The ratio of men to women working for a company is 7 to 5 . If there are 90 women working for the company, what is the total number of employees?

Answers

Answer 1

Answer:

The Total of employees

=216 employees

Step-by-step explanation:

Ratio of men to women is 7 to 5

Meaning

Men/women= 7/5

If their are 90 women

Let men= x

X/women= 7/5

X= women *7/5

X= 90*7/5

X= 18*7

X= 126

There are a total of 126 men

The Total of employees=men + women

The Total of employees=126+90

The Total of employees

=216 employees


Related Questions

The area of each square below is 1 square unit. How can we calculate the area of the striped region? A: 7/5 x 1/2 B: 6/12 x 2/10 C: 7/5 x 2/10

Answers

Answer:

wrong thing

Step-by-step explanation:

13 arent shaded of the 20 units

7/20 are shaded, 7X1=7, 2X5=10

Roberta sold goods costing $35,500, her expenses totaled $2,500 and her freight in totaled $750.
Her company's average stock of goods during the same period was $9,500.
The inventory turnover ratio for Roberta's company is

Answers

Answer:

Inventory turnover ratio is 3.74

explanation:

Inventory turnover is a ratio of the number of times a company's inventory is sold and replaced in a given period.

Inventory turn over ratio is calculated as ; Cost of goods sold ÷ Average stock of goods sold

= $35,500 / $9500

= 3.74

6.52
65.2
0.652
order it least to greatest which comes first?​

Answers

Answer:

Hey! The answer will be below!! :)

Step-by-step explanation:

In least to greatest the answer will be....

0.652, 6.52, 65.2

0.652 comes first because since the decimal point is between the 0 and 6

It’s also because 0 is less than 6 and 65.

Here is a easy way to do this, when you have this kind of question.

First look where the decimal is.

Pretend it’s a whole number like, 0.652 becomes 0

And 6.52 becomes 6, also 65.2 becomes 65

You have to use the decimal to find out least to greatest, also you will have to round the number.

So remember, when ever you have this kind of question...after the decimal point like 65.2 you take away the .2 and just have 65....this will help you do least to greatest faster! :)

Hope this helps!

Answer:

0.652, 6.52, 65.2

Step-by-step explanation:

You have to round to find the answer in a easy way.

Least to greatest would be 0.652, 6.52, 65.2

Hop it will help u

An engineer has designed a valve that will regulate water pressure on an automobile engine. The valve was tested on 240240 engines and the mean pressure was 7.57.5 pounds/square inch (psi). Assume the population standard deviation is 1.01.0. The engineer designed the valve such that it would produce a mean pressure of 7.67.6 psi. It is believed that the valve does not perform to the specifications. A level of significance of 0.10.1 will be used. Find the P-value of the test statistic. Round your answer to four decimal places.

Answers

Answer:

p-value = 0.1213  (to 4-decimal places)

Step-by-step explanation:

Given:

N = 240

mean  = 7.5

s = 1.0

Solution

With N=240 and using the central limit theorem, distribution can be approximated as normal.

Let

Null hypothesis H0, mu = 7.6

Alternate hypothesis, mu not equal to 7.6  (two-tail test)

for

Alpha = 0.1 (two sided)

Z = sqrt(N)(mean – mu)/s = sqrt(240)(7.5-7.6)/1.0 = -1.54919

p-value  

= P(|Z|>1.54919)  

= 2P(Z>1.54919)

= 2(1-P(Z<1.54919)

=2(1-0.9393)     (using normal distribution table)

=0.12134

Since alpha = 0.1 < p-value (0.1213), H0 that mean = 7.6 is not rejected.

Amber says that the data set is left-skewed because the box is farther to the left on the number line. (A) Is Amber correct? (B) Explain your reasoning.

Answers

A distribution that is skewed left has exactly the opposite characteristics of one that is skewed right: the mean is typically less than the median; the tail of the distribution is longer on the left hand side than on the right hand side; and. the median is closer to the third quartile than to the first quartile.

A bag contains two red marbles, four green ones, one lavender one, four yellows, and six orange marbles. HINT [See Example 7.] How many sets of four marbles include one of each color other than lavender

Answers

Answer:

192

Step-by-step explanation:

There are a total of 15 marbles . When the lavender is left out 14 remain.

Using combinations we find that each of the four color marbles can be chosen in the following way.

2C1*4C1*4C1*6C1= 2*4*4*6=  192

We select  one of the two red marbles , one of the four green marbles, one of the four yellow marbles, one of the 6 orange marbles leaving the lavender out.. We apply combinations and then multiply to get the answer.

Write the equation of the line in point-slope form that passes through (1, -4) and has a slope of 1/4.

Answers

Answer:

y + 4 =(1/4)(x - 1)

Step-by-step explanation:

The point slope equation is y - k = m(x - h), where (h, k) is the given point and m is the given slope.

In this particular case we have y + 4 =(1/4)(x - 1)

HELP PLEASE! A Blue Jay wanted to store some acorns for the winter. If she hides 18 acorns per tree, she will be left with four acorns; if she hides 20 acorns per tree, there will be extra space for an additional four acorns (the number of trees is always the same). How many acorns is the Blue Jay going to store for the winter, and in how many trees?

Answers

Answer:

Step-by-step explanation:

Let

T = number of trees

A = number of acorns

Given:

A =  18T + 4 ...........................(1)

A = 20T -4 .........................(2)

Equate A from (1) and (2)

20T-4 = 18T+4

simplify and solve for T

20T - 18T = 4+4

2T = 8

T = 4 trees

A = 18T + 4 = 72+4 = 76 acorns, or

A = 20T - 4 = 80 - 4 = 76 acorns.

NEED HELP AS SOON AS POSSIBLE which interval describes where the graph of the function is negative

Answers

Answer:

2 < x < ∞

Step-by-step explanation:

We want where the value of y is less than zero

The value of the graph is  less than zero is from x=2 and continues until x = infinity

2 < x < ∞

Answer:

[tex]\boxed{2 < x < \infty}[/tex]

Step-by-step explanation:

The value of y should be less than 0 for the graph of the function to be negative.

In the graph, when it startes from x is 2 the value becomes less than 0 and it keeps continuing until x is equal to infinity.

[tex]2 < x < \infty[/tex]

What is the value of Sine theta in the diagram below?

Answers

Answer:

C) 24/25

Step-by-step explanation:

did the quiz and got it right

The value of the sine theta in the first quadrant in the diagram given is [tex]\mathbf{\dfrac{24}{25}}[/tex]

What is the trigonometric function in the first quadrant?

The explanation of the trigonometric functions (i.e cosine, sine, tangent) in respect of point coordinates on the unit circle informs us of the signs and meanings of the trigonometric functions for each of the four(4) quadrants, depending on the signs of the x, as well as, y coordinates in each quadrant.

In the first quadrant;

cos(θ) > 0, sin(θ) > 0 andtan(θ) > 0

Thus, we have a positive x and y-axis.

Taking the forms x and y, i.e. (x, y) = (cos θ, sin θ)

The value of sine theta in [tex]\mathbf{(\dfrac{7}{25}, \dfrac{24}{25} ) = \dfrac{24}{25} }[/tex]

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Find two numbers with difference 62 and whose product is a minimum.

Answers

Answer:

31 and -31

Step-by-step explanation:

The two numbers with a difference of 62 and whose product is a minimum are; 31 and -31

Let the two numbers be x and y.

We are told that their difference is 62.

Thus; x - y = 62  ---(1)

We want their products to be minimum. Thus;

f(x,y) = xy

From eq, making y the subject gives us;

y = x - 62

Thus;

f(x) = x(x - 62)

f(x) = x² - 62x

For the product to be minimum, let us find the derivative of f(x) and equate to zero. Thus;

f'(x) = 2x - 62

At f'(x) = 0

2x - 62 = 0

2x = 62

x = 62/2

x = 31

Thus;

y = 31 - 62

y = -31

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how many terms are in the expression 6y+3+y+4y+5​

Answers

Answer:

  5

Step-by-step explanation:

The 5 terms in the expression are ...

  6y

  3

  y

  4y

  5

__

If like terms were combined, the expression could be reduced to one with 2 terms:

  11y +8

Answer:

5 terms

Step-by-step explanation:

In an expression, a term can be a number, a variable, or a number and variable multiplied together. Terms are separated by addition or subtraction.

In the expression:

6y+3+y+4y+5

There are 5 terms. The 5 terms are:

1. 6y

2. 3

3. y

4. 4y

5. 5

We can simplify this expression by combining like terms. We can add the constants (just numbers) and the terms with variables being multiplied by numbers.

6y+3+y+4y+5

(6y+y+4y)+(3+5)

11y+(3+5)

11y+8

A standard deck of cards contains 52 cards. One card is selected from the deck. ​(a) Compute the probability of randomly selecting or . ​(b) Compute the probability of randomly selecting or or . ​(c) Compute the probability of randomly selecting or .

Answers

Answer: See answer in the attached file

Step-by-step explanation:

A heptagon can be divided into how many triangles by drawing all the diagonals from one vertex

Answers

Answer:

5 triangles from the vertex

Answer:

5 triangles from the vertex

Step-by-step explanation:

Listed below are the top 10 annual salaries (in millions of dollars) of TV personalities. Find the range, variance, and standard deviation for the sample data. Given that these are the top 10 salaries, do we know anything about the variation of salaries of TV personalities in general?
42 40 39 31 22 18 15 12 11.7 10.5
____________________________________________________________________________
The Range of the sample data is $[ ] million. (Type an integer or a decimal)
The variance of the sample data is [ ]. (Round to three decimal places as needed.)
The standard deviation of the sample data is $[ ] million. (Round to three decimal places as needed)
Is the the standard deviation of the sample a good estimate of the variation of the salaries of the TV personalities in general ?
A. yes, because the standard deviation is an unbiased estimator
B. no, because the sample is not representative of the whole population.
C. no, because there is an outlier in the sample data.
D. yes, because the sample is random.

Answers

Answer:

If you do not need that actual numbers, the answer is B.

Step-by-step explanation:

In order to find a fully comprehensive study, you would need many more people than just 10, not to mention these are the top 10 people in the world.

(Brainliest would be much appreciated!)

The surface area of a given cone is 1,885.7143 square inches. What is the slang height?

Answers

This question is not complete. This is because it lacks the appropriate diagram containing necessary information to solve this question.

Please find attached the appropriate diagram to solve for this question

Complete Question :

The surface area of a given cone is 1,885.7143 square inches. What is the slant height?

Answer:

25 inches

Step-by-step explanation:

In the diagram, we are given the following information

Height of the cone = 20 inches

Radius of the cone = 15 inches.

The formula for the slant height of a cone represented by l =

l² = r² + h²

l = √(r² + h²)

l = √(15² + 20²)

l = √(225 + 400)

l = √625

l = 25 inches

Therefore, the slant height of this cone = 25 inches

Ingredients

•1 1/2
cups all-purpose flour.
• 31/2 teaspoons baking powder.
• 1 teaspoon salt.
1 tablespoon white sugar.
• 1 1/4 cups milk.
• 1 egg.
• 3 tablespoons butter.


1.) How much of each of the ingredients do you need to make 16 pancakes, 4 pancakes, 12pancakes? Explain which operations with fractions you used to obtain your answer.

Answers

Answer:

To make 16 pancakes, we would multiply each of the initial measurement of the ingredients by 16.

To make 4 pancakes, we would multiply each of the initial measurement of the ingredients by 4.

To make 12 pancakes, we would multiply each of the initial measurement of the ingredients by 12.

see explanation below

Step-by-step explanation:

If the ingredients to make 1 pancake is as follows:

1 1/2  cups all-purpose flour; 31/2 teaspoons baking powder; 1 teaspoon salt.

1 tablespoon white sugar.; 1 1/4 cups milk; 1 egg; and 3 tablespoons butter.

Then to make 16 pancakes, we would multiply each of the initial measurement of the ingredients by 16.

cups all-purpose flour =16× 1 1/2

=  16×3/2 = 24

teaspoons baking powder = 16 ×7/2 = 56

teaspoon salt = 1×16 = 16

tablespoon white sugar= 1×16 = 16

cups milk= 16×5/4 = 20

egg= 1×16 = 16

tablespoons butter= 3×16 = 48

Then to make 4 pancakes, we would multiply each of the initial measurement of the ingredients by 4.

cups all-purpose flour =4× 1 1/2

=  4×3/2 = 6

teaspoons baking powder = 4 ×7/2 =14

teaspoon salt = 1×4 = 4

tablespoon white sugar= 1×4 = 4

cups milk= 4×5/4 = 5

egg= 1×4 = 4

tablespoons butter= 3×4 = 12

Then to make 12 pancakes, we would multiply each of the initial measurement of the ingredients by 12.

cups all-purpose flour =12× 1 1/2

=  12×3/2 = 18

teaspoons baking powder = 12 ×7/2 =42

teaspoon salt = 1×12 = 12

tablespoon white sugar= 1×12 = 12

cups milk= 12×5/4 = 15

egg= 1×12 = 12

tablespoons butter= 3×12 = 36

The operation applied is multiplication with each fraction.

The sum of a number and 9 is subtracted from 60. The result is 10. Find the number.

Answers

Answer:

Number : 41

Step-by-step explanation:

Say that this number is x. The sum of this number ( x ) and 9 subtracted from 60 will be 10. Therefore we can create the following equation to solve for x,

60 - (x + 9) = 10,

60 - x - 9 = 10,

51 - x = 10,

- x = 10 - 51 = - 41,

x = 41

This number will be 41

Help, Please. File attached this time. Sorry

Answers

Answer:

27 degrees

Step-by-step explanation:

Because there is a straight line, all of the angles shown add up to 180, so if you add up all the given angles and subtract it from 180, you will get your answer.

39+86+28=153

180-153=27

Hope this helps. If you have any follow-up questions, feel free to ask.

Have a great day! :)

what equals 1+1= Why can't I see any answers help i logged off etc is it just me?

Answers

Answer:

1 + 1 = 2

Step-by-step explanation:

^

Answer:

no , it's happening to everyone , even I can't see it .

What is the relationship between angle a and angle b A) Vertical Angles B) Complementary Angles C) Supplementary Angles D) None of the above

Answers

Answer:

C. Supplementary

Step-by-step explanation:

Angle a and angle b are on the line CZA.

We can assume that line CZA is a straight line, which is equal to 180 degrees.

Since angle a and b are on the straight line together, they must add to 180 degrees. Therefore, they are supplementary angles.

So, choice C. Supplementary angles is correct.

The function y=−16x2+v0x models the height of a football in feet x seconds after a player kicks it. In the equation of the function, v0 is the ball's initial velocity in feet per second. The ball hits the ground 2 seconds after the player kicks it.



What is the value of ​v0​?

Answers

Answer:

[tex]\large \boxed{\sf \ \ v_0=32 \ \ }[/tex]

Step-by-step explanation:

Hello,

The equation is

[tex]y=f(x)=-16x^2+v_0 \cdot x[/tex]

The ball hits the ground 2 seconds after the player kicks it, it means that f(2)=0.

We need to find [tex]v_0[/tex]  such that f(2)=0.

[tex]f(2)=-16\cdot 2^2+v_0 \cdot 2=-64+2v_0=0\\\\\text{*** add 64 to both sides ***}\\\\2v_0=64\\\\\text{*** divide by 2 both sides ***} \\\\v_0=\dfrac{64}{2}=32[/tex]

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

Answer:

v0 = 32 ft/s

Step-by-step explanation:

I need help for this problem!​

Answers

Answer:

[tex] a = 2.7 [/tex]

Step-by-step explanation:

Distributive property can be used to solve the equation, by multiplying [tex] \frac{2}{3} [/tex] with [tex] 6a, [/tex] and [tex] 9 [/tex]

Thus,

[tex] (\frac{2}{3}*6a) + (\frac{2}{3}*9) = 16.8 [/tex]

[tex] 2*2a + 2*3 = 16.8 [/tex]

[tex] 4a + 6 = 16.8 [/tex]

Subtract 6 from both sides.

[tex] 4a + 6 - 6 = 16.8 - 6 [/tex]

[tex] 4a = 10.8 [/tex]

Divide both sides by 4 to solve for a

[tex] \frac{4a}{4} = \frac{10.8}{4} [/tex]

[tex] a = 2.7 [/tex]

A building has eight levels above ground and one level below ground. The height of each level from floor to ceiling is feet. What is the net change in elevation going from the floor of the underground level to the ceiling of the fourth level above ground? Assume the floor at ground level is at an elevation of zero feet.

Answers

Answer:

72.5 feet

Step-by-step explanation:

The height of each level from floor to ceiling is 14 1/2 feet.

We want to find the net change in elevation going from the floor of the underground level to the ceiling of the 4th level above ground.

In other words, the change in elevation in going 5 floors up.

Each level has a height of 14 1/2 feet (29/2 feet).

Therefore, the height of the fourth level above ground from the underground level will be 5 times the height of one level:

h = 5 * 29/2 = 72.5 feet

The net change in elevation from the floor of the underground level to the 4th level above ground is:

ΔE = [tex]h_4 - h_0[/tex]

[tex]h_0 = 0 feet\\\\h_4 = 72.5 feet[/tex]

Therefore:

ΔE = 72.5 - 0 = 72.5 feet

Answer:

72.5

Step-by-step explanation:

You work in a machine design department and need to specify the diameter of a pin that slides back and forth through a hole. The hole diameter is specified as 0.500 inch with a tolerance of 0.010 inch. The maximum pun diameter must be 0.002 inch smaller than the minimum hole diameter. If the pin diameter has a tolerance of 0.010 inch what diameter in inches should you specify for the pin?

Answers

Answer:

B. 0.478

Step-by-step explanation:

The diameter of the pin is 0.478 inches as per specification.

What are Arithmetic operations?

Arithmetic operations can also be specified by the subtract, divide, and multiply built-in functions.

The operator that perform arithmetic operation are called arithmetic operators.

+ Addition operation : Adds values on either side of the operator.

For example 4 + 2 = 6

- Subtraction operation : Subtracts right hand operand from left hand operand.

for example 4 -2 = 2

The hole diameter is specified as 0.500 inches with a tolerance of 0.010 inches.

The maximum pun diameter must be 0.002 inches smaller than the minimum hole diameter.

Diameter: d = 0.500 inch

Tolerance: t = 0.010 inch

Replacing the values:

⇒ dmax = 0.500  - 0.010 - 0.002 - 0.010

Apply the subtraction operation,

⇒ dmax = 0.478 inch

Hence, the diameter of the pin is 0.478 inches as per specification.

Learn more about Arithmetic operations here:

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Select the correct answer from each drop down menu.


The slope of diagonal OA is
A) 4/3
B) 3/4
C) 1
,and it’s equation is
A) 4x-y=0
B) x-3y=0
C) 4x-3y=0

Answers

Answer:

(A) [tex]\text{The slope of OA is }\dfrac{4}{3}[/tex]

(C) It’s equation is 4x-3y=0.

Step-by-step explanation:

Point O is at (0,0)

Point A is at (3,4)

[tex]\text{Slope of OA}=\dfrac{4-0}{3-0} \\m=\dfrac{4}{3}[/tex]

The equation of a straight line is in the form: y=mx+b

The y-intercept of the line OA=0

Therefore, we have:

[tex]y=\dfrac{4}{3}x+0\\3y=4x+0\\$Subtract 3y from both sides$\\4x-3y=0[/tex]

The equation of the line is: 4x-3y=0

Given the radius of a circle is 7 cm, what is the circumference?

Answers

Answer:

14π or 43.96

Step-by-step explanation:

C = 2πr and we know that r = 7 so C = 14π or 43.96.

find 10th term of a geometric sequence whose first two terms are 2 and -8. Please answer!!

Answers

Answer:

The 10th term is -524,288

Step-by-step explanation:

The general format of a geometric sequence is:

[tex]a_{n} = r*a_{n-1}[/tex]

In which r is the common ratio and [tex]a_{n+1}[/tex] is the previous term.

We can also use the following equation:

[tex]a_{n} = a_{1}*r^{n-1}[/tex]

In which [tex]a_{1}[/tex] is the first term.

The common ratio of a geometric sequence is the division of the term [tex]a_{n+1}[/tex] by the term [tex]a_{n}[/tex]

In this question:

[tex]a_{1} = 2, a_{2} = -8, r = \frac{-8}{2} = -4[/tex]

10th term:

[tex]a_{10} = 2*(-4)^{10-1} = -524288[/tex]

The 10th term is -524,288

the solution of the equation 0=4+4(m+1) is​

Answers

Answer:

[tex]\boxed{m = -2}[/tex]

Step-by-step explanation:

[tex]0 = 4+4(m+1)[/tex]

Resolving Parenthesis

[tex]0 = 4+4m + 4[/tex]

[tex]0 = 4m+8[/tex]

Subtracting 8 to both sides

[tex]-8 = 4m[/tex]

[tex]4m = -8[/tex]

Dividing both sides by 4

m = -8/4

m = -2

Step-by-step explanation:

4+4m+4= 0

4m+8=0

4m=-8

m= -8/4=-2

Consider a triangle ABC like the one below. Suppose that B=36°, C= 62°, and b= 40. (The figure is not drawn to scale.) Solve the triangle.
Round your answers to the nearest tenth.
If there is more than one solution, use the button labeled "or".

Answers

Answer:

A=82°

a= 67.4

c = 60.1

Step-by-step explanation:

For A

A+B+C =180°

A= 180-(B+C)

A= 180-(36+62)

A= 189-(98)

A= 82°

For a

a/sinA= b/sinB

a/sin82= 40/sin36

a= (40*sin82)/sin36

a=( 40*0.9903)/0.5878

a=67.39

Approximately = 67.4

For c

c/sinC= b/sinB

c= (sinC*b)/sinB

c= (sin62*40)/sin36

c =(0.8829*40)/0.5878

c = 60.08

Approximately = 60.1

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Trez Company began operations this year. During this first year, the company produced 100,000 units and sold 80,000 units. The absorption costing income statement for this year follows.Sales 80,000 units x 45 per unit $3,600,000Cost of goods sold - Beginning inventory $__________0 - Cost of goods manufactured (100,000 units x $25 per unit) $2,500,000 - Cost of good available for sale $2,500,000 Ending inventory (20,000 x 25) $500,000 Cost of goods sold $2,000,000Gross margin $1,600,000Selling and administrative expenses $580,000Net income %1,020,000a. Selling and administrative expenses consist of $400,000 in annual fixed expenses and $2.25 per unit in variable selling and administrative expenses.b. The company's product cost of $25 per unit is computed as follows:Direct materials $4 per unitDirect labor $11 per unitVariable overhead $4 per unitFixed overhead ($600,000/ $100,000 units) $6 per unitRequired:Prepare an income statement for the company under variable costing. 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The president had ordered soldiers to enter South America. can someone help me please please A toboggan is sliding down an icy slope. As it goes down, _________ does work on the toboggan and ends up converting __________ energy to _________ energy. Jules adds a border around his mirror. The mirror is shaped like a triangle. Each side is 35\,\text{cm}35cm35, start text, c, m, end text long. How long is the border? Please help mee What is the smallest positive integer whose proper divisors add up to more than the integer itself? For the following right triangle, find the side length x. Round your answer to the nearest hundredth. When an organization with a functional structure diversifies into related product-markets, it generally Multiple Choice maintains its functional structure. develops a divisional structure. develops a matrix structure. develops a worldwide product-division structure. Decide if the following sentence is grammatically CORRECT or INCORRECT. Mi hermano ir a la escuela maana. How is global culture and heritage preservation a global issue? 52.85 rounded to the nearest tenth For the anomer of a D-sugar, the anomeric hydroxyl in a Haworth projection Group of answer choices has an upward projection (on the same side as the terminal CH2OH group). has a downward projection (on the opposite side from the terminal CH2OH group). HurrrrrryryyryyryyryryyryryyyryyryryyryryyryryTo create a state budget, what needs to happen first? The legislature must approve funding for the budget. The executive branch must propose a budget. The judiciary must certify a balanced budget. The governor must ask state agencies for requests. Which answer choice is equivalent to the expression below? Negative 7 (2 + n) + one-third (negative 9 minus 6 n) Negative 17 minus 9 n Negative 14 minus 12 n 11 + 5 n 14 + 2n Read the passage from "The Storyteller. The children moved listlessly towards the aunts end of the carriage. Evidently her reputation as a storyteller did not rank high in their estimation. In a low, confidential voice, interrupted at frequent intervals by loud, petulant questionings from her listeners, she began an unenterprising and deplorably uninteresting story about a little girl who was good, and made friends with every one on account of her goodness, and was finally saved from a mad bull by a number of rescuers who admired her moral character. "Wouldnt they have saved her if she hadnt been good? demanded the bigger of the small girls. It was exactly the question that the bachelor had wanted to ask. "Well, yes, admitted the aunt lamely, "but I dont think they would have run quite so fast to her help if they had not liked her so much. "Its the stupidest story Ive ever heard, said the bigger of the small girls, with immense conviction. "I didnt listen after the first bit, it was so stupid, said Cyril. The smaller girl made no actual comment on the story, but she had long ago recommenced a murmured repetition of her favourite line. Which statement best explain s the situational irony that occurs in the passage? The aunt expects the children to laugh at the story, but they do not. The children expect their aunt to tell a funny story, but she does not. The children do not like the story, even though it is very interesting. The aunt tells a story with a moral, but the children ignore the lesson. James determined that these two expressions were equivalent expressions using the values of x - 4 and x-6.Which statements are true? Check all that apply.7x+4 and 3x+5+4x-1When x-2, both expressions have a value of 18.The expressions are only equivalent for x = 4 and x-6.The expressions are only equivalent when evaluated with even values.The expressions have equivalent values for any value of x.The expressions should have been evaluated with one odd value and one even value.When x-0, the first expression has a value of 4 and the second expression has a value of 5.The expressions have equivalent values if x - 8. Define centre of gravity and centre of Bouyancy