The two stadiums with the largest capacities are Marshfield Stadium and Bowden Stadium. Marshfield Stadium has a capacity of 7,675 more than Bowden. If the combined capacity for the two stadiums is​ 210,355, find the capacity for each stadium.

Answers

Answer 1

Answer: Capacity of Marshfield Stadium is 109,015 and capacity of Bowden is Bowden.

Step-by-step explanation:

Let x = Capacity of Marshfield Stadium.

y = Capacity of Bowden.

As per given, we have

x - y = 7,675               (i)

x+y  =  210,355               (ii)

2x = 218030    (iii)

[tex]\Rightarrow\ x= \dfrac{218030}{2}\\\\\Rightarrow\ x= 109015[/tex]

Put value of x in (i) , we get

109015 - y = 7675

⇒ y= 109015 - 7675

⇒ y= 101,340

Hence, capacity of Marshfield Stadium is 109,015 and capacity of Bowden is Bowden.


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x = 3

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=========================================================

Explanation:

We're told that angle A is 20x. The diagram shows we have an equilateral triangle (since all three sides are the same length), so we know that all angles are the same measure and they are equal to 60 degrees.

Equate 20x and 60. So we solve 20x = 60 and that leads to x = 3 after you divide both sides by 20.

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Answer:

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Step-by-step explanation:

Answer:

13:17

Step-by-step explanation:

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Consider the triangle (in which angle4 is present)

by angle sum property,

20 + 40 + angle4 = 180

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Step-by-step explanation:

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Answer:

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Verizon offers a cell phone plan where customers buy a cell phone for $300 and pay a monthly fee of $40. T- Mobile offers a cell phone plan where customers buy a cell phone for $200 and a monthly rent of $60. Write the equation needed to find the number of months a customer would have to own a cell phone in order for the two cell phone companies to be equal. PLEASE ANSWER QUICKLY. need help!!!

Answers

Answer:

A customer would have to own a cell phone for 5 months in order for the two companies to be equal.

Step-by-step explanation:

Given that:

Cost of cell phone at Verizon = $300

Monthly fee = $40

Let,

x be the number of months

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Step-by-step explanation:

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Multiply both sides and you should get X= 27

Answer:

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Harper is making pudding cups for a big celebration. She made 5 pounds of pudding, but she needs to separate the pudding into individual 4-ounce cups. How many total individual pudding cups can Harper make?

Answers

Given :

Total amount of pudding made, T = 5 pounds.

Size of each cup, s = 4 ounces.

To Find :

How many total individual pudding cups can Harper make.

Solution :

Let, n number of pudding cups can filled with 5 pounds pudding.

We know, 1 pound = 16 ounces.

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Step-by-step explanation:

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Step-by-step explanation:            

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Answer:

PAGE 1

3.) d

4.) e

PAGE 2

5.) a

6.) e

PAGE 3

1.) b

2.) d

PAGE 4

7.) Graph C

8.) Graph B

PAGE 5

9.)  Dilation with the center at the origin and a scale factor of 2.

10.) Dilation with the center at the origin and a scale factor of 1/3.

Step-by-step explanation:

PAGE 1

3.)  d

b/c the rule for x-axis is (x,y) --> (x, -y)

One of the points is (1, 1) ==> (1, -1)

4.) The rule for y-axis is (x, y) --> (-x, y)

A(-5, 3) --> A'(5, 3)

B(2, 6) --> B'(-2, 6)

C(-1, -7) --> C'(1, -7)

PAGE 2

5.) The rule for x-axis is (x,y) --> (x, -y)

A(-5, 3) ---> A'(-5, -3)

B(2, 6) ---> B'(2, -6)

C(-1, -7) ---> C'(-1, 7)

6.) The rule for 90 degrees clockwise is (x, y) --> (y, -x)

B(3, 4) ---> B'(4, -3)

PAGE 3

1.) On the transitions right is positive and left is negative

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And 9 units down = - 9

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B is wrong b/c the translation is (x, y) ---> (x + 3, y + 3)

C is wrong b/c the translation is (x, y) ---> (x - 3, y + 3)

D is correct b/c the translation is (x, y) --->(x -3 , y -3)

A(6, 6) --> A'(3, 3)   B(7, 4) --> B'(4, 1)    C(4, 4) --> C'(1, 1)

PAGE 4

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The only graph that shows this is Graph C

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Step-by-step explanation:

Rectangle DEFG is dilated with the origin as the center of dilation using the rule (x,y) --> (3,5x, 3.5y) to create rectangle D'EFGʻ. Which statement is true?
Rectangle D'EFG' is smaller than rectangle DEFG, because the scale factor is less than 1.
Rectangle D'EFG' is smaller than rectangle DEFG, because the scale factor is greater than 1.
Rectangle D'E'FG' is larger than rectangle DEFG, because the scale factor is greater than 1.
Rectangle D'EFG' is larger than rectangle DEFG, because the scale factor is less than 1.

Answers

Answer:

We conclude that ''rectangle D'E'F'G' is larger than rectangle DEFG because the scale factor is greater than 1''.

Step-by-step explanation:

We know that when an object is dilated by a scale factor, the shape of the original size does not change, but the size of the original object tends to change depending upon the value of a scale factor.

For example,

If scale factor > 1, the image gets larges or stretched.If the scale is between 0 and 1, the image reduces.If the scale factor = 1, the figure and image will be congruent.

Given that Rectangle DEFG is dilated with the origin as the center of the dilation using the rule (x,y) --> (3.5x, 3.5y) to create rectangle D'E'F'G'.

Given the scale factor = 3.5

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