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.

Answer:

The area of smaller sector is:

S = pi x 8^2 x 80/360 = 44.68 m2

Hope this helps!

:)

Answer:

84 Square Inches.

Area = Side length x Side length

Look at the attached picture

Hope it will help you

Answer:

[tex]9 \dfrac12 m^2[/tex]

Step-by-step explanation:

Tanya has a garden with a trench around it.

Tanya's garden is a rectangle with length [tex]\dfrac12 \text{m}[/tex] and width 2m.

The trench and garden together make a rectangle with length [tex]3 \dfrac12 \text{m}[/tex] and width 3m.

We are to determine the area of just the trench.

Area of just the trench = Area of the trench and garden together-Area of the garden

[tex]=(3 \dfrac12 X 3)-(\dfrac12 X 2)\\\\=( \dfrac72 X 3)-1\\\\=\dfrac{21}{2}-1\\\\=9 \dfrac12 m^2[/tex]

The area of the trench is [tex]9 \dfrac12 m^2[/tex]

Answer:

(C)x=11.6, y=23.2

Step-by-step explanation:

Using Theorem of Intersecting Secant and Tangent

[tex]TQ$ X TP=TR^2[/tex]

[tex]10(10+x+4)=16^2\\10(14+x)=256\\140+10x=256\\10x=256-140\\10x=116\\$Divide both sides by 10\\x=11.6[/tex]

Next, we apply Theorem of Intersecting Chords

PV X VQ=SV X VR

4 X x= 2 X y

Recall: x=11.6

2y=4 X 11.6

2y=46.4

y=46.4/2=23.2

Therefore: x=11.6, y=23.2

The correct option is C

Hey there! I'd be delighted to help you out!

First, let's write down our expression!

[tex](x^2-x)+(8x-2x^2)[/tex]

When we look at this expression, we see that all of the numbers are terms, or numbers that are added. We have four terms in this equation, which are:

[tex]x^2, -x, 8x, -2x^2[/tex]

Now, to simplify, we want to combine like terms. Like terms are numbers that have the same variable (or no variable) and are raised to the same power. 1 and 5 are like terms because they both have no variable and they are both raised to the power of 1 (any number that is itself is raised to this power). 4x and 12x are like terms because they both have an x and a power of 1. 4y and 5x are not like terms because they have different variables. 4x³ and 2x² are not like terms because they are raised to different powers.

Now, we see that  with our numbers, x² and -2x² are like terms, and -x and 8x are also like terms. We can combine accordingly.

[tex]x^2-2x^2=-x^2\\\\-x+8x=7x[/tex]

Now we combine to get our simplified expression!

[tex]-x^2+7x[/tex]

I hope that this helps! Have a wonderful day!

Answer: Convert the mixed numbers to improper fractions, then find the LCD and combine.

Exact Form: −37/4

Step-by-step explanation:

Answer:

$39

Step-by-step explanation:

We can solve this by finding 40% of $60 and the tax which is 5% of $60. We'll get 36 and 3. Add these up and you have an answer.

Have a great day!

Answer:

8 inches

Step-by-step explanation:

A=h  /2

Solving for hb

hb= 2 A /b =2 × 160 /40 = 8 inch

( / means fraction line

Answer:

10 > v (if you don't trust me, check it yourself. Subsitute v for 10 in the first equation.

Step-by-step explanation:

1) 7 > v - 3

2) add 3 to both sides

3) so 7 plus 3 equals 10

So you basically do this

7 > v - 3 (ad 3 to both sides)

You get 10 > v (which is as simplified as possible)

Hope this helps! :)

Answer:

x = 240

A = 30 m, B = 60 m, C= 90 m

Step-by-step explanation:

a) Nosotros debemos determinar un numero;

para cual [tex]\dfrac{1}{4}x = 60[/tex]

[tex]0.25 x = 60[/tex]

Divide ambos lados entre 0.25; tenemos :

[tex]\dfrac{0.25 x}{0.25}= \dfrac{60}{0.25}[/tex]

x = 240

b) A 180 m se corta en tres piezas A, B y C

Entonces;

Si la pieza B y la pieza C miden el doble y el triple de esa pieza A, respectivamente. Entonces; tenemos

x + 2x + 3x = 180

6x = 180

Divide ambos lados entre 6; tenemos:

[tex]\dfrac{6x}{6} = \dfrac{180}{6}[/tex]

x = 30 m

Si A = x = 30 m

B = 2x = 2×30 m = 60 m

C = 3x = 3×30 m = 90 m

Así; A = 30 m, B = 60 m, C= 90 m

Answer:

2+2 is 4 quick math

Step-by-step explanation:

Answer:15

Step-by-step explanation:

Because you do the distance equation

Answer:

Paris F, Abraham Lincoln belongs to none of these sets, and The Eiffel Tower is in more than one of these sets

Step-by-step explanation:

Answer:

A,D,E

Step-by-step explanation:

Answer:

B, C.

Step-by-step explanation:

B, because you're multiplying them all, which is what you would do in the normal formula. You would get 255/16, or 15.9375.

C, since you would also get 255/16.

Please tell me if im wrong! im only a student .m.

Answer:

(x,y) = (-6,-5)

Step-by-step explanation:

If you need the explanation let me know.

Answer:

x = -6

y = -5

Step-by-step explanation:

5x - 4y = -10

5x - 5y = -5

__________--

y = -5

5x - 4y = -10

5x - 4(-5) = -10

5x + 20 = -10

5x = -10 - 20

5x = -30

x = -30/5

x = -6

Answer:

The total number of cupcakes that Natalie dropped is 7.

Step-by-step explanation:

This question can be solved using a rule of three.

The amount of cupcakes that she has, which is 20, is 100% = 1. How many cupcakes is 35% = 0.35?

20 cupcakes - 1

x cupcakes - 0.35

x = 20*0.35 = 7

The total number of cupcakes that Natalie dropped is 7.

Answer:

$858.02

Step-by-step explanation:

Take $788.99 times 8.75% = 69.03 this is the amount of tax

Add 788.99 and 69.03 = 858.02

Answer:

the answer would be $858.03

Answer:

1%

Step-by-step explanation:

Answer:

9.958

Step-by-step explanation:

The thousandths spot is where the 8 is so you round 8 with the number behind it 1. Since 1 is below 5, you keep 8 the same and get rid of the 1.

Answer:

9.958

Step-by-step explanation:

find the number in the thousands place, 8 and then look 1 place to the right for the rounding digit 1. Round up if this number is greater than or equal to 5 and round down if it is less then 5.

Answer:

C y=3x

Step-by-step explanation:

1 x 3 = 3

2 x 3 = 6

3 x 3 =9

Answer:

C. Y=3x i believe

Step-by-step explanation:

hope this helps

Answer:

The answer is 2/6 .

Step-by-step explanation:

In order to make the denorminator the same, you have to multiply both numerator and denorminator by 2 :

[tex] \frac{1 \times 2}{3 \times 2} [/tex]

[tex] = \frac{2}{6} [/tex]

Question:

Gabriel started to calculate the area of the triangle. His work is shown.

A = 1/2 bh=1/2 (1/2) (3/4)

A triangle has a base of three-fourths inch and a height of one-half inch

What is the area of the triangle?

The area of the triangle is ___in.²

Answer:

Area of the triangle = [tex] \frac{3}{16} inch^2 [/tex]

Step-by-step explanation:

We are given the dimensions of the triangle as:

Base, b = ¾ inch

Height, h= ½ inch

To find the area of the triangle, let's use the formula :

Area of a triangle = ½base *height

Solving further, we have:

Area of a triangle = [tex] \frac{1}{2}*\frac{3}{4} * \frac{1}{2} = \frac{3}{16} [/tex]

Area of the triangle = [tex] \frac{3}{16} inch^2 [/tex]

Answer:

2.56 and -1.56

Step-by-step explanation:

Using the quadratic formula you can plug in each term (a,b and c) and come to 1 ± sqrt(17)/2. Rounding to the nearest hundredth, this comes out to 2.56 and -1.56. Hope that helps :)

Answer:

2x/15 dollars.

Step-by-step explanation:

Each person receives

(14 *x^2 / 15 ) / 7x

= 2 x^2 / 15x

= 2x/15 dollars.

Answer: C

Step-by-step explanation: I chose this answer because in 8th graders, their mean is 6 and their range is 9, that’s a difference of 3. But in 4th graders, their mean is 5 and their range is 6, so there isn’t much of a difference for 4th graders. The answer couldn’t be A, B, or D so I came to the conclusion that it’s C. (Sorry if this explanation doesn’t make sense but I hope I got the right answer.)

The true statement is  the word length varies more in the 8th grade book than the 4th grade book.

Mean is a measure of central tendency. It is the average of a set of values. For example, if the numbers in a data set are 3,2,10, the mean is (3 + 2 + 10) /3 = 5

Range is the highest number less the least number in a data set. For example, if the numbers in a data set are 3,2,10, the range is 10 - 2 = 7

The mean word length for the fourth grade book is 5. While, the mean word length for the eighth grade book is 6. This means that on average, the average word length of the eighth grade book is greater than the mean word length for the fourth grade book

The range word length for the fourth grade book is 6. While, the range word length for the eighth grade book is 9. These means that either the longest word in the eighth grade book is more than that of the fourth grade book or that the smallest word in the eighth grade book is less than than that in the fourth grade book. This means that the  word length varies more in the 8th grade book than the 4th grade book.

To learn more about mean, please check: https://brainly.com/question/12528427?referrer=searchResults

Answer:

4

Step-by-step explanation:

A rectangle has a shorter side and a longer side.

The longer side is called the length and the shorter side is called width.

with the 24 tiles you can make the following rectangles (consider the first number the length and the second number the width, and that each unit represents a tile):

24 x 1

12 x 2

8 x 3

6 x 4

A total of 4 different rectangles.

I am not counting the rectangles than have the same sides shifted, for example 2 x 12 because it is the same as 12 x 2 and we are asked for the rectangles to be different.

I attache an image of the sketch of each rectangle with the labels of length and width (not to scale).

Answer:

12

Step-by-step explanation:

because 7x2 is 12

Answer:

3n+7

Step-by-step explanation:

Let's say the variable n stands for how many recyclable bottles Natasha collected.

Enrique collected 7 more than double of what Natasha has.

SO

2n+7

We also need to include Natasha's share

(2n+7) + n

OR 3n+7

Answer:

Mal starts with 350 dollar

Each week she adds $30.

W is number of weeks Mal adds money.

S is total amount of money in her account.

=> S =30W + 350

After W = 19 weeks, Mal will have 30 x 19 + 350 = 920 dollar