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Fittoniya [83]
4 years ago
9

Carle is cutting pieces of string that are exactly 24 3/8 inches long. How many pieces can she cut from a ball of string that ha

s 100 feet? 1 foot = 12 inches
Mathematics
2 answers:
Bingel [31]4 years ago
4 0
49 pieces 

First you change the foot into inches, so it is 1200 
then you divide so it is 1200/ 24 3/8 = 49 3/13 
but the remaining doesn't count since it is not one whole piece
yuradex [85]4 years ago
4 0

Answer:

She can cut 49 pieces.

Step-by-step explanation:

we know that 1 foot = 12 inches. Therefore, 100 feet would be 1200 inches.

Now we know  that Carle has a ball of string that has 1200 inches and she needs to cut pieces of string that are exactly 24 3/8 inches long.

Let's rewrite the 24 3/8 inches into a fraction.

24 3/8 = \frac{(24)(8)+3}{8} = \frac{195}{8}

Now we divide 1200 by 195/8

\frac{1200}{\frac{195}{8} } \\\\\frac{(1200)(8)}{195} \\\\\frac{9600}{195} \\49.23

Therefore she can cut 49 pieces.

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Arlecino [84]

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4 years ago
Find profit or loss %<br> A) cp= 150 and profit =250
Anon25 [30]

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166⅓ %

Step-by-step explanation:

250/150 × 100

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7 0
3 years ago
Triangle sum (3x+1)^0+(10x-11)^0+(3x-2)^0=180
svetlana [45]

Answer:

  • x = 12
  • 3x+1 = 37°
  • 10x-11 = 109°
  • 3x-2 = 34°

Step-by-step explanation:

Perhaps you want to know the value of x or the measures of the angles?

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Simplifying the given equation, you get ...

  (16x -12)° = 180°

  16x = 192 . . . . . . . divide by °, add 12

  x = 12

  (3x+1)° = (3·12+1)° = 37°

  (10x-11)° = (10·12-11)° = 109°

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4 0
3 years ago
The width of a rectangle is 9 less than twice its length. If the area of the rectangle is 96
Alja [10]

Thee diagonal of the rectangle is 13.86 cm long.

<h3>What is the length of the diagonal of rectangle?</h3>

We are given that;

Width of a rectangle is 9 less than twice its length. Thus, if length is L, then;

W = 2L - 9

Area formula for a rectangle is;

A = Length * Width

We are given area of rectangle = 96 cm²

Thus;

L(2L - 9) = 96

2L² - 9L = 96

2L² - 9L - 96 = 0

Using online quadratic equation calculator gives;

L = 9.53 cm

Thus;

W = 2(9.53) - 9

W = 19.06 - 9

W = 10.06 cm

The diagonal of the triangle will be gotten from Pythagoras theorem;

D = √(9.53² + 10.06²)

D = √192.0245

D = 13.86 cm

Thus, we conclude that the diagonal of the rectangle is 13.86 cm long.

Read more about Rectangle Diagonal at; brainly.com/question/7071655

#SPJ1

6 0
2 years ago
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