Pauline plots the numbers 4 1/3 and -51/8 on a number line. Explain how she can use the number line to determine which number is greater . Write an ineaquality to compare the bumbers

Answers

Answer 1

The required inequality is 4¹/₃ > -5¹/8.

What is inequality?

Inequality shows relation between two expression which are not equal to each others.

The given numbers are 4¹/₃ and -5¹/8.

The numbers are plotted on the number lines below,

To determine the number which is greater,

The number which is greater than zero will be greater from the numbers 4¹/₃ and -5¹/8.

4¹/₃  is a greater number.

The inequality can be written as,

4¹/₃ > -5¹/8.

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Pauline Plots The Numbers 4 1/3 And -51/8 On A Number Line. Explain How She Can Use The Number Line To

Related Questions

The graph shows the amount of gas that Dario's car uses to travel different distances.

Complete the statement about the graph.

Gas Mileage

100

The number of miles is always

20

times

90

the number of gallons of gas.

80

70

Dario's car can travel

?

miles using

60

12 gallons of gas

Distance Traveled (miles)

50

40

30

20

.

10

0

0 1 2 3

4 5 6 7 8 9 10

Gas (gallons)

Answers

Answer: 46 miles

Step-by-step explanation: according to my calculations i minus te total mileage gas times the current philosphy of the number of gallons with 50 - 30

Help please and asap thank you asap !!!!!!

Answers

Answer:

F(x) = m1/5

Step-by-step explanation:

M1/5
Hope this helps!

. Graph the function f(x) = x
^2 + 7x + 10 on the coordinate plane.

Answers

The graph of the function f(x) = x² + 7x + 10 is attached.

What is the general equation of a parabola?

A parabola refers to an equation of a curve, such that a point on the curve is equidistant from a fixed point, and a fixed line. The fixed point is called the focus of the parabola, and the fixed line is called the directrix. The general equation of a parabola is -

y = a(x - h)² + k

We have the following equation of a quadratic equation representing parabola as -

f(x) = x² + 7x + 10

Refer to the graph of the function f(x) attached. It can be seen that it is a parabola opening upwards.

Therefore, the graph of the function f(x) attached.

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what are numbers with exactly three prime factors?

Answers

Answer:30

Step-by-step explanation:

30 is the smallest number that has three different prime factors.

30


1 x 30
2 x 15
3 x 10

Which rectangle has side lengths of 5 units and 6 units?

Answers

The rectangle that has side lengths of 5 units and 6 units is (b) the rectangle that has a perimeter of 22 units

How to determine the rectangle?

The complete question is added at the end of this solution

From the complete question, we have the following parameters that can be used in our computation:

Side lengths = 5 units and 6 units

These side lengths can be represented as

Length = 5 units

Width = 6 units

The area of a rectangle is calculated as

Area = Length * Width

Substitute the known values in the above equation, so, we have the following representation

Area = 5 units * 6 units

Area = 30 square units

The perimeter of a rectangle is calculated as

Perimeter = 2 * (Length + Width)

Substitute the known values in the above equation, so, we have the following representation

Perimeter = 2 * (5 units + 6 units)

Perimeter = 22 units

Comparing the above to the options, we have

(b) The rectangle with a perimeter of 22 units

Hence, the true statement is (b)

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Possible question

Which rectangle has side lengths of 5 units and 6 units?

(a) The rectangle with an area of 22 square units

(b) The rectangle with a perimeter of 22 units

(c) The rectangle with a perimeter of 22 square units

(d) The rectangle with an area of 30 units

As a project manager, you need to plan production runs over the next 3 1/2 weeks. If your team is able to produce 1,250 widgets in one week, how many widgets can they produce in 3 1/2 weeks?

Answers

Answer: 4,375.

Step-by-step explanation: If your team is able to produce 1,250 widgets in one week, then in 3 1/2 weeks, they will be able to produce 3 1/2 * 1,250 = <<3.5*1250=4375>>4,375 widgets.

Factor completely ^2-7r-18

Answers

You have to fix it I can’t read it

If a six-sided number cube is rolled 5 times, what is the probability of getting at least one multiple of 3?

Answers

The probability of getting at least one multiple of 3 when a six-sided number cube is rolled 5 times is 1/7776 or 0.01%.

What is probability?

Probability shows the likelihood of an event happening.  it can be calculated by dividing the number of outcomes of an event by the total number of possible outcomes or sample space. Probability is equal to '1' when the event is certain to occur. i.e P =1.

Probability of getting at least one multiple of 3 = 1/6.

Probability of getting at least one multiple of 3 five times = probability of getting at least one multiple of 3 first time×probability of getting at least one multiple of 3-second time×probability of getting at least one multiple of 3 third time ×probability of getting at least one multiple of 3 fourth time ×probability of getting at least one multiple of 3 fifths time.

Probability of getting at least one multiple of 3 five times

= (1/6) × (1/6) × (1/6) × (1/6) × (1/6)

= 1/7776.

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What is the average rate of change of this function on the interval from x = 1 to x = 3? f(x)=10(2)x Enter your answer in the box.

Answers

Answer:

30

Step-by-step explanation:

The way to figure out the average rate of change is to divide the change in f(x) and divide that by the change in x. A formula for this is [tex]\frac{f(x_{1})-f(x_{2})}{x_{1}-x_{2}}[/tex]
1.) By this definition, we need to figure out our x1 and x2. We can say the x1 = 3 and x2 = 1
2.) Next, we plug it into the formula. We will get [tex]\frac{f(3)-f(1)}{3-1}[/tex].

3.) If we simplify, we will get 10(2)^3 - 10*2 divided by 2, which is equal to 10*4 - 10 = 30.

PLEASE HELP!
Which translation rule matches the transformation for congruent triangles?

Answers

The translation applied to the triangle is:

T(x, y) → (x +4, y - 5)

Sp the correct option is the first one.

Which is the rule of the translation from GHI to G''H''I''?

To analyze the translation we only need to compare the coordinates of one of the vertices.

Let's see the vertex H.

The coordinates of H are (-4, 1)

The coordinates of H'' are (0, -4)

Then the translation is defined by the difference between these coordinates:

(0, -4) - (-4, -1) = (4, -5)

Then the translation here is:

T(x, y) → (x +4, y - 5)

So the correct option is the first one.

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John's bank account was overdrawn. The status of his account was -107. He did not realize the problem and wrote another check for $43. The bank charged him a $22 fee for being overdrawn.

Answers

Answer: -$155

Step-by-step explanation:

Using this formula

New status=(-Account status-Cheque amount)-Bank charges

Let plug in the formula

New status= (-$112-$22)-$21-

New status=-$134-$21

New status=-$155

Inconclusion The new status of John's account at this point is -$155

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Given f(x) =(4-x)², what is the value of f(16)?

Answers

Answer:

144

Step-by-step explanation:

Answer:48

Step-by-step explanation:

Wherever you see an x on the right, you put a 16. That's what f(16) means.

f(16) = 1/3 (4 - 16)^2

f(16) = 1/3 (- 12)^2

f(16) = 1/3 (144)

f(16) = 48

As a construction worker, you are building a cylindrical grain silo with a radius of 10 meters and a volume of 6,280 cubic meters.

Which formula will determine the height of the silo? Rounded to the nearest whole number of meters, what is the height of the silo?
, 6 meters
, 14 meters
, 20 meters
, 25 meters
, 80 meters

Answers

Answer:

[tex]h=\frac{V}{\pi r^{2} }[/tex], 20 meters

Step-by-step explanation:

The formula for the volume of the silo is: [tex]V=\pi r^{2} h[/tex]

You are given:

Volume= 6,280 cubic meters

Radius= 10 meters

Therefore, you can solve for the height by getting h on it's own side.

The formula for the height of the silo is given by:  [tex]h=\frac{V}{\pi r^{2} }[/tex]

Now solve using the given values:   [tex]h=\frac{6,280}{\pi (10)^{2} }[/tex]

The height of the silo = 20 meters

If h(x)=5x-6 which expression is equivalent to (h+h)(2)?
A 5(2+2)-6
B 5[5(2)-6]-6
C 52-6+52-6
D 5(2)-6+5(2)-6

Answers

The equivalent of (h+h)(2) of the function h(x) = 5x - 6 is 5[5(2) - 6] -6 which is option B

What is a function?

A technical definition of a function is: a relation from a set of inputs to a set of possible outputs where each input is related to exactly one output.

This means that if the object x is in the set of inputs (called the domain) then a function f will map the object x to exactly one object f(x) in the set of possible outputs (called the codomain).

h(x) = 5x - 6

(h + h)(x) = h(x) in x. This means put the function in h(x)

so x = 5x - 6

so (h + h)(x) = 5(5x-6) -6

if x = 2,

we have (h + h)(2) = 5[5(2) -6] -6

In conclusion the expression  5[5(2) -6] -6 is equivalent to (h+h)(2)

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20 points and brainliest

Answers

Answer:

A,B,C

Step-by-step explanation:

the number in x has to be a different number it can't be the same

example:

2x+3=5x+79

wrong way:

5x+3=5x+79

that equals no solution

hope this helps

The perimeter of a rectangle is 34 centimeters. The length is two more than twice the width. Find the length and the width of the rectangle.

Answers

The length of a rectangle is 12 units and width is 5 units.

What is Algebra?

A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.

To determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.

Given that the Perimeter of a rectangle = 34 cm.

and, length is two more than twice the width.

Thus the width be x.

So, the length = 2x + 2

So,

Perimeter of rectangle = 2 ( l +w )

34 = 2( x+ 2x+ 2)

17 = 3x +2

3x = 15

x= 5

2(5)+2 = 12

So, The length is 12 units and width is 5 units.

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Which of the following points lie on a line that passes through the origin with a slope of −25? Select all that apply. Multiple select question. cross out A) (0, 0) cross out B) (1, −25) cross out C) (−2, 5) cross out D) (−1, 25) cross out E) (4, 10) cross out F) (−5, 2)

Answers

The points that will lie on the line will be (0, 0) , (1, - 25) , (- 1, 25).

What is the general equation of a straight line?

The general equation of a straight line is : y = mx + c.

[m] is called slope and it tells the unit rate of change in [y] with respect to [x].

[c] is called the [y] - intercept.

We have some points that lie on a line that passes through the origin with a slope of −25.

The equation of a straight line that passes through the origin and has slope of -25 will be -

y = - 25x

The points that will lie on the line will be -

(0, 0) , (1, - 25) , (- 1, 25)

Therefore, the points that will lie on the line will be (0, 0) , (1, - 25) , (- 1, 25).

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Could someone please help me with this?

Answers

Answer: yes, 1/3, 1/3x

Step-by-step explanation:

Does x vary directly with y?

This basically means is this a linear function and the answer is yes it is.

What is the constant of variation?

The constant of variation is 1/3 because you have to multiply each x value by 1/3 to get the y value

What is the function rule?

y = 1/3x

help pls asap The polygon circumscribes a circle. What is the perimeter of the​ polygon?

Answers

Applying the two-tangent theorem, the perimeter of the polygon = 70 cm.

What is the Perimeter of a Polygon?

To find the perimeter of a polygon, sum all the side lengths of the polygon all together.

What is the Two-tangent Theorem?

If two tangent segment of a circle are drawn to meet at a point outside the circle, the two-tangent theorem says they are congruent together, that is, they have equal length.

Applying the two-tangent theorem, the following side lengths that are missing as labelled in the diagram attached below are:

a = 13 cm

b = 9 cm

c = 5 cm

d = 8 cm

Therefore:

Perimeter of the polygon = 13 + a + b + 9 + 5 + c + d + 8

Plug in the values

Perimeter of the polygon = 13 + 13 + 9 + 9 + 5 + 5 + 8 + 8 = 70 cm.

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What is the Minimum value of k=

Answers

Answer:

k = -3

Step-by-step explanation:

Lines in the form y=k are horizontal. The lowest point on the parabola has a y-value of -3. That is the value where y=-3 will intersect the parabola at exactly one point. Every k value above this will have 2 points of intersection.

(-6) • (-2) what is it the

Answers

The answer is positive 12

[tex]\fbox{12}[/tex]

When multiplying two negative numbers, the answer will always be positive.

[tex]-6\times-2[/tex]

[tex]=12[/tex]

ASAP PLEASE FOR POINTS
A regular polygon is shown, with one of its angle measures labeled a



If m z=15
z=20
Z=23
Z=41

Answers

Answer:

Step-by-step explanation:

"Let U={b, c, d, e, f, g, h} and A={b, f, g, h}. Use the roster method to write the set A'
A'= {____ }

(Use a comma to separate answers as needed.)"

Answers

If U = {b, c, d, e, f, g, h} and A = {b, f, g, h}, using the roster method to write the set A' which is the set complement of A gives; A' = {c, d, e}

How to find the complement of the set?

Sets are defined as groups of clearly specified components. The number of items that exist in a finite set is denoted by a curly bracket.

We are given;

Universal Set U = {b, c, d, e, f, g, h}

Subset A = {b, f, g, h}.

The roster method to write the set A' which is the complement of A will be expressed as;

A' = U - A

Thus;

A' = {b, c, d, e, f, g, h} - {b, f, g, h}

A' = {c, d, e}

The roster method to write the set A' will be {c, d, e}.

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Which equation represents a line passing through the point (8, 33) with a slope of 3?

Answers

Answer:

y = 3x + 9

Step-by-step explanation:

y = 3x + b

33 = 3(8) + b

33 = 24 + b

b = 9

y = 3x + 9

Could you please give me brainliest for this? Thank you!


If $8000 is invested at an annual interest rate of 5% and compounded annually, what is the balance after 4 years?

Answers

Answer: 7 years

Step-by-step explanation:  

We make the assumption that 8000 is 100% since it is our output value.

Step 2: We next represent the value we seek with $x$.

Step 3: From step 1, it follows that $10\%=8000$.

Step 4: In the same vein, 100%=8000$.

So divide that by 5% 0.05%

Then multiply it by 5   0.0025%

Then convert it into money  26$

Jenny had 947 marbles.

She gave 515 of these marbles away.

How many marbles does she have left?

Answers

She has 432 marbles left

Answer: 432

Step-by-step explanation:  947- 515 = 432.

My subtracting 515 from 947, the answer becomes 432. You can double check this statement by adding 515 and 432 together.

Cari is searching online for airline tickets. Two weeks​ ago, the cost to fly from boston to denver was ​$220. Now the cost is ​$295. What is the percent​ increase? What would be the percent increase if the airline charges an additional​ $50 baggage fee with the new ticket​ price?

Answers

The percent increase with the additional baggage fee for airline would be $125 / $220 x 100% = 56.82%.

What is meant by the term percentage?

A number can be expressed as a fraction of 100 using a percentage. It may be computed by dividing the number by the total and multiplying by 100. It is commonly represented by the sign "%". The percentage of men, for instance, would be 25/100 x 100, or 25%, if there were 100 persons in all.

In a variety of areas, including statistics, finance, and education, percentages are often employed. For instance, in finance, percentage increase in stock prices are used to gauge a market's or company's success. In education, grades are frequently given as percentages to represent class marks.

How to solve?

The increase in the cost of the ticket is $295 - $220 = $75

The percent increase is $75 / $220 x 100% = 34.09%.

If the airline charges an additional $50 baggage fee, the new ticket price would be $295 + $50 = $345.

The increase in the cost of the ticket with the additional baggage fee would be $345 - $220 = $125.

The percent increase with the additional baggage fee would be $125 / $220 x 100% = 56.82%.

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For the functions f(x) = 2x-5 and g(x) = 3x²-x, find (fog)(x) and (gof)(x).

Answers

The fog(x) of the function will be 6x² -2x - 5 and gof(x) of the function will be 12x² + 62x - 80.

What is the domain of a function?

The collection of values that can be plugged into a function's domain is called its parameters. The x values for a function like f(x) are contained in this collection (x). The collection of numbers that the operator assumes is known as its range.

As per the given information in the question,

f(x) = 2x - 5 and,

g(x) = 3x² - x

fog(x) = 2x - 5 and,

gof(x) =  2x - 5

fog(x) = f(g(x))

= f (3x² - x) = 2(3x² - x) -5

= 6x² -2x - 5

gof(x) = g(f(x))

= g (2x - 5) = 3(2x - 5)² + 2x - 5

= 12x² - 75 + 60x + 2x -5

12x² + 62x - 80.

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An urn contains 100 marbles. Fifty are purple, ten are green,
fifteen are red, and twenty-five are orange. Two marbles are drawn
at random one after another without replacement. Calculate each probability.

Answers

The probability of picking a purple and green marbles is 0.05.

What is a probability?

Probability is the occurence of likely events. It is the area of mathematics that deals with numerical estimates of the likelihood that an event will occur or that a statement is true. An event's probability is a number between 0 and 1.

Number of purple marble = 50

Number of green marbles = 10

Total number of marbles = 100

The probability of picking a purple and green marbles will be:

= 50/100 × 10/99

= 0.05

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Complete question

A urn contains 100 marbles. Fifty are purple, ten are green, fifteen are red, and twenty-five are orange. Two marbles are drawn at random one after another without replacement. Calculate the probability of picking a purple and green marbles

During WW! mortars were fired from trenches 3 feet down The mortars had a velocity of 150 ft/s. Determine how long it will take for the mortar shell to strike its target?

Answers

In 0.02 seconds, the mortar shell will make contact with the target.

How to determine the time it will take the mortar shell to strike the target

The formula for velocity, which is equal to distance / time, is used to calculate how long it will take to hit the target.

In the problem, the distance is 3 feet, and the velocity is given to be 150ft/s

therefore

150 = 3 / time

time = 3 / 150

time = 0.02 seconds

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Group of answer choicesthe revolution stalled because the king reestablished control of FranceThe Estates General responded by sending diplomatsThe U.S. Congress sent soldiers to support FranceRevolutionaries took radical action and prepared for war Given files code below: ONLY MyMaze.java should be updated, the others are just helper code and interfaces.Cell.java/*A Maze is made up of Cells*/public class Cell {private boolean visited; // whether the cell has been visited (true if visited, false if not visited)private boolean right; // whether the cell has a right border (true if a right boundary, false if an open right)private boolean bottom; // whether the cell has a bottom border (true if a bottom boundary, false if an open bottom)// All cells are initialized to full wallspublic Cell(){visited = false;right = true;bottom = true;}/*********** Setter functions**********/public void setVisited(boolean visited) { this.visited = visited; }public void setRight(boolean right) { this.right = right; }public void setBottom(boolean bottom) { this.bottom = bottom; }/*********** Getter functions**********/public boolean getVisited() { return visited; }public boolean getRight() { return right; }public boolean getBottom() { return bottom; }}MyMaze.javaimport java.util.Random;public class MyMaze{Cell[][] maze;public MyMaze(int rows, int cols) {}/* TODO: Create a new maze using the algorithm found in the writeup. */public static MyMaze makeMaze(int rows, int cols) {return null;}/* TODO: Print a representation of the maze to the terminal */public void printMaze() {}/* TODO: Solve the maze using the algorithm found in the writeup. */public void solveMaze() {}public static void main(String[] args){/* Any testing can be put in this main function */}}NGen.java// NGen.java// A *simplified* generic node class for use with the Stack1Gen class// and other data structures as desired; uses generics for the datapublic class NGen {// constructorspublic NGen () {}public NGen (T o, NGen link) {data = o;next = link;}// selectorspublic T getData() {return data;}public void setData(T o) {data = o;}public NGen getNext() {return next;}public void setNext(NGen link) {next = link;}// instance variablesprivate T data;private NGen next;} // NGen classQ1Gen.java// Q1Gen.java// Generic queue implementation using a linked list of nodes (see NGen.java)public class Q1Gen implements QGen {// constructorpublic Q1Gen () {}// selectorspublic void add(T o) {if (size == 0) {front = new NGen (o, null);rear = front;}else {rear.setNext(new NGen (o, null));rear = rear.getNext();}size++;}public T remove() {T answer;if (size == 0)return null;answer = front.getData();front = front.getNext();size--;if (size == 0)rear = null;return answer;}public int length() {return size;}public boolean isEmpty() { return size == 0; }private int size;private NGen front;private NGen rear;} // Q1Gen classQGen.java// QGen.java// Queue Interface for a generic queuepublic interface QGen {void add(T o);/* adds an object o to a queue placing it in the order of arrivalrelative to other items added to the queue--first in, first out(FIFO) */T remove();/* removes and returns the object placed in a queue priorto any other items presently in the queue */int length();/* returns the integer quantity of items currently present in thequeue */} // QGen InterfaceStack1Gen.java// Stack1Gen.java// The StackGen Interface is implemented using a linked list// The linked list used is a simple generic node class called NGen. (See NGen.java)public class Stack1Gen implements StackGen {// constructorpublic Stack1Gen () {}// selectorspublic void push(T o) {start = new NGen (o, start);}public T pop() {if (start == null)throw new RuntimeException("Tried to pop an empty stack");else {T data = start.getData();start = start.getNext();return data;}}public T top() {if (start == null)return null;else return start.getData();}public boolean isEmpty() {if (start == null)return true;else return false;}// instance variablesprivate NGen start = null;} // Stack1Gen classStackGen.java// StackGen.java// A Possible Generic Stack Interface// Identify the methods as absolutely necssary, nice to have,// or redundantpublic interface StackGen {// Interface for a Generic Stackpublic void push(T o);/* adds an object o to the top of a stack by placing it in thereverse order of arrival relative to other items added to thestack; that is, last in, first out (LIFO) */public T pop();/* removes and returns the object placed in a stack most recentltrelative to any other items presently in the stack */public T top();/* returns the Object placed in a stack most recently, or nullif the stack contains no items */public boolean isEmpty();/* returns true when a stack currently contains no items, falseotherwise */} // StackGen Interface The length of a rectangle is two feet greater than twice its width. If the perimeter is 25 feet, find the width which of the following is correct 25=2L+2(2+2W) as a crude model, assume that an particle consists of two pointlike protons attracted by a hooke's-law spring with spring constant k , and ignore the neutrons. assume further that in the absence of other forces, the spring has an equilibrium separation of zero. write an expression for the potential energy when the protons are separated by distance d . 3 Isosceles Trapezoid128y is to the left of itX is diagonal to itWhat is x and y in what way is each and every one of the economies of the more than 200 countries of the world similar? I need help fast please!! Name the Property of Congruence that justifies the statement:A. Symmetric PropertyB. Transitive PropertyC. Reflexive PropertyD. none of the above what is the actual explanation of what happens when you subtract a negative number from another negative number