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Answer:
3/28
Step-by-step explanation:
James read an equal number of pages of his book each night for 8 nights to prepare for his upcoming exam.
The total fraction of the book he read in 8 nights = 6/7
Hence,
8 nights = 6/7
1 night = x
Cross Multiply
8x = 6/7 × 1
x = 6/7 ÷ 8
x = 6/7 × 1/8
x = 3/28
Therefore, every night, the fraction of the book he has read is 3/28
4/5 to get a rational number bc it would be 5. hope it helps.
Answer:
20
Step-by-step explanation:
We already have our first value 3.4 and the second value 17. Let's assume the unknown value is Y which answer we will find out.
As we have all the required values we need, Now we can put them in a simple mathematical formula as below:
Step 1 ---> 3.4 = 17% × Y
Step 2 ---> 3.4 = 17/100 × Y
Multiplying both sides by 100 and dividing both sides of the equation by 17 we will arrive at:
Step 3 ---> Y = 3.4 × 100/17
Step 4 ---> Y = 3.4 × 100 ÷ 17
Step 5 ---> Y = 20
Finally, we have found the value of Y which is 20 and that is our answer.
<h3><u>
*You can easily calculate 3.4 is 17 percent of what number by using any regular calculator, simply enter 3.4 × 100 ÷ 17 and you will get your answer which is 20*</u></h3>
Answer:
x = ln(4/3)
Step-by-step explanation:
6e^x-4e^-x=5
We can subtract 5 from each side
6e^x-4e^-x -5 =5-5
6e^x-4e^-x-5=0
Multiply by e^x
e^x(6e^x-4e^-x-5)=0*e^x
Distribute
6e^2x - 4 e^0 -5e^x =0
Let m = e^x
6m^2 - 4 -5m =0
Rearrange
6m^2 -5m-4 =0
Factor
(2m+1) (3m-4)=0
Using the zero product property
2m+1 = 0 and 3m-4 =0
2m=-1 3m=4
m = -1/2 m = 4/3
Replace m with e^x
e^x = -1/2 and e^x = 4/3
But e^x cannot be negative so the first is not a solution
e^x = 4/3
Take the ln of both side
ln (e^x) = ln (4/3)
x = ln(4/3)