51 = 3 * 17, sum of 20, no good.
<span>52 = 2 * 2 * 13, sum of 17, no good. </span>
<span>54 = 2 * 3 * 3 *3, sum of 11. </span>
<span>The answer is 54. If you need more help, let me know.</span>
Answer:
-4/5
Step-by-step explanation:
Let α and β be the roots of the quadratic equation
ax²+bx+c = 0
Sum of roots α + β = -b/a
Product of roots αβ = c/a
Given the equation 16x²+4x+5 = 0
a = 16, b = 4, c = 5
Sum of roots α + β = -4/16 = -1/4
Product of roots αβ = 5/16
To calculate 1/α + 1/β, we will need to find the LCM first'
1/α + 1/β
= (β+α)/αβ
= sum of roots/product of roots
= (-1/4)/(5/16)
= -1/4×16/5
= -4/5
Answer:
The number of ways he can elect the president,the vice President and the secretary is 1320 ways
Step-by-step explanation:
This is a permutation question.
Any of the 12 members can be the President , when this is done, any of the remaining 11 can be the vice president ,when this is done, any of the remaining 10 can be the secretary.
The required number of ways is;
12*11*10= 1320ways
Answer:
12 2/3 km per hour
Step-by-step explanation:
What is Harveys speed?
Take the distance and divide by the time
3 1/6 km
--------------
1/4 hour
Change the mixed number to an improper fraction
3 1/6 = (6*3+1)/6 = 19/6
19/6 km
--------------
1/4 hour
Copy dot flip
19/6 * 4/1 = 76/6 = 38/3 km/hr
3 goes into 38 12 times (12*3 = 36) with 2 left over
12 2/3 km per hour