Answer:
x = 1
Step-by-step explanation:
2(76x - 1) = 150
76x - 1 = 75
76x = 76
x = 1
C. 3:4 = 9:12 because you can simplify 9/12 to 3/4
Answer:
? im confused
Step-by-step explanation:
Answer:
![\rm Numbers = 4 \ and \ -3.](https://tex.z-dn.net/?f=%20%5Crm%20Numbers%20%3D%204%20%5C%20and%20%5C%20-3.)
Step-by-step explanation:
Given :-
The sum of two numbers is 1 .
The product of the nos . is 12 .
And we need to find out the numbers. So let us take ,
First number be x
Second number be 1-x .
According to first condition :-
![\rm\implies 1st \ number * 2nd \ number= -12\\\\\rm\implies x(1-x)=-12\\\\\rm\implies x - x^2=-12\\\\\rm\implies x^2-x-12=0\\\\\rm\implies x^2-4x+3x-12=0\\\\\rm\implies x(x-4)+3(x-4)=0\\\\\rm\implies (x-4)(x+3)=0\\\\\rm\implies\boxed{\red{\rm x = 4 , -3 }}](https://tex.z-dn.net/?f=%5Crm%5Cimplies%201st%20%5C%20number%20%2A%202nd%20%5C%20number%3D%20-12%5C%5C%5C%5C%5Crm%5Cimplies%20x%281-x%29%3D-12%5C%5C%5C%5C%5Crm%5Cimplies%20x%20-%20x%5E2%3D-12%5C%5C%5C%5C%5Crm%5Cimplies%20x%5E2-x-12%3D0%5C%5C%5C%5C%5Crm%5Cimplies%20x%5E2-4x%2B3x-12%3D0%5C%5C%5C%5C%5Crm%5Cimplies%20x%28x-4%29%2B3%28x-4%29%3D0%5C%5C%5C%5C%5Crm%5Cimplies%20%28x-4%29%28x%2B3%29%3D0%5C%5C%5C%5C%5Crm%5Cimplies%5Cboxed%7B%5Cred%7B%5Crm%20x%20%3D%204%20%2C%20-3%20%7D%7D)
Hence the numbers are 4 and -3
Answer:
S = v1 t1 = 7 t1 traveling downstream
S = v2 t2 = 5 t2 traveling upstream
7 t1 = 5 t2
7 (6 - t2) = 5 t2 since t1 + t2 = 6
42 - 7 t2 = 5 t2
t2 = 42 / 12 = 3.5 hrs so t1 = 2.5 hrs
S = 7 t1 = 7 * 2.5 = 17.5 mi
Also, S = 5 t2 = 5 * 3.5 = 17.5 mi