Answer:
The speed on motorboat is 20 mph
Step-by-step explanation:
here, we want to find the speed on the motorboat
if he has a speed of x mph on the motor boat, his speed on the ski will be (x + 10) mph
The total hours is 4 hours
Mathematically; speed = distance/time
Time on ski is 27/x+ 10
Time on motor boat is 62/x
The addition of both is 4
Thus;
27/(x + 10) + 62/x = 4
27(x) + 62(x + 10) = 4(x)(x + 10)
27x + 62x + 620 = 4(x^2 + 10x)
89x + 620 = 4x^2 + 40x
4x^2 -49x-620 = 0
using the quadratic formula;
{-b ± √(b^2-4ac)}/2a
where a = 4, b = -49 and c = -620
= 49 ± √(-49)^2-4(4)(-620)/8
So we have
49+ 111/8 or 49-111/8
Speed cannot be negative
(49 + 111)/8
= 20 mph
Answer: the x-intercept of the fuction is 13 which represents the number of hours unit
All the snow has melted
Step-by-step explanation:
Water bill of Simons in the month of August = $48
Percentage of bill that was lower in the month of September = 15%
then
Amount of bill that was lower in the month of September = (15/100) * 48
= 720/100 dollars
= 7.2 dollars
So
The bill for the month of September = (48 - 7.2) dollars
= 40.8 dollars
So Simon will have to pay $40.8 as the water bill for the month of September. I hope the procedure is clear enough for you to understand.
Answer:
B
Step-by-step explanation:
1/6x+ 4/6x = -4/6
5/6x= -4/6
x=( -4/6)/ (-5/6)
x= 4/5
Answer:
Therefore, Company B is offering the lowest price/lb at $12.73/lb.
So, Company A's price / lb = ($32.50/2.5lbs) = $13.00/lb
Step-by-step explanation:
To determine price per lb, divide dollar amount by lbs.
- Company A sells 2 1/2lbs (2.5lbs) for $32.50
- Company B sells 2 3/4lbs (2.75lbs) for $35.00
And, Company B's price / lb = ($35.00/2.75lbs) = $12.73/lb
