A salesperson is paid an 8.25% commission on sales when the invoice is
pald. This month's paid invoices totaled $49,900. What is the salesperson's
commission for this month?

6 tables are required. Each prime number attender should serve 3 customers each.

The prime numbers between 1 and 100 are: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97.

All the numbers other than prime numbers are composite numbers.

The composite numbers from 1 to 100 are: 1, 4, 6, 8, 9, 10, 12, 14, 15, 16, 18, 20, 21, 22, 24, 25, 26, 27, 28, 30, 32, 33, 34, 35, 36, 38, 39, 40, 42, 44, 45, 46, 48, 49, 50, 51, 52, 54, 55, 56, 57, 58, 60, 62, 63, 64, 65, 66, 68, 69, 70, 72, 74, 75, 76, 77, 78, 80, 81, 82, 84, 85, 86, 87, 88, 90, 91, 92, 93, 94, 95, 96, 98, 99, 100.

Now, as there are 25 primes and 75 composites in the group that visited the restaurant, we can calculate the number of tables required by dividing the number of people by the seating capacity of each table.

Each table has a seating capacity of 15, so the number of tables required will be: Number of tables = (Number of customers)/(Seating capacity of each table)Number of customers = 25 (the number of primes) + 75 (the number of composites) = 100Number of tables = 100/15 = 6 tables

Therefore, 6 tables are required.

Now, as each prime number attender has to serve an equal number of customers, we need to calculate how many customers each one should serve.

Each prime attender has to serve 75/25 = 3 customers each, as there are 75 composites and 25 primes.

Thus, each prime number attender should serve 3 customers each.

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The speed of the freight train is 30 mph, and the speed of the passenger train is 30 + 8 = 38 mph.

We have,

Let's denote the speed of the freight train as x mph.

Since the speed of the passenger train is 8 mph faster, we can denote the speed of the passenger train as (x + 8) mph.

To find the speeds of each train, we can use the formula:

Speed = Distance / Time

For the passenger train: (x + 8) = 280 / t, where t is the time taken to travel 280 miles.

For the freight train: x = 240 / t, where t is the time taken to travel 240 miles.

Since the times taken for both trains are the same, we can set the two equations equal to each other:

(x + 8) = 280 / t = x = 240 / t

Cross-multiplying the equation, we have:

(x + 8) t = x (280 / t)

xt + 8t = 280

xt - x = 240

Simplifying the equation, we get:

xt - x = 240

x(t - 1) = 240

Dividing both sides by (t - 1):

x = 240 / (t - 1)

Substituting the value of x in the first equation:

(x + 8) = 280 / t

240 / (t - 1) + 8 = 280 / t

Simplifying the equation, we get:

240t + 8(t - 1) = 280(t - 1)

240t + 8t - 8 = 280t - 280

248t - 8 = 280t - 280

280 - 8 = 280t - 248t

272 = 32t

t = 272 / 32 = 8.5

Substituting the value of t in the equation for x:

x = 240 / (t - 1) = 240 / (8.5 - 1) = 30

Therefore,

The speed of the freight train is 30 mph, and the speed of the passenger train is 30 + 8 = 38 mph.

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Step-by-step explanation:

√2x² + 7x +√2=0

2x + 7x + √ 2 =0

√2=9x

x = o.15713484

The figure is indeed symmetric and the number of lines of symmetry the snowflake has is C. Yes; 6 lines of symmetry.

Generally a snowflake is hexagonal and has 6-way radial symmetry. Thus, one can rotate it 60 degrees (the sixth of full rotation) and it still appears the same.

So, overall, this means that a snowflake holds 6 lines of symmetry which divide it into two identical halves reflecting each other. Consequently, it can be rotated in 60-degree increments and still holds identicality. Akin to this final property, the snowflake artifact possesses six uniquely divided

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16 avocados costs = $8, 20 avocados costs = $10 and 9 avocados costs = $4.5

The amount of money that a company spends on the creation or production of goods or services.

Given that, Eight avocados cost $4.

Therefore, each of them costs = 4/8 = 1/2

So, 16 avocados = 16*1/2 =$8

20 avocados = 20*1/2 =$10

9 avocados = 9*1/2 =$4.5

Hence, 16 avocados costs = $8, 20 avocados costs = $10 and 9 avocados costs = $4.5

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Answer:

a

Step-by-step explanation:

Answer:

9.26 per quart

Step-by-step explanation:

A 3-gallon bucket of paint costs $111.12.

  Find the price of per quart.

3 gallons equal 12 quarts. We divide 111.12 for 12 quarts by 12:

111.12 / 12 = 9.26

Answer:

it is a since using the pythagoras theorium the brainly bahahaha

Answer:

Equation: y= -3/4x+15/2

Step-by-step explanation:

The points given: (-2,9) and (2,6)

Slope ,m=y2-y1/x2-x1=6-9/2-(-2)= -3/(2+2)

slope ,m= -3/4

Equation: y-y1=m(x-x1)

Equation: y-6= -3/4(x-2)

y-6= -3/4x+3/2

y= -3/4x+3/2+6

y= -3/4x+15/2

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Answer:

-3x^2+17x-1

Step-by-step explanation:

The amount of hot chocolate served daily is inversely correlated with the temperature of the city, with more cups being sold once the temperature is between 40 and 50 F.

When two variables change in tandem, the relationship is said to be direct. The variable y increases as the variable x increases. A linear relationship denoted by the equation y = kx is directly proportional.

There is a direct correlation between a circle's radius and area, meaning that when the radius is increased or decreased, the area correspondingly changes. If one variable increases while the other declines or vice versa, the relationship between the two variables is inverse.

For given question-

Jordan created the graph below to illustrate the correlation between a city's temperature and the daily sales of hot chocolate.

As we can see that - when the temperature increases the demand for the ice cream also increases which is the direct relation.

Thus, the amount of hot chocolate served daily is inversely correlated with the temperature of the city, with more cups being sold once the temperature is between 40 and 50 F.

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The diagram for the question is attached:

Answer:

y = 4x - 7

Step-by-step explanation:

Slope = 4 ; x1 = 2 , y1 = 1

Slope point form: y -y1 = m(x -x1)

y - 1 = 4(x - 2)

y - 1 = 4x - 2*4

y -1 = 4x - 8

   y = 4x - 8 +1

  y = 4x - 7

Answer: 80 ft squared

Step-by-step explanation:

For the square, the formula is base times height which, in this case, are both 8. 8 x 8 = 64. Next, the triangle below is (8 x 4)/2 because the formula for a triangle is base x height divided by 2. 8  x 4 = 32 divided by 2 is 16.

64 + 16 = 80

So, your answer will be 80ft squared

Hope this helped!

Answer: 1 3/4

Step-by-step explanation:

8 1/2 - 6 3/4

change the 1/2 to 2/4

then take away 1 from 8 and add 4 to the 2 and it gets 6

6-3=3

7-6=1

Step-by-step explanation:

Based on the information given, we have a diagram with two sides labeled as 13.3 mm and 5.5 mm, and another side labeled as X mm.

To find the length of X, we can use the fact that the sum of the lengths of the sides of a triangle is equal to the perimeter.

Perimeter = 13.3 mm + 5.5 mm + X mm

The perimeter is the total distance around the triangle. Since we have three sides, the perimeter is the sum of the lengths of those sides.

To find X, we can subtract the sum of the known sides from the perimeter:

X mm = Perimeter - (13.3 mm + 5.5 mm)

Since the value of X is not given, we cannot calculate it without the perimeter value. If you provide the perimeter value, I can help you find the length of X.

Answer:

C. 48 squares

Step-by-step explanation:

Brainliest pls

(a) There are 10 units must be sold to maximize profit.

(b) The maximum profit is 480.

what is profit?

A profit is an income that is given to the owner in an efficient market production process in accounting. The owner's primary interest in the income-formation process of market production is profit, which is a measure of profitability. Different profit metrics are frequently employed.

Given:

A company sales x units of a product, its profits P can be determined

using the profit function P(x) = -2x² + 40x + 280       ..(1)

We have to find the maximum profit.

Differentiate equation (1) w.r.t x

     P'(x) = -4x +40            ..(2)

-4x + 40 = 0

        4x = 40

          x = 10

Again differentiate equation (2) w.r.t x

P''(x) = -4 which is negative.

Hence, there are 10 units must be sold to maximize profit.

Now, to find the maximum profit.

Plug x = 10 in equation (1)

P(10) = -2(10)^2 + 40(10) + 280

        = -200 + 400 + 280

P(10) = 480

Hence, the maximum profit is 480.

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Answer:

∠7 = 102°

Step-by-step explanation:

∠2 ≅ ∠6   [Corresponding Angles]

So,

∠6 = 78°

Now,

∠6 + ∠7 = 180°

Where ∠6 = 78°

78° + ∠7 = 180°

∠7 = 180° - 78°

∠7 = 102°

Hope this helped!

Answer:

C. -sin(r)

Step-by-step explanation:

I did the test on edge

The expression which is equivalent to cos (π/2 + r) for all values of r is -sin r.

In the cartesian system, a plane is divided into four regions by a horizontal line called X-axis and a vertical line called Y-axis. These four regions are known as quadrants.

Here, given expression;

        cos (π/2 + r)

We know that,

Angle (π/2 + r) lies in second quadrant

In second quadrant, only sin and cosec will be positive, rest all will be negative.

Now,

cos (π/2 + r) = - sin r

Thus, the expression which is equivalent to cos (π/2 + r) for all values of r is -sin r.

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The resulting equation after multiplying the first equation by 2 and subtracting the second equation is:

-5y = -375

1. Given equations:

  - x + 3y = 350    (Equation 1)

  - 2x + 4y = 625   (Equation 2)

2. Multiply Equation 1 by 2:

  - 2(x + 3y) = 2(350)

  - 2x + 6y = 700    (Equation 3)

3. Subtract Equation 2 from Equation 3:

  - (2x + 6y) - (2x + 4y) = 700 - 625

  - 2x - 2x + 6y - 4y = 75

  - 2y = 75

4. Simplify Equation 4:

  -2y = 75

5. To isolate the variable y, divide both sides of Equation 5 by -2:

  y = 75 / -2

  y = -37.5

6. Therefore, the resulting equation is:

  -5y = -375

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The ordered pairs are (5, 6.25), (10, 7.5), (15, 8.75).

The equation y = 0.25x + 5 represents the total cost y for x tokens, where each token costs $0.25 and there is a flat admission fee of $5.

To find the ordered pairs for the equation when x = 5, 10, and 15,

We simply substitute these values into the equation and solve for y:

Hence, the correct answer is (5, 6.25), (10, 7.5), (15, 8.75).

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Answer:

Step-by-step explanation:

this involves any number that when subtracted or added it gives each other the values of the family

7 + 6 equals 13, 13 - 6 equals 7,

please mark me brainiest

^_^

Answer:

7+6=13 6+7=13 13-6=7 13-7=6 7+6=13 13=7+6 13-6=7 7=13-6b

Step-by-step explanation:

I studied. :)

Step-by-step explanation:

The expression you provided involves taking the square root of a negative number, which results in an imaginary number. In standard real number arithmetic, the square root of a negative number is undefined. However, in the realm of complex numbers, we can define a square root of negative numbers using the imaginary unit "i," where i is defined as the square root of -1.

Let's break down the expression step by step:

√(-25) / √9

The square root of -25 can be written as √(-1 * 25), which can further be simplified as √(-1) * √25.

√(-1) is equal to "i," and the square root of 25 is 5.

So, the expression becomes:

i * 5 / √9

The square root of 9 is 3.

Now, we can simplify further:

i * 5 / 3

Thus, the simplified expression is (5i) / 3, where "i" represents the imaginary unit.

Answer:

B)

Step-by-step explanation:

They are intersected to make a same side interior angle.

Answer:

A) alternate interior angles are always congruent.

Sum of two angles that are supplementary = 180°

Ratios in which they have been given their measurement = 1 : 3

Total number of parts = 1 + 3 = 4

Each part = 180÷4 =

\(Each \: part = \: \frac{180}{4} \)

Each part = 45°

Measure of smaller angle = 45 × 1 = 45°

\(Measure \: of \ \: the \: smaller \: angle \: = \: 45 \: × \: 1 \: = \: 45°\)

\(Measure \: of \: \: the \: larger \: angle \: = \: 3 \: × \: 45 \: = \: 145° \: \)

∴ The measure of the larger angle in degrees = 145° .

Answer:

2^7

Step-by-step explanation:

Dividing fractions with exponents means you subtract, so 2^6/2^4 = 2^6-4 =2^2

Multiplying numbers with exponents means adding the exponents, so 2^2+2^5 = 2^2+5 = 2^7

Answer:

2^7

Step-by-step explanation:

please mark me as brainlest

Area of the circle

The are of a circle is given by:

Where:

π = 3.14159

r = radius of the circle

In our problem we have:

r = 5

So, applying the formula of above we find that:

Circle Area = 78.5 mi²

Area of the sector area of the circle

We can calculate the area of a sector of a circle using the following formula:

Where:

θ = angle of the sector

In our problem we have:

θ = 60°

So, applying the formula of above we find that:

Sector Area = 13.1 mi²

\((2x-1)(x+5)=2x^2+9x-5=0\).

The quadratic equation has a general form of

\(ax^2+bx+c=0\).

So your "b" is 9.

Hope this helps.

Answer:  Answer is in the steps

Step-by-step explanation:

(2x-1)(x+5) = 0    First expand the left side by apply the distributive property twice.

(2x -1)(x+5) =0  

x(2x -1) =  2x^2 -1x  

5(2x -1) =  10x -5  

Now rewrite them all together

2x^2 - 1x +10x -5  = 0   combine like terms on the left side.

\(2x^{2}\) + 9x -5 = 0      a is the first leading coefficient,b is the second leading coefficient, and  c is the constant.

So in this case, the value of b is 9.