Answer:
6.11km/hr
Step-by-step explanation:
Let the speed that Kelli swims be represented by Y
Speed of the river = 5km/hr
Distance = Speed × Time
Kelli swam upstream for some distance in one hour
Swimming upstream takes a negative sign, hence:
1 hour ×( Y - 5) = Distance
Distance = Y - 5
She then swam downstream the same river for the same distance in only 6 minutes
Downstream takes a positive sign
Converting 6 minutes to hour =
60 minutes = 1 hour
6 minutes =
Cross Multiply
6/60 = 1/10 hour
Hence, Distance =
1/10 × (Y + 5)
= Y/10 + 1/2
Equating both equations we have:
Y - 5 = Y/10 + 1/2
Collect like terms
Y - Y/10 = 5 + 1/2
9Y/10 = 5 1/2
9Y/ 10 = 11/2
Cross Multiply
9Y × 2 = 10 × 11
18Y = 110
Y = 110/18
Y = 6.1111111111 km/hr
Therefore, Kelli's can swim as fast as 6.11km/hr still in the water.
Answer:
You don't technically need the ( ) around the 2n, but I included them to avoid confusion.
To find the number of girls signed up for camp, we just subtract the number of boys from to total number of children. There are 132 boys and 219 children, which gives us
219 - 132 = 87 girls. To find how many boys there are than girls, we just find the difference between the 132 boys and 87 girls by subtracting again:
132 - 87 = 45 more girls than boys.
It looks like it goes through (0,-3) and (1,2), so the gradient is (change in y)/(change in x) ->
(-3-2)/(0-1) = 5
So y=5x+b
Then as we know it passes the y axis at (0,-3) so b= -3
So we have y=5x-3
The value of the Nintendo after 35 years is $2455
Since the formula f(x) = 3x² - 40x + 180 predicts the value of the Nintendo x years after 1986.
Since we require the value in 2021, x years after 1986 is 2021 - 1986 = 35 years.
Substituting x = 35 into the equation, we have
f(x) = 3x² - 40x + 180
f(x) = 3(35)² - 40(35) + 180
f(x) = 3(1225) - 40(35) + 180
f(x) = 3675 - 1400 + 180
f(x) = 2275 + 180
f(x) = 2455
So, the value of the Nintendo after 35 years is $2455
Do you think this is a realistic prediction of the value of that Nintendo?
This is not a realistic prediction for the value of the Nintendo, because, it is too high.
Learn more about quadratic equations here:
brainly.com/question/13704125
