What percent of 92 is 11.5?
(this is supposed to be middle school level)

Answer:

-3

Step-by-step explanation:

Based on his weekly salary and commission, we can calculate that Mr. Randall sold goods worth $1,800.

In the formula given, sales is represented as s. To find the total sales, you can solve the equation:

300 + 0.07s = 426

0.07s = 426 - 300

s = 126 / 0.07

= $1,800

In conclusion, Mr. Randall sold $1,800 worth of goods.

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We know that the thickness of the lake decreases at a rate of 0.2 meters per week, so we can write:S(t)=-0.2t+4.

What is  thickness ?

Think of the thick sheet of ice you need to properly skate on a lake. Thick items are large, substantial, or unquestionably not thin. Thick may also signify "dense," as in your sister's thick, curly hair or a thick chocolate milkshake. The smallest of an object's three descriptive dimensions—height, breadth, and length—is referred to as thickness. If the volume and the area of one side of a rectangular prism are known, you may use those two quantities to determine the thickness of the prism.

We also know that after 7 weeks, the sheet is only 2.42 meters thick, which means we can write:

S(7)=2.42

S(7)=-0.2*7+X

S(7)=-1.4+X

2.42=-1.4+X

X=3.82

So, the function is: S(t)=--0.2*t+3.82

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Answer:

A) slope = p/q

Step-by-step explanation:

Slope of any given can be found using the formula, \( \frac{rise}{run} = \frac{y_2 - y_1}{x_2 - x_1} \).

In this case, using similar triangles, the rise over the run of any of the given similar triangles will give us the slope of line AB.

This means, slope of line AB would be:

\( \frac{rise}{run} = \frac{m}{n} = \frac{p}{q}

\).

✅Therefore, slope of line AB = p/q

Answer:

CD=10.15m

Step-by-step explanation:

Find the distance of BC.

Tan(40)=55/BC

BC=65.55m

Find the distance of BD.

Tan(36)=55/BD

BD=75.70m

Use BC and BD to find CD

BD-BC=CD

75.70-65.55=CD

CD=10.15m

Answer:

A

Step-by-step explanation:

1/ 1/4 = 4

4x60 = 240

A

Answer:

240 people fill the whole room

Step-by-step explanation:

If 60 people means that a room is only a quarter full, then an unknown value would mean that the room is full. Let's call the unknown value *x*

\(60 = \frac{1}{4} \)

\(x = 1\)

We cross multiply; this will give us an equation that says:

\(60 = \frac{1}{4} x\)

We then divide 60 by a quarter to find *x*, which is the unknown value

\( \frac{60}{1} \div \frac{1}{4} \: which \: is \: \frac{60}{1} \times \frac{4}{1} = 240\)

Answer:

In order to use the Pythogrean theorem you must first use the points to form a triangle then count the side length in order to get your numbers. It should be 7^2+2^2=c^2 and your answer should be 7.28. This person subtracted the x coordinates from the x coordinate and the y from the y to get their numbers.

Step-by-step explanation:

Answer:

Step-by-step explanation:

2

Answer:

H0 : The mean difference in strikes between pre and post strike is equal to 0

H1 : The mean difference in strikes between pre and post strike is not equal to 0

Step-by-step explanation:

The scenario described abibe meets the condition for a paired (dependent) sample t test as the same subject is involved in both the pre and post strike data. Therefore measurement from the strike(pre) must be paired with measurement from the strike(post) data.

For a paired test involving a single subject ; The mean difference in the two sample is 0 ; that is both are the same while the alternative negates the null by claiming that the mean difference is not equal to zero.

Angle 1 is congruent to ∠5 as they are corresponding angles on a transversal .

Angle 4 is congruent to ∠5 as they are alternate interior angles .

In mathematics, "\(a^2\)" denotes the square of a number or variable "a." It is calculated by multiplying "a" by itself.

4For example, if "a" is 5, then a^2 would be 5*5, which equals 25. When "a" represents a positive number, its square is always positive.

If "a" is negative, its square is still positive since a negative multiplied by a negative results in a positive.

In geometrical terms, if "a" represents the length of the side of a square, then a^2 represents the area of that square. This notation is part of the general concept of exponentiation.

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The Question in English

What does a^2 mean in mathematics

Answer:

hello

Step-by-step explanation:

Answer:

x=13,y=39

Step-by-step explanation:

y=3x,x+y=52

x+3x=52

4x=52

x=52/4

x=13

y=3(13)

y=39

The expressions are equivalent because Ella got the same result when she substituted zero for f. What is an equivalence in mathematics?

Equivalence is a very essential concept in mathematics that has been defined in several ways.

Equivalence is defined as a relationship between two mathematical objects or statements that represent the same concept or property in different ways.

To know more about the concept of equivalence, let's see the answer to the given question and explain it in detail.

Given expression:2 f 2. 6. 2 (0) 2. 6. 0 2. 6. 2. 6.3 f 2. 6. 3 (0) 2. 6. 0 2. 6. 2. 6. Ella completed the following work to test the equivalence of two expressions.

She has substituted zero for f in the given expression to find out if both of the expressions give the same result or not.If both of the expressions have the same result after substituting zero for f, then they are considered equivalent.

However, if the results obtained are different, then the expressions are not equivalent.

The result obtained after substituting zero for f in both expressions is 26 2.6.0 2.6.2.6. 2.6.0 2.6.2.6. = 30.

Therefore, the expressions are equivalent because Ella got the same result when she substituted zero for f.

Hence, the correct answer is "The expressions are equivalent because Ella got the same result when she substituted zero for f."

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Answer:

x=16

Step-by-step explanation:

Answer:

6x-12=84 x=16 hope that helps

Step-by-step explanation:

6x-12=84x

   +12 +12

6x=96

then you divide 6 by 96 and thats how you get 16

By applying interior angles of triangles concept, it can be calculated that:

Triangle is a 2D shape that is bounded by three sides and has three vertices.

The three interior angles of triangles will always have a sum of 180°.

ΔABC:

            ∠A + ∠B + ∠C = 180°

4x + (7x - 2) + (5x - 10) = 180°

                       16x - 12 = 180°

                              16x = 192°

                                  x = 12°

Thus, ∠A = 4x = 4*12 = 48°

∠B = 7x - 2 = 7*12 - 2 = 82°

∠C = 5x - 10 = 5*12 - 10 = 50°

ΔDEF:

     ∠D + ∠E + ∠F = 180°

3x + 18x + (5x - 2) = 180°

                26x - 2 = 180°

                      26x = 182°

                           x = 7°

Thus, ∠D = 3x = 3*7 = 21°

∠E = 18x = 18*7 = 126°

∠F = 5x - 2 = 5*7 - 2 = 33°

ΔGHI:

 ∠G + ∠H + ∠I = 180°

16x + 16x + 13x = 180°

                 45x = 180°

                      x = 4°

Thus, ∠G = 16x = 16*4 = 64°

∠H = 16x = 16*4 = 64°

∠I = 13x = 13*4 = 52°

ΔJKL:

                  ∠J + ∠K + ∠L = 180°

(x + 8) + (6x - 5) + (2x - 3) = 180°

                                    9x = 180°

                                      x = 20°

Thus, ∠J = x + 8 = 20 + 8 = 28°

∠K = 6x + 5 = 6*20 - 5 = 115°

∠L = 2x - 3 = 2*20 - 3 = 37°

ΔMNO:

∠M + ∠N + ∠O = 180°, if ∠M = x, then:

     x + 5x + 4x = 180°

                  10x = 180°

                      x = 18°

Thus, ∠M = x = 18°

∠N = 5x = 5*18 = 90°

∠O = 4x = 4*18 = 72°

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Answer:6

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

school is only 5 days a week and if she walks 60 yards to the bus stop and 60 yards back from the bus stop than she walks a total of 120 yards a day

120 x 5 =600 the answers are in feet so we need to convert to feet and to do that we need to multiply by 3

600x3=1800

so she walks 1800 feet in a normal school week

Answer:

Step-by-step explanation:

Answer:

It is e = 3

Step-by-step explanation:

It is e = 3 and not e = -3 because 44e - 41 e = 3e, then you'd subtract 30 from both sides to get the 3e equal to something which is 9. then dividing both sides by 3 would give you e = 3

Answer:

They get "there" food back

The AFC represents the fixed portion of the total cost, while the difference between ATC and AFC represents the variable cost per unit.

To determine the relationship between average fixed cost (AFC) and average total cost (ATC) at a quantity of output of 1,000 units, we need to understand the formulas for AFC and ATC.

AFC is calculated by dividing total fixed cost (TFC) by the quantity of output (Q). ATC is calculated by dividing total cost (TC) by the quantity of output (Q). Mathematically, we have:

AFC = TFC / Q

ATC = TC / Q

Given that AFC is $8 at a quantity of output of 1,000 units, we can substitute the values into the AFC formula:

$8 = TFC / 1,000

Multiplying both sides of the equation by 1,000, we find:

TFC = $8,000

Now, we are given that ATC is $12 at the same level of output. Substituting the values into the ATC formula, we have:

$12 = TC / 1,000

Multiplying both sides of the equation by 1,000, we find:

TC = $12,000

To summarize:

Total fixed cost (TFC) = $8,000

Total cost (TC) = $12,000

Therefore, it follows that the difference between AFC and ATC lies in the variable cost component. The AFC represents the fixed portion of the total cost, while the difference between ATC and AFC represents the variable cost per unit.

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Answer:

B

Step-by-step explanation:

Answer:

The correct answer is A) p chart.

Step-by-step explanation:

A) p chart.

The most appropriate control chart to monitor the proportion of a certain characteristic for a categorical variable is the p (p-bar) chart.

The p chart is used to monitor the proportion of nonconforming items or the occurrence of a specific characteristic within a sample or subgroup. It is particularly useful when dealing with binary data or categorical variables where the focus is on the proportion of items with a certain characteristic.

The p chart tracks the proportion of nonconforming items in each sample or subgroup over time, allowing for the detection of any shifts or trends in the proportion. It helps to identify if the process is stable or if there are any changes in the proportion that might require investigation or intervention.

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Answer:

28

Step-by-step explanation:

mm ya

Answer:

A mathematical proof is a deductive argument for a mathematical statement, showing that the stated assumptions reasonably warrant the conclusion.

Answer:

It should be 126°.

Step-by-step explanation:

Angles ∠ABE and ∠CBE are supplementary angles and supplementary angles  add up to 180°. Since we know that the m∠CBE is 54°, we can subtract 54 by 180 and get the measure for ∠ABE. The results should be 126°. I hope this helps! If this answer is wrong then I would love some feedback on what I did wrong! Thank you!

The optimized values of X and Y will represent the number of Yummy and Wholesome patties produced per month.

The total cost of production and storage will be minimized according to the objective function.

What is linear programming?

Linear programming is a mathematical method used to optimize (maximize or minimize) a linear objective function subject to a set of linear constraints. It is widely used in various fields, including economics, operations research, engineering, and finance, to solve optimization problems.

In linear programming, the objective is to find the best possible solution that satisfies a given set of constraints while optimizing a specific objective. The objective function represents the quantity to be maximized or minimized, such as profit, cost, time, or resource utilization. The constraints define the limitations or restrictions on the decision variables.

Decision Variables:

Let X be the number of Yummy patties produced per month.

Let Y be the number of Wholesome patties produced per month.

Objective Function:

Minimize the total cost of producing and storing Yummy and Wholesome sandwich patties.

Total Cost = (Production Cost per patty * Number of Yummy patties) + (Production Cost per patty * Number of Wholesome patties) + (Storage Cost per patty * Number of Yummy patties) + (Storage Cost per patty * Number of Wholesome patties)

Constraints:

Production capacity constraint: X + Y <= 12,000,000 (the total number of patties produced per month should not exceed 12 million).

Demand constraints: X >= demand for Yummy patties per month

Y >= demand for Wholesome patties per month

Fat content constraint: (20X + 8Y) / (X + Y) <= 13 (average fat content should not exceed 13 grams per patty)

To solve this linear programming problem and optimize the total cost, you can use Solver in software like Microsoft Excel. Here are the steps to set up and solve the problem using Solver:

Set up the spreadsheet:

Create a table with columns for variables (X and Y), objective functions, and constraints.

Enter the appropriate formulas for the objective function and constraints based on the given information.

Define the objective cell as the total cost and set it to minimize.

Set up the Solver:

Open Solver in Excel (usually found under the Data or Analysis tab).

Set the objective cell as the target to minimize.

Define the decision variables and their limits (X and Y >= 0).

Add the constraints based on the given conditions.

Set the Solver options as needed (non-integer solutions are allowed).

Run the Solver:

Click the Solve button to find the optimal solution.

Solver will adjust the values of X and Y to minimize the total cost while satisfying the constraints.

Review the results:

Once Solver completes, review the solution provided.

The optimized values of X and Y will represent the number of Yummy and Wholesome patties produced per month.

The total cost of production and storage will be minimized according to the objective function.

By following these steps and using Solver, you can find the optimal solution for minimizing the total cost of producing and storing Yummy and Wholesome sandwich patties while satisfying the given constraints.

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