In a basketball tournament, Team A scored 5 fewer than twice as many points as Team B. Team C scored 80 more points than Team B. The combined score for all three teams was 983 points. Write an equation to represent this scenario using the variable b to represent Team B’s total points.

Simplifying

18x + -44 = 13y + -38

Reorder the terms:

-44 + 18x = 13y + -38

Reorder the terms:

-44 + 18x = -38 + 13y

Solving

-44 + 18x = -38 + 13y

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '44' to each side of the equation.

-44 + 44 + 18x = -38 + 44 + 13y

Combine like terms: -44 + 44 = 0

0 + 18x = -38 + 44 + 13y

18x = -38 + 44 + 13y

Combine like terms: -38 + 44 = 6

18x = 6 + 13y

Divide each side by '18'.

x = 0.3333333333 + 0.7222222222y

Simplifying

x = 0.3333333333 + 0.7222222222y

The provided expressions (18x-44)(8x-10)(13y-38) are polynomials in mathematics. However, without further context, it's challenging to give a useful solution or explanation.

Unfortunately, the question provided isn't clear and seems to be a collection of disconnected parts. The primary elements, (18x-44)(8x-10)(13y-38), represent three polynomials in mathematics. These polynomials might be part of equation to be solved, but the information provided is not sufficient for a conclusive answer.

Main Point

The expressions given above are polynomials grouped together. Polynomials are expressions comprising variables and coefficients, connected by the + or - operations. They can be included in various mathematical problems, from solving equations to geometry.

A polynomial of degree one is a linear polynomial, of degree two is a quadratic, degree three is a cubic, and so forth.

Though the given expression includes x and y variables, without further information or context, it's impossible to provide a detailed solution or explanation.

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Step 1. Expand

4b - 24 + 19

Step 2. Collect like terms

4b + (-24 + 19)

Step 3. Simplify

4b - 5

The answer is 4b - 5 :)

the answer is -2.7

-7.2+4.5=-2.7

go from -7.2 to the positive side 4.5 numbers

For this case we have:

We locate the given points on the negative axis of the x coordinate

We shadow the region between both points

The shaded region will be the difference or distance between both numbers.

Algebraically, the difference is given by:

[tex]| -13 - (- 4) | = | -9 | = 9\\[/tex]

Answer:

[tex]Distance = 9\\[/tex]

See attached image

The distance between -13 and -4 on a number line is the absolute value of their difference, which is 9 units.

The distance between two points on a number line is the absolute difference between those points. In this case, the points are -13 and -4. To calculate the distance, we subtract these values in such a way that we get a positive result.

So, we subtract -4 from -13, which is the same as adding 4 to 13, i.e.,: -13 - (-4) = -13 + 4 = -9.

However, distance cannot be negative, so we take the absolute value of -9, which is 9. Therefore, the distance between -13 and -4 on the number line is 9 units. None of the options provided seem to correctly represent this result.

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Answer:Partial quotients Paloma should show in her work are B) 30,10,1.

Step-by-step explanation:

Given : Paloma dividing 1292 (dividend) by 31 (divisor) using partial quotients.

so the easy multiples of 31 are as 31×2=62 ,31×3=93,31×10=310....so on

if she uses 30 as her first partial quotient then 31×30=930, so after subtracting 930 from 1292 we get 362 as new dividend then 31×10=310 is the easiest multiple of 31 so that 362-310=52 as new dividend ,then 31×1=31 subtracting this from 52 gives 52-31=21 which is the remainder.

Therefore, Partial quotients Paloma should show in her work are 30,10 and 1.

5*0 = 0*5 I think this works for both. Take this answer with a grain of salt and double check it, just in case.

Slope intercept form: y = mx + b

So

-2x + y = 9

Add 2x to both sides

-2x + y + 2x = 9 + 2x

Simplifying

y = 2x + 9

Answer

C.) Y = 2x + 9

answer is C forsure

m = (-10 + 25)/(-1 + 4) = 15/3 = 5

so

5 = (20 + 10)/(n + 1)

5(n+1) = 30

5n + 5 = 30

5n = 25

n = 5

Answer

n = 5

Answer:

value of n is 5

Third option is correct.

Step-by-step explanation:

Let the equation of the linear function is y = mx + b

From the given table, we have two points (-4,-25) and (-1,-10)

The slope of the line containing these two points is

[tex]m=\frac{y_2-y_1}{x_2-x_1}\\\\m=\frac{-10+25}{-1+4}\\\\m=\frac{15}{3}\\\\m=5[/tex]

Now, put m = 5, x = -4 and y = -25 in the equation y = mx+b

[tex]-25=5\cdot(-4)+b\\\\-25=-20+b\\\\b = -5[/tex]

Therefore, equation of linear function is [tex]y=5x-5[/tex]

Now, put x = n and y =20

[tex]20=5n-5\\\\5n=25\\\\n=5[/tex]

Therefore, the value of n is 5

19 = 5x - 1      Given

19 + 1 = 5x - 1 + 1

20 = 5x    Addition Property of Equality

20 : 5 = 5x : 5

4 = x    Division Property of Equality

The reason for each step in the solution of the equation are; Addition Property of Equality, Division Property of Equality.

A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.

It is Given

19 = 5x - 1      

19 + 1 = 5x - 1 + 1

20 = 5x    (Addition Property of Equality)

20 : 5 = 5x : 5

4 = x   (Division Property of Equality)

Learn more about equations here;

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Rob spent 25% extra percent on his project than the had planned.

Let us assume total number of hours spent x hours.

Given that he spent an extra h hours on the project

So, we could say 25% of x is h.

0.25 x = h.

Dividing both sides by 0.25.

We get 0.25h/0.25 = h/0.25.

x = h/0.25.

Let us convert 0.25 into fractions.

0.25 = 25/100 = 1/4.

Therefore,

x = h/1/4 = 4h.

Therefore, Rob planned 4h hours.

He spent h hours extra.

So, he spent total 4h+h = 5h hours total.

2c ≥ 19

We can treat this inequality like a standard algebraic equation.

Divide both sides by 2.

c ≥ 9.5

Perimeter is distance all around the side of the figure, so you would do:

8 + 7 + 19 + 3 + y + x

Plug in y and x that you solved before: 8 + 7 + 19 + 3 + 11 + 4

Add them!: 52

The perimeter is 52 meters.

:)

Let x the number of brochures and y the number of fliers.

Optimizing function⇒ f(x,y) = 0.1 x + 0.06 y

Constraints:

x ≥ 80

y ≥ 100

3x + 2y ≤ 500

See the attached figure which represents the constraints.

From the attached figure:

The vertices of the feasible region are (80, 100), (80, 130) and (100, 100).

Substitute the points (80, 100), (80, 130) and (100, 100). in the function

f(x,y) = 0.1 x + 0.06 y

If (x,y) = (80, 100) ⇒ f(x,y) = 14

If (x,y) = (80, 130) ⇒ f(x,y) = 15.8

If (x,y) = (100, 100) ⇒ f(x,y) = 16

The minimum value 14 at (80, 100).

To minimize the cost, she would print 80 brochures and 100 fliers.

This is an optimization problem in mathematics that can be solved by linear programming. The constraints of the problem can be represented by inequalities, and the objective function (cost of printing) can be minimized by finding the optimal number of brochures and fliers to print.

This question is a type of optimization problem in mathematics, specifically a type of problem often found in linear programming. The objective is to minimize the cost of printing brochures and fliers.

First, set up the inequalities based on the constraints. Let x be the number of brochures and y be the number of fliers.

Then, we need to find the number of brochures and fliers to minimize the cost, which is 0.10x + 0.06y. You can solve this problem using methods of linear programming, such as graphing the feasible region and finding the minimum point.

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For this case, we have the following polynomial:

[tex]3x ^ 6yz + x ^ 4y ^ 2 + 2xz ^ 5-6x ^ 2y ^ 3-7y\\[/tex]

A term of the polynomial composed by:

[tex]3x ^ 6yz[/tex], where:

3: Represents the coefficient of the term

x, y, z: Represent the associated variables

6: Represents the exponent associated with the variable x. (y, z have exponent 1)

Thus, using the previous definition, it is observed that the expression has 5 terms.

Answer:

Option c

3.479 is the answer

Answer:

Total number of cards which have to arrange in even rows and Columns=24

 So, Even arrays are

   =6 rows and 4 columns

   =4 rows and 6 columns

  =12 rows and 2 columns

  =2 rows and 12 columns

The two different arrays to show how miles could display his cards will be (2, 12) and (4, 6).

A permutation is an act of arranging items or elements in the correct order. Combinations are a way of selecting items or pieces from a group of objects or sets when the order of the components is immaterial.

Miles has 24 baseball cards he wants to display the cards in even rows and columns.

The factor of the number 24 will be

24 = 2 x 2 x 2 x 3

Then the number of the combination will be given below.

Number of combination = 4 {(2, 12), (12, 2), (6, 4), (4, 6)}

The two different arrays to show how miles could display his cards will be (2, 12) and (4, 6).

More about the permutation and the combination link is given below.

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boat= 35mph

current=10mph

1. The attendance at the Cleveland arena was 20,311 people.

2. The largest arena can seat 1,800 more people than the smallest arena.

3. The estimated seating capacity difference between the Atlanta and Los Angeles arenas is 1,300.

4. The total attendance for the sold-out games is 37,124 people.

5. The combined capacity of the Cleveland and Boston arenas is 6,186 people greater than the biggest college basketball arena.

1. **Last night's game in Cleveland:**

  The attendance at the Cleveland arena last night was 20,562 - 251 = 20,311 people. This is because the arena was 251 seats short of being filled to its full capacity.

2. **Difference in seating capacities:**

  The difference in seating capacities between the largest (Los Angeles) and smallest (New Orleans) arenas is calculated by subtracting the smaller capacity from the larger one: 20,300 - 18,500 = 1,800. Therefore, the largest arena can accommodate 1,800 more people than the smallest arena.

3. **Estimate of seating capacity difference (Atlanta and Los Angeles):**

  The estimated difference in seating capacities between the Atlanta and Los Angeles arenas can be obtained by rounding the capacities to the nearest hundred, making the calculation easier. The rounded capacities are 20,300 and 19,000, resulting in an estimated difference of 1,300.

4. **Attendance at sold-out games:**

  The total attendance for the sold-out games in Boston and New Orleans is the sum of their individual capacities: 18,624 + 18,500 = 37,124 people.

5. **Combined capacity of Cleveland and Boston vs. biggest college arena:**

  The combined capacity of the Cleveland and Boston arenas is 20,562 + 18,624 = 39,186 people. Since this is greater than the capacity of the biggest college basketball arena (33,000), the combined capacity of the Cleveland and Boston arenas is 6,186 people greater.

In summary, the attendance at the Cleveland arena last night was 20,311 people. The largest arena can seat 1,800 more people than the smallest arena. The estimated seating capacity difference between the Atlanta and Los Angeles arenas is 1,300. The total attendance for the sold-out games in Boston and New Orleans is 37,124 people. The combined capacity of the Cleveland and Boston arenas is 6,186 people greater than the biggest college basketball arena.

The question probable maybe:

Use the table for 1-5.

Basketball Arena Seating Capacities
____________________________
City                     Capacity
____________________________
Cleveland             20562
Boston                  18624
Atlanta                   20300
New Orleans         18500
Los Angeles           18997

_____________________________

1. Last night game at the arena in Cleveland was 251 seats short of being filled to capacity. how many people attended the game?

2. How many more people can be seated in the largest arena than can be seated in the smallest arena?

3. Estimate the difference in the seating capacities of the Atlanta and Los Angeles arenas. Explain how you made your estimate.

4. There are two sold-out basketball games tonight. One is at the arena in Boston, and the other is at the arena in New Orleans. How many people are attending the two games?

5. Write Math > The biggest college basketball arena seats 33,000. Is the combined capacity of the Cleveland and Boston arenas greater than or less than the capacity of the biggest college arena? How much greater or less? Explain.

Answer:

2,099,000

Step-by-step explanation:

the answer is 2,099,000

Look at the picture.

The slope-intercept form: y = mx + b

m - slope

b - y-intercept

We have:

[tex]b=-4[/tex]

[tex]m=\dfrac{\Delta y}{\Delta x}\to m=\dfrac{+1}{+1}=1[/tex]

Substitute:

[tex]y=1x-4=x-4[/tex]

i hope this helps you

THERE

PERFECTION :P

-hope this helps

If your question is, "how much had Mr. Kork paid for the car?"

(8,400-200)/.4=$20,500

Achristensen's answer is correct. Just want to add a little more explanation how to arrive at the result.

let x be the original price.

Rewrite the verbal question as an equation using x:

8400 = 200 + 2/5 * x

solve for x:

8400-200 = 2/5*x

5/2*8200 = x

x = 20500

The original price was $20,500

374/ 15= about 24.9 miles

The equation is y=mx+b

so it would be y=2/7(x)-12

The solution is (x,y)=(2,5)

(you can check by plugging 2 for x and 5 for y and both equations will work out)

Answer:

E

Step-by-step explanation:

Construction of a perpendicular to a line through a given point on the line might this image result from. Correct option is C.

A. Construction to copy a line segment: This construction involves using a straightedge and compass to create an identical copy of a given line segment.

B. Construction of a perpendicular bisector: This construction involves finding the perpendicular bisector of a given line segment, which is a line that intersects the segment at its midpoint and forms right angles with it.

C. Construction of a perpendicular to a line through a given point on the line: This construction involves drawing a line perpendicular to a given line through a specific point on that line.

D. Construction of a line parallel to an existing line: This construction involves drawing a line that is parallel to a given line and passes through a specific point not on the given line.

E. Construction of a perpendicular to a line through a given external point: This construction involves drawing a line perpendicular to a given line and passing through a point located outside the given line.

To know more about perpendicular:

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Answer:

$8.40

Step-by-step explanation:

Multiply 2.10 and 4. You get 8.4

4 pieces of candy would cost $8.40.

Explanation: It would cost $8.40, because $2.10 x 4 = $8.40.