Aliyah wants to evenly separate her super bouncy balls among 8 of her
friends. Write an expression to show how many super bouncy balls Aliyah
has, s. Help! Will mark as brainliest!!!!!

Answer:

49

Step-by-step explanation:

Let there be x students in the class.

Since, donation by each student is equal to the number of students in the class.

So,

Total donations = 2401

\(x \times x = 2401 \\ \\ {x}^{2} = 2401 \\ \\ x = \pm \sqrt{2401} \\ \\ \pm \: 49 \\ \\ \because \: x \: can \: not \: be \: - ve. \\ \\ \therefore \: x = 49\)

Thus, the number of students in the class = 49

The government agency as a monopolist will produce and sell internet connections up to the point where the marginal cost is 1/2. The price will be set at 1, given the perfectly elastic demand function.

In the scenario where a government agency has a monopoly in the provision of internet connections and the inverse demand function is given by p = 1, we can analyze the market equilibrium and the implications for pricing and quantity.

The inverse demand function, p = 1, implies that the market demand for internet connections is perfectly elastic, meaning consumers are willing to purchase any quantity of internet connections at a price of 1. As a monopolist, the government agency has control over the supply of internet connections and can set the price to maximize its profits.

To determine the optimal pricing and quantity, the monopolist needs to consider the marginal cost of providing internet connections. In this case, the marginal cost is given as 1/2. The monopolist will aim to maximize its profits by equating marginal cost with marginal revenue.

Since the inverse demand function is p = 1, the revenue received by the monopolist for each unit sold is also 1. Therefore, the marginal revenue is also 1. The monopolist will produce up to the point where marginal cost equals marginal revenue, which in this case is 1/2.

As a result, the monopolist will produce and sell internet connections up to the quantity where the marginal cost is 1/2. The monopolist will set the price at 1 since consumers are willing to pay that price.

For more such question on monopolist. visit :

https://brainly.com/question/28336090

#SPJ8

A transformation would accomplish this include the following: C. a rotation 180° counterclockwise about the origin.

In Mathematics and Geometry, the rotation of a point 180° about the origin in a clockwise or counterclockwise direction would produce a point that has these coordinates (-x, -y).

Furthermore, the mapping rule for the rotation of a geometric figure 180° counterclockwise about the origin is given by this mathematical expression:

(x, y)                                            →            (-x, -y)

Coordinates of point X (0, 4)  →  Coordinates of point Y = (0, -4)

Coordinates of point X (1, 3)  →  Coordinates of point Y = (-1, -3)

In conclusion, we can logically deduce that this transformation rule (x, y) → (-x, -y) would map Figure X onto Figure Y.

Read more on rotation here: brainly.com/question/28515054

#SPJ1

Answer:

Step-by-step explanation:

Just multiply the denominator just that  1/9 divided by 3 is 1 /27 your welcome have a good day :)

Answer:

\(\frac{1/9}{3/1}=\) \(\frac{1}{27}\)

Step-by-step explanation:

\(skip:\) \(\frac{1}{9}\)

\(flip:\) \(\frac{3}{1} = \frac{1}{3}\)

\(Equation Now: \frac{1/9}{1/3}\)

\(Multiply: \frac{1}{9}*\frac{1}{3}=\frac{1}{27}\)

\(Answer=\)\(\frac{1}{27}\)

Answer:

the answer is, Y= -27/64

Answer:

1. 27/9=3+9=12

2. 4+5x3=5x3=15+4=19

3. -9+-4=-13

4. 9--5=14

Answer:

33/24  or 11/8, or  1 9/24 or 1 3/8

Step-by-step explanation:

you have to find a common denominator between the two fractions. The least common denominator for 9 and 8 is 24. Since you multiply 9 by 3 to get 24, you multiply 5 by 3 and get 15. You now have the fraction 15/24. Since you multiply 8 by 3 to get 24, you also multiply 6 by 3, which is 18. You now have the fraction 18/24. You add 15/24 and 18/24, and you get 33/24, which can be simplified to 11/8. It can be shown as 1 9/24 as a mixed number, and simplified to 1 3/8.

Answer:

Explanation:

Using the graph of both equations, we want to get the correct option

We start by making a plot of the two on same axes

We have the plot of the functions as follows:

Now, let us take a look at the options:

a) This is wrong. The functions have two intersection points

b) This is incorrect. They have equal y-intercepts at y = 2

c) This is correct. The quadratic function have a greater maximum

Answer:

I think its C

Step-by-step explanation:

The important variables are the two types of test questions which can be represented as :

Variables are used to represent unknown values which could be worked out in a mathematical expression or problem.

The variables or unknown in this case are the type of test questions. which are : m for multiple choice, s for short answer

Therefore, the correct option is C. m for multiple choice, s for short answer

Learn more on word problems:https://brainly.com/question/25693822

#SPJ1

Answer:

  2x -3

Step-by-step explanation:

Given a rectangle with area 2x²+x-6 and one dimension x+2, you want the other dimension.

The area of a rectangle is the product of its length and width. Given the area and the width, we can solve for the length:

  A = LW

  A/W = L

So, the missing dimension is the quotient of (2x²+x-6) and (x+2). In the attached, we find that quotient by synthetic division.

The missing dimension is 2x -3.

__

Additional comment

You can also use any of several methods to factor the area expression. We recognize that numbers of interest will be factors of (2)(-6) that total +1. Those would be -3 and +4. Then we can write ...

  A = 2x² +x -6 = (2x -3)(2x +4)/2 = (2x -3)(x +2)

We recognize the factor (x+2) as the given dimension, so the missing dimension is (2x -3).

Answer:

c

Step-by-step explanation:

Answer:

(a) 44%

(b) 32%

Step-by-step explanation:

(a) In order to find the percentage of students that prefer comedies, we can add up divide the sum of the total number of students who prefer comedies (Twice/month or less + Thrice/month or more) by the total number of students.  

Then, we can multiply this number by 100 to find the percentage:

\((\frac{45+21}{150})*100\\ (\frac{66}{150})*100\\ 44\)

(b) To find the percentage of students who visit the movies three times a month or more, we can divide the sum of the total number of students who visit the movies three times a month or more by the total number of students.

Like before, we can multiply this number by 100 to find the percentage:

\((\frac{21+27}{150})*100 \\(\frac{48}{150})*100\\ 32\)

Answer:

\(2x + 14 = 5\)

Step-by-step explanation:

\( \frac{1}{4} (8x + 56) = 20 \\ \frac{8}{4} x + \frac{56}{4} = \frac{20}{4} \\ 2x + 14 = 5 \\ need \: brainliest\)

Answer:

1/4(8x+56)=20

8x+56=20×4

8x=80-56

x=24/8

x=3

Answer:

y = 2x - 5

Step-by-step explanation:

\(y+3=2(x-1)\\y+3=2x-2\\y+3-3=2x-2-3\\y=2x-5\)

The only true statement about the domain of the given function is:

B. f(x) is negative for all x < -5

The domain of a function is defined as the set of values that we can possibly plug into our function. This set is the x values in a function such as f(x).

Now, we are given the function as:

f(x) = \(\frac{2}{x^{2} } + 3x - 10\)

When x < -5, we have:

f(-4) = \(\frac{2}{(-4)^{2} } + 3(-4) - 10\)

f(-4) = -21.875

This suggests that for all values below x = -5 will result in negative values

When x > 2

f(3) = \(\frac{2}{3^{2} } + 3(3) - 10\)

f(3) = -0.78

Thus, it will get positive for higher values but it can also be negative as seen here.

Read more about Domain of Function at: https://brainly.com/question/10197594

#SPJ1

Answer: 4000

Step-by-step explanation:

Number of seats in each row is 51 given that a rectangular auditorium seats 2244 people and number of seats in each row exceeds the number of rows by 7. This can be obtained by assuming the value of number of seats in each row, forming quadratic equation and using quadratic formula to find root.

Here in the question it is given that,

We have to find the number of seats in each row.

Let us assume that the number of seats in each row be x.

From the given statement, number of seats in each row exceeds the number of rows by 7, we can write that,

Number of seats in one row = Number of rows + 7

x = Number of rows + 7

⇒ Number of rows = x - 7

Total number of seats in the auditorium can be written as,

⇒ (Number of seats in one row)(Number of rows) = Total number of seats

(x)(x - 7) = 2244

x² - 7x = 2244

⇒ x² - 7x - 2244 = 0

By using quadratic formula we can find the root,

x = (-b ± √b² - 4ac)/2a

here in the question, a = 1, b = -7, c = -2244

√b² - 4ac = √(-7)² - 4(1)(-2244)

√b² - 4ac = √49 + 8976

√b² - 4ac = √9025

√b² - 4ac = 95

x = (-b ± √b² - 4ac)/2a

x = (7 ± 95)/2

x = 102/2 or x = -88/2

⇒ x  = 51 or x = -44

Hence number of seats in each row is 51 given that a rectangular auditorium seats 2244 people and number of seats in each row exceeds the number of rows by 7.

Learn more about quadratic formula here:

brainly.com/question/26926523

#SPJ9

Answer:

a) the sides lengths are proportional

b) 6

c) 2/4 = .5  3/6 = .5

D) 1/2  Change in y over change in x.

Step-by-step explanation:

Answer:

The answer is 132 square units

Step-by-step explanation:

Cutting the shape

we have two trapeziums

A=(area of small +Area of big)Trapezium

A=1/2(3+9)8 + 1/2(9+12)8

A=1/2×12×8 + 1/2×21×8

A=12×4 + 4×21

A=48+84

A=132 square units

The interest rate required to get a total amount of $40,000.00 from compound interest on a principal of $25,000.00 compounded continuously over 7 years is 6.714% per year.

Compound interest is the interest calculated on the principal and the interest accumulated over the previous period. It is different from simple interest, where interest is not added to the principal while calculating the interest during the next period.

Compound interest is the interest paid on both principal and interest, compounded at regular intervals. At regular intervals, the interest so far accumulated is clubbed with the existing principal amount and then the interest is calculated for the new principal. The new principal is equal to the sum of the Initial principal, and the interest accumulated so far.

Compound Interest = Interest on Principal + Compounded Interest at Regular Intervals.

The formula to solve this problem is given as

A = Pe^rt

40000 = 25000e^r*7

r = ln(A/P) / t

r = ln(40,000.00/25,000.00) / 7

r = 0.0671434

Then convert r to R as a percentage

R = r * 100

R = 0.0671434 * 100

R = 6.714%/year

Learn more on compound interest here;

https://brainly.com/question/2455673
#SPJ1

Answer:

B.5

Step-by-step explanation:

Answer:

Step-by-step explanation:

Due to similarity in Tri ABC and ADE so,

\(\frac{AD}{AB} =\frac{DE}{BC} =\frac{AE}{AC}\)

\(AE=28.2*\frac{20}{24} =23.5cm\)

\(EC=AC-AE =28.2-23.5=4.7cm\)

Answer:

Step-by-step explanation:ni

Answer:

Make the -4 exponent in the denominator positive.

Answer:

1456!!!!!!!!!!!!!!!

Step-by-step explanation:

5824 ÷ 4 = 1456

Answer: 1,456!

Step-by-step explanation: divide  5,824 ÷ 4 = 1456

Answer:

Step-by-step explanation:

Hello,

\(h(g(x))=h(3x+2)\\ \\=-5\times (3x+2)+1\\\\=-15x-10+9\\\\=-15x-1\)

Thanks