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:
1.6 hours
Step-by-step explanation:
Number of opening hours a day = 8
Number of groups = 5
Dividing the number of opening. Hours equally among the 5 groups :
8 hours / 5
= 1.6 hours per group per day
Y = 1/3x + b
Plug in the point
3 = 1/3(2) + b
3 = 2/3 + b, b = 7/3
Solution: y = 1/3x + 7/3
Answer:
i wanna say 3
Step-by-step explanation:
i believe its 3 because if you add that 1/2 to the 3/4 you could have a 3 and 3 divided by 9 is 3 (forgive me if incorrect)
In the exercise Maxwell children want to calculate the estimated amount or budget placed on one person coming to the anniversary party for their parents.
The number if guest will be 50 guests
Given data
quoted price = $96 per person
Let the total bill be x
<em>one-fourth of the total bill = 1/4*x</em>
advance payment is $1200 = 1/4x------------1
Let us find the total bill which is x
$1200 = 1/4x
<em>cross multiply</em>
1200*4 = x
x = 4800
if the budget per person is $96
Hence the total expected guest will be = 4800/96
50 guests
Learn more about algebra here :
brainly.com/question/6143254
