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Setler [38]
3 years ago
7

Subtract the sum of 5/9 and -2/9 from the sum of 7/12 and -5/12​

Mathematics
2 answers:
Firdavs [7]3 years ago
7 0

[\frac{7}{12}  + ( -  \frac{5}{12} )] -[ \frac{5}{9}   + ( -  \frac{2}{9} )] \\  \\  =   [ \frac{7}{12}  -  \frac{5}{12} ] - [ \frac{5}{9}  -  \frac{2}{9} ] \\  \\  = [  \frac{7 - 5}{12} ] -  [  \frac{5 - 2}{9} ] \\  \\  =  \frac{2}{12}  -  \frac{3}{9}  \\  \\  =  \cancel \frac{2}{12}  -  \cancel \frac{3}{9}  \\  \\  =  \frac{1}{6}  -  \frac{1}{3}  \\  \\  =  \frac{1 - 2}{6}  \\  \\  =  - \frac{1}{6}

<h3>Hope This Helps You ❤️</h3>
Inessa05 [86]3 years ago
7 0

Answer:

         \frac{-1}{6}

Step-by-step explanation:

Sum \ of \ \ \frac{5}{9} \  and \ \frac{-2}{9} =\frac{5}{9} + \frac{-2}{9} = \frac{5-2}{9} = \frac {3}{9} = \frac{1}{3}

Sum \ of \  \frac{7}{12} \ and \ \frac{-5}{12} = \frac{7}{12} \ + \ \frac{-5}{12} = \frac{7-5}{12} = \frac{2}{12} = \frac{1}{6}

subtract \ first \ from \ second = \frac{1}{6} - \frac{1}{3} = \frac{1 -2}{6} = \frac{-1}{6}

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1.3455

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A 15% increase is a multiplication by 1.15

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Step-by-step explanation:

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3 years ago
. Dillion deposits $150 into his account. One week later, he withdraws $26. Write an addition expression to represent this situa
Lina20 [59]

Answer:

Expression = x + 150 +(- 26)

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Step-by-step explanation:

Given

Deposit = \$150

Withdrawal = \$26

Required

Represent the situation

Determine how much higher or lower is the remaining amount

Let the initial amount in his account be represented with x

When he deposited, the balance becomes

Balance = x + 150

When he withdrew, the balance becomes

Balance = x + 150 + (-26)

Hence, the algebraic expression is

Expression = x + 150 +(- 26)

Calculating how much higher or lower

Balance = x + 150 + (-26)

Open bracket

Balance = x + 150 -26

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Answer:

16.7%.

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There are initially 24 + 15 + 8 = 47 pencils in the bag.

Take a pencil out of this bag of 47 pencils. 15 out of the 47 pencils blue. Let A represent the event of getting a blue pencil on the first pick. The probability of getting a blue pencil is:

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\displaystyle P(B|A) = \frac{24}{46}.

The question is asking for the possibility that the first pencil is blue and the second pencil is red. That is:

\displaystyle P(A\cap B) = P(A) \cdot P(B|A) = \frac{15}{47}\times \frac{24}{46} = 0.166512 \approx 16.7\%.

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