Our goal here is to somehow "surgically remove" the repeating part of the number, so let's start by putting the original value in a variable and messing around with it a bit.

We'll let $x=7.\overline{6}$ . We want to cut the $0.\overline{6}$ bit off completely, so let's create the scalpel that'll let us do that. If $x=7.\overline{6}$ , then we can also say that $10x=76.\overline{6}$ . Maybe I was lying a bit: the $x$ is our real scalpel here, and $10x$ is where we'll be making the cut. Mathematically, a "cut" is almost always shorthand for subtraction, so let's see what our operation (cutting $x$ off of $10x$ ) leaves us with:

$10x-x=76.\overline{6}-7.\overline{6}\\9x=69$

The operation was a success! We can now simply divide either side by 9 to find $x = 69/9$ , which, when reduced by dividing the numerator and denominator by 3, gives us $x=23/3$

7 0

2 years ago

What’s the MAD of 7 20 9 35 12 15 7 10 20 25

Mumz [18]

Answer:

Population size:10

Mean (μ): 16

Mean Absolute Deviation (MAD): 7.2

Step-by-step explanation:

Mean absolute deviation (MAD) Mean absolute deviation (MAD) of a data set is the average distance between each data value and the mean. ... Mean absolute deviation helps us get a sense of how "spread out" the values in a data set are.

6 0

3 years ago

True or false: 4 (2x + y + 6) is equivalent to 8x + 4y + 24.<br> A true<br> B false

kenny6666 [7]

Answer:

A) true

Step-by-step explanation:

when you use the distributive property with the equation 4(2x + y + 6) you get 8x + 4y + 24

3 0

3 years ago

Which equation shows the point-slope form of the line that passes through (-9, -3) and has a slope of -6?

Snowcat [4.5K]

Answer:

y=-6x-57 is your answer.

Step-by-step explanation:

You will use this equation:

y-y1=m(x-x1). The y1 is -2 and the x1 is -9.

y-(-3)=-6(x-(-9)). You will the distribute the -6 into the x and the -9.

y+3=-6x-54. You will then subtract 3 to both sides.

y=-6x-57 is your answer.

3 0

2 years ago