Combine like term (combine the poitive term and combine the negative term). 18-6-155-91

Answers

Answer 1

The combined like terms are -234.

Combining like terms means adding or subtracting any expressions that have the same variable. For example, in the expression:

2x + 3x

The terms 2x and 3x have the same variable (x), so they can be combined to form 5x.

Similarly, in the expression:

4y - 7y

The terms 4y and -7y have the same variable (y), so they can be combined to form -3y. The goal of combining like terms is to simplify expressions and make them easier to understand and manipulate.

In this case, the first two terms, 18 and -6, have no variable, so they can be combined to form 12. The next two terms, -155 and -91, also have no variable, so they can be combined to form -246. Finally, the combined terms, 12 and -246, can be combined to form -234. So, the final result is:

18 - 6 - 155 - 91 = -234.

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Related Questions

hey i need this reallly
pls just help me out

Answers

The points given are (-7,2) & (9,6)

Use slope point formula (y2-y1)/(x2-x1).

let’s say (-7,2) is x1 & y1.

Then points (9,6) would be x2, y2.

Put this into the formula and you get (6-2)/(9-(-7)) = 4/16 which in simplified form is 1/4.

what is the sum of the expression 3+256

Answers

Answer:259

Step-by-step explanation:

3+256=269

Answer: 259

Step-by-step explanation: 3 + 256 = 259

If ABCD is dilated by a factor of the
coordinate of C' would be:
-4-3-2
A
3
2
B
-10
-1
-2
PT
2
3
4 5
C
D
6
10
11
C' = ([?], [])
Enter

Answers

The coordinate of point C' after transformation is; C'(4, 4)

How to interpret Dilation transformation?

Dilation is defined as a transformation, that is used to resize the object. Dilation is used to make the objects either larger or smaller. That is a reduction or an enlargement.

Usually when we dilate an object by a scale factor, what we simply do is to multiply the original coordinates by the scale factor to get the new dilated coordinates.

Since the quadrilateral is dilated by a scale factor of 2, we will multiply the original coordinate of point C by 2.

Coordinate of C = (2, 2)

Thus;

Dilated coordinate; C' = (2*2, 2*2) = 4,4

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4.5a−1.5(a+5) what expression is equivelant to it
3a+5
3a-7.5
6a+5
6a-7.5

Answers

Answer:

3a - 7.5

Step-by-step explanation:

4.5a−1.5(a+5)

4.5a - 1.5a - 7.5

3a - 7.5

So, the answer is 3a-7.5

3a-7.5 is the answer i need points sorry for replying w the same thing

1. Researchers who were interested in the types of movies pre-

ferred by children of different age groups asked students in the

sixth grade and in the eighth grade if they would prefer to see

an animated feature like The Lion King or an action feature like

The Avengers. The results are summarized in the table:

Sixth Grade

Eighth Grade

Animated Action

45 35

40 60

Which proportions represent the conditional distribution of

grade for children who preferred an action feature?

A) 0. 194 and 0. 333

B) 0. 368 and 0. 632

C) 0. 40 and 0. 60

D) 0. 444 and 0. 556

E) 0. 529 and 0. 471

Answers

Sixth grade students prefer action movie is 0.194 & Eight grade students prefer action movie is 0.333

Given that the information below:

Sixth grade students prefer animated movie - 45

Eight grade students prefer animated movie - 40

Sixth grade students prefer action movie - 35

Eight grade students prefer action movie - 60

Total sixth grade students - 80

Total eight grade students - 100

Total students prefer animated movie - 85

Total students prefer action movie - 95

Proportion of sixth grade students prefer action movie =

Sixth grade prefer action movie/Total students

= 35/180 = 0.194

Proportion of eight grade students prefer action movie =

Eight grade prefer action movie/Total students

= 60/180 = 0.333

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Carlos's math teacher finds that there's roughly a linear relationship between the amount of time students spend on their homework and their weekly quiz scores. This relationship can be represented by the equation y=61+7.6xy=61+7.6x, where yy represents the expected quiz score and xx represents hours spent on homework that week. What is the meaning of the xx-value when y=92y=92?

Answers

When y = 92, the value of x is approximately 4.07 hours. This means that if a student spends approximately 4.07 hours on their homework each week, we would expect their quiz score to be 92.

What is the linear equation?

Linear equations are the equations of degree 1. It is the equation for the straight line. The standard form of linear equation is ax+by+c =0, where a ≠ 0 and b ≠ 0.

If y = 92, we can solve for x by substituting 92 for y in the equation y = 61 + 7.6x:

92 = 61 + 7.6x

7.6x = 92 - 61

7.6x = 31

x = 31 / 7.6

x = 4.07

Therefore, when y = 92, the value of x is approximately 4.07 hours. This means that if a student spends approximately 4.07 hours on their homework each week, we would expect their quiz score to be 92.

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Use polar coordinates to find the volume of the given solid. Below the paraboloid z = 8 - 2x 2 - 2y 2 and above the xy-plane.

Answers

The volume of the solid is approximately 54.8 cubic cm.

What do you mean by integration?

Integration is a fundamental concept in calculus that deals with finding the area under a curve and calculating the accumulation of values over an interval. Integration can be thought of as the reverse of differentiation, which is the process of finding the rate of change of a function at a given point.

There are two main types of integration: definite and indefinite integration. Definite integration involves finding the exact area between a curve and the x-axis over a specified interval. Indefinite integration involves finding the general antiderivative of a function, which is a function that, when differentiated, will yield the original function.

The process of integration can be represented symbolically as ∫ (the integral symbol) and the result of an integration is typically represented as an antiderivative. The fundamental theorem of calculus states that differentiation and integration are inverse operations, so the derivative of an antiderivative is the original function.

The paraboloid z = 8 - 2x² - 2y² can be written in polar coordinates as z = 8 - 2r². The volume of the solid can be found by using the double integral of the height of the paraboloid over the region defined by the polar coordinates.

In polar coordinates, the region is defined by 0 <= r <= √4 and 0 <= θ <= [tex]\frac{\pi }{2}[/tex]The volume of the solid is given by:

V=[tex]\int\limits \int\limits {(8-2r^{2} )} r\, dr dy[/tex]

= [tex]\int\limits^0_\frac{\pi }{2} {} \, dx\int\limits^0_\sqrt{4} \,}(8-2r^{2})r }dr[/tex]

= [tex]\int\limits^0_\frac{\pi }{2} dx[ {4r^{2} -\frac{2}{3}r^{3} }] \,[/tex] from 0 to sqrt(4)

= [tex]\frac{\pi }{2} [4(4)-(\frac{2}{3}4^{\frac{3}{2} } ][/tex]

= [tex]\frac{\pi }{2}[16-\frac{2}{3}(16^{\frac{1}{2} } )][/tex]

= [tex]\frac{\pi }{2}[16-8({\frac{2^{} \frac{1}{2} }{3} }) ][/tex] cubic cm

So the volume of the solid is approximately 54.8 cubic cm.

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An airplane factory made 36 airplanes per month. At this rate, how many airplanes can the factory make per year?

Answers

The number of planes manufactured by the aeroplane company will be 432.

What is an expression?

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that an aeroplane factory made 36 aeroplanes per month. The number of aeroplanes made in a year will be calculated as:-

Number = 36 x Months in a year

Number = 36 x 12

Number = 432

Therefore, the number of planes will be 432.

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Select the correct answer. What is the approximate value of the correlation coefficient for the given graph? Graph shows line segment plotted on coordinate plane with number of years on horizontal axis and price of the car in thousand dollars on vertical axis. Line segment begins at (0, 35), goes through (1, 30), (2, 25), (3, 20), (4, 15), (5, 10), (6, 5). A. 1 B. 5 C. 3 D. -1

Answers

The approximate value of the correlation coefficient for the given graph is D. -1.

The correlation coefficient is a statistical measure that indicates the strength and direction of the linear relationship between two variables. A correlation coefficient of -1 indicates a perfect negative linear relationship, meaning that as the value of one variable increases, the value of the other variable decreases at a constant rate. In this case, as the number of years increases, the price of the car decreases, so the correlation coefficient is negative.

Train a take 16 hour to reach chicago from wahington while train b take 20 hour, the ratio

Answers

Train A takes 20 hours to get to Chicago from Washington whereas Train B takes 16 hours, making a 20: 16 ratio between the two trains.

How to estimate the ratio between the two trains?

Given: Time taken by Train A = 16 hours

Time taken by train B = 20 hours

We need to find, the ratios of speeds of trains A and B

The distance exists same (Chicago to Washington) and to finding the speed of train A.

Let the equation be

Speed [tex]$=\frac{\text { Distance }}{\text { time }}$[/tex]

Let the distance between Chicago and Washington be x

Speed [tex]${(\text {train } \mathrm{A})}=\frac{\mathrm{x}}{16} \mathrm{~km} / \mathrm{h}$[/tex]

Hence, speed of train [tex]$A=\frac{x}{16} \mathrm{~km} / \mathrm{h}$[/tex]

To find the speed of train B

Speed [tex]${({train~B})}=\frac{\mathrm{x}}{20} \mathrm{~km} / \mathrm{h}$[/tex]

[tex]$\mathbf{S}_{(\{train~A})}: \mathrm{S}_{(\{train} B)} \\[/tex]

[tex]$& \longrightarrow \frac{\mathrm{x}}{16}: \frac{\mathrm{x}}{20} \\[/tex]

= 20 : 16

Therefore, the ratio of train A and train B be 20 : 16.

The complete question is:

Train a take 16 hour to reach Chicago from Washington while train b take 20 hour, the ratio of the speed of both the train.

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On a​ team, 9 girls and 5 boys scored a total of 51 points. The difference between the number of points scored by the 9 girls and the number of points scored by the 5 boys is 21 . Each girl scored the same number of points and each boy scored the same number of points. Find the number of points scored by each girl and each boy.

Answers

The number of points scored by each girl is 4 and each boy is 1 point.

What is equation?

An equation is a  mathematical statement that is made up of two expressions connected by an equal sign.  In its simplest form in algebra, the definition of an equation is a mathematical statement that shows that two mathematical expressions are equal. For instance, 3x + 5 = 14 is an equation, in which 3x + 5 and 14 are two expressions separated by an 'equal' sign.

here, we have,

9 girls and 5 boys scored a total of 51 points.

The difference between the number of points scored by the 9 girls and the number of points scored by the 5 boys is 21 .

Each girl scored the same number of points and each boy scored the same number of points.

Let x be the number of points the 9 girls scored.

=> 51 - x is the number of points the 5 boys scored.

We have x + 21 = 51 - x

           or x - 21 = 51 - x.

=> 2x = 30 or 2x = 72

=> x = 15 or x = 36

We reject x = 15

as 15 is not a multiple of 9

So x = 36,

each girl scored 36/9 = 4 points.

and,

=> 41 - (36) = 5,

each boy scored 5/5 = 1 points.

Hence, the number of points scored by each girl is 4

and each boy is 1 point.

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what is the probability that a subject, with a true cholesterol level of 196, takes the test twice (assume independent) and both tests classify the subject incorrectly?

Answers

The probability that a subject, with a true cholesterol level of 196, takes the test twice and both tests classify the subject incorrectly depends on several factors.

The factors that matter, such as the accuracy of the test, the threshold for normal cholesterol levels, the population being tested, and the distribution of cholesterol levels in that population. Without more information, it is not difficult to determine the exact probability.

However, it is generally unlikely for a test to classify a subject's cholesterol level incorrectly twice in a row, especially if the test has a high level of accuracy. Cholesterol levels in a population tend to follow a normal distribution, making it unlikely for a single subject to have significantly different readings on two separate tests.

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Please help me find the x and y

Answers

the values of x and y will be 60 and 25 respectively.

What are parallel lines?

Parallel lines are lines in a plane that are always the same distance apart. Parallel lines never intersect. Perpendicular lines are lines that intersect at a right (90 degrees) angle.

Given, ∠2y + 25  and ∠3y are alternate interior angles

Alternate interior angles are the angles formed when a transversal intersects two coplanar lines.

Thus,

2y + 25  = 3y

y = 25

And since, When two lines intersect each other, then the opposite angles, formed due to the intersection, are called vertical angles or vertically opposite angles. Also, a pair of vertical angles are always congruent.

thus,

∠x + 15 = ∠3y

x + 15 = 3y

x + 15 = 75

x = 60

therefore, the values of x and y will be 60 and 25 respectively.

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A box contains 5 plain pencils and 5 pens. A second box contains 3 color pencils and 1 crayon. One item from each box is chosen at random. What is the probability that a plain pencil from the first box and a color pencil from the second box are selected?

Answers

The probability that a plain pencil from the first box and a color pencil from the second box are selected is 3/8.

What is the probability?

The Probability in mathematics is the possibility of an event in time. In simple words, how many times that incident is happening in any given time interval.

Given:

A box contains 5 plain pencils and 5 pens.

A second box contains 3 color pencils and 1 crayon.

One item from each box is chosen at random.

The probability that a plain pencil from the first box and a color pencil from the second box are selected,

= 5/10 x 3/4

= 3/8

Therefore, the probability is 3/8.

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True or False : the null space of a is the solution set of the equation ax = 0.

Answers

The statement is True: the null space of a is the solution set of the equation ax = 0.

What is null space?

The collection of all solutions to the homogeneous equation makes up a matrix's null space. Any matrix's null space contains the zero vector at all times. The null space is denoted as Null A.

We know that The null space of an m × n matrix A, written as Nul A, is the set of all solutions to the homogeneous equation Ax = 0.

Hence, the statement is True: the null space of a is the solution set of the equation ax = 0.

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How can you find the slope of the line that passes through the points (0,0) and (2,4)? Explain

Answers

Answer:

2

Step-by-step explanation:

Let ( x1, y1) represent the first point (0,0)  and  (x2, y2) represent the second point (2,4). Slope (m) (y2 - y1) / ( x2 - x1)= (4 - 0) / (2-0) =2

Giorgi paid 1 GEL and 25 tetris for 5 erasers and 2 rulers, Tornike paid 1 GEL and 5 tetris for 2 erasers and 3 rulers.
Let's say the price of an eraser is x white, the price of a ruler is y white. To find these prices

Answers

The requried price of an eraser and ruler is given as 0.15 Tetris and 0.25 Tetris respectively.

What are simultaneous linear equations?

Simultaneous linear equations are two- or three-variable linear equations that can be solved together to arrive at a common solution.

1 GEL and 25 tetris = 1.25
1 GEL and 5 tetris = 1.05

We can set up two equations to find the unknown values of x and y:

1.25 = 5x + 2y  - - - - - -(1)

1.05 = 2x + 3y  - - - - - (2)

To solve the system of equations, we can substitute the value of y in the first equation using the second equation:

y = (1.25 - 5x) / 2

Substituting this value of y in the second equation:

1.05 = 2x + 3((1.25 - 5x) / 2)

x = 0.15

Now,
Put x = 0.15 equation 1,
e get
y = 0.25

Thus, the requried price of an eraser and ruler is given as 0.15 Tetris and 0.25 Tetris respectively.

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7(2y)= Complete the tatement uing the pecified property. Aociative Property of Multiplication

Answers

The statement using the specified property i.e  Associative Property of Multiplication will be 14y.

One's identity property is its capacity for multiplication.

7(2y)

The phrase is given as follows:

7(2y)

=14y

The one has the multiplication property, which says:

Any number or expression that is multiplied by one doesn't alter in any way.

The result is: 1xa=a

The identification property is another name for this particular attribute.

The general rule is shown as follows:

Examples include

1 * 2 = 2

1 * x = x

1 * ab = ab

and so forth

So, the property of multiplying by one is an identity property.

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Find the lengths of the diagonals of rectangle $WXYZ$ . $WY=14x+10$ $XZ=11x+22$

Answers

The lengths of the diagonals of rectangle is 66 units

How to determine the values

The properties of a rectangle is given as;

A rectangle is a known as a quadrilateralThe opposite sides are parallel and equal to each other Interior angle is equal to 90 degreesSum of all the interior angles is equal to 360 degreesThe diagonals bisect each other at right angleDiagonals have the same length

From the information given, we have that;

$WY=14x+10

$XZ=11x+22

Since the diagonals are of the same length, we have;

WY = XZ

14x + 10 = 11x + 22

collect like terms

14x - 11x = 22 - 10

subtract the like terms

3x = 12

Make 'x' the subject of the formula

x = 4

WY = 54 + 10 = 66

XZ = 66

Hence, the values are 66

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The area of a rectangular room is 750 square feet. The width of the room is 5 feet less than the length of the room. Which equations can be used to solve for y, the length of the room? Select three options. y(y + 5) = 750 y2 – 5y = 750 750 – y(y – 5) = 0 y(y – 5) + 750 = 0 (y + 25)(y – 30) = 0

Answers

750=y²-5y is the equation that can be used to solve for y, the length of the room.

What is Area of Rectangle?

The area of Rectangle is length times of width.

Given that the area of a rectangular room is 750 square feet.

The width of the room is 5 feet less than the length of the room.

Let y be the length of the room

Width=y-5.

Area=Length×Width

750=y(y-5)

750=y²-5y

Hence, 750=y²-5y is the equation that can be used to solve for y, the length of the room.

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Need help ASAP. Congruent Triangles Gina Wilson all things algebra

Answers

The answers for all triangle problems are:

x = 2°∠S = 36°x = 26°; ∠P = 116°; ∠Q = 21°; ∠R = 43°∠J = 44°; ∠K = 81°; ∠L = 51°x = 11°; ∠B = 108°; ∠C = ∠D = 36°

10. ΔABC is a equilateral triangle, then:

∠A = ∠B = ∠C = 8x - 44

3 (8x - 44) = 180

24x - 132 = 180

24x = 48

x = 2

11. ΔRST is an isosceles triangle, then:

∠R = ∠T

15x - 31 = 9x + 11

6x = 42

x = 7

∠S + ∠R + ∠T = 180°

∠S + 2∠T = 180°

∠S + 2( 9x + 11) = 180°

∠S + 2(9(7) + 11) = 180°

∠S + 2 (63 + 11) = 180°

∠S + 2 (74) = 180°

∠S = 180 - 144

∠S = 36°

12. Based on the given data:

∠P = 5x - 14

∠Q = x - 5

∠R = 2x - 9

Since ΔPQR is a triangle, then:

∠P + ∠Q + ∠R = 180°

(5x - 14) + (x - 5) + (2x - 9) = 180°

8x - 28 = 180°

8x = 208

x = 26

∠P = 5x - 14 --> 5(26) - 14 = 116°

∠Q = x - 5 --> (26) - 5 = 21°

∠R = 2x - 9 --> 2(26) - 9 = 43°

13. ΔJKL is a triangle, where:

∠J = ∠L - 7

∠K = 2∠L - 21

∠J + ∠K + ∠L = 180

(∠L - 7) + (2∠L - 21) + ∠L = 180°

4∠L - 28 = 180°

4∠L = 208

∠L = 51°

∠J = ∠L - 7 --> (51) - 7 = 44°

∠K = 2∠L - 21 --> 2(51) - 21 = 81°

14. In a triangle ΔBCD:

BD = BD

∠B = 13x - 35

∠C = 5x - 19

∠D = 2x + 14

Since BC = BD; then:

∠C = ∠D

5x - 19 = 2x + 14

3x = 33

x = 11

∠C = ∠D = 2x + 14 --> 2(11) + 14 = 36°

∠B + ∠C + ∠D = 180°

∠B + 36° + 36° = 180°

∠B = 108°

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Pete is standing 4 feet away from a mirror on the ground. Pete is 6 feet tall and can just see the top of the tree in the mirror from where he is standing. The two triangles formed are similar.


If the mirror is 20 feet away from the base of the tree

A.
22 feet
B.
19 feet
C.
13 feet
D.
30 feet

Answers

Pete is standing 4 feet away from a mirror on the ground, if mirror is 20 feet away from the base of the tree the height of tree is 30 feet.

let,

Pete is standing 4 feet away from a mirror on the ground.

Pete is 6 feet tall and can just see the top of the tree in the mirror from where he is standing.

We can say two triangles are formed are similar,

So if the mirror is 20 feet away from the base of the tree

After talkig the similarity theorem we get,

[tex]\frac{6}{4} = \frac{x}{20}[/tex]

So x = 6*5

x = 30 feet.

The height of the mirror is 30 feet.

Height is a measurement of vertical distance, or how high something or someone is (how tall they are) (how "high" a point is).

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703 divided by 58
With remainder

Answers

Given the problem:
703 divided by 58
With remainder

So long division:

012
———
58 | 703
−0
———————-
70
−58
————————
123
−116
————————
7

The answer is 12 with a remainder of 7.
Hope this helped!

What are the solution(s) to the system?
y=x²-2x +4
y = 3x + 10

Answers

The solution to this system is (x,y)=(10/3, 20/3 + 4).

What is equation?

An equation is a mathematical statement that describes the relationship between two or more variables. It is a statement that states the equality of two expressions. Equations can be used to describe anything from the motion of a pendulum to the growth of a population. They are used in all areas of mathematics, physics, and other sciences. Equations are written using symbols, such as = (equal to), > (greater than), and < (less than).

The solution to this system of equations is the set of values that make both equations true at the same time. To solve this system, we can use the substitution method. First, we solve for one of the variables in one equation, then substitute that value into the other equation.

For this system, we will solve for x in the second equation. We can do this by subtracting 3x from both sides, which gives us 10 = 3x. We then divide both sides by 3, which gives us x = 10/3.

Next, we substitute 10/3 into the first equation and solve for y. We can do this by replacing x with 10/3, which gives us y = (10/3)² -2(10/3) + 4. Simplifying this equation gives us y = 20/3 + 4.

Therefore, the solution to this system is (x,y)=(10/3, 20/3 + 4).

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the type of reasoning used to prove a conjecture is called

Answers

Answer:

deductive reasoning

Step-by-step explanation:

(2 points) suppose y′=−y t. we write f(t,y) for the right-hand side of the differential equation. (a) determine the isoclines f(t,y)=c for c=−1,0,1. express each answer as y=

Answers

For c = 1, we have f(t,y) =-y = 1. Rearranging this equation yields y = 1, which simplifies to y = et. The isoclines for c = -1, 0, 1 are y = e-t, y = 0, and y = et, respectively.

c = -1: y = e-t

c = 0: y = 0

c = 1: y = et

For c = -1, we have f(t,y) = -y = -1. Rearranging this equation yields y = -1, which simplifies to y = e-t.

For c = 0, we have f(t,y) = -y = 0. Rearranging this equation yields y = 0.

For c = 1, we have f(t,y) =-y = 1. Rearranging this equation yields y = 1, which simplifies to y = et.

The isoclines for c = -1, 0, 1 are y = e-t, y = 0, and y = et, respectively.

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HATS Bill ha h hat. If he buy 8 more hat, then multiplie hi total by 3 he would till have fewer hat than Jim. Jim ha 45 hat. Write and olve an inequality that repreent thi ituation. How many hat doe Bill have?



Inequality: _
_(
__) _
_ 45



Solution: h
_
_ __

Answers

Bill has 6 hats in total.

According to the question

In order to solve the issue, an inequity that depicts Bill and Jim's condition and their hat collections must be eliminated. Jim has 45 hats, Bill has a certain amount. According to the issue, even if Bill purchases 8 additional hats and increases his total by 3, he would still possess fewer hats than Jim.

Let's use the variable "x" to represent Bill's total number of hats.

We are aware that when Bill purchases 8 additional hats, his total will be x + 8.

The result of multiplying this new sum by three is 3(x + 8).

This number is less than 45, thus we can create an inequality since we know that:

3(x + 8) < 45

Extending the sentence on the left:

3x + 24 < 45

24 is subtracted from both sides:

3x < 21

by 3 and dividing both sides:

x < 7

The least positive integer solution to this inequality is 7, as x, the number of hats Bill owns, must be a positive integer. Bill thus needs six hats.

The difference between Jim and Bill is that Jim has 45 hats, but Bill owns less than 7, even after purchasing 8 additional hats and multiplying the total by 3.

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Bill has 6 hats in total.

According to the question

In order to solve the issue, an inequity that depicts Bill and Jim's condition and their hat collections must be eliminated. Jim has 45 hats, Bill has a certain amount. According to the issue, even if Bill purchases 8 additional hats and increases his total by 3, he would still possess fewer hats than Jim.

Let's use the variable "x" to represent Bill's total number of hats.

We are aware that when Bill purchases 8 additional hats, his total will be x + 8.

The result of multiplying this new sum by three is 3(x + 8).

This number is less than 45, thus we can create an inequality since we know that:

3(x + 8) < 45

Extending the sentence on the left:

3x + 24 < 45

24 is subtracted from both sides:

3x < 21

by 3 and dividing both sides:

x < 7

The least positive integer solution to this inequality is 7, as x, the number of hats Bill owns, must be a positive integer. Bill thus needs six hats.

The difference between Jim and Bill is that Jim has 45 hats, but Bill owns less than 7, even after purchasing 8 additional hats and multiplying the total by 3.

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The scale on a map is stated as 1 : 200 000 A main road connects two towns which are 34 kilometres apart. How far will it be on the map, in centimetres, between the two towns along the main road?

Answers

On the map, the two towns are 17 centimeters apart.

What is a scale factor?

The ratio of the scale of an original thing to a new object that is a representation of it but of a different size is known as a scale factor (bigger or smaller).

Given:

The scale on a map is stated as 1 : 200000.

A main road connects two towns which are 34 kilometers apart.

34 kilometers in centimeters,

= 3400000

So, the road on the map = 3400000/200000

The road on the map = 17 centimeters.

Therefore, the value is 17 centimeters.

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Willow purchased a new
car. Her loan, including
interest, is $12,720. How
much are her monthly
payments if she has 60
monthly payments to
make?

Answers

Answer:

$212

Step-by-step explanation:

What are the Types of Corresponding Angles Based on their Sum?

Answers

Their total determines which angles are equivalent. Alternative Corresponding Angles Parallel Corresponding angles

What is meant by Corresponding Angles?Whenever a transversal line crosses two parallel lines, corresponding angles are created. Examples of comparable angles that can be found in daily life include the opening and closing of a lunchbox, completing a Rubik's cube, and endless parallel railroad tracks.Corresponding objects are ones that show up at the same location in two related circumstances. In the example below, angles are a common cause. Given that they are in the same spot in the two related shapes, angle A on the left and angle K on the right are equivalent. As we say, A is equivalent to K.Angles that match up are congruent. Corresponding pairs are all angles that are situated in the same location with respect to the parallel and transversal lines.

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