You just have to cross multiply. 20 x 285 = 5700. 5700 / 95 = 60.
He will run 60km
We can solve this using substitution.
because x-y=2.5
x=y+2.5
Now substitute x into other equation.
2(y+2.5)^2-2y=125
2y^2+10y+12.5-2y=125
2y^2+8y-112.5=0
Now comes the ugly part
y=-4+-sqrt(16+900)
y=-4+-sqrt916
y=-4+-2sqrt229
x=-1.5+-2sqrt229
Answer:
7/8
Step-by-step explanation:
Sphere A has a radius of 24 centimeters, and sphere B has a diameter of 42 centimeters.
WE need find which factor is multiplied with radius of sphere A to produce the radius of sphere B
Diameter of sphere B is 42
Radius = diameter /2
Radius = 42/2= 21
Radius of sphere B = 21
RAdius of sphere A times x= radius of sphere B
24 * x= 21
Divide by 24 on both sides
x= 21/ 24
divide top and bottom by 3
x= 7/ 8
2 -> 7; but 7 = 2 * 2 + 3;
3 -> 9; but, 9 = 3 *2 + 3;
4 -> 11; but, 11 = 4 * 2 + 3;
5 -> 13; but, 13 = 5 * 2 + 3;
The rule is : ( your number ) * 2 + 3;
The function rule is f( x ) = 2x + 3.