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svp [43]
3 years ago
10

Hey! How do I write 0.29 (both 2 and 9 are recurring) as a fraction?

Mathematics
1 answer:
Montano1993 [528]3 years ago
5 0
Hi there!

Since a decimal is a portion of 1 we can simply put a 100 in the denominator to form it into a fraction.

By doing this, we get the fraction 29/100.

Since there is no simplifying we can do for the fraction this is it's final form!

Your answer would be 0.29 = 29/100.
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If the slope of a line is -1 and two points on the line are (-9, 3) and (-10, r), what is the value of r?
ANEK [815]

Answer:

r=4

Step-by-step explanation:

We know that the slope of the line is -1.

We also know that the line passes through (-9, 3) and (-10, r).

We want to find the value of r.

First, let's figure out the equation of our line. We can use the point-slope form:

y-y_1=m(x-x_1)

Where m is the slope and (x₁, y₁) is a point.

So, let's substitute -1 for m. Since we know the point (-9, 3), let's use this for (x₁, y₁).

Substitute:

y-(3)=-1(x-(-9))

Simplify:

y-3=-(x+9)

Distribute:

y-3=-x-9

Add 3 to both sides. So, our equation is:

y=-x-6

It passes through (-10, r) and we want to find the value of r. So, let's substitute -10 for x and r for y, since -10 is our x and r is our y. So:

r=-(-10)-6

Evaluate for r. Distribute:

r=10-6

Subtract:

r=4

So, the value of r is 4.

And we're done!

6 0
3 years ago
A group of hickers buys 8 bags of mixed nuts wash bag contains 3 1/2 cups of mixed nuts. The mixed nuts are shared evenly among
Paul [167]

Answer:

2 1/3 cups

Step-by-step explanation:

The total number of cups of mixed nuts purchased is ...

(8 bags)·(3 1/2 cups/bag) = 8·3.5 cups = 28 cups

When those are shared 12 ways, each share is ...

(28 cups)/(12 shares) = (28/12) cups/share = 2 1/3 cups/share

Each share is 2 1/3 cups.

3 0
3 years ago
Jayanti takes shortest route to her home by walking diagonally across a rectangular park. The park measures 60 meters ×80 meters
hjlf

Answer:

The route across the park is 40 meter shorter than the route around its edges.

Step-by-step explanation:

We have to calculate the distance for both routes

As the route around the edges is straight,  we have to find the sum of length of both edges

Let R_E be the distance of route around edges

R_E = 80+60 = 140\ meters

Now we know that a diagonal divides a rectangle in two right angled triangles in which the diagonal is the hypotenuse.

We can use Pythagoras theorem to find the length of the diagonal

So,

H^2 = P^2 + B^2

In the given scenario

P = 60

B = 80

Now

H^2 = (60)^2 + (80)^2\\H^2 = 3600+6400\\H^2 = 10000\\\sqrt{H^2} = \sqrt{10000}\\H = 100\ meters

In order to calculate that how much shorter is the path across the park, we have to subtract the distance across park from the distance across edges.

= 140-100 = 40\ meters

Hence,

The route across the park is 40 meter shorter than the route around its edges.

7 0
3 years ago
A right cylinder has a radius of r inches and height of 2r inches.
Bess [88]

Answer:

the volume is 6.28r^{3}in^{3}

Step-by-step explanation:

This problem bothers on the mensuration of solid shapes, a cylinder.

Given data

Volume v =  ?

Radius r =  r in

Height h=   2r in

We are expected to solve for the volume of a cylinder, given the above data we can substitute it in the formula for volume of a cylinder to obtain our result

we know that the expression for the volume of a cylinder is

v= \pi r^{2} h

v= 3.142*r^{2} *2r\\v= 3.142*2r^{3} \\v= 6.28r^{3} in^{3} \\

Hence the volume in terms of the radius is 6.28r^{3}in ^{3}

6 0
3 years ago
True or False?
olganol [36]

Answer:

1

Step-by-step explanation:

7 0
2 years ago
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