It would be 10 hours. 25 times 2 is equal to 50 and so you would times 5 by 2 and get 10 hours
Answer:
x > 34
Step-by-step explanation:
x-7>27
Add 7 to each side
x-7+7 > 27+7
x > 34
A, b, c - the lengths of the sides of the triangle
and a ≤ b ≤ c
then:
a + b > c and if the triangle is an acute triangle then a² + b² > c².
![1^o\\5\leq10\leq x\\\\\left\{\begin{array}{ccc}5+10 \ \textgreater \ x\\5^2+10^2 \ \textgreater \ x^2\end{array}\right\to\left\{\begin{array}{ccc}x \ \textless \ 15\\ x^2 \ \textless \ 125\end{array}\right\to\left\{\begin{array}{ccc}x \ \textless \ 15\\ x \ \textless \ \sqrt{125}\approx11.1\end{array}\right\\\\\boxed{x=11}\\\\2^o\\5\leq x\leq10\\\\\left\{\begin{array}{ccc}5+x \ \textgreater \ 10\\ 5^2+x^2 \ \textgreater \ 10^2\end{array}\right\to\left\{\begin{array}{ccc}x \ \textgreater \ 5\\ x^2 \ \textgreater \ 75\end{array}\right\to\left\{\begin{array}{ccc}x \ \textgreater \ 5\\ x \ \textgreater \ \sqrt{75}\approx8.7\end{array}\right\\\boxed{x=9}](https://tex.z-dn.net/?f=1%5Eo%5C%5C5%5Cleq10%5Cleq%20x%5C%5C%5C%5C%5Cleft%5C%7B%5Cbegin%7Barray%7D%7Bccc%7D5%2B10%20%5C%20%5Ctextgreater%20%5C%20%20x%5C%5C5%5E2%2B10%5E2%20%5C%20%5Ctextgreater%20%5C%20%20x%5E2%5Cend%7Barray%7D%5Cright%5Cto%5Cleft%5C%7B%5Cbegin%7Barray%7D%7Bccc%7Dx%20%5C%20%5Ctextless%20%5C%20%2015%5C%5C%20x%5E2%20%5C%20%5Ctextless%20%5C%20%20125%5Cend%7Barray%7D%5Cright%5Cto%5Cleft%5C%7B%5Cbegin%7Barray%7D%7Bccc%7Dx%20%5C%20%5Ctextless%20%5C%20%2015%5C%5C%20x%20%5C%20%5Ctextless%20%5C%20%20%5Csqrt%7B125%7D%5Capprox11.1%5Cend%7Barray%7D%5Cright%5C%5C%5C%5C%5Cboxed%7Bx%3D11%7D%5C%5C%5C%5C2%5Eo%5C%5C5%5Cleq%20x%5Cleq10%5C%5C%5C%5C%5Cleft%5C%7B%5Cbegin%7Barray%7D%7Bccc%7D5%2Bx%20%5C%20%5Ctextgreater%20%5C%20%2010%5C%5C%205%5E2%2Bx%5E2%20%5C%20%5Ctextgreater%20%5C%20%2010%5E2%5Cend%7Barray%7D%5Cright%5Cto%5Cleft%5C%7B%5Cbegin%7Barray%7D%7Bccc%7Dx%20%5C%20%5Ctextgreater%20%5C%20%205%5C%5C%20x%5E2%20%5C%20%5Ctextgreater%20%5C%20%2075%5Cend%7Barray%7D%5Cright%5Cto%5Cleft%5C%7B%5Cbegin%7Barray%7D%7Bccc%7Dx%20%5C%20%5Ctextgreater%20%5C%20%205%5C%5C%20x%20%5C%20%5Ctextgreater%20%5C%20%20%5Csqrt%7B75%7D%5Capprox8.7%5Cend%7Barray%7D%5Cright%5C%5C%5Cboxed%7Bx%3D9%7D)
Set up the equation by writing the number of students in the ratio as a fraction:
3/4= (245-x)/x Cross multiply:
3x= 4(245-x) Multiply on right:
3x= 980-4x Add 4x on both sides:
7x= 980 Divide both sides by 7:
x= 140 this is how many girls there are. And:
245-140= 105= boys
Answer:
It’s 60miles
Step-by-step explanation:
We assume the trip is "d" miles and that the "extra hour" refers to the additional time that a current of 2 mph would add. That is, we assume the reference time is for a current of 0 mph.
The time with no current is ...
time1 = distance/speed
time1 = d/12 . . . . hours
With a current of 2 mph in the opposite direction, the time is ...
time2 = d/(12 -2) = d/10
The second time is 1 hour longer than the first, so we have ...
time2 = 1 + time1
d/10 = 1 + d/12
6d = 60 + 5d . . . . multiply by 60
d = 60 . . . . . . . . . subtract 5d
The one-way distance is 60 miles.