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VLD [36.1K]
3 years ago
8

Type the correct answer in each box. If necessary, use / for the fraction bar(s).

Mathematics
1 answer:
Tom [10]3 years ago
6 0

Given:

The values are a=0.\overline{6},b=0.75.

To find:

The values of ab and \dfrac{a}{b}.

Solution:

We have,

a=0.\overline{6}

a=0.666...                     ...(i)

Multiply both sides by 10.

10a=6.666...                 ...(ii)

Subtracting (i) from (ii), we get

10a-a=6.666...-0.666...

9a=6

a=\dfrac{6}{9}

a=\dfrac{2}{3}

And,

b=0.75

b=\dfrac{75}{100}

b=\dfrac{3}{4}

Now, the product of a and b is:

ab=\dfrac{2}{3}\times \dfrac{3}{4}

ab=\dfrac{1}{2}

The quotient of a and b is:

\dfrac{a}{b}=\dfrac{\dfrac{2}{3}}{\dfrac{3}{4}}

\dfrac{a}{b}=\dfrac{2}{3}\times \dfrac{4}{3}

\dfrac{a}{b}=\dfrac{8}{9}

Therefore, the required values are ab=\dfrac{1}{2} and \dfrac{a}{b}=\dfrac{8}{9}.

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(by far the most painful question all day) 226 mins = 3.77 hours 4 3/5 hours = 4.6 hours 4.6- 3.77 = 0.83 hours 0.83 hours = 49.8 mins = 2988 seconds.
7 0
3 years ago
1. Tanner collected 360 cans and bottles while fundraising for his baseball team. This was 40% of what Reggie collected. How man
Inessa05 [86]
1. 360*0.40=144
so they said 40% reggie collected main mor than 40% collected so you need to do add like 360+144=504
the answer 504

2. you need to do new to old
the new is 15 old is 799
799-15=784x100
the high number is 799
so you need to do 799 divided by 100=7.99
now 784 divided by 7.99=98.12
the answer is 98.12

3 0
3 years ago
The polynomial function g(x) = 2x4 - 9x3 - 12x2 + 29x + 30 has
Nataliya [291]

Answer:

the answer is

Step-by-step explanation:

the answer is

the answer is

the answer is

c

6 0
3 years ago
Factor out the coefficient of the variable 1/2d+6
Dahasolnce [82]
1/2d+6=1/2(d+12)
Leaving us with 0.5 or 1/2
4 0
3 years ago
A basketball player scored 26 points in one game. In basketball, some baskets are worth 3 points, some are worth 2 points, and f
Vsevolod [243]

Answer:

3 points = 2

2 points = 6

1 point = 8

Step-by-step explanation:

Given that:

Total point scored = 26

Let number of 3 point basket = x

Number of 2 point basket = x + 4

Number of free throws = x + x + 4 = 2x + 4

Hence,

Total 3 points = 3x

Total 2 points 2(x + 4)

Total free throw points = 2x + 4

3x + 2(x + 4) + 2x + 4 = 26

3x + 2x + 8 + 2x + 4 = 26

7x + 12 = 26

7x = 26 - 12

7x = 14

x = 2

Number of 3 points = x = 2

2 points = (x+4) = 2+4 = 6

1 point = (2x+ 4) = 2(2) + 4 = 8

5 0
3 years ago
Read 2 more answers
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