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OLEGan [10]
3 years ago
11

Write the fraction 29/7 as a repeating decimal

Mathematics
1 answer:
marshall27 [118]3 years ago
4 0

Answer:

See below.

Step-by-step explanation:

7 ) 29.0

    = 4 1/7

= 4.142857142857.........

The 142857 repeats itself without bounds.

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A line is drawn so that it passes through the points (-3, -1) and (4, 2).
marishachu [46]

Answer:

(A) \boxed{\bold{y=\frac{3}{7}x+\frac{2}{7}}}

(B) \boxed{\bold{2 \ = \ \frac{3}{7} * \ 4 \ + \ \frac{2}{7}  }}

Explanation:

(A) Slope: y = mx + b

m = 3/7

b = 2/7

Slope = \bold{\frac{y_2-y_1}{x_2-x_1}}

\bold{\left(x_1,\:y_1\right)=\left(-3,\:-1\right),\:\left(x_2,\:y_2\right)=\left(4,\:2\right)}

M = \bold{\frac{2-\left(-1\right)}{4-\left(-3\right)}: \ \frac{3}{7} }

Y intercept

\bold{y=\frac{3}{7}x+b}

Plug in \bold{\left(-3,\:-1\right)\mathrm{:\:}\quad \:x=-3,\:y=-1}

\bold{-1=\frac{3}{7}\left(-3\right)+b}

Isolate B

\bold{-1=\frac{3}{7}\left(-3\right)+b}

b = \bold{\frac{2}{7} }

(B) 4 = x, 2 = y

2 = 3/7 * 4 + 2/7

5 0
3 years ago
Read 2 more answers
Which fraction, in lowest terms, is equivalent to the decimal 0.5?
BARSIC [14]

Answer:

1/2

Step-by-step explanation:

The decimal 0.5 is equal to the fraction 1/2.

it can also be, 0.5 represent the fraction 5/10.

8 0
3 years ago
Read 2 more answers
Please help. Im dying for the explanation. I will mark you brainalist.
AlekseyPX

Step-by-step explanation:

Given that the mean of the numbers is 12

mean =  \frac{sum \:  \: of \: observations}{total \: number \: of \: observations}

so here

let's that one as x and another one as 2x since it is given that one is twice the other

Therefore we get

mean =  \frac{13 + x + 4 + 16 + 6 + 2x}{6}

Given mean = 12

12 =  \frac{39 + 3x}{6}

72 = 39 + 3x

3x = 33

x = 11

Hence it's 11 and 22

5 0
2 years ago
Which is the equation of the given line? X=4, y=2x , y=2, x=2
katrin2010 [14]
The equation of the line is x=2
6 0
3 years ago
Read 2 more answers
Which of the following points lies on the line perpendicular to
sergij07 [2.7K]

Answer:

Step-by-step explanation:

recall that perpendicular lines have slopes that are opposite reciprocals. if u don't know what opposite reciprocals are, according to study.com they are, "The term opposite reciprocals refers to two numbers that have opposite signs and are flipped fractions of each other." for example, 1/2 and -2 are opposite reciprocals.

also recall that the formula to find the slope of a line is m=y2-y1/x2-x1

to solve this problem, we need to go through all of the options and find the slope of that line using the given point and point (0,4). After that, we need to check if that slope is equal to 1. One is the opposite reciprocal of -1, and -1 is the slope of the equation y= -x+4. if the slope is equal to 1, the line will be perpendicular to the line y= -x+4.

lets do the math now:

option a)

m=y2-y1/x2-x1

m=12-4/6-0

m=8/6

m=4/3

this line isnt perpendicular to y= -x +4 cuz the slope is 4/3, which isnt equal to 1

option b)

m=y2-y1/x2-x1

m=0-4/6-0

m=-4/6

m= -2/3

this line isnt perpendicular to y= -x +4 cuz the slope is -2/3, which isnt equal to 1

--------------

ok girl i dont wanna do all the rest of the calculations. just keep doing the same thing with all the other options until you find something that has a slope of 1.

toodles! :)

6 0
3 years ago
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