Mathematics, 28.06.2019 02:00 codyshs160

Brian wants to purchase a piece of fabric that is between 49 and 53 inches long. he can choose between three pieces of fabric. choice a is 4 3/4 feet long. choice b is 4 1/2 feet long. choice c is 4 1/4 feet long. which price of fabric should brian purchase?

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Answer from: teionamwhite2262

Choice C.

Step-by-step explanation:

We now that Brian wants the piece of fabric between 49 and 53 inches, this range is expressed like this

Now, to choose the right answer, we have to transform the from feet to inches and see which one falls into this interval.

Choice A.

We know that 1 ft equals 12 in. If we have $4\frac{3}{4}=\frac{19}{4} ft$ , how much inches would be?

$\frac{19}{4}ft\frac{12in}{1ft}=57in$

As you can see, the choice A is not the right answer because is more than 53.

Choice B.

We do the same process. We know that, $4\frac{1}{2}=\frac{9}{2}ft$ how much inches would be?

$\frac{9}{2}ft\frac{12in}{1ft}=54in$

Choice B is not the answer neither, because it's outside the interval.

Choice C.

$4\frac{1}{4}=\frac{17}{4}ft$ how much inches would be?

$\frac{17}{4}ft\frac{12in}{1ft}=51in$

As you can observe, choice C is in the interval. Therefore, the right answer is choice C, because 51 inches is between 49 and 53 inches.

Answer from: Quest

5\16 x 2\5 = 10/80simplify to 1/80

Answer from: Quest

x= 1

step-by-step explanation: convert 5\frac{11}{12}5

to improper fraction. use this rule: a \frac{b}{c}=\frac{ac+b}{c}a

ac+b

3.25+0.5x+1\frac{1}{3}+\frac{5}{6}x=\frac{5\times 12+11}{12}3.25+0.5x+1

5×12+11

2 simplify 5\times 125×12 to 6060

3.25+0.5x+1\frac{1}{3}+\frac{5}{6}x=\frac{60+11}{12}3.25+0.5x+1

60+11

3 simplify 60+1160+11 to 7171

3.25+0.5x+1\frac{1}{3}+\frac{5}{6}x=\frac{71}{12}3.25+0.5x+1

4 simplify \frac{5}{6}x

x to \frac{5x}{6}

3.25+0.5x+1\frac{1}{3}+\frac{5x}{6}=\frac{71}{12}3.25+0.5x+1

5 convert 1\frac{1}{3}1

to improper fraction. use this rule: a \frac{b}{c}=\frac{ac+b}{c}a

ac+b

3.25+0.5x+\frac{1\times 3+1}{3}+\frac{5x}{6}=\frac{71}{12}3.25+0.5x+

1×3+1

6 simplify 1\times 31×3 to 33

3.25+0.5x+\frac{3+1}{3}+\frac{5x}{6}=\frac{71}{12}3.25+0.5x+

3+1

7 simplify 3+13+1 to 44

3.25+0.5x+\frac{4}{3}+\frac{5x}{6}=\frac{71}{12}3.25+0.5x+

8 simplify 3.25+0.5x+\frac{4}{3}+\frac{5x}{6}3.25+0.5x+

to \frac{13.75}{3}+\frac{4x}{3}

13.75

\frac{13.75}{3}+\frac{4x}{3}=\frac{71}{12}

13.75

9 simplify \frac{13.75}{3}

13.75

to 4.5833334.583333

4.583333+\frac{4x}{3}=\frac{71}{12}4.583333+

10 subtract 4.5833334.583333 from both sides

\frac{4x}{3}=\frac{71}{12}-4.583333

−4.583333

11 simplify \frac{71}{12}-4.583333

−4.583333 to \frac{4}{3}

\frac{4x}{3}=\frac{4}{3}

12 multiply both sides by 33

4x=\frac{4}{3}\times 34x=

×3

13 simplify \frac{4}{3}\times 3

×3 to \frac{12}{3}

4x=\frac{12}{3}4x=

14 simplify \frac{12}{3}

to 44

4x=44x=4

15 divide both sides by 44

x=1

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Brian wants to purchase a piece of fabric that is between 49 and 53 inches long. he can choose betwe...