Larry's math teacher did not want to announce her age. She told her students if
they could solve the riddle, it would reveal how old she was. Her riddle stated: "The
product of my age and five, then decreased by twenty and finally increased by my
age times negative three is fifty." How old was Larry's math teacher? Hint: Write the
equation first, then solve to find the missing part.

Answer:

Step-by-step explanation:

Since the relationship in the table is not a function, Rae could put any values for x that is already in the table.

This will result in repeat of x-values with different corresponding y-values.

Answer:

x=7

Step-by-step explanation:

If BD is the bisector, then  ABD = DBC

3x-1 = 34-2x

Add 2x to each side

3x-1+2x = 34-2x+2x

5x-1 =34

Add 1 to each side

5x-1+1 = 34+1

5x= 35

Divide by 5

5x/5 = 35/5

x = 7

The required, ratio of sides that is equivalent to tan V is SU/VS.

In the given figure,
Consider the triangles VSU and VUT. By applying the tangent function to both triangles, we can establish the following relationships:

The tangent of angle V is equal to the ratio of side SU to side VS, i.e., tanV = SU/VS.

Similarly, the tangent of angle V is also equal to the ratio of side UT to side VU, i.e., tanV = UT/VU.

By utilizing the tangent function in these two triangles, we can derive these equations.

Thus. the required, ratio of sides that is equivalent to tan V is SU/VS.

Learn more about trigonometric ratios here:

https://brainly.com/question/23130410

#SPJ1

Answer:

-6x+14

Step-by-step explanation:

Simplemente debes

multiplicar

Answer:

$4.56

Step-by-step explanation:

22.80/5 = 4.56

The profit margins (return on sales) for each division are approximately :Division A = 10.85%,Division B = 9.11% and The calculations for the year would be:Net Income = $85,428,Return on Assets = 18.9%.

To compute the profit margins (return on sales) for each division, we divide the profit by the sales and multiply by 100 to express the result as a percentage.

For Division A:

Profit Margin = (Profit / Sales) * 100

Profit Margin = ($230,000 / $2,120,000) * 100

Profit Margin ≈ 10.85%

For Division B:

Profit Margin = (Profit / Sales) * 100

Profit Margin = ($34,700 / $381,000) * 100

Profit Margin ≈ 9.11%

To calculate the net income and return on assets for Polly Esther Dress Shops Inc., we use the given information.

Net Income = Profit Margin * Sales

Net Income = 7% * $1,220,400

Net Income = $85,428

Return on Assets = Profit Margin * Asset Turnover

Return on Assets = 7% * 2.7

Return on Assets = 18.9%

For more such questions on profit,click on

https://brainly.com/question/29785281

#SPJ8  

A relation that contains no repeating groups and has nonkey columns solely dependent on the primary key but contains determinants is in the third normal form (3NF).

In this form, every monkey column of the relation is determined by the primary key and has no transitive dependencies on any other monkey column. This means that every column in the relation is uniquely identified by the primary key, and there are no redundant data in the relation. Therefore, the relation is free from anomalies such as update, deletion, and insertion anomalies. The third normal form is considered the most commonly used normal form in the relational database design, and it ensures data integrity and consistency. In summary, a relation that meets the criteria mentioned in the question is in 3NF.

To know more about columns visit:

https://brainly.com/question/29194379

#SPJ11

Answer:

a.

How many bowls could you glaze?

we can only glaze 6 bowls

How many plates could you 10 plates

b. You want to glaze 5 bowls, and then use the rest for plates.

How many plates can you glaze?

Hence we can only glaze 2 plates

How much glaze will be left over?

8/9

c. How many of each object could you glaze so that there is no glaze left over?

= 4 4/23 bowls and 4 4/23 plates

Step-by-step explanation:

You have 6 pints of glaze. It takes 7/8 of a pint to glaze a bowl and 9/16 of a pint to glaze a plate.

a.

How many bowls could you glaze?

It takes 7/8 of a pint to glaze a bowl

We have 6 pint

7/8 pint = 1 bowl

6 pints =

6 pints/ 7/8

= 6 × 8/7

= 48/7

= 6.8571428571 bowls

We can't glaze decimal of a bowl, hence, we can only glaze 6 bowls

How many plates could you glaze?9/16 of a pint to glaze a plate.

9/16 pint = 1 bowl

6 pints =

6 pints/ 9/16

= 6 × 16/9

= 10.666666667 plates

We can't glaze decimal of a plate, hence, hence can only glaze 10 plates

b. You want to glaze 5 bowls, and then use the rest for plates.

1 bowl = 7/8 pints

5 bowls =

5 × 7/8pints

= 4 3/8 pints of glaze would be used for bowls

How many plates can you glaze?

The rest is for plates, hence:

6 pints - 4 3/8

1 5/8 pints of glaze would be left over to glaze plates.

Hence if

9/16 pints = 1 plate

1 5/8 pints =

= 2 8/9

Hence we can only glaze 2 plates

How much glaze will be left over?

8/9

You could glaze plates and will have pints of glaze left over.

c. How many of each object could you glaze so that there is no glaze left over?

We have 6 pints of glaze

7/8 x + 9/16 × x = 6 pints

= 4 4/23 bowls and 4 4/23 plates

Answer:

8.04050632911

Step-by-step explanation:

The equivalent expression is: \(-x^5 y^3 + 6x^3 y^5\).

Let's simplify the given expression step by step using the given terms:
Expression:

\(3x^3 y^5 + 3x^5 y^3 - (4x^5 y^3 − 3x^3 y^5)\)
Distribute the negative sign outside the parentheses to the terms inside:
\(3x^3 y^5 + 3x^5 y^3 - 4x^5 y^3 + 3x^3 y^5\)
Combine like terms, which are terms that have the same variables raised to the same power:
\((3x^3 y^5 + 3x^3 y^5) + (3x^5 y^3 - 4x^5 y^3)\)
Add or subtract the coefficients of the like terms:
\(6x^3 y^5 - x^5 y^3\)
So, the simplified expression is:
\(6x^3 y^5 - x^5 y^3\)

For similar questions on Equivalent

https://brainly.com/question/2972832

#SPJ11

Answer:

\(m = \frac{9 - 4}{3 - 9} = - \frac{5}{6} \)

Answer:

10

Step-by-step explanation:

Set up as a proportion:

\(\frac{QR}{QP}=\frac{BA}{BC}\), insert given values

\(\frac{?}{12}=\frac{30}{36}\), cross multiple

36*?=30*12

36*?=360, divide both sides by 36 to get the missing side (?) by itself

?=10

Answer:

See below.

Step-by-step explanation:

There are four ticks between each term, meaning that any point in between would be represented in fourths.

B is located at the first tick between 2 and 3, so the fraction is 2 1/4.

-hope it helps

Answer:

The correct answer is 2 1/4

Step-by-step explanation:

There are 4 dashes in the number line from 2 to 3 so the fraction has to be /4

It is 1/4 because B is on the first dash after 2

Answer:

A basic formula, solving for x, guides us in the setting up of an equation: D/H x Q = x, or Desired dose (amount) = ordered Dose amount/amount on Hand x Quantity

Step-by-step explanation:

Medications are available in multiple concentrations, therefore orders written in "mL" rather than "mg" are not acceptable and require further clarification.

...

Example 2.

Step 1. Calculate the dose in mg: 18 kg × 100 mg/kg/day = 1800 mg/day

Step 2. Divide the dose by the frequency: 1800 mg/day ÷ 1 (daily) = 1800 mg/dose

Answer:

16 cups

Step-by-step explanation:

In order to find the answer to this question we need to solve it using what we know about unit measurements.

3 cups = 12 oz

\(12\div 3 = 4\)

1 cup = 4 oz

1lb = 16 oz

\(4\times4=16\)

4 cups = 1lb

16 cups = 4lb

=16 cups

Hope this helps.

Answer:

False the correct answer would be x^12

Step-by-step explanation:

When calculating an exponent at the power of an exponent the exponent should be multiplied. 3x4=12. The correct answer is x^12.

The cross marked at the points (-2.5 , -5) and  (0 , -1.5) is shown below .

The x and y coordinate helps in identifying a point in the coordinate axis and it is written as a ordered pair (x,y) .

where x represents the position of point with reference to the x-axis

and y represents the position of point with reference to the y axis .

In the question ,

points are given , we have to plot them and mark a cross .

Part(a)

point is (-2.5 , -5)

So , the x coordinate is -2.5

means the point is 2.5 units left from the origin  ,

and y coordinate is -5 .

means the point is 2.5 units down from the origin  .

the cross mark on the point is shown below .

Part(b)

point is (0 , -1.5)

So , the x coordinate is -2.5

means the point is 0 units units from the origin ,

and y coordinate is -1.5 ,

means the point is 1.5 units down from the origin  .

the cross mark on the point is shown below .

Therefore , The cross marked at the points (-2.5 , -5) and  (0 , -1.5) is shown below .

Learn more about Graphs here

https://brainly.com/question/4619801

#SPJ1

The dimensions of expensive television is 32 inches through 64 inches.

This trouble may be solved if we understand the idea of fraction and a way to calculate the part of a fragment.

right here it is for the reason that the inexpensive tv is 12 inches by means of 24 inches.

Also it is given that the expensive television is \(\frac{8}{3}\) of the cheaper one.

Now taking the length into consideration the length of the television is

  =\(\frac{8}{3}*12\)

  = 32 inches

Now taking the width into consideration the width of the television is

 =\(\frac{8}{3}*24\)

 = 64 inches

So, the dimension of the expensive television is 32 inches by 64 inches.

To learn more about fractions visit the link:

https://brainly.com/question/10354322

#SPJ4

Answer:

X+2Y=7 and 4X+8Y=19

Step-by-step explanation:

Step 1: Write the equations in the form y=mx+c, where m represents the gradient.

In this case, gradient is equal to -0.5

Step 2: Now fix arbitrary values on the equation, y=mx+c while maintaining the value of m as - 0.5

You can make endless equations

Answer:

20 minutes

Step-by-step explanation:

Plan A

C = 40 + 0.05m

Plan B

C = 0.25m

we want to find the number of minutes m such that the two plan cost the same.

Hence

40 + 0.05m = 0.25m

40 = 0.20 m

m = 40/ 0.20

m = 400 / 2

m = 20 minutes.

The correct option H0: µD ≥ 0,HA: µD < 0, is used to determine whether the first population's mean is lower than the second population's mean, a set of hypotheses.

Paired testing, commonly referred to as auditing, is a practical and easy technique to determine whether and how discrimination is present.

Thus, µD ≥ 0,HA: µD < 0, is used to determine whether the first population's mean is lower than the second population's mean, a set of hypotheses.

To know more about the matched-paired sampling, here

https://brainly.com/question/13777653

#SPJ4

Answer:

Step-by-step explanation:

To find the smallest possible difference between two different nine-digit integers that include all the digits 1 to 9, we can start by arranging the digits in ascending order to form the smaller number and in descending order to form the larger number.

The smallest possible nine-digit integer that includes all the digits 1 to 9 is 123456789, and the largest possible nine-digit integer is 987654321.

To calculate the difference, we subtract the smaller number from the larger number is

987654321 - 123456789 = 864197532

Therefore, the smallest possible difference between two different nine-digit integers, each of which includes all the digits 1 to 9, is 864,197,532

In number theory, the smallest possible difference between two different nine-digit integers, each of which includes all of the digits from 1 to 9, is 1.

The subject matter of this question belongs to Mathematics, specifically, number theory. The smallest possible difference between two different nine-digit integers, each of which includes all of the digits 1 to 9, is 1. For instance, consider the two numbers

123456789

and

123456790

. Both numbers use each of the digits 1 to 9 once. The difference between these two numbers is 123456790 - 123456789 = 1. This is the smallest difference that can be achieved under the given conditions.

https://brainly.com/question/30414700

#SPJ2

Answer:

C. (3, -1) is a solution

Step-by-step explanation:

It is inside in the double shaded area.

Answer:

Graph A

Step-by-step explanation:

S = m+3

Let Michael read 3 page

S = 3+3 = 6

Graph A shows when m=3, S =6

The budgets of Hong Kong, the United States of America, and Korea differ in contents, formats, advantages, and disadvantages. While each budget has its strengths and weaknesses, they all aim to provide a clear and transparent financial plan for their respective countries.

A budget is a financial plan that estimates expected income and expenditure for a specific period. It may include income, expenses, debts, and savings. Budgets may vary from country to country and can be analyzed by comparing their contents, formats, advantages, and disadvantages. Here are the budgets of Hong Kong, the United States of America, and Korea:

United States Budget:

Korean Budget:

Learn more about Budget:

https://brainly.com/question/26894404

#SPJ11

Response rates in online surveys can be problematic due to the inadequate number of individuals in organized panels of respondents. An organized panel of respondents is a group of individuals who are willing to participate in online surveys, but there are limited numbers of such individuals.

The low response rates may lead to bias results, lower precision, and increased variability, resulting in inaccurate findings. Researchers might also find it challenging to calculate the response rates when the data collection vendor is recruiting participants outside the official online data collection vendor.Response rates are usually determined by the number of surveys completed in relation to the total number of potential respondents in a sample. The greater the number of individuals who complete the survey, the greater the response rate. There might be a problem calculating response rates if data collection vendors identify and target participation from specific groups of individuals.

The use of radio buttons, pull-down menus for responses, and the use of visuals have no effect on calculating response rates. However, graphics and animation might affect survey response rates if they cause technical problems or distraction to the respondent while participating in the survey.

To know more about inadequate number visit:-

https://brainly.com/question/32287663

#SPj11

Yes the two triangles are necessarily congruent as they are right angled so both the angles are equal and having two sides equal by using SAS rule that is Side, Angle, Side rule by the property of congruency.

Two figures are considered to be "congruent" if they can be positioned precisely over one another. Both of the bread slices are the same size and shape when stacked one on top of the other. Congruent refers to things that are exactly the same size and shape.

If two triangles meet all 5 requirements for congruence, then they are congruent. They are right angle-hypotenuse-side (RAHS), angle-side-angle (ASA), angle-angle-side (AAS), side-side-side (SSS), and side-angle-side (SAS) (RHS).

Here the ΔCED and ΔPOR,

∠CED=∠POR

Side PR=CD

Side ED=PO

by using SAS rule,

ΔCED≅ΔPOR

Yes, the two triangles are inherently congruent because they have right angles, which means that both of their angles are equal, and because their sides are equal according to the SAS rule, which stands for Side, Angle, Side.

To know more about congruency,

https://brainly.com/question/10677854?referrer=searchResults

#SPJ13

Applying the inscribed angle theorems, the true statements regarding the given diagram are: B. m∠BCA = 25° C. m∠BOA = 50°

The inscribed angle theorems state that:

∠BCA is an inscribed angle.

m(AB) is the intercepted arc = 50°

∠BOA is the central angle

m∠BCA = 1/2(m(AB) = 1/2(50) = 25°

m∠BOA = m(AB) = 50°

The true statements are:

m∠BCA = 25°

m∠BOA = 50°

Learn more about inscribed angle theorems on:

https://brainly.com/question/3538263

#SPJ2

Answer: The figures appear to be similar

============================================================

Explanation:

You'd need to use a protractor, or perhaps some trig tricks that I can't think of right now, to determine that the angles are the same. They appear to be the same so, let's assume that the angles are the same.

That means we just need to focus on the sides being proportional or not. We simply divide the corresponding sides in the correct order. If we get the same result each time, then we have similar figures.

I've marked your drawing adding color coded circles to show which sides are corresponding. We'll divide the red values together, the green values together, etc like so

I started with the stuff in red, moved to stuff in green, working clockwise around each figure. We get the same result each time, so it seems to suggest we have similar figures. Again, we have to assume the angle measures are the same for the two figures to officially be considered similar.