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3 years ago

Show that the following number is rational: 7.526262626... show all work, discrete math

1 answer:

6 0

$x=7.5\overline{26}\\10x=75.\overline{26}\\1000x=7526.\overline{26}\\1000x-10x=7526.\overline{26}-75.\overline{26}\\990x=7451\\x=\dfrac{7451}{990}$

It can be expressed as a fraction with integer numerator and denominator, so it's a rational number.

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annual salary is 48,000 and she earns 4% commission on all sales they make if they want to make a total of 6,000 this month how

AlekseyPX

Subtract 48,000 from 6,000 divide it by 4=10500.

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3 years ago

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mash [69]

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2 years ago

8 x 5/6 = z<br> What is z?<br><br> A. 53/6<br> B. 40/6<br> C. 13/48<br> D. 5/48

blondinia [14]

Answer:

$\huge \boxed{ \boxed{\mathbb{B)} \frac{40}{6} }}$

Step-by-step explanation:

<h3>to understand this</h3><h3>you need to know about:</h3>

equation
PEMDAS

<h3>given:</h3>

8×⅚=z

<h3>let's solve:</h3>

$\sf multiply \: both \: sides \: by \: 6 : \\ (8 \times \frac{5}{6} ) \times 6 = z \times 6$
$\sf simplify : \\ 8 \times 5 = 6z \\ 40=6z$
$\sf divide \: both \: sides \: by \: 6 : \\ \frac{6z}{6} = \frac{40}{6} \\ z = \frac{40}{6}$

5 0

3 years ago

Read 2 more answers

Describe the graph of the function.<br> y =Square root of<br> x-1 + 4

Ulleksa [173]

Answer: Square root of x+3

Step-by-step explanation:

Insert the denominator to 3

5 0

3 years ago

Read 2 more answers

What is m∠AEB?<br><br><br><br> Enter your answer in the box.

avanturin [10]

Angle AEB and angle CED are vertical angles, this means they equal each other, therefore we set their values as an equation and solve:

5x-10=3x+40
Subtract 3x to both sides
2x-10=40
Add 10 to both sides
2x=50
Divide both sides by 2
x=25

After we have gotten the value of x we can plug it in into the equation of angle AEB:

5x-10
Substitute x by 25
5(25)-10
Distribute
125-10
Substract
115

The measurement of angle AEB is 115

Hope it helped!, have a great day.

7 0

2 years ago