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Inessa [10]
1 year ago
11

A soccer team is saving money to buy new uniforms. The total cost for the uniforms is $88.74. There are 9 players on the team, a

nd each player needs to save the same amount.
How much money does each player need to save?

A
$9.86

B
$98.60

C
$798.66

D
$788.66
Mathematics
1 answer:
Paul [167]1 year ago
7 0

Answer: A

Step-by-step explanation: $88.74÷9=$9.86

$88.74 is the total amount

9 players, and each player has to pay the same amount

we have to divide it evenly in 9 pieces, so we divide $88.74 into 9 groups which then equals $9.86

Hope this helps!

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There are 8 Jacks and Queens and 8 King and Aces

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In the figure, the ratio of the perimeter of rectangle ABDE to the perimeter of triangle BCD is . The area of polygon ABCDE is s
Gekata [30.6K]

Step 1

Find the perimeter of rectangle ABDE

we know that

the perimeter of rectangle is equal to

P=2b+2h

In this problem

b=ED=2\ units

h=AE=6\ units

substitute

P=2*2+2*6=16\ units  

Step 2

Find the perimeter of triangle BCD

we know that

the perimeter of triangle is equal to

P=BD+DC+BC

In this problem we have

BD=AE=6\ units

DC=BC

Applying the Pythagoras theorem

DC^{2}=4^{2}+3^{2}

DC^{2}=25

DC=5\ units

substitute

P=6+5+5=16\ units

Find the ratio of the perimeter of rectangle ABDE to the perimeter of triangle BCD

we have

the perimeter of rectangle is equal to

P=16\ units  

the perimeter of the triangle is

P=16\ units  

so

the ratio is equal to

\frac{16}{16} =1

therefore

<u>the answer Part 1) is the option B</u>

1

Step 3

Find the area of polygon ABCDE

we know that

The area of polygon is equal to the sum of the area of rectangle plus the area of triangle

Area of rectangle is equal to

A=AE*BD=6*2=12\ units^{2}

Area of the triangle is equal to

A=\frac{1}{2}AEh

the height h of the triangle is equal to 4\ units

substitute

A=\frac{1}{2}(6)(4)=12\ units^{2}

The area of polygon is

12\ units^{2}+12\ units^{2}=24\ units^{2}

therefore

<u>the answer part 2) is the option C</u>

24\ units^{2}


7 0
2 years ago
Read 2 more answers
Emily is a songwriter who collects royalties on her songs whenever they are played in a commercial or a movie. Emily will earn $
Hitman42 [59]

Answer:

(6,2)

Step-by-step explanation:

Variable Definitions:

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y= the number of movies

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50x+150y=600

Since Emily's songs were played on 3 times as many commercials as movies, if we multiply 3 by the number of movies, we will get the number of commercials, meaning x equals 3y.

x=3y

Write System of Equations:

​50x+150y=600

x=3y

Solve for y in each equation:

1)  50x+150y=600

   150y=−50x+600

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2)  x=3y

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The x variable represents the number of commercials and the yy variable represents the number of movies. Since the lines intersect at the point (6,2) we can say:

Emily's songs were played on 6 commercials and 2 movies.

​

 

4 0
1 year ago
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Answer:

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Therefore, the condition for no loss-no gain for manufacturing x number of guitars is

R(x) = C(x)

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⇒ 20x = 1840

⇒ x = 92

Therefore, the company has to produce more than 92 guitars and sell them for making a profit. (Answer)

7 0
2 years ago
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