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3 years ago

Order from least to greatest 5/12,2/3,1/2,5/6,3/4

Mathematics

1 answer:

Effectus [21]3 years ago

4 0

Answer:

Step-by-step explanation:

5/12

1/2

2/3

3/4

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Simplify 10 + 4(x + 1) + 5

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Distribute
10+4x+4+5

Combine like terms
19+4x

Final answer: 4x+19

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3 years ago

The denominator of a fraction is 4 more than the numerator if both are decreased by 3 the simplified result is 6/7 find original

Hitman42 [59]

<u>Answer:</u>

The denominator of a fraction is 4 more than the numerator. The original fraction is $\frac{27}{31}$

<u>Solution:</u>

Given that

Denominator of fraction is 4 more than the numerator.

Let’s say numerator of fraction be represented by variable x.

So denominator of a faction as it is four more that numerator will be x + 4

Also given if both decreased by three than simplified result is $\frac{6}{7}$

$=>\frac{(x-3)}{((x+4)-3)}=\frac{6}{7}$

Solving above equation for x

=> 7(x – 3 ) = 6 ( x + 1 )

=> 7x – 21 = 6x + 6

=> 7x – 6x = 6 + 21

=> x = 27

Numerator of fraction = x = 27

Denominator of fraction = x + 4 = 27 + 4 = 31

$\text {required fraction}=\frac{\text {numerator}}{\text {denominator}}$

$= \frac{27}{31}$

Hence the original fraction is $\frac{27}{31}$

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4 years ago

Find the equation of the line using the point-slope formula. Write the final equation using the slope-intercept form. the x-inte

wariber [46]

Step-by-step explanation:

Given x intercept is 1, So (x,y) is (1,0)

When x intercept is 1 then y value is 0

Another point on the line is (-2,3)

Two points are (1,0) and (-2,3)

Find out slope using the two given points

$slope m=\frac{y_{2}-y_1}{x_2-x_1} =\frac{3-0}{-2-1} =-1\\m=-1$

Use point slope formula

m=-1 and point(1,0)

$y-y_{1}=m(x-x_{1})\\y-0=-1(x-1)\\y=-1x+1$

Point slope equation is

$y-0=-1(x-1)$

Equation of the line in slope intercept form is

$y=-1x+1$

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4 years ago

This profession earnd $53,850 more than the bank teller over a period of 15 years.

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Answer:

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Step-by-step explanation:

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4 years ago