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den301095 [7]
3 years ago
11

The quotient of a number and 3 decreased by 121 is -164. Select the solution to the sentence shown.

Mathematics
1 answer:
docker41 [41]3 years ago
6 0
Its algebra. The original equation is \frac{x}{3} -121 = -164

To solve for a variable, we reverse the order of operations, beginning with addition/subtraction, and then multiplication/division. To remove a number from one side, we must do the opposite to the other side. In this case, to get rid of the -121 we must add 121 to the -164. This gives us -43. Then, to get the x by itself, we must multiply the other side by 3. -43*3=129

When we are doing the opposite of an operation to the other side, we are really reversing the operation and, to keep both sides equal, we must do whatever we have done to one side to the other side. So when we have -121, we add 121 as it equals 0, therefore it is gone. Since a equation must be balanced, we have to do what we did to the other side (adding 121).



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Find the scale factor that was used to create the dilaton below
Ne4ueva [31]

Let:

k\cdot IW=I^{\prime}W^{\prime}

Where:

k = scale factor

IW = 12

I'W'= 8

so, solving for k:

\begin{gathered} k=\frac{I^{\prime}W^{\prime}}{IW} \\ k=\frac{8}{12}=\frac{2}{3} \end{gathered}

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1 year ago
Drag the tiles to the correct boxes to complete the pairs.
Ne4ueva [31]

Answer:

Part 1) -1.25 -------> 2.75/(-2.2)

Part 2) -4\frac{1}{3} --------> (-2\frac{3}{5}) / (\frac{3}{5})

Part 3) \frac{2}{3} ------> (-\frac{10}{17}) / (-\frac{15}{17})

Part 4) 3 ------> (2\frac{1}{4}) / (\frac{3}{4})

Step-by-step explanation:

Part 1) we have

2.75/(-2.2)

To calculate the division problem convert the decimal number to fraction number

2.75=275/100\\ -2.2=-22/10      

so

(275/100)/(-22/10)

Remember that

Since division is the opposite of multiplication, you can turn this division problem into a multiplication problem by multiplying the top fraction by the reciprocal of the bottom fraction

(275/100)/(-22/10)=(275/100)*(-10/22)=-(275*10)/(22*100)=-(275)/(220)

Simplify

Divide by 22 both numerator and denominator

-(275)/(220)=-125/100=-1.25

Part 2) we have

(-2\frac{3}{5}) / (\frac{3}{5})

To calculate the division problem convert the mixed number to an improper fraction  

(-2\frac{3}{5})=-\frac{2*5+3}{5}=-\frac{13}{5}

so

(-\frac{13}{5}) / (\frac{3}{5})

Since division is the opposite of multiplication, you can turn this division problem into a multiplication problem by multiplying the top fraction by the reciprocal of the bottom fraction

(-\frac{13}{5}) / (\frac{3}{5})=(-\frac{13}{5})*(\frac{5}{3})=-\frac{13*5}{5*3}=-\frac{13}{3}

Convert to mixed number

-\frac{13}{3}=-(\frac{12}{3}+\frac{1}{3})=-4\frac{1}{3}

Part 3) we have

(-\frac{10}{17}) / (-\frac{15}{17})

Since division is the opposite of multiplication, you can turn this division problem into a multiplication problem by multiplying the top fraction by the reciprocal of the bottom fraction

(-\frac{10}{17}) / (-\frac{15}{17})=(-\frac{10}{17})*(-\frac{17}{15})=\frac{10*17}{17*15}=\frac{10}{15}

Simplify

Divide by 5 both numerator and denominator

\frac{10}{15}=\frac{2}{3}

Part 4) we have

(2\frac{1}{4}) / (\frac{3}{4})

To calculate the division problem convert the mixed number to an improper fraction  

(2\frac{1}{4})=\frac{2*4+1}{4}=\frac{9}{4}

so

(\frac{9}{4}) / (\frac{3}{4})

Since division is the opposite of multiplication, you can turn this division problem into a multiplication problem by multiplying the top fraction by the reciprocal of the bottom fraction

(\frac{9}{4}) / (\frac{3}{4})=(\frac{9}{4})*(\frac{4}{3})=\frac{9*4}{4*3}=\frac{9}{3}=3

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3 years ago
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gregori [183]

Answer:

-2,1,4

Step-by-step explanation:

we have

y=x^{3}-3x^{2} -6x+8

we know that

The zeros of the function are the values of x when the values of the function is equal to zero

In this problem the apparent zeros are

For x=-2

y=0

For x=1

y=0

For x=4

y=0



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Answer:

It is similar because you have to always have the same numerator in adding or subtracting fractions. Adding fractions and subtracting mixed numbers is different because when u have a  mixed number you have to simplify it to its lowest terms to make it easy to tell if it's a whole number or mixed.

example: 2 1/2 + 3/2= 4 now u know its a whole number but as a mixed number that would be 8/2

Step-by-step explanation:

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