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Anastasy [175]
2 years ago
7

A jeweler is dividing

Mathematics
1 answer:
Anuta_ua [19.1K]2 years ago
5 0

Answer: OPTION D:  \frac{3}{32}

Step-by-step explanation:

By definiton, fractions have the following form:

\frac{a}{b}

Where "a" is called numerator and "b" is the denominator. The numerator and the denominator are Integers.

 In order to solve this exercise you need to remember de Division of fractions:

\frac{a}{b}\div\frac{d}{e}=\frac{a}{b}*\frac{e}{d}=\frac{a*e}{b*d}

In this case, according to the information given in the exercise, you know that \frac{3}{8}\ lb of rubies are divided into 4 lots.

Therefore, in order to calculate the weight in pounds of each lot, you need to divide \frac{3}{8}\ lb  by 4.

Then, you get the following result:

\frac{3}{8}\ lb\div4=(\frac{3}{8}\ lb) (\frac{1}{4})=\frac{3}{8*4}\ lb=\frac{3}{32} \ lb

As you can notice, this result matches with the Option D.

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18 bikes, 9 have gears (G), 11 have suspension (S) and 5 with both,What is the probability that a bike with suspension or gears?
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Answer:

  • 5/9

Step-by-step explanation:

  • Total number of bikes = 18
  • Bikes with gears S = 9
  • Bikes with suspension S = 11
  • Bikes with both GS = 5

<u>From the information above we have:</u>

  • Bikes with gears only = 9 - 5 = 4
  • Bikes with suspension only = 11 - 5 = 6

<u>Sum of the above two gives us the number of bikes with suspension or gears:</u>

  • 4 + 6 = 10

<u>Probability of selected bike be G or S is:</u>

  • P(G or S) = 10/18 = 5/9
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3 years ago
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Setler79 [48]

Answer:

A. 2·x² + 16·x + 32 ≥ 254

Step-by-step explanation:

The given dimensional relationship between the dimensions of the photo in the center of the cake and the dimensions of the cake are

The width of the cake = The width of the photo at the center of the cake, x + 4 inches

The length of the cake = 2 × The width of the cake

The area of the cake Wanda is working on ≥ 254 in.²

Where 'x' represents the width of the photo (at the center of the cake), let 'W' represent the width of the cake, let 'L' represent the length of the cake, we get;

W = x + 4

L = 2 × W

Area of the cake, A = W × L ≥ 254

∴ A = (x + 4) × 2 × (x + 4) = 2·x² + 16·x + 32 ≥ 254

The inequality representing the solution is therefore;

2·x² + 16·x + 32 ≥ 254

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