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2 years ago

What are the steps to doing 9 1/6+6 1/4+ 4 5/6

1 answer:

8 0

Conversion: 9 1/6 = 9 · 6 + 1
6
= 55
6
Conversion: 6 1/4 = 6 · 4 + 1
4
= 25
4
Add: 55
6
+ 25
4
= 55 · 2
6 · 2
+ 25 · 3
4 · 3
= 110
12
+ 75
12
= 110 + 75
12
= 185
12

The common denominator you can calculate as the least common multiple of the both denominators - LCM(6, 4) = 12
Conversion: 4 5/6 = 4 · 6 + 5
6
= 29
6
Add: 185
12
+ 29
6
= 185
12
+ 29 · 2
6 · 2
= 185
12
+ 58
12
= 185 + 58
12
= 243
12
= 81
4

The common denominator you can calculate as the least common multiple of the both denominators - LCM(12, 6) = 12

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For what value of x do the expressions 2x+3 and 3x+-6 have the same value?

Black_prince [1.1K]

The answer is 2 because it’s -6/3 =2

3 0

3 years ago

Read 2 more answers

Why is it that -log(x+8)=4-log(x-7) has no solution? (they are log base 2)

Lerok [7]

$-log(x+8)=4-log(x-7)$

$-\log _{10}\left(x+8\right)+\log _{10}\left(x+8\right)=4-\log _{10}\left(x-7\right)+\log _{10}\left(x+8\right)$

$0=4-\log _{10}\left(x-7\right)+\log _{10}\left(x+8\right)$

$0+\log _{10}\left(x-7\right)=4-\log _{10}\left(x-7\right)+\log _{10}\left(x+8\right)+\log _{10}\left(x-7\right)$

$\log _{10}\left(x-7\right)=\log _{10}\left(x+8\right)+4$

$\log _{10}\left(x-7\right)=\log _{10}\left(x+8\right)+\log _{10}\left(10000\right)$

$x-7=\left(x+8\right)\cdot \:10000$

$\mathrm{Solve\:}\:x-7=\left(x+8\right)10000:\quad x=-\dfrac{26669}{3333}$

$\mathrm{Verifying\:Solutions}:\quad x=-\dfrac{26669}{3333}\space\mathrm{False}$

$\mathrm{No\:Solution\:for\:x\in \mathbb{R}}$

3 0

2 years ago

Read 2 more answers

11. Which is a solution of<br> b +7 >-2<br> A. b <-9<br> B. b> -9 C. b>-9

kap26 [50]

Answer:

C. b>-9

Step-by-step explanation:

subtract 7 from both sides.

8 0

2 years ago

John read 1/3 of his book on the first day and 1/4 of the book on the second day. What fraction of the book does John have left

eduard

Answer:

5/12

Step-by-step explanation:

The whole book is 1.

So This will be your equation.

1/3 + 1/4 = 1

4/12 +3/12 = 1

7/12 = 1

Now you minus 7/12 from 1

1-7/12 is how much is left

12/12-7/12= 5/12

8 0

3 years ago

Read 2 more answers

Please answer this correctly please

Phantasy [73]

If we have 2 more blue pens than black pens, our blue pens can be rewritten as blue = 2 + black. Now we can set up an equation. Originally this equation would involve both blue and black, but since we only have 1 equation to set up, we can only have 1 unknown. That's why we base the number of blue pens on the number of black pens and do a substitution. So instead of blue + black = 94, we have (black + 2) + black = 94. That simplifies to 2 black + 2 = 94, and 2 black = 92. Now if we divide by 2, we get that the number of black pens is 46. If we have 2 more blue than black, the number of blue pens we have is 48. 46 + 48 = 94, so there you go!

7 0

3 years ago