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Vedmedyk [2.9K]
3 years ago
8

Express 8.5454545454... as a rational number, in the form p/q where p and q are positive integers with no common factors.

Mathematics
1 answer:
zzz [600]3 years ago
5 0
x=8.\overline{54}\\
100=854.\overline{54}\\
100x-x=854.\overline{54}-8.\overline{54}\\
99x=846\\
x=\dfrac{846}{99}=\dfrac{94}{11}


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4 questions 20 points
Dvinal [7]
1. Cross multiply
35x = 5(11)
35x = 55
Divide both sides by 35
x = 55/35
x = 11/7

2.  (x - 2)/x = 3/8
Cross multiply
3x = 8(x - 2)
3x = 8x - 16
Subtract 8x from both sides
-5x = -16
divide both sides by -5
x = -16/-5
x = 16/5 OR  3 1/5

3.  (a + 1)/(a - 1) = 5/6
cross multiply
6(a + 1) = 5(a - 1)
distribute
6a + 6 = 5a - 5
subtract 5a from both sides
a + 6 = -5
subtract 6 from both sides
a = -11

4.  (1/3)x - 4 = (2/3)x + 6
multiply each term by 3 to clear the fractions
x - 12 = 2x + 18
subtract x from both sides
-12 = x + 18
subtract 18 from both sides
-30 = x


3 0
4 years ago
-3 + (-5) would it be negative seven
alina1380 [7]
You do add the two negatives and get a negative answer but -3 + -5 = -8
6 0
3 years ago
Read 2 more answers
Mr Langley sold all but 10 of his old computers for R500 each . He received R32 500 from the sale .How many computers did he ori
velikii [3]

Answer:

75 computers

Step-by-step explanation:

R 32500 / R 500= 65 sold

65 +10= 75 computers originally

5 0
3 years ago
A math class has three girls and 7 boys in the 7th grade and five girls and five boys in the 8th grade the teacher randomly sele
Anuta_ua [19.1K]

Answer:

7/20

Step-by-step explanation:

Seventh grade: Total = 3 + 7 = 10

Number of boys = 7 boys

Probability of a boy being picked = 7/10

Eighth grade: Total 5 + 5 = 10

Number of boys = 5

Probability 5/10 = 1/2

The probability of the correct outcome = 7/10  *  1/2  = 7 / 20

Answer: 7 / 20

7 0
3 years ago
Select the correct answer.
Leno4ka [110]

Answer:it’s C

Step-by-step explanation:

6 0
3 years ago
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