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Scilla [17]
3 years ago
12

The width of a rectangle, in feet, is represented by (3x-1.5). The length of the rectangle, in feet, is represented by (1.25x+3)

. Find the perimeter.
Mathematics
1 answer:
Simora [160]3 years ago
7 0

Answer:

5.5x + 1.5

Step-by-step explanation:

P = 2(l + w)

P = 2(1.25x + 3 + 3x - 1.5)

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The perimeter of a backyard basketball court with four sides is 90 feet. Two sides of the court are each 20 feet long. One side
Alex787 [66]

Given:

The perimeter of a backyard basketball court with four sides is 90 feet.

Two sides of the court are each 20 feet long.

One side of the court is 25 feet long.

To find:

The missing side length of the basketball court.

Solution:

Let x be the missing side length.

The three given sides of the basketball court  are 20 feet, 20 feet, 25 feet.

We know that the perimeter is the sum of all sides.

Perimeter=x+20+20+25

Perimeter=x+65

The perimeter of a backyard basketball court with four sides is 90 feet.

x+65=90

x=90-65

x=25

Therefore, the missing side length is 25 feet and the correct option is B.

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Answer:

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Step-by-step explanation:

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wariber [46]

Answer:

x=1/6

Step-by-step explanation:

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Viktor [21]

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How many ways are there to select a 5-card hand from a regular deck such that the hand contains at least one card from each suit
Snezhnost [94]

Answer:

There are 685464 ways of selecting the 5-card hand

Step-by-step explanation:

Since the hand has 5 cards and there should be at least 1 card for each suit, then there should be 3 suits that appear once in the hand, and one suit that apperas twice.

In order to create a possible hand, first we select the suit that will appear twice. There are 4 possibilities for this. For that suit, we select the 2 cards that appear with the respective suit. Since there are 13 cards for each suit, then we have {13 \choose 2} = 78 possibilities. Then we pick one card of all remaining 3 suits. We have 13 ways to pick a card in each case.

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