In a certain clothing store, 6 shirts and 3 ties cost $79.50, and 3 shirts and 2 ties cost $41. Determine the cost of each shirt.

a) $10.00
b) $11.00
c) $12.00

Answers

Answer 1

The price of shirt is $12 and the price of tie is $2.5.

According to the statement

We have given that:

Let money spent on shirt = X and money spent on tie is Y.

So, 6X + 3Y = $79.5 and 3X + 2Y = $41 then

We have to find the the cost of each shirts.

Here we use the Elimination method.

Now,

6X + 3Y = $79.5  -(1)

3X + 2Y = $41  -(2)

By elimination method

Multiply (1) by 3 and (2) by 6 then

18X + 9Y = $238.5

18X + 12Y = $246

Then solve it and equation become

-3Y = -$7.5

Y = 2.5

It means the cost of tie is $2.5 and now the cost of shirt is

6X + 3Y = $79.5  

6X + 3(2.5) = $79.5  

6X + 7.5 = $79.5  

6X = $72

X = $12.

So, The price of shirt is $12 and the price of tie is $2.5.

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Related Questions

evaluate the expression

Answers

Answer:

-6

Step-by-step explanation:

Kate was ordering the following rational numbers in math class. Please order them in ascending order:
-4.7 , 11 , 13 , -21 , 8 8/9 , 0 , -6 1/2 , 38 , -73

Answers

The numbers in the ascending order is given by A , where

-73 < -21 < -6 1/2 < -4.7 < 0 < 8 8/9 < 11 < 13 < 38

What is Ascending Order?

When numbers are arranged in ascending order, they are done so from least to largest. We must first compare the numbers before we may arrange them in any order. Compare first, then order. Numbers arranged in ascending order: Determine how many digits each number has.

Given data ,

Let the set of numbers be represented as set P

The value of set P is P = { -4.7 , 11 , 13 , -21 , 8 8/9 , 0 , -6 1/2 , 38 , -73 }

On simplifying the equation , we get

The larger the negative number , the lesser is its value

And , larger the positive number , the greater is its value

So ,

The ascending order of the numbers are

-73 < -21 < -6 1/2 < -4.7 < 0 < 8 8/9 < 11 < 13 < 38

Hence ,

The ascending order is -73 < -21 < -6 1/2 < -4.7 < 0 < 8 8/9 < 11 < 13 < 38

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What is an example of dilate?

Answers

An example of dilation math is a square of side 5 units can be dilated to a square of side 15 units, but the shape of the square remains the same.

What is dilation?Dilation is a transformation, which is used to resize the object. Dilation is used to make the objects larger or smaller. This transformation produces an image that is the same as the original shape. But there is a difference in the size of the shape.In mathematics, a dilation is a function f from a metric space M into itself that satisfies the identity d=rd for all points x, y \in M, where d is the distance from x to y and r is some positive real number. In Euclidean space, such a dilation is a similarity of the spaceTo dilate a figure by a scale factor, multiply both the x-coordinate and the y-coordinate of each point by the scale factor. The new points are (4, -1), (6, -10), and (10, 8)

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Find the value of the remainder. Enter the value of the remainder (only the number, you do not need to place it over the divisor)

Answers

Using synthetic division, the value of the remainder comes out to be -9.

What is synthetic division?

When the divisor is a linear factor, synthetic division is a technique used to carry out the division operation on polynomials. The ability to compute without writing variables when doing polynomial division with the synthetic division makes it an easier technique than the classic lengthy method, which is one of its advantages over the latter.

Two polynomials can be divided using the formula:

p(x)/q(x) = Q(x) + R/(q(x))

where,

The dividend is p(x).

The linear divisor is q(x).

The quotient is Q(x).

The remainder is R

Given expression is [tex]4x^{4} -3x^{3} +6x-10[/tex]

We have to divide this expression by (x + 1) by using synthetic division.

Expression given above can be written as,

4x⁴ - 3x³ + 6x - 10 = 4x⁴ - 3.x³ - 0.x² + 6x - 10

Now on dividing by x = -1 by synthetic division method, we get

-1 |  4     -3     0      6     -10

      -    -4      7     -7       1    

     4    -7      7     -1      -9    

Remainder of the synthetic division will be -9.

Hence, we rewrite the given expression as, [tex]4x^{3} -7x^{2} +7x+1 -\frac{9}{x-9}[/tex]

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Triangulation is a method of finding the location of an object based on measurements made from two other locations.

Answers

Triangulation is the method of finding the location of an object based on the measurements made from the two other locations. The above statement is true statement.

Triangulation is the division of a face or plane polygon into a series of triangles, usually with the limitation that each side of a triangle is fully shared by two adjacent triangles. In geometry, triangulation is the division of planar objects into triangles, or more broadly, the division of high-dimensional geometric objects into simplifications. Triangulation of a 3D volume involves subdivision into packed tetrahedra that directly measure distances to points. It is a method for finding the location of the object.

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evaluate h/4 +(12-y)/3 when h is -12 and y is 3
A.0
B.6
C.8
D.9

Answers

Answer:

A) 0

Step-by-step explanation:

h/4+(12-y)/3

-12/4+(12-3)/3

-3+(9)/3

-3+9/3

-3+3

0

Determine whether the equation is an identity or not an identity.
tan²0 cos² 0 = 1/csc^2 0

a. identity
b. not an identity

Please select the best answer from the choices provided

Answers

Refer to the attached photo.

Find the length of the missing side of the triangle. CORRECT ANSWER GETS SOMETHING IN RETURN!!!

Answers

Answer:

the missing side is 29 so point D or bubble 2

Step-by-step explanation:

use the formula a^2 + b^2 = c^2

20^2 + 21^2 = ?^2 find the answer for the squared values

400 + 441 = ?^2 Add the values

841 = ?^2 in order to get rid of the power square root on both sides

_/- 841 = ? solve

29 = ?

Sophie plotted thee point in the coordinate plane: (1, 1), (–5, 1), (–3, 5), (–1, 5). What hape i created when thee vertice are connected?

Answers

Sophie plotted the point in the coordinate plane: (1, 1), (–5, 1), (–3, 5),      (–1, 5) so, when the vertices are connected the shape formed is a rectangle.

The internal angles of a rectangle, which has four sides, are all exactly 90 degrees. At each corner or vertex, the two sides come together at a straight angle. The rectangle differs from a square because its two opposite sides are of equal length.

A rectangle is a type of quadrilateral that has its parallel sides equal to each other and all four vertices are equal to 90 degrees. Hence, it is also called an equiangular quadrilateral.

Thus, when Sophie plotted the point in the coordinate plane: (1, 1), (–5, 1),  (–3, 5), (–1, 5), the vertices connected form the shape of a rectangle.

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What’s the answer to this math question?

Answers

Answer:

Step-by-step explanation:

So we know what a gradient is = y=mx+c So you have to make a triangle with the 2 numbers touching a line and make a triangle the conects to both of them. and then you will get the answer

What should be added to x2 xy y2 to obtain 2x2 3xy class 7?

Answers

To obtain the equation 2x² + 3xy from x² xy y², you would need to add 1x² and 2xy to the original equation.

In order to obtain the equation 2x² + 3xy from x² xy y², you must add some terms to the original equation. The equation 2x² + 3xy represents a polynomial of degree 2, with x² and xy as the leading terms.

The original equation, x² xy y², is also a polynomial of degree 2, but it does not have the same leading terms as the desired equation.

By adding terms to the original equation, we can change the coefficients of the leading terms to match those of the desired equation. In this case, we need to add 1x² and 2xy to the original equation.

This can be simplified as x² + xy + y² + x² + 2xy = 2x² + 3xy. The polynomial x² and 2xy should be added to x² xy y² to get 2x² + 3xy.

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The sample space for tossing a coin 3 times is {HHH, HHT, HTH, HTT, THH, THT, TTH, TTT}.

Determine P(at least 2 heads).

13%
25%
50%
80%

Answers

Probability of getting at least 2 heads is 50%.

What is Probability?

Probability is simply the possibility of getting an event. Or in other words, we are predicting the chance of getting an event.

The value of probability will be always in the range from 0 to 1.

Given the sample space for tossing a coin 3 times as,

{HHH, HHT, HTH, HTT, THH, THT, TTH, TTT}.

Total number of outcomes in the sample space = 8

At least 2 heads means, heads can be 2 or more, for which the only possibilities are 2 heads or 3 heads.

Number of outcomes having 2 heads = 3

Number of outcomes having 3 heads = 1

P(at least 2 heads) = P(2 heads) + P(3 heads)

                               = 3/8 + 1/8

                               = 4/8

                               = 1/2

                               = 0.5 = 50%

Hence there is a 50% chance for getting at least 2 heads.

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Answer:

Probability of getting at least 2 heads is 50%.

Step-by-step explanation:

What is Probability?

Probability is simply the possibility of getting an event. Or in other words, we are predicting the chance of getting an event.

The value of probability will be always in the range from 0 to 1.

Given the sample space for tossing a coin 3 times as,

{HHH, HHT, HTH, HTT, THH, THT, TTH, TTT}.

Total number of outcomes in the sample space = 8

At least 2 heads means, heads can be 2 or more, for which the only possibilities are 2 heads or 3 heads.

Number of outcomes having 2 heads = 3

Number of outcomes having 3 heads = 1

P(at least 2 heads) = P(2 heads) + P(3 heads)

                              = 3/8 + 1/8

                              = 4/8

                              = 1/2

                              = 0.5 = 50%

Hence there is a 50% chance for getting at least 2 heads.

what is the sum of the measure of the exterior angles of a regular dodecahon

Answers

Answer:

The measure of each exterior angle of a regular dodecagon will be =360∘12=30∘

The price of a TV is 540 omr
In a sale it is reduced by 35%
Work out the sale price.
If you get stuck, consider drawing a diagram.
You may want to use a calculator to work out 35% of
540 first...

Answers

To calculate the sale price, we need to find out how much the TV is discounted by, which we can do by multiplying the original price by the percentage discount (expressed as a decimal).

35% of the original price can be expressed as 0.35.

so,

Discount = 540 omr * 0.35 = 189 omr

To find the sale price, we can subtract the discount from the original price:

Sale price = Original price - Discount

Sale price = 540 omr - 189 omr

So the sale price is 351 omr.

Please help me due tommorow

Answers

Answer:

A)57   film a music video

Step-by-step explanation:

Let x represent measure of angle 1.

We have been given that measure of angle 3 is six more than twice the measure of angle 1. So measure of angle 3 would be .

We are also told that measure of angle 2 is 27 less than measure of angle 3, so measure of angle 2 would be .

We have been given that angle 1, angle 2 and angle 3 form a straight line, so the sum of angles 1, 2 and 3 would be 180 degrees.

Upon substituting the expressions for measure of angles, we will get:

Now, we will combine like terms.

The measure of angle 2 would be .

Therefore, the measure of angle 2 is 57 degrees.  

Give an equation for a logarithmic function that has the following features.

1. The range of the function is (-∞, ∞).
2. The domain of the function is (2, ∞).
3. The vertical asymptote of the function is = 2.
4. The graph does not cross through the point (3, 0).

Answers

Any equation in the variable x that contains a logarithm is called a logarithmic equation.

What are the features logarithmic function?The graphs of all logarithmic functions will have the following characteristics: The graph of logarithmic functions passes through the points (1,0). If the base of a logarithmic function is greater than 1, then the graph increases.Logarithmic functions are the inverses of exponential functions. The inverse of the exponential function y = ax is x = ay. The logarithmic function y = logax is defined to be equivalent to the exponential equation x = ayLogarithms were invented in the 17th century as a calculation tool by Scottish mathematician John Napier (1550 to 1617), who coined the term from the Greek words for ratio (logos) and number (arithmos)Two kinds of logarithms are often used in chemistry: common (or Briggian) logarithms and natural (or Napierian) logarithms. The power to which a base of 10 must be raised to obtain a number is called the common logarithm (log) of the number.

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Write an equation that represents the line.
Use exact numbers.l

Answers

An equation that represents the line is Y is (-4/3)x+2 is the solution.

How can you determine a line's precise equation?

Y = mx+b, where m is the slope and b is the y-intercept, is the formula for a line's slope-intercept (the point on the y-axis where the line crosses it). Replace m with the value you determined for your slope. In our case, the formula might be written as y = 1x+b or y = x+b if the slope value were substituted.

y=(-4/3)

We have two points since x+2 = -1.33x+2:

(3) and (2) are calculated from the graph.

We are aware that the line's equation is

y=mx+b

m=slope

m=(y2-y1)/(x2-x1)

m=(2-(-2))/(0-3)

therefore the slope is what we have

m=4/-3

m=-4/3

-4/3=-1.3333

We must track down "b"

using the example (0,2)

There are

2=m*0+b

2=b

Finally, here is

Y=(-4/3)x+2 is the solution.

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What is quadrant class 9?

Answers

Quadrant Class 9 is a level of mathematics taught in secondary school in the United Kingdom. It is the equivalent of Algebra 1 and Geometry combined in the United States.

This class teaches students how to graph equations, solve equations, and use the properties of shapes to solve problems. Quadrant Class 9 also covers the basics of calculus, such as derivatives, integrals, and limits.

The main focus of Quadrant Class 9 is on graphing equations. Students learn how to plot points on a graph, connect the points to make a line or curve, and solve equations by finding the intersection of two lines. They also learn how to graph the solutions of inequalities and identify the domain and range of a function.

In addition to graphing, students learn how to solve equations using basic algebraic principles, such as the order of operations and the distributive property. They also learn how to solve systems of equations, manipulate polynomials, and find the roots of a quadratic equation.

Quadrant Class 9 also covers the basics of geometry, such as the Pythagorean Theorem, the properties of triangles, and the area and perimeter of shapes. Students learn how to use these skills to solve problems involving angles, area, and volume.

Overall, Quadrant Class 9 is a challenging and rewarding mathematics class that prepares students for higher-level math classes in the future.

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Translate the sentence into an algebraic equation. Use x for the variable.

“The sum of a number and 4 is multiplied by 2 and the result is -30.”

Answers

Answer:

2(x+4)=-30

Step-by-step explanation:

A rectangle has side lengths, in centimetres, of r and r-3
a)Write a sentence to explain why r>3.
b)The perimeter of the rectangle is smaller than 26 cm. Use this information and your answer to part a) to write a double inequality for r.

Answers

a) The reason for which r > 3 is because a side length in a figure cannot assume a negative value.

b) The double inequality for r is given as follows: 3 < r < 8.

How to obtain the perimeter of a rectangle?

The perimeter of a rectangle of base b and height h is given by the equation presented as follows:

P = 2(b + h).

The dimensions for this problem are given as follows:

b = r.h = r - 3.

The perimeter of the rectangle is smaller than 26 cm, hence the inequality is defined as follows:

P < 26.

2(b + h) < 26

b + h < 13 (simplifying by 3 both sides of the inequality).

r + r - 3 < 13

2r < 16

r < 8.

Hence the double inequality is defined as follows:

3 < r < 8.

As a side length cannot be negative nor zero, hence it is also needed that r - 3 > 3 -> r > 3.

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Question 19xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx

Answers

Answer:

1

Step-by-step explanation:

[tex]\mathrm{\cfrac{3^5\times\:10^5\times\:25}{5^7\times\:6^5}}[/tex]

Factor:

6^5= 2^5*3^5

10^5= 2^5*5^5

25 = 5^2

[tex]\mathrm{\cfrac{3^5\times\:2^5\times\:5^5\times\:5^2}{5^7\times\:2^5\times\:3^5}}[/tex]

3^5*2^5*5^5*5^2 = 3^5*2^5*5^7

[tex]\mathrm{\cfrac{5^7\times\:3^5\times\:2^5}{5^7\times\:2^5\times\:3^5}}[/tex]

Now, cancel common factor:-

[tex]\mathrm{3^5\times\:2^5\times\:5^7}[/tex]

[tex]\mathrm{1}[/tex]

-Hope this helps!

Three grade 8 classes decided to raise money for 2 charities by selling boxes of greeting cards. A box of cards cost $3.80 from the supplier and sold for $6.00. One class sold 150 boxes, the second 175, and the third 225. If the proceeds were divided equally between the 2 charities, how much did each receive?

Answers

The amount each charity received is $605

How much did each charity receive?

The first step is to determine the total number of boxes sold.

Total boxes sold = 150 + 175 + 225 = 550

The next step is to calculate the profit made from the sales.

Profit = (selling price - cost price) x total boxes sold

Profit = ($6 - $3.80) x 550

Profit = 2.20 x 550 =1210

Amount each charity received = $121/ 2 = $605

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−0.125x + 7 = 16
Solve for x
Show work

Answers

Answer:

-72

Step-by-step explanation:

-0.125x=16-7

-0.125x=

x=-72

Answer:

x = -72

Step-by-step explanation:

Given equation,

→ -0.125x + 7 = 16

Now we have to,

→ Find the required value of x.

Then the value of x will be,

→ -0.125x + 7 = 16

Subtract RHS with the number 7:

→ -0.125x = 16 - 7

→ -0.125x = 9

Divide RHS with the number -0.125:

→ x = 9 ÷ (-0.125)

→ [ x = -72 ]

Hence, the value of x is -72.

How do you construct a perpendicular bisector of Class 9?

Answers

A perpendicular bisector is a line that intersects a segment of a line at its midpoint, forming two equal segments.

To construct a perpendicular bisector of a line segment in class 9, the following steps should be followed:

1. Draw the line segment and mark the midpoint of the segment.

2. Take a compass and place the point at the midpoint of the line segment.

3. Adjust the width of the compass such that it is slightly greater than half the length of the line segment.

4. Make an arc above and below the line segment.

5. Draw a line through the two points of intersection of the arc and the line segment. This line is the perpendicular bisector of the line segment.

The formula for the perpendicular bisector is (x - x1) / (x2 - x1) = (y - y1) / (y2 - y1), where (x1, y1) and (x2, y2) are the coordinates of points on the line segment.

To calculate the perpendicular bisector of the line segment:

1. Calculate the midpoint of the line segment using the midpoint formula (x1 + x2) / 2 and (y1 + y2) / 2.

2. Substitute the coordinates of the midpoint and the endpoints into the perpendicular bisector formula.

3. Solve the equation to find the equation of the perpendicular bisector.

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Is an R-squared value of 0.8 good?

Answers

In some fields, a good R-Squared reading could be required to meet criteria of 0.9 or above. An R-Squared value above 0.7 is typically regarded as indicating a high level of correlation in the financial industry, whilst a value below 0.4 would indicate a low level of correlation.

What Exactly Is Residual Value?

The estimated value of an asset that is fixed at the end of its useful life or lease term is its residual value, which is often referred to as salvage value. In lease agreements, the residual value is one of the lessor's main methodologies for calculating the lessee's periodic lease payments.

A good residual value is what?

Check out the Car Lease Ratings section of our Lease Kit for a complete list of high-residual vehicle brands and models.

                  A car is probably not a good lease deal if the lease-end residual value is less than 50% of the MSRP (for a 36-month lease). 55% to 65% of MSRP would be a nice residual.

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Jonathan needed to get his computer fixed. He took it to the repair store. The technician at the store worked on the computer for 3 hours and charged him $141 for parts. The total was $336. Write and solve an equation which can be used to determine xx, the cost of the labor per hour.

Answers

The required equation is x × 3 = 336 - 141. The cost of the labor per hour is $65.

What is an equation?

The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.

Let x be the cost of the labor per hour.

We know that

x × 3 = labor cost

141 + x × 3 = total cost

We also know that the total cost is $336

So we can write the equation:

141 + x × 3 = 336

Solving for x:

x × 3 = 336 - 141

x × 3 = 195

x = 195/3

x = 65

Therefore, the cost of the labor per hour is $65.

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a cylinder with a radius of 3 cm and a height of 7 cm. What Is the volume?

Answers

Answer:

Volume: 197.92

Formula: π r² h

Step-by-step explanation:

pls help me with thiss bru,h

Answers

Can’t see the picture
d. 5/8

if you count the amount of lines or empty spaces between 0 and 1, you get 8. the red dot falls on the 5th line. therefore 5/8

Please help I need help

Answers

Answer: e, a, f, c

Step-by-step explanation:

v evenly cuts through line tv and line VS. you can tell because the single line on each side....... rest should be correct

The diagram shows a sector of a circle radius 11cm angle of sector 135 degrees, show that the perimeter of the sector is greater than 47.5

Answers

the perimeter of the sector is not greater than 47.5.

What is Perimeter?

The perimeter of a form is the space surrounding its edge. Find the perimeter of various forms by summing the lengths of their sides.

Given,  a sector of a circle radius of 11 cm angle of sector 135 degrees

From the general formula of the Perimeter of the circle:

perimeter = 2 * pi * radius

In our case radius = 11 cm

Thus,

Perimeter = 2 * pi * 11

Primetime = 69.14

Since the arc is 135 degrees

Perimeter of arc = 135/360 * perimeter of whole circle

Perimeter of arc = 135/360 * 69.14

The perimeter of the arc = 25.925cm

Therefore,  the perimeter of the sector is not greater than 47.5.

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PLS COME QUICK ASAP!!!!!!IIM TIMED!!!!!If I found a magic lamp and I could have one wish, I would wish that I had a normal face that no one ever noticed at all. I would wish that I could walk down the street without people seeing me and then doing that look-away thing. Here's what I think: the only reason I'm not ordinary is that no one else sees me that way.WonderR.J. PalacioIf you are not sure whether you understand the last sentence, what could you do?A. Move on to the next part of the story.B. Reread the paragraph carefully.C. Make a prediction about what might happen next. Please can I have the workings too Write a short definition for the prediction step of previewing. Which of the following BEST serves as an example of how NativeAmericans were often treated unjustly as white settlers migrated west? the nullification crisisthe Dred Scott decisionWounded Knee MassacreBoston Massacre PLEASE HELP WILL GIVE BRAINLIEST!!! put "Environmental Pressure" in a sentence Thermodynamic ProcessesTwo moles of a monatomic ideal gas at (5 MPa, 5 L) is expanded isothermally until the volume is doubled (step 1). Then it is cooled isochorically until the pressure is 1 MPa (step 2). The temperature drops in this process. The gas is now compressed isothermally until its volume is back to 5 L, but its pressure is now 2 MPa (step 3). Finally, the gas is heated isochorically to return to the initial state (step 4). (a) Draw the four processes in the pV plane. (b) Find the total work done by the gas. A wave hits an object as shown. A vertical line with Medium 1 to the left and Medium 2 to the right. An arrow from the left reaches the line. An arrow starts from the same point on the line and goes right at a different angle. Which kind of wave interaction is shown? Berapakah volume bangun di atas?Pake cara yya ! PLS I NEED ANSWERSS a a a a a a PLEASE HELP !! ILL GIVE BRAINLIEST *EXTRA POINTS*.. IM GIVING 40 POINTS !! DONT SKIP :((. Use the table definitions of H(t) and r(t) shown below to find (H o r)(3.0) Dogs run a track for exercise. Barkley crosses the starting point every 6 minutes, Pal every 4 minutes and Spot every 8 minutes. How many minutes will it take for all of these dogs to cross at the same time? Factor the polynomial using the greatest common factor.4x9 + 3x2. 2x Which language gives instructions on how text should appear on a web page?__Blank__ language gives instruction on how text should appear on a web page. Somebody plss (kinda easy tho) Pleasssseeeee help its almost due Conducting scenario analysis helps managers see the: potential changes in long-term debt over the course of a proposed project. impact an individual variable has on the outcome of a project. potential range of outcomes from a proposed project. distribution of funds for capital projects under conditions of hard rationing. possible range of market prices for a firm's stock over the life of a project. Yes, my friend, I said: and there lies the point. You must contrive for your future rulers another and a better life than that of a ruler, and then you may have a well-ordered State; for only in the State which offers this, will they rule who are truly rich, not in silver and gold, but in virtue and wisdom, which are the true blessings in life. Whereas if they go to the administration of public affairs, poor and hungering after their own private advantage, thinking that hence they are to snatch the chief good, order there can never be; for they will be fighting about office, and the civil and domestic broils which thus arise will be the ruin of the rulers themselves and of the whole State.Most true, he replied.And the only life which looks down upon the life of political ambition is that of true philosophy. Do you know of any other? Charlotte bought 16 songs. One fourth of the songs are pop songs. How many of the songs are pop songs? Group of answer choices 12 4 16 1 Flag this Question Question 5