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jolli1 [7]
3 years ago
14

A particular dress requires 4 1/4 yards of fabric for manufacturing. If the matching jacket requires 1/6 yards less fabric, how

much fabric is needed for both pieces? Need answer now!
Mathematics
2 answers:
ASHA 777 [7]3 years ago
6 0

Answer:

4  5/12 + 4 1/4  

Step-by-step explanation:

4  1/4 - 1/6 - you have to turn the mixed # into improper fraction  -  17/4,

17/4 - 1/6 = 4 5/12

4 5/12 + 4 1/4  8 2/3

8 2/3 is the answer i hope this helps lol, :)

sveta [45]3 years ago
5 0

Answer: A total of 8 1/3 yards of fabric is needed for both pieces.

Step-by-step explanation: First, you must subtract 1/6 from 4 1/4 to figure out how many yards of fabric is needed for the matching jacket. To do this, you have to find common denominators for each fraction. Since the fractions have a least common denominator of 12, change each fraction to satisfy this new denominator: 1/6 changes to 2/12 and 4 1/4 changes to 4 3/12. Now, you must subtract: 4 3/12 - 2/12 = 4 1/12. Therefore, the matching jacket requires 4 1/12 yards of fabric. Next, add the amount of fabric for the dress (4 3/12) to the amount of fabric for the matching jacket (4 1/12): 4 3/12 + 4 1/12 = 8 4/12. Simplify 8 4/12 to get a final answer of 8 1/3 yards of fabric in total.

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If numerator is 2 less than the denominator of a rational number and when 1 is subtracted from numerator and denominator both, t
xenn [34]

Answer:

\frac{3}{5}

Step-by-step explanation:

  • Let the denominator be x
  • So, numerator = x - 2
  • According to the given condition: when 1 is subtracted from numerator and denominator both, the resulting new rational number in its simplest form is \frac{1}{2}

  • \implies \frac{x-2-1}{x-1}=\frac{1}{2}

  • \implies \frac{x-3}{x-1}=\frac{1}{2}

  • \implies 2(x-3)=x -1

  • \implies 2x-6=x -1

  • \implies 2x-x=6-1

  • \implies x=5

  • \implies x-2=-5-2= 3

  • Required \: rational\: number = \frac{3}{5}
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2 years ago
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ElenaW [278]
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miv72 [106K]
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Kathy owns many different kinds of snow globes. She has 12 international snow globes and 18 domestic. What is the fraction that
11111nata11111 [884]

Answer:fraction that represents the international snow globes, =9//10

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Number of international snow globes ==12

Number of domestic snow globes ==18

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3 0
3 years ago
PLEASE PLEASE PLEASE PLEASE PLEASE HELP ME PLEASE HELP!?!?!!?!?!?!?!!?!!?!
Vladimir79 [104]
\text{Goal: Find } x \text{ such that:} \\ 2^x > 4x + 12

2^x > 4x + 12 \\ 2^x > 4(x + 3) \\ 2^{x - 2} > x + 3

\text{A lemma: } \\ \text{It is given that: } \\ 2^n > 2n + 1, \text{ } n > 3
\text{This can be proven by Mathematical Induction.}
\text{Using this lemma, we can manipulate the expression:} \\ 2^{x - 2} > 2(x - 2) + 1 = 2x - 3, \text{ } x > 5 \\ 2\cdot 2^{x - 2} > 2(2x - 3) \\ 2^{x - 1} > 4x - 12 \\ 2^{x - 1} + 24 > 4x + 12

\text{Observe the following: } 2^x \text{ will always grow faster than } 2^{x - 1} \\ \text{This implies that } 2^{x} > 2^{x - 1} + 24 > 4x + 12, \text{ given that } x > 5

\text{This means that the first month } f(x) > g(x) \text{ is Month 6.}
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