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german
2 years ago
5

At a horseback riding competition in the Olympics, each rider receives a score from 2 judges’

Mathematics
1 answer:
Gnom [1K]2 years ago
3 0

Answer: 82

Step-by-step explanation:

Let the score that the other judge gave Maddy be M

We get the equation

(87+M)/2 = 84.5

87+M = 169

M = 82

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a large storage container in the shape of a rectangular prism has the dimensions of the following: length 16.5m width 18.2m heig
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Answer:

3603 boxes.

Step-by-step explanation:

Rectangular Prism is actually a cuboid.

Volume of cuboid = length * width * height.

It is given that length = 16.5 m,  width = 18.2 m, and height = 12 m. Therefore:

Volume = 16.5 * 18.2 * 12 = 3603.6 cubic meters.

Volume is actually the capacity of the shape. If the box has the volume of 1 cubic meters, then the number of boxes that can fit in the rectangular prism will be:

Number of boxes to be fit = Volume of Large container/Volume of Small Container.

Number of boxes = 3603.6/1 = 3603 boxes.

Therefore, 3603 boxes will fit the rectangular prism and 0.6 cubic meters will be the spare space!!!

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3 years ago
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3 years ago
A number line has marks A question mark, negative 2, B question mark, 0, 1, C-2, 3, D question mark, 5, E 6.
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Answer:

What number is represented by point B = -1  

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3 years ago
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Allen is horrible at managing his money. For example, he
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Answer:

$80,000

Step-by-step explanation:

<u>Define the variables</u>:

Let x =  "fish-flavored" chicken company investment (in dollars)

Let y = spray-on vitamins company investment (in dollars)

If Allen invested a total of $100,000:

⇒ x + y = 100000

Given:

  • 3% profit on "fish-flavored" chicken investment
  • 1% profit on pray-on vitamins investment
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⇒ 0.03x + 0.01y = 2600

Rewrite the first equation to make y the subject:

⇒ y = 100000 - x

Substitute into the second equation and solve for x:

⇒ 0.03x + 0.01(100000 - x) = 2600

⇒ 0.03x + 1000 - 0.01x = 2600

⇒ 0.02x + 1000 = 2600

⇒ 0.02x = 1600

⇒ x = 80000

Therefore, Allen invested $80,000 in the "fish-flavored" chicken company.

6 0
2 years ago
If<br> f(x) = x2 + 2x - 4<br> and<br> g(x) = 3x + 1<br> Find<br> f(g(x)) = [? ]x² +[? ]x+ [?]
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