The stadium has two tiers of spectator seats and VIP seats. The number of VIP seats is 1/12 of all seats. The ratio of the number of 1st tier seats to the number of 2nd tier seats is 7:5. If there are 600 VIP seats, how many 1st tier seats are in the stadium?​

Answer:

the middle one

Step-by-step explanation:

y/x

and so 6/8 = y/16

Answer:

[tex]\large\boxed{\textsf{ t = 484.}}[/tex]

Step-by-step explanation:

[tex]\textsf{We are asked to solve for the value of t. We should first begin with a review of}[/tex]

[tex]\textsf{what the \underline{Properties of Equality} are.}[/tex]

[tex]\large\underline{\textsf{What are Properties of Equality?}}[/tex]

[tex]\textsf{Properties of Equality are properties that allows us to manipulate an equation}[/tex]

[tex]\textsf{stating whenever a constant is added, removed, squared, square rooted... then}[/tex]

[tex]\textsf{both expressions will still show equality to each other.}[/tex]

[tex]\underline{\textsf{Example;}}[/tex]

[tex]\textsf{The Addition Property of Equality. This Property states that whenever a constant,}[/tex]

[tex]\textsf{or the same term is added to both sides of an equation, the equation remains}[/tex]

[tex]\textsf{equal. Say we were given this equation;}[/tex]

[tex]\tt a - 7 = 9[/tex]

[tex]\textsf{We would use the Addition Property of Equality to isolate a.}[/tex]

[tex]\textsf{This is done by adding 7 to both sides of the equation.}[/tex]

[tex]\tt a \ -\not{7} + \not{7} = 9 + 7[/tex]

[tex]\boxed{\tt a=16.}[/tex]

[tex]\large\underline{\textsf{For Our Problem;}}[/tex]

[tex]\textsf{We should use the Multiplication Property of Equality, which states that whenever}[/tex]

[tex]\textsf{both sides of the equation are multiplied by a constant, then they are still equal.}[/tex]

[tex]\textsf{Let's use the Multiplication Property of Equality to multiply both sides of the}[/tex]

[tex]\textsf{equation by 11 in order to remove the fraction.}[/tex]

[tex]\tt \frac{\not{11} \times t}{\not{11}} = 44 \times 11[/tex]

[tex]\underline{\textsf{We are left with our final answer;}}[/tex]

[tex]\large\boxed{\textsf{ t = 484.}}[/tex]

Answer:

t = 484

Step-by-step explanation:

[tex]\frac{44}{1} = \frac{t}{11}[/tex]

[tex]44*11 = 484[/tex]

Hence,  t = 484

[RevyBreeze]

Answer:

[tex]f(1) = 4[/tex]

Step-by-step explanation:

Solve:

-Chetan K

Answer:

1330

Step-by-step explanation:

Answer:

380

Step-by-step explanation:

40 percent of the amount invested is 380(Profit)

0.4 * 950 =380

[tex]\text{By the Pythagorean Theorem}\\c^2=6^2+8^2\\c^2=36+64\\c^2=100\\c=\sqrt{100} \\c=10[/tex]

Answer:

$28.00 x 25% = 7

$28.00 - 7 = $21,00

Step-by-step explanation:

c would be the answer ok

Answer:

[tex]\mathsf{height}=x^2+x-9[/tex]

Step-by-step explanation:

Volume of a cuboid = L x w x h

(where L is the length, w is the width and h is the height)

[tex]\implies \mathsf{height=\frac{volume}{width \times length} }[/tex]

Given:

[tex]\mathsf{volume}=3x^4-3x^3-33x^2+54x[/tex]

[tex]\mathsf{width}=x-2[/tex]

[tex]\mathsf{length}=3x[/tex]

[tex]\implies \mathsf{height}=\frac{3x^4-3x^3-33x^2+54x}{3x(x-2)}[/tex]

Factor expression for volume

Factor out common term [tex]3x[/tex]:  [tex]3x(x^3-x^2-11x+18)[/tex]

Factor [tex]x^3-x^2-11x+18[/tex]:  [tex]3x(x-2)(x^2+x-9)[/tex]

[tex]\implies \mathsf{height}=\frac{3x(x-2)(x^2+x-9)}{3x(x-2)}[/tex]

Cancel the common factors [tex]3x(x-2)[/tex]:  

[tex]\implies \mathsf{height}=x^2+x-9[/tex]

Answer:

5 pounds

Step-by-step explanation:
$70 - $32.55 = 37.45
37.45 ÷ 7.49
= 5

Answer:

12.5%

Step-by-step explanation:

105 is what percent of 120?

you can use this proportion:

if/of = %/100

in this problem:

is = 105

of = 120

'what percent' = p/100

105/120 = p/100

cross-multiply to get:

120p = 10500

p = 10500/120

p = 87.5

So the electrician used 87.5%, out of 100%, meaning 12.5% went unused

Answer:

The percent of the wire that went unused was 15%.

Step-by-step explanation:

You can set up these equations:

Turn 15% into 0.15

12.5% into 0.125

8.75% into 0.0875

7% into 0.70

Now, the number of wire unused is 15. Since 120 - 105 = 15. So, we can set up these equations to see which percentage it was that got unused:

0.15 x 120 = 18

0.125 x 120 = 15

0.0875 x 120 = 10.5

0.70 x 120 = 84

So, the answer is 15%.

Answer:

The lake frontage of lot A is 50.9yd

The lake frontage of lot B is 58.4yd

The lake frontage of lot C is 64.7yd

d) The prices of the other lots, from least to greatest, are  286,836.94 and  317,779.96

Step-by-step explanation:

Answer:

  x ≈ 34.9

Step-by-step explanation:

x is the hypotenuse of the triangle, for which one leg is given. Either the sine or the cosine relation can be used. We choose to use the cosine relation:

  Cos = Adjacent/Hypotenuse

  cos(53°) = 21/x

  x = 21/cos(53°) ≈ 34.9

Answer:

A) [tex]14.9[/tex]

Step-by-step explanation:

[tex]0.3r-4.9\\\\0.3(66)-4.9\\\\19.8-4.9\\\\14.9[/tex]

Answer:

14.9

Step-by-step explanation:

It's simple. Just replace the r with 66.

Answer:

Rs. 7200

Step-by-step explanation:

Let the cost price be Rs. [tex]x[/tex]

Then we have:

[tex]x(1+20\%)=8640\\1.2x=8640\\x=7200[/tex]

Answer:

Reduction

Step-by-step explanation:

In this problem, there are 2 triangles: the solid lines represent the preimage and the dotted lines represent the image. All of the vertices of the dotted lines are inside the solid line. This means that the preimage is larger than the image. If the preimage is larger, then a reduction has occurred.

There are 2 ways to tell that this is a reduction. The simplest is to just say that the image is inside the preimage and therefore smaller. More mathematically, you could also see that all of the coordinate pairs are closer to the origin by a scale factor of 2/3. Thus, the triangle must be smaller and reduced.

Answer: B

Step-by-step explanation:

Answer:
its B.

Step-by-step explanation: just take half off the numbers, and then you have your answer. simple.

Leo should buy the shoes from the store Z, as store Z has the best selling price of $28. Statement 2 is true.

Percentage of a number is the part of the number expressed in the in every hundred. Percentage of a number is expressed with the symbol '%'.

Leo wants to buy some shoes. He found the shoes at three different stores for a price of $35.

The final price of store X-

As store X is offering 15% off the price of the shoes and the price of shoes is $35. Thus the selling price of store X is,

[tex]P_x=35-35\times\dfrac{15}{100}\\P_x=35-5.25\\P_x=29.75[/tex]

As store Y is offering $5 off the price of the shoes and the price of shoes is $35. Thus the selling price of store Y is,

[tex]P_y=35-35\times\dfrac{5}{100}\\P_y=35-1.75\\P_y=23.25[/tex]

As store Z is offering a 1/5 discount off the price of the shoes and the price of shoes is $35. Thus the selling price of store Z is,

[tex]P_y=35-35\times\dfrac{1}{5}\\P_y=35-7\\P_y=28[/tex]

Thus, Leo should buy the shoes from the store Z, as store Z has the best selling price of $28. Statement 2 is true.

Learn more about the percentage here;

https://brainly.com/question/24304697

Given radius: [tex]3x^9 y^{11}[/tex]

Formula for area: πr²

Area of circle:

( [tex]\pi 3x^9 y^{11}[/tex] )²

[tex]\pi 3^2x^{9*2 }y^{11*2}[/tex]

[tex]9\pi x^{18}y^{22}[/tex]

Answer: [tex]9\pi x^{18}y^{22}[/tex]

Formula for area: [tex]\pi {r}^{2} [/tex]

Area of circle:

[tex](\pi3 {x}^{9} {y}^{11} {)}^{2} [/tex]

[tex]\pi {3}^{2} {x}^{9}{ \times }^{2} {y}^{11} { \times }^{2} [/tex]

[tex]9\pi {x}^{18} {y}^{22} [/tex]

Answer:

4. A rectangle is a square

Step-by-step explanation:

A rectangle can be a square, but not always. A rectangle has 2 pairs of parallel sides, 2 pairs of congruent sides, and 4 right angles. Squares have 2 pairs of parallel sides, 4 congruent sides, and 4 right angles. So, the difference between the two is that adjacent sides are not necessarily congruent in rectangles, but they are in squares. This means that some rectangles can be a square. If a rectangle has all congruent sides, then it is a square. On the other hand, some rectangles do not have all congruent sides, and thus are not squares.

Answer:

MY ANSWER IS THIS. IS. A. QUIZ.

Step-by-step explanation:

The cost of the apples is a function of their weight is true about the functional relationship shown in the graph. Correct option is c.

In the graph, the horizontal axis represents the weight (in pounds) of the apples, and the vertical axis represents the cost (in dollars) of the apples. As the weight of the apples increases, the cost also increases. This relationship shows that the cost of the apples is dependent on their weight, making it a functional relationship of "cost as a function of weight."

To know more about functional relationship:

https://brainly.com/question/29206785

#SPJ2

Answer:

A) 20

Step-by-step explanation:

[tex] |(12 + 8) \div 2| \times 2 \\ |20 \div 2| \times 2 \\ 10 \times 2 \\ 20[/tex]

Answer:

3

Step-by-step explanation:

sorry i cant answer it wont let me

Answer:

2^18

Step-by-step explanation:

Every true or false question can be either answered true / false (2 options)
So, there are 2.2.2.2.2... (2^18) ways to answer if a student answers every question.

Answer:

About 63,617 ft²

Step-by-step explanation:

[] The area of a circle is equal to πr²

π(225)² ≈ 159,043

[] To find 40%, we can multiply our whole by 40%

-> 40% divided by 100, 0.4, becomes a decimal

159,043 * 0.4 = 63,617

-> Don't forget to add on the units once you are done, this problem was done in feet, since it is an area we used feet squared

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly.

- Heather

Answer:

sorry for being late, here is the answers :)!

Answer:

2y-6=x >>> Y= 1/2x+3

-x+(1/2)y=3 >>> Y=2x+6

2x+y=3 >>> Y=-2x+3

x-3y=-6 >>> Y=(1/3)x+2

Step-by-step explanation:

Hope this helps! :)

Answer:

2n³ - 3n² - 7n + 3

Step-by-step explanation:

Hi there! Don't worry, polynomials seem hard but you will get them with practice.

I am going to show you 2 methods of multiplying polynomials. These methods are universal, or they work with any polynomial multiplication problem:

This is perhaps the most common method. You distribute 1 value to another or multiply each and every single term.

Let's solve it!

Now, we add up like terms. Like terms should have the same coefficient and should be raised to the same power.

There you have it! This is how you solve with The distributive Property Method.

This is the next universal method, Area modeling.

Area models can be set up by the number of terms we have. In the first polynomial we have three terms:

Just for this method, keeping the positive signs helps.

For the binomial, we have two terms (hence, binomial)

We set up our are model like this, with the terms laid out as side lengths of a rectangle.  (Attachment "A")

Next, we find the area of each individual tile.  (Attachment "B")

Now, we add like terms. Something nice about area models is that most of the time, the like terms are matched up in a diagonal.  (Attachment "C")

We end up with the same answer as before.

-Chetan K

Answer:

[tex] \frac{12 + x}{4(x + 3)} [/tex]

Step-by-step explanation:

hopes this helps

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