Answer:
The two numbers are .8*160=128 and .85*240=204
Step-by-step explanation:
First sentence: x+y=400
Second sentence .8x+.85y=400-68
Solve y in the first sentence: y=400-x
Plug first into second: .8x+.85(400-x)=332
Distribute: .8x+.85(400)-.85x=332
Combine like terms: -.05x+.85(400)=332
Simplify(multiply): -.05x+ 340=332
Subtract 340 on both sides: -.05x =332-340
Simplify(subtract): -.05x =-8
Divide both sides by -.05: x =-8/-.05
Simplify (division): x = 160
So y=400-x=400-160=240
Answer:
25 seconds
Step-by-step explanation:
Skydiving.
height (in feet) above the earth=h(t)= -16t^2 + 10,000
the time it would take to fall when h is 0
-16t^2 + 10,000=0
-16t^2=-10000
16t^2=10000
t^2=10000/16=625
t=sqrt 625=25 seconds
Answer:
65
Step-by-step explanation:
The sum of the angles in a triangle is 180. In a right triangle, there is one 90 degree angle. If the second angle is 25, and 90+25+the last angle must add up to 180, simple math can find the value of the last angle.
180-90-25=65
Answer:
545.119
Step-by-step explanation:
75 * (1 + .2/12)^10 * 12
75 * (1.016667)^10*12
Now things get a little tricky. What does 10*12 mean? I'm taking it to mean 120
75 * (1.016667)^120
75 * 7.268
545.119
Answer:
one solution with a y value of 5
Step-by-step explanation:
/| x+y-4 = 0| x-y-6 = 0
We try to solve the equation: x+y-4 = 0
x+y-4 = 0 // - x-4
y = -(x-4)
y = 4-x
We insert the solution into one of the initial equations of our system of equations
We get a system of equations:
/| x+x-6-4 = 0| y = 4-x
2*x-10 = 0 // + 10
2*x = 10 // : 2
x = 10/2
x = 5
We insert the solution into one of the initial equations of our system of equations
For y = 4-x:
y = 4-5
y = -1
We get a system of equations:
/| y = -1| x = 5
