What is 2.16 repeat rewrite as a fraction

Answers

Answer 1

Answer: 2.16 repeat as a fraction is:

x = 2.16666666
10x = 21.6666666
100x = 216.666666
100x - 10x = 216.666666 (repeat) - 21.6666666 (repeat) = 195
90x = 195
x = 195 / 90
x = (195/3) / (90/3)
x = 65 / 30
x = (65/5) / (30/5)
x = 13 / 6

x = 13/6

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Maria walked 3 km west and 4 km south . calculate how far she is from her starting point.

Answers

if you draw her track and connect her starting and ending points, you have a right triangle, with 3 and 4 being the legs. According to the pythagorean theorem. 3^2+4^2=x^2 when x is her distance from starting point. so x^2=25 and x=5. Her distance is 5

What is 2/5 percent equal to

Answers

2/5 percent is equal to 0.004 .

2/5 is equal to 0.4 .

2/5 percent equals 40,you can divide 2 by 5 and get .4 and then move the decimalover 2 places and get 40%

One size of cardboard can be purchased in sheets that are 3/16 inch thick. The sheets of cardboard are stacked on top of each other in packages. The height of each stack is 2 1/4 inches. How many number of sheets are in a stack

Answers

If you would like to know how many number of sheets are in a stack, you can calculate this using the following steps:

2 1/4 = 9/4
2 1/4 inches / 3/16 inch = 9/4 / 3/16 = 9/4 * 16/3 = 3*4 = 12 sheets

The correct result would be: 12 sheets are in a stack.

What is 3,676,487 rounded to the nearest thousans

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It is 3,676,000 because if you go to the 6 in the thousand place and look at ur neighbor which is a 4 so if it's 4 and under u keep your number the same and if it's 5 and over u bump it up...

the answer is 3,676,000

Jeremy claims that if a linear function has a slope of the same steepness and the same y-intercept as the linear function in the graph, then it must be the same function. On a coordinate plane, a line goes through points (0, negative 1) and (2, 0). Which equation is a counterexample to Jeremy’s argument? y = negative one-half x minus 1 y = negative one-half x + 1 y = one-half x minus 1 y = one-half x + 1

Answers

Answer: It is only the 3rd equation that is a good example to Jeremy's argument. Others are counter examples to Jeremy's argument.

Step-by-step explanation:

Let us consider the general linear equation

Y = MX + C

On a coordinate plane, a line goes through points (0, negative 1) and (2, 0).

Slope = ( 0 - -1)/( 2- 0) = 1/2

When x = 0, Y = -1

Substitutes both into general linear equation

-1 = 1/2(0) + C

C = -1

The equations for the coordinate is therefore

Y = 1/2X - 1

Let's check the equations one after the other

y = negative one-half x minus 1

Y = -1/2X - 1

y = negative one-half x + 1

Y = -1/2X + 1

y = one-half x minus 1

Y = 1/2X - 1

y = one-half x + 1

Y = 1/2X + 1

It is only the 3rd equation that is a good example to Jeremy's argument. Others are counter examples to Jeremy's argument.

Final answer:

Jeremy's claim that if a linear function has the same steepness (slope) and the same y-intercept, it must be the same function is not correct. A counterexample is y = negative one-half x + 1, which has the same steepness and y-intercept but is a different function.

Explanation:

The line going through points (0, negative 1) and (2, 0) can be expressed in slope-intercept form (y = mx + b) where the slope m can be calculated as (y2-y1)/(x2-x1) and the y-intercept b is the y-value when x=0. For this line, we have m = (0 - (-1))/(2-0) = 1/2 and b = -1. Hence, the equation for this line is y = one-half x - 1.

However, we can prove Jeremy's claim wrong with a counterexample. Even if a function has the same slope and y-intercept, it doesn't necessarily mean they represent the same function. A counterexample is y = negative one-half x + 1. This line has the same steepness (slope -1/2) but a different direction (its slope is negative, unlike the other line), and the same y-intercept (y=1 when x=0) but it's not the same function.