Answer:
13, 18, 72
Step-by-step explanation:
let x-5 represent the first number, since the first number is 5 less than the third number. let x represent the third number. let 4x represent the third number, since it's four times greater than the third number.
set up an equation, and make it equal to 103:
x-5+x+4x=103
solve:
6x-5=103
6x=108
x=18
so, the third number is 18.
the first number is equal to x-5, so:
18-5=13
the second number is equal to 4x, so:
4(18)=72
so, the three numbers are 13, 18, and 72.
Answer:
System of equations:
20x + 30y = 650
x + y = 25
Time underwater = 10 hours
Time at the surface = 15 hours
Step-by-step explanation:
Let x = time underwater at 20 km/h.
Let y = time on the surface at 30 km/h.
speed = distance/time
distance = speed * time
distance underwater: 20x
distance on the surface: 30y
total distance: 650
20x + 30y = 650
total time: x + y
total time: 25
x + y = 25
20x + 30y = 650
x + y = 25
20x + 30y = 650
-20x - 20y = -500
--------------------------------
10y = 150
y = 15
x + y = 25
x + 15 = 25
x = 10
Answer:
Hope that help the answer is 300
Step-by-step explanation he drives for 3 hours at a rate of 80 km per hour, multiply:
Now we need to find how far he goes in 45 minutes. There are 60 minutes in an hour, so write and simplify:
45 is three quarters of an hour, so multiply that by 80 km per hour:
Add the distances together:
At a rate of 80 km per hours, in 3 hours and 45 minutes, Tim drives 300 km.
Finito.
R
Answer:
see explanation
Step-by-step explanation:
The largest angle is opposite the largest side and the smallest angle is opposite the shortest side.
Δ FUN
largest angle is ∠ FUN ( opposite FN )
smallest angle is ∠ NFU ( opposite NU )
Δ GEO
largest angle is ∠ GEO ( opposite GO )
smallest angle is ∠ GOE ( opposite GE )
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The longest side is opposite the largest angle and the shortest side is opposite the smallest angle.
∠ RTY = 180° - (70 + 55)° = 180° - 125° = 55°
Δ TRY is therefore isosceles with 2 congruent legs RT, RY
longest side is TY ( opposite 70° )
shortest sides are RT , RY ( opposite 55° )
Answer:
After 15 years the use of said machine is no longer profitable
Step-by-step explanation:
it should be used, as long as the money generated is not smaller as the costs generated. By setting both formulas equal (calculating the x value for when they are equal) you get x = 15 and x = -2.5(which doesnt make sense in this context).
