Tickets for a basketball game cost $20 for upper-level seats and $30 for lower-level seats. Tickets at the same venue
for an ice hockey game cost $15 for upper-level seats and $35 for lower-level seats. If tickets for all seats are sold,
the venue generates $7000 in revenue for a basketball game and $6500 for a hockey game. How many upper and
lower-level seats does the venue have?
Let x represent the number of upper-level seats.
Let y represent the number of lower-level seats.
20x + 30y = 7000
15x + 35y = 6500
The venue has
upper-level seats and lower-level seats.

Answers

Answer 1

Answer:

200 and 100

Step-by-step explanation:

Just did it:)

Answer 2

Answer:

The number of upper-level seats = 200

The number of lower-level seats = 100

Step-by-step explanation:

Given:

x = the number of upper-level seats.

y = the number of lower-level seats.

According to the question:

20x + 30y = 7000

15x + 35y = 6500

Multiply first equation by 3 and second by 4 then subtract them

[tex]3(20x + 30y) - 4(15x + 35y ) = 3(7000)-4(6500)\\60x+90y-60x-140y=-5000\\-50y=-5000\\y=100[/tex]

Plug y=100 in 20x + 30y = 7000.

[tex]20x + 30y = 7000\\20x + 30(100) = 7000\\20x+3000=7000\\20x=4000\\x=200[/tex]

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Related Questions

Determine the area of the composite figure to the nearest whole number. A) 132 ft2 Eliminate B) 176 ft2 C) 184 ft2 D) 216 ft2

Answers

Answer:

B) 176 ft²

Step-by-step explanation:

The picture below is the attachment for the complete question. The figure has 3 halves of a circle and a square . The area of the figure is the sum of their area.

Area of a square

area = L²

where

L = length

L = 9 ft

area = 9²

area = 81 ft²

Area of the 3 semi circles

area of a single semi circle = πr²/2

For 3 semi circle = πr²/2 + πr²/2 + πr²/2 or 3 (πr²/2)

r = 9/2 = 4.5

area of a single semi circle = (3.14 × 4.5²)/2

area of a single semi circle = (3.14 × 20.25 ) /2

area of a single semi circle = 63.585 /2

area of a single semi circle = 31.7925

Area for 3 semi circles = 31.7925  × 3 = 95.3775  ft²

Area of the composite figure =  95.3775  ft² + 81 ft² = 176.3775  ft

Area of the composite figure ≈ 176 ft²

Help me please need it fast

Answers

Answer:I am pretty sure it is A

Step-by-step explanation:

The dimensions of a chocolate box are: height=x + 2 inches, length=2x+5 inches, and width=4x-1 inches. If the volume of the chocolate box is 605 cubic inches, what is the value of x?

Answers

I hope this helps you

Answer:

To begin to answer your question you would need to know that the formula for the volume of a rectangular prism is the following: [tex]V=lwh[/tex]. Now its just a manner of substitutions.

Step-by-step explanation:

[tex]V=605 \text{in}^3[/tex]

Then one can also state the following:

[tex]V=(x+2)(4x-1)(2x+5)[/tex]

Following up with this substitution:

[tex]605=(x+2)(4x-1)(2x+5)[/tex]

Proceeding with a FOIL procedure:

[tex]605=(4x^2+8x-x-2)(2x+5)[/tex]

[tex]605=8x^{3}+34x^{2}+31x-10[/tex]

[tex]0=8x^{3}+34x^{2}+31x-615[/tex]

Using PRZs:

[tex]PRZs=\frac{\text{Factors of Constant Term}}{\text{Factors of Highest Power}}=\frac{\pm 1,\pm 3, \pm 5, \pm 41, \pm 615}{\pm 1, \pm 2, \pm 4, \pm 8}[/tex]

By graphing it one can identify that 3 is a solution so plugging it in and using synthetic division.

[tex]\begin{array}{ccccc}3|& 8 & 34 & 31 & -615\\ \ \ |& & 24 & 174 & 615 \\ & 8 & 58 & 205 &0 \end{array}\\[/tex]

Giving the following the polynomial:

[tex]0=(x-3)(8x^2+58x+205)[/tex]

Now one can evaluate the discriminant of that quadratic:

[tex]58^2-4(8)(205)=-3196[/tex]

Because it is negative one knows that it produces imaginary solutions. Therefore the only real solution is [tex]x=3[/tex]. Therefore the dimension of the box is the following: [tex]5\text{in},11\text{in}, 11\text{in}[/tex]

Breakout room#5 code?

Answers

Answer:

what do you mean

Step-by-step explanation:

Answer:

G8YT85

Step-by-step explanation:

HELP ASAP!!!

consider the given solids which dimensions shown. Which solids are similar?

Answers

Answer:

Consider the ratio of corresponding sides, you would find out:

Option A is correct

Step-by-step explanation:

Check figure 1 and figure 2: 8/12 = 16/24 = 10/15 = 1/3

=> they are similar.

Check figure 2 and figure 3 (or fig. 1 and fig. 3): Not satisfied.

Hope this helps!

:)

Answer:

A

Step-by-step explanation:

1 and 2

8/12 = 16/24 = 10/15

2/3 = 2/3 = 2/3

Same ratio, so similar

2 and 3

12/28 = 24/36 = 15/30

3/7 = 2/3 = 1/2

Ratio not constant, so not similar

solution of 4y - 2x < 8

a. (0,2)
b. (-4,0)
c. (1,2)
d. (10,7)​

Answers

Answer:

A

Step-by-step explanation:

You have $1000 to invest in an account and need to have $2000 in one year. What interest rate would you need to have in order to have this if the amount is compounded weekly? Round your answer to the nearest percent.

Answers

Answer:

69.8%

Step-by-step explanation:

The weekly interest rate is computed using 52 weeks a year as per standard investment practice.

FV=PV*(1+r/52)^n*52

FV is the future value of $2000

PV is the present worth of $1,000

r is the unknown

n is the number of years which is 1

2000=1000*(1+r/52)^1*52

divide both sides by 1000

2000/1000=(1+r/52)^52

divide the index of the both sides by 52

(2000/1000)^(1/52)=1+r/52

1.013418991 =1+r/52

r/52=1.013418991 -1

r/52=0.013418991

r=0.013418991 *52=69.8%

Answer:

4%

Step-by-step explanation:

not really sure if thats right but i hopes it helps

Deposits into a bank account are represented by numbers. Withdrawals from the account are represented by negative numbers. Which amount represents a withdrawal of less than $ 200?

Answers

Answer:

The answer is (-$200) to the left

Step-by-step explanation:

Solution

It is assumed that when a number is positive,  it is a distance to the right, also when a number is negative, it is a distance to the left. If a positive number is referred to as  deposit to a bank account, then a negative number is a withdrawal from that bank account.

So, If a positive number means addition, then a negative number would also mean subtraction.

The amount that represents a withdrawal of less than $200 would be (-$200)

Soy bean type 1 yielded 125 bushels per acre last year at a research farm. This year, soy bean type 2, planted in the same location, yielded only 100 bushels per acre and there was a drought. The researchers do not know whether the difference is a result of the superiority of type 1 soy beans or the drought. What is this an example of?

Answers

Answer: confounding variables

Step-by-step explanation:

Confounding variables are outside influence that changes the effect of a dependent and independent variable. In this case the outside variable is the drought, which has changed the effects of the dependent and independent variables. This additional influence can be used to influence the outcome of an experimental result. Confounding variables can ruin an experiment and produce unwanted results.

Answer:

confounding

Step-by-step explanation:

What is the value of the angle marked with x?

Answers

Answer:

87

Step-by-step explanation:

Answer:

x=91

Step-by-step explanation:

All angles of a quadrilateral can add up to 360.

360-87=273

273/3=91

x=91

I am not to sure, but I think this is the answer.

What is the length of a diagonal of a cube with a side length of 1 cm?
StartRoot 2 EndRoot cm
StartRoot 3 EndRoot cm
StartRoot 4 EndRoot cm
StartRoot 5 EndRoot cm

Answers

Answer:

The answer is 3cm

Step-by-step explanation:

The length of a diagonal of a cube with a side length of 1 cm is,

⇒ √3 cm

What is mean by Multiplication?

Multiplication means to add number to itself a particular number of times. Multiply will be viewed as a process of repeated addition.

Given that;

A side length of cube is,

⇒ 1 cm

We know that;

The length of a diagonal of a cube with a side length of a cm is,

⇒ d = √3 × a

Here, a = 1

Hence, The length of a diagonal of a cube with a side length of 1 cm is,

⇒ d = √3 × 1

⇒ d = √3 cm

Learn more about the multiplication visit:

https://brainly.com/question/10873737

#SPJ6

The solutions of a quadratic equation are 5 and -1. What is the factored form of a related quadratic function?

Answers

Answer:

f(x)=(x+1)(x-5)

Step-by-step explanation:

The solutions to a quadratic equation are going to be your x-intercepts, or when y is equal to zero. For y to be zero, all you have to do is have one value equal to zero. When x is 5, (x-5) is equal to zero. When x is -1, (x+1) is equal to zero. This is one example of what your quadratic equation could be.

Anyone understand how to do this?

Answers

Answer:

f ( x ) = - 2x^2 + 3x + 1

Step-by-step explanation:

If f (x ) extends to → − ∞, as x→ − ∞ , provided f(x) → − ∞, as x → +∞, we can rewrite this representation as such;

− ∞  < x < ∞, while y > − ∞

Now the simplest representation of this parabola is f ( x ) = - x^2, provided it is a down - facing parabola;

If we are considering a down - facing parabola, the degree of this trinomial we should create should be even, the LCM being negative. Knowing that we can consider this equation;

Solution; f ( x ) = - 2x^2 + 3x + 1, where the degree is 2, the LCM ⇒ - 2

cot²A=(1-sin²A)cosec²A​

Answers

Answer:

Step-by-step explanation:

Cross multiplication method, find the value z and y for 3x + 5y = 70 and 7x-3y =60

Answers

Answer:

Y=7.05

X= 11.6

Step-by-step explanation:

Equate both equations to zero

3x+5y=70--------equation 1

7x-3y=60---------equation 2

From the equation above

a1=3, b1=5, c1=-70

a2=7, b2= -3, c2=-60

By applying the cross multiplication method

x/b1c2-b2c1= y/a2c1-a1c2= 1/a1b2-a2b1

x/(5)(-60)-(-3)(-70)=y/(7)(-70)-(3)(-60)=1/(3)(-3)-(7)(5)

x/-300-(-210)=y/-490-(-180)=1/-9(-35)

x/-510=y/-310=1/-44

x/-510=1/-44 , y/-310=1/-44

-44x=-510 , -44y= -310

x=11.6 , y=7.05

Thus, the value of x is 11.6 and the value of y is 7.05

Find the surface area.

Any help will be appreciated. Thank you

Answers

Answer: 144 units squared

Step-by-step explanation:

Rec- 3 x 11 = 33

Rec- 4 x 11 = 44

Rec- 5 x 11 = 55

Tri- 3 x 4 = 12    12/.5 = 6

Tri- 3 x 4 = 12    12/.5 = 6

33 + 44 + 55 + (6 x 2)

33 + 44 + 55 + 12 = 144

An art teacher buys 9 bags of cotton balls. There are 68 cotton balls in each bag.
Which expression is best to estimate the number of cotton balls the teacher
buys?
9+70
9*60
9*70
9+60

Answers

Answer:

9*70

Step-by-step explanation:

It is not 9+70 or 9+60 because for this problem multiplication is required.

This problem seems to want you to round to the nearest ten's place.  Because the one's place in 68 is above 5, the number will round up.

This means that the answer will be 9*70

Answer:

9*70

Step-by-step explanation:

Help please help help

Answers

Using the pythagorean theorem:
2 squared + 3 squared = slide length squared
13= slide length squared
3.605 or about 3.6
Hope this helped!

Answer:

I got 3.60

Step-by-step explanation:

I used a^2 + b^2 = c^2.

2^2 + 3^2 = c^2 which is the hypotenuse ( the slide)

^^^^^^^^^^these are the legs that make up the right angle. FIRST get the square root of those and add them. THEN the total of that which is 13. Square root 13...√13 and it gives you 3.6055512etc.

Calculate the volume of the solid. Round answer to the nearest hundredth.

Answers

The answer would be 191.1 cm^3

Which ratio is equivalent to 7:3 ???

Answers

Answer:

14:6 is a ratio that would be equivalent to the ratio given.

I doubled 7 to 14, and 3 to 6. 21:12 or 28:18 could also be correct.

Final answer: 14:6

If there are answer choices that are not any of these ratios, I can help. xD

Friends please help I don’t understand this!.

Answers

Answer:

I would say that it is 3/2

Step-by-step explanation:

The correct answer is 3/2

Sadie uses 9.8 pints of blue paint and white paint to paint her bedroom walls. 1 4 of this amount is blue paint, and the rest is white paint. How many pints of white paint did she use to paint her bedroom walls?

Answers

Answer:

7.35 pints

Step-by-step explanation:

If we use 1/4 of the 9.8 pints for blue, then the remaining white paint takes up 3/4 of the 9.8 pints of paint. To find how many pints of paint is equal to 3/4 of it, you must multiply that fraction by the amount (9.8).

[tex]\frac{3}{4}[/tex] * 9.8 (or 0.75 * 9.8) = 7.35

Therefore, 7.35 pints of the total paint used is white.

Hope I helped! Please give me brainliest!

What is the most common number that will appear when you roll a 2 dice?

Answers

Answer:

7 is the most common roll with two six-s

( I hope this helped <3 )

Answer:

7/8

Step-by-step explanation:

I think the most common are 7/8.

help plz! (a + b - c)(a + b + c) multiplying polynomials

Answers

Answer:

a^2 + 2ab + b^2 - c^2

Step-by-step explanation:

When you multiply all the terms together you get a^2 + ab + ac + ab + b^2 + bc - ac - bc - c^2. Then you can just combine like terms and simplify it to a^2 + 2ab + b^2 - c^2. Hope this helps :)

What type of correlation is shown by the graph?

Answers

Answer: Positive correlation

Step-by-step explanation:

As you go up and along the graph the values go up.

Both have to be increasing basically.

find the sum of the first 15 terms of the goemetric series 3+9+27

Answers

Answer:

Step-by-step explanation:

hello : here is an solution

The area of a rectangle is 42 square inches
and one side is 12 inches long. Find the perimeter of the rectangle. ​

Answers

Answer:

The perimeter is 31 inches

Step-by-step explanation:

The perimeter is the sum of all the sides.

The formula for the area of the rectangle is : [tex]length*width[/tex]

To work this out you would first need to divide the area of 42 by the length of 12, this gives you 3.5. This is because the formula for the area of a rectangle is length multiplied by the width, and so by dividing the area by 12 we are working out the perimeter of the missing side.

Now that we know the lengths of both sides we can begin working out the perimeter. You can do this by multiplying the lengths by 2. Multiply 12 by 2,which gives you 24. Multiply 3.5 by 2, which gives you 7.

The final step in calculating the perimeter would be to add the values of 24 and 7, this gives you 31. This is because the perimeter is sum of all of the lengths of a shape.

1) Divide 42 by 12.

[tex]42/12=3.5[/tex]

2) Multiply 12 by 2.

[tex]12*2=24[/tex]

3) Multiply 3.5 by 2.

[tex]3.5*2=7[/tex]

4) Add 7 and 24.

[tex]24+7=31[/tex]

Fred's art project involves a series of parallel stripes If he starts by drawing the line 8x + 2y = 7, select all the equations that could represent lines

that could also be drawn for his art project

A. y-1 = 4(X + 8)

B. y = -4x + 15

C. 16x + 4y = 9

D. y=-4X

E. 4x + 2y = 3

Answers

Answer:

B. y = -4x + 15

C. 16x + 4y = 9

D. y=-4X

Step-by-step explanation:

Two lines are parallel if they have the same slope. The equation of a line is:

y = mx + b

Where m is the slope and b is a constant.

So, the slope of the first equation can be calculated solving the equation for y as:

8x + 2y = 7

2y = - 8x + 7

y = -4x + 7/2

So, the slope is -4.

It means that all the equations that could represent lines  that could also be drawn for his art project are the equation with a slope equal to -4.

Then, for every option, we get:

A. y-1 = 4(X + 8)

     y = 4x +32 +1

   The slope is 4

B. y = -4x + 15

    The slope is -4

C. 16x + 4y = 9

    4y = -16x + 9

    y = -4x + 9/4    

    The slope is -4

D. y=-4X

    The slope is -4

E. 4x + 2y = 3

    2y = -4x + 3

      y = -2x + 3/2

   The slope is -2

Finally, the equations that are parallel to the line 8x + 2y = 7 are equations B, C and D

What is the volume of a box with a height of 3/2 inches, a length of 7/2 inches, and a width of 5/2 inches.

Answers

Answer:

13.125 cubic inches

Step-by-step explanation:

Volume of box is 3/2 X 7/2 X 5/2 = 105/8 = 13 1/8 = 13.125 cubic inches  

CAN SOMEONE PLS ANSWER THIS ILL REALLY APPREICIATE IT

Answers

The answer would be -2! :)
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