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Mashcka [7]
1 year ago
11

Find the result when -16m - 2 is added to 9m - 15

Mathematics
1 answer:
Olegator [25]1 year ago
3 0

Answer:-7m - 17

Step-by-step explanation:

9m + -16m --> 9m - 16m = -7m

-2 + -15 --> -2 -15 = -17

-7m-17

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Solve for x : 4/5 x − 2 = 7
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Step-by-step explanation:

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Ok so I found the area of a rectangle.
Kay [80]

Answer:

  circle area = 1963.495 ft²

Step-by-step explanation:

<u>Given</u>

  A rectangle 550 ft by 350 ft packed with circles on a rectangular grid

<u>Find</u>

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<u>Solution</u>

The diameter of the circle must be a factor of both 350 and 550. We want the diameter to be the largest such factor. We can write the factors of 350 and 550 as ...

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  • 550 = 50 × 11

The largest factor common to both numbers is 50, so that will be the diameter of the largest circle that will fit on a square grid.

The area of a circle is commonly given by the formula ...

  A = πr² . . . . . where r represents the radius of the circle.

The radius is half the diameter, so will be (50 ft)/2 = 25 ft. And the area of the circle is ...

  A = π(25 ft)² = 625π ft² ≈ 1963.495 ft²

The area of one circle is about 1963.495 square feet.

_____

The total number of circles is 11×7 = 77. Their total area is 77×1963.495 ft² ≈ 151,189 ft². This is 151,189/192,400 ≈ 78.54% of the total area of the rectangle.

6 0
3 years ago
A roster for a baseball team has 12 players. the coach is randomly making the batting order for 9 players. what is the probabili
andrey2020 [161]
The probability of you being the leadoff hitter is <span>8.3%.</span>

Explanation:

The number of possible rosters can be calculated with permutations, knowing that the coach can choose the first hitter among all 12 players, then the second hitter among the 11 players remaining and so on until the 9th hitter among the remaining 4 players.

Therefore:
Possible rosters = 12 × 11 × 10 × 9 × 8 × 7 × 6 × 5 × 4 = 79833600

The leadoff hitter is the first player in the batting order, therefore the number of possible rosters in which you are chosen as the first one is:
You leadoff = 1 <span>× 11 × 10 × 9 × 8 × 7 × 6 × 5 × 4 = 6652800

The probability of you being leadoff is:
P</span> = You leadoff / <span>Possible rosters 
</span>   = 6652800 / 79833600
   = 1 / 12 
   = 0.08333
   = 8.3%

Note that this is exactly the probability of you being chosen out of the 12 players of the team in a one-pick choice because it does not matter how the rest of the batting order is composed.


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