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Ostrovityanka [42]
3 years ago
15

Write 0.5 as a percentage

Mathematics
2 answers:
balandron [24]3 years ago
8 0

Answer:

50%

Step-by-step explanation:

maw [93]3 years ago
3 0

Answer:

50%

Step-by-step explanation:

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QUESTION 1
SVEN [57.7K]

Answer:

1)

1st Error: In going from Step 3 to Step 3.

Reason: Negative sign is not distributed inside the brackets.

2nd Error: In going from Step 5 to Step 6

Reason: Sign of the number is not changed while moving to other side of inequality,

2)

a) 12=-4(-6x-3) and x+5=-5x+5

b) -(7-4x)=9 and 5x+34=-2(1-7x) and -8=-(x+4)

Step-by-step explanation:

Question 1)

The given inequality is:

\frac{5}{12}-\frac{x-3}{6} \leq  \frac{x-2}{3}

<u>Step 1: Making the denominators common for all fractions</u>

\frac{5}{12}-\frac{2}{2} \times \frac{x-3}{6} \leq \frac{4}{4} \times \frac{x-2}{3}

This step is done correctly in the given solution.

<u>Step 2: Simplifying </u>

\frac{5}{12}-\frac{2x-6}{12}\leq \frac{4x-8}{12}

This step is done correctly in the given solution

<u>Step 3: Multiplying both sides by 12, and simplifying.</u>

5-(2x-6)\leq 4x-8\\\\ 5-2x+6\leq 4x-8

First error is made in this step. While opening the brackets, the negative sign should be distributed inside the bracket, which will change the signs.

<u>Step 4: Simplification:</u>

11-2x\leq 4x-8

<u>Step 5: Moving Common terms to one side and simplifying</u>

-2x-4x\leq -8-11\\\\ -6x\leq -19

Error was made in this step. When a number is moved to other side, its sign will be changed.

<u>Step 6: Dividing both sides by -6</u>

x\geq \frac{19}{6}

Conclusion:

1st Error: In going from Step 3 to Step 3.

Reason: Negative sign is not distributed inside the brackets.

2nd Error: In going from Step 5 to Step 6

Reason: Sign of the number is not changed while moving to other side of inequality,

Question 2:

In the Equation 2: 12=-4(-6x-3), when -4 will be multiplied inside the brackets, the 12 on eft hand side will cancel the 12 that will appear on right hand side, giving a result that will lead to x = 0.

Same is the case with Equation 6: x+5=-5x+5, 5 on both sides will cancel out leaving x = 0.

So, 2nd and 6th equations will have the same solution.

In Equation 1, on expanding the bracket and moving 7 to other side, we get a relation: 4x = 16

In Equation 3, on simplifying the right hand side, and carrying common terms to one side, we get the relation: - 9x = -36

In Equation 5, on expanding the bracket and simplifying the relation is reduced to 4 = x

It can be observed that all these 3 equations have the same solution i.e. x = 4

So, the following set of Equations have the same solution:

a) 12=-4(-6x-3) and x+5=-5x+5

b) -(7-4x)=9 and 5x+34=-2(1-7x) and -8=-(x+4)

6 0
3 years ago
Read 2 more answers
Evaluate 11y when y=5
aleksklad [387]

Answer:

55

Step-by-step explanation:

11y

11×5

55

hope it helps

4 0
2 years ago
Read 2 more answers
True or False?The first distribution shown below has a smaller standard deviation than does the second distribution.1, 2, 3, 4,
Mandarinka [93]

Answer:

False, they have the same standard deviation

Step-by-step explanation:

Standard deviation is the distance each data value is from the mean.

While the mean of each data set will be different, the distance each data value is from this mean will be the same.  This is because each set goes sequentially from 1 to 12, or from 101 to 112.  The average distance from the mean will have to be the same.

To verify, using a graphing calculator, the standard deviation of the first set is 3.45.  The standard deviation of the second set is also 3.45.

6 0
3 years ago
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Convert 17/3 into a mixed number
Firlakuza [10]

Answer: 5 2/3

17 divided by 3 is 5 2/3

4 0
3 years ago
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The weather man predicted there would be 16 inches of snowfall. When measures, there was only 14 inches of snowfall. What percen
Crank

Answer:80%

Step-by-step explanation:

4 0
3 years ago
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