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tensa zangetsu [6.8K]
3 years ago
11

Sheila has 11 1/2 pounds of potato salad. She wants to divide the potato salad into containers, each of which holds 1 3/4 pounds

. How many containers does she need? Complete the explanation.
Containers are counted in numbers, so she will need containers.
Mathematics
1 answer:
Mice21 [21]3 years ago
5 0

Hello!

<h2>Answer:</h2>

\boxed{ \bf Sheila~will~need~about~7~containers.}

__________________________________________________

<h2>Explanation:</h2>

First, we will need to convert the mixed fractions to improper fractions.

Numerators: (2 · 11) + 1 = 23

                      (4 · 1) + 3 = 7

Denominators: stay the same.

11 \frac{1}{2} ⇒ \frac{23}{2}

1 \frac{3}{4}  ⇒ \frac{7}{4}

Next, we must divide these two fractions:

\frac{23}{2} ÷ \frac{7}{4}

We must flip the divisor into a reciprocal:

\frac{23}{2} ÷ \frac{4}{7}

Change the division sign to multiplication and multiply:

\frac{23}{2} × \frac{4}{7} = \frac{92}{14}

To find out how many containers will be needed, simply convert this fraction to a decimal by dividing the numerator by the denominator.

92 ÷ 14 = 7 (Rounded)

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Hi I need this asap if you also explain the work on how you got answers plz and thank you<br>​
weeeeeb [17]

Answer:

<u>Q/ Draw a line ; Ans; </u>

\frac{9}{5}  —>1 \frac{4}{5}

*explain ; We put the 5 in the denominator and 5 multiply 1 + 4 so equal 9 so the choice 9/5 .

Ans; 7/3—> 2 1/3

*explain ; We put the 3 in the denominator and 3 multiply 2 + 1 so equal 7 so the choice 7/3 .

Ans; 12/10 —> 1 1/5

*explain; simple (12 and 10) ÷ 2 so equal 6/5

We put the 5 in the denominator and 5 multiply 1 + 1 so equal 6 so the choice 6/5 =12/10 .

\frac{12 \div 2}{10 \div 2}  =  \frac{6}{5}  = 1 \frac{1}{5}

<u>Q/ Compare the fractions;Ans;</u>

\frac{2}{3}  <  \frac{14}{6}

* explain; 2/3 = 0.66 and 14/6=2.33 so 2.33 greater from 0.66 so 14/6 greater from 2/3 .

\frac{3}{8}  <  \frac{8}{3}

* explain; 3/8 = 0.375 and 8/3=2.666 so 2.666 greater from 0.375 so 8/3 greater from 3/8 .

2  \frac{1}{6}  >  \frac{5}{9}

* explain; 2 1/6 —> We put the 6 in the denominator and 6 multiply 2 + 1 so equal 13 so equal 13/6

13/6 = 2.16 and 5/9=0.55 so 2.16 greater from 0.55 so 13/6 = 2 1/6 greater from 5/9 .

<u>Q/Add; Ans;</u>

\frac{7}{8}  +  \frac{5}{8}  =  \frac{7 + 5}{8}  =  \frac{12}{8}  =  \frac{3}{2}

\frac{1}{9}  +  \frac{2}{3}  \\  \\  \frac{1}{9}  +  \frac{6}{9}  =  \frac{ 1+6 }{9}  =  \frac{7}{9}

<u>Q/Subtract; Ans;</u>

\frac{6}{7}  -  \frac{4}{7}  =  \frac{6 - 4}{7}  =  \frac{2}{7}

\frac{7}{3}  -  \frac{2}{9}  \\  \\  \frac{21}{9}  -  \frac{2}{9}  =  \frac{21 - 2}{9}  =  \frac{19}{9}

<u>Q/ Multiply;Ans;</u>

\frac{1}{5}  \times  \frac{1}{2}  =  \frac{1}{10}

\frac{2}{3}  \times  \frac{3}{8}  =  \frac{6}{24}  =  \frac{1}{4}

<u>Q/Divide;Ans;</u>

\frac{3}{4}  \div  \frac{2}{5}  \\  \\  \frac{3}{4}  \times  \frac{5}{2}  =  \frac{15}{8}

\frac{8}{9}  \div  \frac{1}{3}  \\  \\  \frac{8}{9}  \times  \frac{3}{1} =   \frac{24}{9}  =  \frac{8}{3}

I hope I helped you^_^

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3 years ago
SIMPLIFY the expression
Burka [1]
The answer to your question is 7
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Given the following functions f(x) and g(x), solve f over g(−4) and select the correct answer below:
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Which number is an irrational number? (1 point)
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Answer: The answer is (B). 1.01257486...

Step-by-step explanation:  We are given four real numbers out of which we are to select the one which is irrational.

Option (A) is 0.12, in which the digits after the decimal are terminating. So, the number is rational.

Option (B) is 1.01257486..., the digits after the decimal are non-terminating and non-recurring. So, the number is irrational.

Option (C) is 0.1212121212..., in which the digits after the decimal are non-terminating and recurring. So, the number is rational.

Option (D) is 0.11111111..., in which the digits after the decimal are non-terminating and repeating. So, the number is rational.

Thus, (B) is the correct option.

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2. Write each of the following in set builder form. A = [5, 10, 15,20]​
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Answer:

A={x:x is a multiple of five }

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