Model with mathematics. Abbi has decided to
offer a 2-hour computer gaming party for her
students. She can rent the student center for $45
per hour, and she can have the technology team set
up a network for up to 10 computers for a total of
$200 for the evening. Compose function p(x) such
that x is the number of students and p(x) is the
price per student for her to break even on the cost.
Note any appropriate restrictions on the domain x.

The constant proportion of the following data is 5.

Step-by-step explanation:

[tex] \frac{x}{3x - 1} \div \frac{x - 2}{2x} = \\ = \frac{x}{3x - 1} \times \frac{2x}{x - 2} = \\ = \frac{2 {x}^{2} }{3 {x}^{2} - 7x + 2} [/tex]

Answer:

Area of shaded region = 70.88 unit

Step-by-step explanation:

Given:

Height of shaded region = 12 units

Width of shaded region = 8 units

Find:

Area of shaded region

Computation:

Radius of semi circle = Width of shaded region / 2

Radius of semi circle = 8 / 2

Radius of semi circle = 4 unit

Area of shaded region = Area of rectangle - Area of Semi circle

Area of shaded region = [l x b] - [πr² / 2]

Area of shaded region = [12 x 8] - [(3.14)(4)² / 2]

Area of shaded region = 96 - [(3.14)(16) / 2]

Area of shaded region = 96 - 25.12

Area of shaded region = 70.88 unit

Answer:

300:15 = 100:5 = 20:1

Answer = 20:1

Answer:

3/4

Step-by-step explanation:

3/4 2/3

find the lcm of the denominators

which is 12

and divide

Answer:

q=0

Step-by-step explanation:

Hope this helped!!

the answer is 192

Step-by-step explanation:

q/32 = 6

q = 192

The given triangle is a right triangle and a scalene triangle.

A scalene triangle is a triangle with three different side lengths and three different angle measurements. The total of all internal angles, however, is always equal to 180 degrees. As a result, it satisfies the triangle's condition of angle sum.

It does not have equal sides. No equivalent angles exist. It lacks a symmetry line. No point symmetry exists. This triangle can have acute, obtuse, or right angles inside of it.

In the given triangle we see that one angle measure is 90 degrees thus, the triangle is a right triangle.

Also, all the sides of the triangle have different lengths. thus the triangle is also a scalene triangle.

Learn more about scalene triangle here:

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Answer:

x=1,y=4

Step-by-step explanation:

x=1,y=4

Answer:

Darlene's dog weighs 10 pounds.

Step-by-step explanation: 5 x 10 = 50 and 50 + 10 = 60 pounds.

Hope this helps.

Answer:

Six rational numbers between 3 and 4 are 3.1, 3.2, 3.3, 3.4, 3.5 and 3.6.

Answer:

six rational numbers between 3 and 4 are 227 , 237 , 247 , 257 , 267 , 277

Answer:

6 choices

Step-by-step explanation:

Step-by-step explanation:

6/5(4)=24/20

1/2(5)=5/10

3/9(7)=21/63

3/8(5)=15/40

4/3(9)=36/27

2/4(8)=16/32

9/6(2)=18/12

7/5(6)=42/30

4/7(3)=12/21

Answer:

Each playground will be 100 m2. Both playgrounds are 200 m2.

Area of square is defined by a × a.

a = length of side. In this case a is 10 m

So, Area = 10 m × 10m

Area = 100 m2 (square meters). This is the area of one playground.

Two playgrounds will be the double, 200 m2

Step-by-step explanation:

Answer:

One proportion is 15 songs / 2.5 hours = 18 songs / h hours.

ok I'll try to answer

first the given 15/2.5=18/h

so the second hour is missing so we have to multiply cross then the result will be

15h=45

divide 15 for 15 and we got h

again divide 45 for 15

[h=3]

Answer:

a?

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

when i have one fruit and you have another fruit and we add them together they are gonna b two

Answer:

35

Step-by-step explanation:

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Answer:

The building is 64.6 feet tall.

Step-by-step explanation:

To determine the height of the building, let the height from the top of the building to the top of the tripod be represented by x. So that;

Height of the building = x + 5

But,

Tan θ = [tex]\frac{opposite}{adjacent}[/tex]

Tan [tex]50^{o}[/tex] = [tex]\frac{x}{50}[/tex]

x = 50 x Tan [tex]50^{o}[/tex]

  = 50 x 1.1918

  = 59.59

x = 59.59

Height of the building = x + 5

                     = 59.59 + 5

                     = 64.6 ft

The height of the building is 64.6 feet.

Answer:

$120

Step-by-step explanation:

Set the cost of the article pre-tax as x.

x + 0.15x = 138

1.15x = 138

x = 138/1.15

x = $120

Answer: the cost of the article without  taxes is $120.

The required cost of the article without  taxes is $120.

Unit means 'single entity', the fundamental constructing block. Usually, it is 1 in mathematics and science.

Thus, unit price of something is price of 1 thing.

Thus, suppose we're taking about price of mangoes, then unit price will denote the price of 1 mango.

We have been given the cost of an article including 15% for taxes is $138.00.

Lets Set the cost of the article pre-tax as x.

x + 0.15x = 138

1.15x = 138

x = 138/1.15

x = $120

Therefore, the cost of an article including 15% for taxes is $138.00. the cost of the article without  taxes is $120.

Learn more about unit price here:

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Answer:

B.

Step-by-step explanation:

........................

Answer:

The answer is C.

Step-by-step explanation:

They don't explain how to find the total distance Candice ran.

Answer:

C

Step-by-step explanation:

Answer:

Step-by-step explanation:

Total number of rolls = 50

Number of times rolling a 6 = 8 times

Number of times not rolling a 6 = 50 -8 = 42

P(~6) = 42/50 = 0.84

Answer:

2. 10^38, or 10 to the power of 38.
3. 10^15, or 10 to the power of 15.

Step-by-step explanation:

2. If you are multiplying two individual 10's with each having its own power, add the powers together to form an answer. DO NOT ADD THE 10'S TOGETHER!!! Since 10^32 is being multiplied by 10^6, you would write it as 10^38.

3. Because you have 10 cubed inside the bracket, with an exponent of 5 outside of the bracket, you multiply the brackets together. DO NOT MULTIPLY 10!!! So, 5 x 3 equals 15, You would get 10^15.

Answer: thats a good question

Step-by-step explanation:

Answer: he will add 2/8 more so it can be full.

Step-by-step explanation: you divide 2/8 by 5/8 and you'll get 1/8.

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Answer:

Mean of sample means = 22.12

Step-by-step explanation:

Data points     1     2     3     4     5        Sample mean

Sample 1         21    10   19    35   23         21.6

Sample 2        34   44   29   15   30         30.4

Sample 3        38   22   29   31   15          27

Sample 4         47   39    20  16   36         31.6

[tex]Mean of means = \frac{Sum of sample means}{No. of samples}[/tex]

                         [tex]=\frac{21.6 + 30.4 + 27 + 31.6 }{5} \\= 22.12[/tex]

Answer:

22.12

Step-by-step explanation:

Hope this helps