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Akimi4 [234]
3 years ago
15

Franco has 7 quarters in his pocket. Of these, 3 depict the state of Delaware, 2 depict Georgia, 1 depicts Connecticut and 1 dep

icts Pennsylvania. Franco removes 1 quarter from his pocket and then removes a second quarter without replacing the first. What is the probability that both will be Delaware quarters?
Mathematics
2 answers:
tiny-mole [99]3 years ago
6 0

2/6

because after you take one quarter out you have a total of 6 left & you have 3 delaware ones and you already have 1 delaware one out of your pocket it makes it 2/6

ICE Princess25 [194]3 years ago
5 0

Answer:

1/7 is the correct answer

Step-by-step explanation:

You might be interested in
Is 88,490,144 divisible by 9?
Vlad [161]

Answer:

No

Step-by-step explanation:

The sum of the digits is 40 which is not divisible by 9, so it is not divisible by 9

3 0
3 years ago
Read 2 more answers
6 × 3 − (4 × 3) + 16 ÷ 4 = 11
rjkz [21]

Answer:

2

Step-by-step explanation:

6x3 = 18

4x3 = 12

18 - 12 = 6

16 / 4 = 4

6 - 4 = 2

4 0
3 years ago
Solve for x: 7x-3=3x+1
Elina [12.6K]

Answer:

x=1

Step-by-step explanation

6 0
3 years ago
Read 2 more answers
A rectangle is twice as long as it is wide and has the same perimeter as a square whose area is 36 square feet larger than that
Korvikt [17]

Answer:

  • rectangle: 12 ft × 24 ft
  • square: 18 ft square

Step-by-step explanation:

You want the dimensions of a rectangle and square such that they have the same perimeter, but the square has an area of 36 more square feet. The rectangle is twice as long as wide.

<h3>Setup</h3>

Let x represent the side length of the square. Then its area is x², and the area of the rectangle is (x² -36).

This area is the product of length and width. The expression factors as ...

  rectangle area = x² -36 = (x +6)(x -6)

<h3>Solution</h3>

If we assume these factors are the dimensions of the rectangle, then the longer dimension is twice the shorter one:

  (x +6) = 2(x -6)

  18 = x . . . . . . . . . add 12-x to both sides

This is the side length of the square. The rectangle dimensions are ...

  x+6 = 18+6 = 24 . . . . feet long

  x -6 = 18 -6 = 12 . . . . feet wide

The rectangle is 12 feet wide and 24 feet long. The square is 18 feet on a side.

__

<em>Additional comment</em>

The perimeter in each case is 4x = 2((x+6) +(x -6)) = 72 ft.

The area of the rectangle is (12 ft)(24 ft) = 288 ft². The area of the square is (18 ft)² = 324 ft², a value that is 36 ft² more than the rectangle area.

<em>Alternate solution</em>

Using x for the width of the rectangle, the length is 2x and its area is x(2x) = 2x². The perimeter is 2(x +2x) = 6x, so the side length of the square is (6x)/4 = 3/2x and its area is (3/2x)² = 9/4x².

The difference is 36 square feet, so we have ...

  9/4x² -2x² = 36 = x²/4   ⇒   x = √(36·4) = 6·2 = 12 . . . . width of rectangle

8 0
1 year ago
A-4/5 = 12 what is a and show the work
topjm [15]

Solving a-\frac{4}{5}=12 we get a=\frac{64}{5}

Step-by-step explanation:

We need to find the value of a. We are given:

a-\frac{4}{5}=12

Solving:

a-\frac{4}{5}=12\\Add\,\,\frac{4}{5}\,\,on\,\,both\,\,sides:\\a-\frac{4}{5}+\frac{4}{5}=12+\frac{4}{5}\\a=12+\frac{4}{5}\\Taking\,\,LCM:\\a=\frac{12*5+4}{5}\\a=\frac{60+4}{5}\\a=\frac{64}{5}

So, Solving a-\frac{4}{5}=12 we get a=\frac{64}{5}

Keywords: Solving Expressions

Learn more about Solving Expressions  at:

  • brainly.com/question/11207748  
  • brainly.com/question/5147732
  • brainly.com/question/4046256

#learnwithBrainly

4 0
3 years ago
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