Solve:
"<span>twice the number minus three times the reciprocal of the number is equal to 1."
3(1)
Let the number be n. Then 2n - ------- = 1
n
Mult all 3 terms by n to elim. the fractions:
2n^2 - 3 = n. Rearranging this, we get 2n^2 - n - 3 = 0.
We need to find the roots (zeros or solutions) of this quadratic equation.
Here a=2, b= -1 and c= -3. Let's find the discriminant b^2-4ac first:
disc. = (-1)^2 - 4(2)(-3) = 1 + 24 = 25.
That's good, because 25 is a perfect square.
-(-1) plus or minus 5 1 plus or minus 5
Then x = ------------------------------ = --------------------------
2(2) 4
x could be 6/4 = 3/2, or -5/4.
You must check both answers in the original equation. If the equation is true for one or the other or for both, then you have found one or more solutions.</span>
Answer:
Quite simply. The answer is X=6
Since you have a full fraction, you can find a common denominator in both fractions and multiply. (The common denominator would be 8, so you would multiply 4 by 2 to get 8. Do the same thing to the top, do multiply 3 by 2 to get 6). Now the fraction is 6/8, and since it's equal to incomplete fraction, you know X is 6.
Answer:
4y - 12
Step-by-step explanation:
I hope this helps
Answer:
1/4
Step-by-step explanation:
Five bottles of sunscreen were shared equally among 20 campers. What fraction of a bottle for each camper use?
This question above is calculated as:
Number of bottles of sunscreen/Number of campers
= 5/20
= 1/4
Hence, fraction of a bottle for each camper use is 1/4
The interest paid is Rs 10000
The rate of interest is 20%
Step-by-step explanation:
Step 1 :
Amount borrowed by Mr. Satyal = Rs 50000
Amount repaid = Rs 60000
Interest is charged on the principal amount and the amount repaid will be the sum of the interest paid plus the principal amount
Hence the interest paid is 60000 - 50000 = Rs 10000
Step 2:
The rate of interest is calculated as follows :
Divide the interest calculated by the principal amount and is expressed as percentage.
Hence the interest rate =
× 100 = 20%
Step 3 :
The interest paid is Rs 10000
The interest rate is 20%