Mathematics, 28.12.2019 02:31 nestergurl101

Rounded to the nearest thousandth, what is the decimal equivalent of 6 7/9%?
a. 0.067 b. 0.068 c. 0.677 d. 0.678

Answers: 2

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Answer from: freddhendrickss

b. 0.068

Step-by-step explanation:

We have been given a percent value $6\frac{7}{9}\%$ and we are asked to find the decimal equivalent to our given percentage.

First of all we will convert our given mixed fraction into improper fraction.

$6\frac{7}{9}\%=\frac{6\cdot 9+7}{9}\%=\frac{54+7}{9}\%=\frac{61}{9}\%$

Since we know that to convert a percent to decimal we divide the number by 100.

$\text{Decimal equivalent to 6}\frac{7}{9}\%=\frac{61}{\frac{9}{100}}$

$\text{Decimal equivalent to 6}\frac{7}{9}\%=\frac{61*1}{9*100}$

$\text{Decimal equivalent to 6}\frac{7}{9}\%=\frac{61}{900}$

$\text{Decimal equivalent to 6}\frac{7}{9}\%=0.0677777777$

Upon rounding our answer to nearest thousandth we will get,

$\text{Decimal equivalent to 6}\frac{7}{9}\%=0.068$

Therefore, the decimal equivalent to $6\frac{7}{9}\%$ is 0.068 and option 'b' is the correct choice.

Answer from: Quest

step-by-step explanation:

12475909

Answer from: Quest

a. we have two

lines: y = 4-x and

y = 8-x^-1

given two simultaneous equations that are both to be

true, then the solution is the points where the lines cross. the intersection is

where the two equations are equal. therefore the solution that works for both

equations is when

4-x = 8-x^-1

this is where the two lines will cross and that is the

common point that satisfies both equations.

b. 4-x = 8-x^-1

x 4-x 8-x^-1

-3 7

8.33

-2 6 8.5

-1 5 9

0 4

1 3

2 2

7.5

3 1 7.67

the table shows that none of the x values from -3 to 3 is

the solution because in no case does

4-x = 8-x^-1

to find the solution we need to rearrange the equation to

find for x:

4-x = 8-x^-1

multiply both sides with x:

4x-x^2 = 8x-1

x^2+4x-1=0

x= -4.236, 0.236

therefore there are two points that satisfies the

equation.

find y:

x=-4.236

y = 4-x = 4 – (-4.236)

= 8.236

y = 8-x^-1 = .236)^-1

= 8.236

x=0.236

y = 4-x = 4 – (0.236) = 3.764

y = 8-x^-1 = 8-(0.236)^-1

= 3.764

thus the two lines cross at 2 points:

(-4.236, 8.236) & (0.236, 3.764)

c. to solve

graphically the equation 4-x = 8-x^-1

we would graph both lines: y = 4-x and y

= 8-x^-1

the point on the graph where the lines cross is the

solution to the system of equations.

just graph the points on part b on a cartesian coordinate

system and extend the two lines. the

solution is, as stated, the point where the two lines cross on the graph.

step-by-step explanation:

mark brainliest!

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Rounded to the nearest thousandth, what is the decimal equivalent of 6 7/9%?
a. 0.067 b. 0.06...

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