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sattari [20]
3 years ago
13

How do you write 1.21 repeating as a fraction

Mathematics
1 answer:
Sergeu [11.5K]3 years ago
3 0

Answer:

Step-by-step explanation:

First, we can write:

x

=

1

.

¯¯¯¯

21

Next, we can multiply each side by  

100

giving:

100

x

=

121

.

¯¯¯¯

21

Then we can subtract each side of the first equation from each side of the second equation giving:

100

x

−

x

=

121

.

¯¯¯¯

21

−

1

.

¯¯¯¯

21

We can now solve for  

x

as follows:

100

x

−

1

x

=

(

121

+

0

.

¯¯¯¯

21

)

−

(

1

+

0

.

¯¯¯¯

21

)

(

100

−

1

)

x

=

121

+

0

.

¯¯¯¯

21

−

1

−

0

.

¯¯¯¯

21

99

x

=

(

121

−

1

)

+

(

0

.

¯¯¯¯

21

−

0

.

¯¯¯¯

21

)

99

x

=

120

+

0

99

x

=

120

99

x

99

=

120

99

99

x

99

=

3

×

40

3

×

33

x

=

3

×

40

3

×

33

x

=

40

33

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mote1985 [20]

Answer:

1. r=17

2. (-15,14) or (-15,-16)

Step-by-step explanation:

The radius of the circle is the distance from the center to the point on the circle, thus

r=\sqrt{(8-(-7))^2+(7-(-1))^2}=\sqrt{15^2+8^2}=\sqrt{225+64}=\sqrt{289}=17.

The equation of the circle is

(x-(-7))^2+(y-(-1))^2=r^2\\ \\(x+7)^2+(y+1)^2=289.

If point lies on this circle, then its coordinates satisfy the circle's equation:

(-15+7)^2+(y+1)^2=289\\ \\64+(y+1)^2=289\\ \\(y+1)^2=225\\ \\y+1=15\text{ or }y+1=-15\\ \\y=14\text{ or }y=-16

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3 years ago
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kykrilka [37]
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6x = 72.....either division property...because u divide both sides by 6.
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5 0
4 years ago
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Sergio [31]
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A magazine claims that the mean amount spent by a customer at Burger Stop is greater than the mean amount spent by a customer at
netineya [11]

Answer: Option "B" is correct.

Step-by-step explanation:

Since we have given that

α= 0.10

Let the population variances are equal and samples are random and independent.

Let \bar{x} be the mean amount spent by a customer at Burger Stop.

Let \mu be the mean amount spent by customer at Fry World.

So, it has given that

the mean amount is spent by a customer at Burger stop is greater than the mean amount spent by a customer at Fry World.

So, Hypothesis would be :

H_0:\bar{x}=\mu\\\\H_1:\bar{x}>\mu

Hence, Option "B" is correct.

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3 years ago
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DerKrebs [107]
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theta=62
diameter=d
thus the arc length will be:
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