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:
7 , 8 , 9
Step-by-step explanation:
Assume three consecutive number are,
x , (x+1) , (x+2)
Multiplied by 2 ,3 and 4 respectively
2x , 3(x + 1) , 4(x + 2)
Sum of all = 74
So,
2x + 3(x + 1) + 4(x + 2) = 74
2x + 3x + 3 + 4x + 8 = 74
9x + 11 = 74
9x = 63
x = 7
So,
x , (x+1) , (x+2)
7 , (7+1) , (7+2)
7 , 8 , 9
Answer:
He is been paid $7 per hour
Step-by-step explanation:
140dollars/ 20 hours
Answer:
B. 15
Step-by-step explanation:
Prime factors of 15 is 3 and 5
sum of 3 and 5 is 8
<u><em>Answer:</em></u>
Mrs. Hong originally had 900 ml of milk
<u><em>Explanation:</em></u>
The complete question is in the attached image
Assume that the amount of milk Mrs. Hong originally had was x ml
<u>We are given that:</u>
1- She used 
of it to bake the waffles, <u>therefore</u>:
Amount used in baking waffles = 
ml
2- She used 300 ml to bake a pie
3- Amount left is half the original amount, <u>therefore</u>:
Amount left = 
ml
<u>We know that:</u>
Total amount = amount used in waffles + amount used in pie + amount left
<u>Substitute with the givens and solve for x:</u>
Total amount = amount used in waffles + amount used in pie + amount left
<u>This means that:</u>
She originally had 900 ml of milk
Hope this helps :)
