ratios and proportions use fractions. A ratio is a fraction that is expressed as a:b, but a proportion says that two ratios are equal. In this case, a and b can be any two integers. The foundation for understanding the numerous concepts in mathematics and science is provided by the two key notions of ratio and proportion.

Given,

1: There are 65 students out of 100 students who ride the bus. There are question mark students out of 800 students who ride the bus.

let x student out of 800 rides the bus

so both conditions 65/100 and x/800 are in proportions,

65/100 = x/800

x = 800*65/100

x = 520

2:  65% of the 800 students at North High School ride the bus.

65% of 800 = 65/100 x 800

65% of 800 = 520

3: 100 multiplied by is equal to 800.

let x multiplied by 100 is 800

x*100 = 800

x = 800/100

x = 8

Hence 520 students out of 800 ride the bus,

65% of 800 is 520,

100 multiplied by 8 is 800.

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3. A new a bank customer with $3,000 wants to open
a money market account. The bank is offering a
simple interest rate of 1.9%
a. How much interest will the customer earn in 20 years?

Answers

Answer:

In 20 years, the customer earns 1330

Step-by-step explanation:

I =Prt

the formula for simple interest

P= 3000

r = 1.9% (0.019)

t = 20 years

(3500)(0.019)(20)= 1330

One of the common factors of 24 and 60 is 6. What is the GCF of 24 and 60? What does the value of the GCF represent?

Answers

Answer:

4

Step-by-step explanation:

The GCF of 24 and 60 is 12 and GCF represents the largest of the common factors.

The given two numbers are 24 and 60.

What is GCF?

The "Greatest Common Factor" is the largest of the common factors (of two or more numbers).

Now, 24=2×2×2×2×3 and 60=2×2×3×5.

The GCF of 24 and 60 is 2×2×3=12.

Therefore, the GCF of 24 and 60 is 12 and GCF represents the largest of the common factors.

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Is -4 – -8 positive or negative?

Answers

Answer:

positive

Step-by-step explanation:

because that's how math works

8 added to f is the same as 385
Write the sentence as an equation

Answers

Answer:

8 + f = 385

Step-by-step explanation:

8 added to f is the same as 8 + f.

The equal sign is basically "same as"

So 8 + f is "same as" 385.

Answer:

377

Step-by-step explanation:

8 + f = 385

subtract 8 from 385

385 - 8 = f

f = 377

Which transformation of AB will produce a line segment A’B that is parallel to AB

Answers

Answer:

Step-by-step explanation:

A

The table shows the results of a survey to choose a new
school mascot.
Vx
Four hundred students participated in the survey.
Which expression would you use to find how many
students voted for the cougar?
What should be the new school mascot?
Cougar
10%
400 - 2
0400 +4
Eagle
15%
0400 - 5
Falcon
0400 + 10
50%
Panther
25%
Intro
Done

Answers

Answer:

400 divided by 10 Got it right in the assignment

Answer:400 divided by 10

Step-by-step explanation:

<3

Write 3 Equivalent ratios for the following ratio: 3:4

Answers

Answer:

3:4=6:8=12:16=24:32

Step-by-step explanation:

To find an equivalent ratio, you just need to multiply or divide both quantities by the same number.

Stu hiked a trail at an average rate of 3 miles per hour. He ran back on the same trail at an average rate of 5 miles per hour. He traveled for a total of 3 hours. The equation 3t = 5(3 – t) can be used to find the time it took Stu to hike one way. How long did it take Stu to hike the trail one way? hours How long is the trail? miles What is the total distance Stu travelled? miles

Answers

Answer:

Time taken to travel at 3 miles = 1.875

Time taken to travel at 5miles = 1.125

Total distance = 11.25

Step-by-step explanation:

D = speed x time

Time = distance/speed

Time at 3 miles per hour and 5 miles per hour

T1 = d/3

T2 = d/5

Total time = 3 hours

T1+t2 = 3 hours

d/3 + d/5 = 3

= d(1/2+1/5) = 3

d(5+3/15) = 3

d(8/15) = 3

We cross multiply

8d = 45

d = 45/8

= 5.625 miles

Total distance = 2d

2x5.625 = 11.25 miles

Since d is now known

T1 = 5.625/3 = 1.875 hours also 1 hour 52.5 minutes

T2 = 5.625/5 = 1.125 hours = 1 hour 7.5 minutes

Total distance 2xd = 11.25

Answer:

the answer is

A. 1.875 hours

C. 5.625 miles

D. 11.25 miles

Step-by-step explanation:

magic

Solve: -3 + 7 -5 + (-10)​

Answers

Answer:

it is -11 because use the cauculator lol

Answer:

-11

Step-by-step explanation:

use a calculator bruh

PLESAE HELP NOW!!
Points (−6, 3) and (−6, −3) on the coordinate grid below show the positions of two dogs at a park:


Which statement best describes the relationship between the positions of the two players?


Dog 1's position is Dog 2's position reflected across the y-axis; only the signs of the y-coordinates of Dog 1 and Dog 2 are different.

Dog 1's position is Dog 2's position reflected across the x-axis; only the signs of the y-coordinates of Dog 1 and Dog 2 are different.

Dog 1's position is Dog 2's position reflected across the x-axis; only the signs of the x-coordinates of Dog 1 and Dog 2 are different.

Dog 1's position is Dog 2's position reflected across the y-axis; only the signs of the x-coordinates of Dog 1 and Dog 2 are different.

Answers

Answer:

Ok so what you would do is find -6,3 and -6,-3 on the grid and pinpoint them.

Step-by-step explanation:

Have a brainly day!!


Dog 1's position is Dog 2's position reflected across the x-axis; only the signs of the y-coordinates of Dog 1 and Dog 2 are different.



What is the equation of the line that passes through the point (-4, 2) and has a
slope of 1/4?

Answers

Answer: The equation of the line is y=1/4x + 3

Step-by-step explanation:

To get the equation, you have to set it up:

y=1/4x + b

Plug in the coordinates (-4, 2) next:

2=1/4(-4) + b

Solve:

2= -1 + b

add one on both sides:

3= b

Use the information to get the equation:

y=1/4x + 3

I hope this helps!!

Answer:

dfjhbgvdsasdfgf

Step-by-step explanation:

The formula to convert, temperature measured in degrees Celsius, C, to
temperature measured in degrees Fahrenheit, F, is below. F = 9/5 (C) + 32
Mariah records the outside temperature to be 15° Celsius. What is the
temperature, in terms of degrees Fahrenheit?

A. 35
B. 59
C. 47
D. 40

Answers

Hey :)

B. 59


(15°C × 9/5) + 32 = 59°F

Hope this helps!

Answer:

The answer is B, 59.

Explanation

1) Subsitute 15 for C.

2) Multiply 15 by 9/5. That leaves you with 27.

3) Finally, add 32 to 27. You get 59.

:) Hope this helps

Henry is following the recipe to make a cake. He has 95 cups of flour. How many cakes can Henry make

Answers

Answer

31

Step-by-step explanation:

3 cups in a cake you have 95

95÷3=31 hole cups

PLEASE HELP ME!

Your health insurance premium is $102.13 each check. You get paid semi-monthly. How much is your insurance premium annually?

A. $2,451.12
B. $2,655.38
C. $1,225.56
D. $102.13​

Answers

The answer is c because you add 102 and multiply it by 12

The annually premium for health insurance will be $2,451.12.

Option A is true.

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;

The health insurance premium is $102.13 each check.

And, We get paid semi-monthly.

Hence, Monthly premium = 2 x $102.13

                                        = $204.26

Since, 1 year = 12 months

Thus, The annually premium = 12 x $204.26

                                            = $2,451.12

So, The annually premium for health insurance will be $2,451.12.

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Find the slope between the given points. REMEMBER: Slopes must be simplified.
(8,3) and (-5,3)

Answers

Answer:

Slope = 0

Step-by-step explanation:

Slope = 0/-13 = 0


For the pair of points, find the slope of the line that passes through both points.
(1,1) and (7,5)

Answers

5-1/7-1
4/6
Answer 2/3

17. Find the value of x to
make the following equation
true.
n

Answers

Answer:

- 2

Step-by-step explanation:

Step 1:

[tex]\frac{n^{10} }{n^{12} }[/tex] = [tex](n^{x})^{1}[/tex]           Equation

Step 2:

[tex]n^{10 - 12}[/tex] = [tex](n^{x}) ^{1}[/tex]        Subtract the exponents

Step 3:

[tex]n^{-2}[/tex] = [tex](n^{x})^{1}[/tex]             Subtract

Answer:

x = - 2

Hope This Helps :)

if 2x+10 does not equal 42 then x does not equal 16​

Answers

Answer:

I can help if you like actually finished the full question.

Step-by-step explanation:

2(16) + 10 = 42

32 +  10 = 42

if this is a true or false question than this would be true.

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