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inn [45]
3 years ago
7

How do you re-write 0.7 repeating as a simplified fraction?

Mathematics
2 answers:
Kobotan [32]3 years ago
4 0

Answer:

\frac{7}{9}

Step-by-step explanation:

Given

0.77......

We require 2 equations with the repeating part after the decimal point.

let x = 0.77.... (1) ← multiply both sides by 10

10x = 7.77.... (2)

Subtract (1) from (2) thus eliminating the repeating decimal

9x = 7 ( divide both sides by 9 )

x = \frac{7}{9}

Brums [2.3K]3 years ago
3 0

Answer:

7/10

Step-by-step explanation:

because .7*10 = 70 and it would  be 70/100 so you simplify it to 7/10

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You roll a pair of honest dice. If you roll a total of 7, you win $18; if you roll a total of 11, you win $54; if you roll any o
amm1812
Answer: -1
The negative value indicates a loss

============================================================

Explanation:

Define the three events
A = rolling a 7
B = rolling an 11
C = roll any other total (don't roll 7, don't roll 11)

There are 6 ways to roll a 7. They are
1+6 = 7
2+5 = 7
3+4 = 7
4+3 = 7
5+2 = 7
6+1 = 7
Use this to compute the probability of rolling a 7
P(A) = (number of ways to roll 7)/(number total rolls) = 6/36 = 1/6
Note: the 36 comes from 6*6 = 36 since there are 6 sides per die

There are only 2 ways to roll an 11. Those 2 ways are:
5+6 = 11
6+5 = 11
The probability for event B is P(B) = 2/36 = 1/18

Since there are 6 ways to roll a "7" and 2 ways to roll "11", there are 6+2 = 8 ways to roll either event. 
This leaves 36-8 = 28 ways to roll anything else
P(C) = 28/36 = 7/9

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

In summary so far,
P(A) = 1/6
P(B) = 1/18
P(C) = 7/9

The winnings for each event, let's call it W(X), represents the prize amounts.
Any losses are negative values
W(A) = amount of winnings if event A happens 
W(B) = amount of winnings if event B happens
W(C) = amount of winnings if event C happens
W(A) = 18
W(B) = 54
W(C) = -9

Multiply the probability P(X) values with the corresponding W(X) values
P(A)*W(A) = (1/6)*(18) = 3
P(B)*W(B) = (1/18)*(54) = 3
P(C)*W(C) = (7/9)*(-9) = -7

Add up those results
3+3+(-7) = -1

The expected value for this game is -1.
The player is expected to lose on average 1 dollar per game played.


Note: because the expected value is not 0, this is not a fair game.


7 0
3 years ago
Read 2 more answers
Miss groves has trays of paint for students In her art class each tray has 5 colors one of the colors is purple what fraction of
Simora [160]

Answer:

1/5

Step-by-step explanation:

If each tray has 1 purple in 5 colors, it doesn't matter how many trays there are. The fraction of colors that is purple is 1/5.

4 0
3 years ago
What is the equation of the line that passes through the point (8,4) and has a slope of 3/2
iren [92.7K]

Answer: Y= 3/2x-8=

Step-by-step explanation:Y=4 M= 3/2. X=-8

Y=mx+b

4 = 3/2(8)+b

4= 24/2+b

4= 12+b

-12=-12

-8=b

3 0
3 years ago
Round 4700 to the nearest hundred.
klio [65]

Answer:

4700

Step-by-step explanation:

It's already at the nearest hundred

8 0
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5x + 1 over 2y2
Oxana [17]

Step-by-step explanation:

So for this question just substitute the value and work out. I thought it it to the power of 2 as I can't tell from the question.

4 0
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