9.) Paul's Pizza is having a deal on pizzas. If you order your toppings in multiples of 3 you will get $3.00 off each pizza that normally costs $9.00. You order one pizza with pepperoni, pineapple, and peppers, one pizza with sausage, mushrooms, and onions, and one pizza with black olives and ham. You also order breadsticks for $5.25 and a bottle of soda for $2.50. If you pay with a $50.00 bill, how much change will you receive? Write an expression to represent the problem and solve.​

Work Shown:

b/c = a

b = ac

ac = b

c = b/a

Explanation:

Start things by multiplying both sides by c (step 2)

Then divide both sides by 'a' to isolate c (step 4)

Answer:

\(b \div c \: = a \\ ac = b \: \\ ac \div a \: = b \div a \\ c \: = b \div a \: \)

Step-by-step explanation:

Making c the subject

b/c = a

ac = b

Dividing both sides by a to make c the subject

ac/a = b/a

c = b/a

Therefore, c = b/a

Hope it helps ✨✨

Answer:

56%

Step-by-step explanation:

Let x = The percentage of female spectators

420/750 = x/100

42000 = 750x

42000/750 = x

56 = x

The suggestion to the unit staff by mediator that a group agreement needed to be made so meetings could become more productive and efficient.

By suggesting the need for a group agreement,

The mediator is proposing that the unit staff establish a set of guidelines or norms that will govern their meetings.

This agreement would outline expectations, rules, and protocols to ensure that meetings are conducted in a manner.

That promotes productivity and efficiency.

Having a group agreement for meetings can have several benefits.

Firstly, it helps establish a shared understanding among team members regarding the purpose, structure, and desired outcomes of meetings.

This clarity can reduce confusion and ensure that everyone is on the same page.

Secondly, a group agreement can address common issues that hinder productivity and efficiency in meetings.

For example, it can include guidelines for starting and ending meetings on time, staying focused on the agenda.

Encouraging active participation, respecting different viewpoints, and minimizing interruptions.

By having these agreed-upon rules, the group can prevent time wastage, tangents, or unproductive behaviors that might derail discussions.

Moreover, a group agreement fosters a sense of ownership and accountability among the unit staff.

When team members actively contribute to creating the agreement.

They are more likely to adhere to its principles and hold themselves and others accountable for meeting etiquette.

Overall, the goal of establishing a group agreement for meetings is to create an environment that encourages.

Effective communication, collaboration, and decision-making.

It helps ensure that meetings are conducted in a manner that maximizes the use of time.

Promotes active engagement, and ultimately leads to more productive and efficient outcomes.

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The given question is incomplete, I answer the question in general according to my knowledge:

The mediator suggested to the unit staff that a group agreement needed to be made so meetings could become_____.

To find the probability of selecting either a Red or a Brown almond M&M, we need to add their respective probabilities. The probability of selecting either a red or brown almond M&M is 0.2 or 20%.

P(R or Br) = P(R) + P(Br)

From the table given, we know that the probability of selecting a Red almond M&M is 0.1 and the probability of selecting a Brown almond M&M is also 0.1. Therefore,

P(R or Br) = 0.1 + 0.1 = 0.2

So, the probability of selecting either a Red or a Brown almond M&M is 0.2 or 20%.

In summary, to find the probability of selecting either one event or another event, we add their probabilities together. In this case, the probability of selecting a Red or a Brown almond M&M is 0.2 or 20%.

To find the probability of selecting either a red (R) or brown (Br) almond M&M, you can simply add the individual probabilities for each color since they are mutually exclusive events (selecting one does not affect the other).

According to the given probability distribution, the probability of selecting a red M&M (R) is 0.1, and the probability of selecting a brown M&M (Br) is 0.1.

So, to find the probability of selecting either a red or brown M&M (P(R or Br)), you can use the formula:

P(R or Br) = P(R) + P(Br)

Plugging in the given probabilities:

P(R or Br) = 0.1 (for R) + 0.1 (for Br)

P(R or Br) = 0.2

So, the probability of selecting either a red or brown almond M&M is 0.2 or 20%.

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The correct letter that matches the column A to B are

1 - D

2 - E

3 - H

4 -

5 - J

6 - I

7 - F

8 - C

9 - A

10 -

Fractions are expression written as a ratio of two integers. From the given question, we are to match the question in A with their correct solution in column B.

For 3 1/8

3 1/8 = 25/8 * 100
3 1/8 = 2500/8

3 1/8 = 3.125%

For 5/2

5/2 = 2 1/2

For the percent 28%

28% = 0.28

28% = 28/100 = 7/25

For the value 0.72

0.72 =72/100

0.72 = 18/25

For the value 200%

200% = 200/100

200% = 2

For 650%

650% = 650/100

650% = 6.5 = 6 1/2

For 47/5

47/5 = 9 2/5

Since 1/00 is the same as %, hence;

90/100 = 90%

For 0.25

0.25 = 25/100
0.25 = 1/4

For 1.6

1.6 = 16/10

1.6 = 8/5 = 1 3/5

Hence the correct letter that matches the column A to B are

1 - D

2 - E

3 - H

4 -

5 - J

6 - I

7 - F

8 - C

9 - A

10 -

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Answer: A is the answer

Step-by-step explanation:

Answer:

The solution of this system of linear equations is \((x,y) = (-3,-2)\).

Step-by-step explanation:

Let be the following system of linear equations:

\(2\cdot x - 7\cdot y = 8\) (1)

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

From (1) we clear \(y\):

\(2\cdot x -8 = 7\cdot y\)

\(y = \frac{2\cdot x - 8}{7}\)

And we apply this variable in (2):

\(-3\cdot x+2\cdot \left(\frac{2\cdot x -8}{7} \right)= 5\)

\(-3\cdot x +\frac{4}{7} \cdot x -\frac{16}{7} = 5\)

\(-\frac{17}{7}\cdot x = \frac{51}{7}\)

\(x = -\frac{51}{17}\)

\(x = -3\)

And the value of \(y\) is:

\(y = \frac{2\cdot (-3)-8}{7}\)

\(y = -\frac{14}{7}\)

\(y = -2\)

The solution of this system of linear equations is \((x,y) = (-3,-2)\).

Using the simplex method, the optimal solution for the given linear programming problem is x = 2, y = 2, z = 0, with the maximum objective value of P = 10.



a. To rewrite the formulation in standard form, we need to replace the inequalities with equality constraints and introduce non-negative variables. Let's assume x, y, and z as the non-negative variables:

Maximize P = 3x + 2y + 4z

Subject to:2x + y + z + s1 = 8

x + 2y + 3z + s2 = 10

x, y, z ≥ 0

b. Utilizing the linear programming simplex method, we can solve the above formulation. After setting up the initial tableau, we perform iterations by selecting a pivot element and applying the simplex algorithm until an optimal solution is reached. The algorithm involves row operations to pivot the tableau until all coefficients in the objective row are non-negative. This ensures the optimality condition is satisfied, and the maximum value of P is obtained.

To provide a brief solution within 120 words, we determine the optimal solution by applying the simplex method to the above formulation. After performing the necessary iterations, we find that the maximum value of P occurs when x = 2, y = 2, z = 0, with P = 10. Therefore, the maximum value of P is 10, and the solution for the given problem is x = 2, y = 2, and z = 0.

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Use the regression equation for predictions only if the graph of the regression line on the scatterplot confirms that the regression line fits the points reasonably well. Therefore, the correct answers are options A, B and D.

For each participant in many research, we measure more than one variable. For instance, we track rainfall and plant growth, the quantity of eggs and nesting environment, the number of young, and soil erosion and water volume. Instead of analysing each variable independently (univariate data), we collect pairs of data and try to come up with ways to characterize bivariate data, which involves measuring two variables on each individual in our sample. We start by looking for a correlation between these two variables using the data at hand.

Numerous different kinds of associations between two variables can be found using a scatterplot.

Therefore, the correct answers are options A, B and D.

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Answer:

Below

Step-by-step explanation:

Given the slope m = 3/7

  the PERPINDICULAR slope will be  - 1/m  = -1 / (3/7) = - 7/3

      this is just something you have to LEARN and remember....

Answer:

I don't know sorry I ain't smart

Answer:

To convert a decimal to a fraction, place the decimal number over its place value. For example, in 0.6, the six is in the tenths place, so we place 6 over 10 to create the equivalent fraction, 6/10. If needed, simplify the fraction.

Step-by-step explanation:

Answer:

remove the decimal and divide by 1000

Step-by-step explanation:

Ex./ 1.375=1375/1000=11/8

Answer:

I think the answer is A

Step-by-step explanation:

Answer:

\(\frac{16y-5}{18y^{2} }\)

Step-by-step explanation:

\(\frac{8}{9y} -\frac{5}{18y^{2} }\), multiply the first fraction by 2y/2y to get a common denominator

so \(\frac{16y}{18y^{2} } -\frac{5}{18y^{2} }\) then simplify \(\frac{16y-5}{18y^{2} }\)

The angle between the stick and the base of the box is 77. 9 degrees

To determine the angle between the stick and the base, we have to know the trigonometric identities.

These identities are;

From the information given, we have;

sin A = FB/AB

Given that;

GB = 14.5cm

AB = 18. 6cm

substitute for the length of the sides, we have;

sin A = 14.5/18. 6

Divide the values, we have;

sin A = 0. 7796

Find the inverse sine

A = 77. 9 degrees

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Assuming that the situation can be expressed as a linear cost function, the cost function in this case is given as C(x) = 20x + 4000.

Linear cost function is a function of a straight line, with the function's general form being:

y = mx + b

Where:

y = dependent variable

x = independent variable

m = slope of the line

b = y-intercept

To determine the cost function from the given information,

Marginal cost = 20 items/ per item

Total item produced = 190 items

Total cost to produce = $8000

Then, the equation will be the total cost to produce the item is given as the sum of fixed costs and variable costs as shown below:

Total cost = Fixed costs + Variable costs

Since we already know the variable cost per item produced and the total item produced, we can calculate the variable cost as follows:

Variable cost = Marginal cost × Total item produced= 20 × 190= $3,800

Using the variable cost and the total cost, we can now calculate the fixed cost as follows:

Fixed cost = Total cost - Variable cost= $8000 - $3800= $4,200

Hence, the linear cost function is given as:C(x) = 20x + 4000

Therefore, C(x) = 20(190) + 4000= $7,800

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Answer: Choice B)   sin (33) = x/14

This is because the sine of an angle is equal to the opposite side over the hypotenuse

sin(angle) = opposite/hypotenuse

sin(33) = x/14

We can't use cosine because we don't have a variable for the adjacent side.

Answer:

Is there any other Answers?

cuz I got y=4

Measure of angle:

∠A  = 36.86°

∠B = 90°

∠C = 53.13 °

Measure of side ,

AB =  28

BC = 21

CA = 35

Given triangle ABC.

Right angled at B.

Now, using trigonometric ratios to find angle A , B , C .

Right angled at B : ∠B = 90°

Angle A,

SinA = 21/35

∠A = 36.86

Angle C,

SinC = 28/35

∠C = 53.13

Now measures of side.

To find the length of side use sine rule .

Sine rule:

a/sinA = b/sinB = c /sinC

a = opposite side of angle A .

b = opposite site of angle B .

c = opposite side of angle C.

AB = 28

BC = 21

CA = 35

Hence the sides and angles of the triangles are measured .

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Using the Poisson distribution, there is a 0.8335 = 83.35% probability that 2 or fewer will be stolen.

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by:

\(P(X = x) = \frac{e^{-\mu}\mu^{x}}{(x)!}\)

The parameters are:

The probability that a rental car will be stolen is 0.0004, hence, for 3500 cars, the mean is:

\(\mu = 3500 \times 0.0004 = 1.4\)

The probability that 2 or fewer cars will be stolen is:

\(P(X \leq 2) = P(X = 0) + P(X = 1) + P(X = 2)\)

In which:

\(P(X = x) = \frac{e^{-\mu}\mu^{x}}{(x)!}\)

\(P(X = 0) = \frac{e^{-1.4}1.4^{0}}{(0)!} = 0.2466\)

\(P(X = 1) = \frac{e^{-1.4}1.4^{1}}{(1)!} = 0.3452\)

\(P(X = 2) = \frac{e^{-1.4}1.4^{2}}{(2)!} = 0.2417\)

Then:

\(P(X \leq 2) = P(X = 0) + P(X = 1) + P(X = 2) = 0.2466 + 0.3452 + 0.2417 = 0.8335\)

0.8335 = 83.35% probability that 2 or fewer will be stolen.

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A number written in scientific notation has a Negative Exponent that indicates the digits used in the number and is always written with 1 digit to the left of the decimal place.

The coefficient is always a number larger than or equal to one and less than ten in scientific notation. There is an integer exponent. When using scientific notation to write integers bigger than ten

As a result, when a number is smaller than 1, it will have a negative exponent in scientific notation.

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Answer:

The equation of a line in point-slope form is y-Y1=m(x-X1). ”m” is the slope and (X1,Y1) is a point.

So, the equation in point-slope form is y+5=12(x+4).

:)

To approximate the area under the curve y = x^3 from x = 1 to x = 4 using a right endpoint approximation with 6 subdivisions, we will divide the interval [1, 4] into 6 equal subintervals.

Then, we will calculate the area of each rectangle by using the right endpoint of each subinterval as the height of the rectangle and the width of each subinterval as the base. Finally, we will sum up the areas of all the rectangles to get an approximation of the total area under the curve.

Since we are using a right endpoint approximation with 6 subdivisions, the width of each subinterval will be (4 - 1) / 6 = 1/2. The right endpoints of the subintervals will be x = 1 + (1/2), 1 + 2(1/2), 1 + 3(1/2), and so on, up to x = 4.

For each subinterval, we evaluate the function y = x^3 at the right endpoint and multiply it by the width of the subinterval to calculate the area of the rectangle. Then, we sum up the areas of all the rectangles to get the approximation of the total area under the curve.

Let's perform the calculations to obtain the numerical approximation of the area using this method.

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–7(8 + 8x) – 6x

Removing parenthesis:

–7(8 + 8x) – 6x = -56 - 56x - 6x = -56 - 62x

-56 - 62x

Step-by-step explanation:

1 garm = $50.04

7.5 gram = 50.04 × 7.5 = $375.3