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Gemiola [76]
3 years ago
13

Eight times the reciprocal of a number equals 4 times the reciprocal of 2. find the number

Mathematics
1 answer:
uysha [10]3 years ago
4 0

Answer:

The number is 4

Step-by-step explanation:

Let the number  = 'x'

Reciprocal of 'x' = 1/x

Reciprocal of 2 = 1/2

8 times the reciprocal of 'x' = 8*\frac{1}{x}\\

8*\frac{1}{x}= 4* \frac{1}{2}\\\\8*\frac{1}{x}= 2\\

Now multiply both sides by x

8*\frac{1}{x}*x = 2*x\\\\8 = 2x

Now divide both sides by 2

\frac{8}{2}=\frac{2x}{2}\\\\4 = x

x = 4

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Subtract the mixed fractions 7 1/4 - 2 4/5=
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Answer:

4.45

Step-by-step explanation:

I took a test and this question appeared,i remembered the answer , Sorry if i got it wrong..

4 0
3 years ago
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Find the missing value.<br> Hint: Use the number line to find the missing value.<br> -3=7-?
Ksivusya [100]

Answer:

X = 10

Step-by-step explanation:

-3=7-x

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3 0
3 years ago
Question 3 (Essay Worth 10 points)
Vika [28.1K]

Answer:

a) A= Lenght *Width

And replacing we got:

A= (3x+10) (4x+5)

And simplifying we got:

A = 12x^2 +15x +40x +50 = 12x^2 +55x +50

b) For this case since the coeficient for the higher degree is 2 then the polynomial is of second degree.

c) We need to remember that the closed property for polynomials tell to us that if we apply any operation between two polynomials we need to obtain and other polynomial. For this special case the property is the sum and after multiply we have another polynomial with a higher degree and then the closed property is satisfied.

Step-by-step explanation:

We know a  rectangle has sides measuring (4x + 5) units and (3x + 10) units

Part a

For this case we can find the area like this:

A= Lenght *Width

And replacing we got:

A= (3x+10) (4x+5)

And simplifying we got:

A = 12x^2 +15x +40x +50 = 12x^2 +55x +50

Part b

For this case since the coeficient for the higher degree is 2 then the polynomial is of second degree.

Part c

We need to remember that the closed property for polynomials tell to us that if we apply any operation between two polynomials we need to obtain and other polynomial. For this special case the property is the sum and after multiply we have another polynomial with a higher degree and then the closed property is satisfied.

5 0
3 years ago
How do you do congruence and transformations
defon
I love this unit a-lot (super fun)

So Congruent/Congruence is, For example If you have two triangles on a coordinates grid with the same coordinates than that would mean they're congruent. Shortened down would be 

Same shape same coordinates same dimension same size (same everything)

Transformations would be Rotating a shape clockwise(CW)...right) or counterclockwise(CC Left) 

Or Dilation which is making the shape smaller or bigger based on a scale factor.
  
Or reflection

How you would perform Reflection is reflect the shape over either the X-axis 
Or the Y-axis 

How you would perform a Translation would be to literally move the shape right left up or down.

How you would perform a Dilation(scaling) would be to pick a scale factor and either decrease or increase the size of the shape according to the scale factor number 

How you would perform a Rotation would be to pick a point of rotation (P.O.R) and then pick your measure º such as 90º clockwise and rotate accordingly. 


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3 0
4 years ago
What is the correct set of data for the stemplot? The stemplot below represents the number of bite-size snacks grabbed by 10 stu
STatiana [176]

Answer:

C. 15, 16, 16, 17, 19, 20, 21, 23, 32, 42.

Step-by-step explanation:

Using the key: 2|4 = 24, the following are the set of data represented by the stem-and-leaf plot showing:

Row one, 1| 5 6 6 7 9:

This means there are 5 data set for the first row which are:

15, 16, 16, 17, 19

Row two, 2|0 1 3:

There are 3 data here, which are:

20, 21, 23

Row 3, 3|2: = 32

Row 4, 4|2: = 42

The correct set of data are 15, 16, 16, 17, 19, 20, 21, 23, 32, 42.

Correct option is C.

6 0
3 years ago
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