Answer:
12 miles
Step-by-step explanation:
Alyssa takes part in the triathlon. She cycles 4/5 of the route, runs 1/8 of the route, and swims the rest of the way. She swims 0.9 miles. Find the total distance of the triathlon route.
Total distance Alyssa cycled and ran =
=
Distance she swam = 1 - 37/40 = 3/40
3/40 of the distance is 0.9
the total distance = 40/3 x 0.9 = 12 miles
Answer:
d. The cost of natural gas (y) = $0.83 per unit
Step-by-step explanation:
The explanation is shown below:-
the equation of system is:
750x + 17y = 141.61 (i)
300x + 30y =75.90 (ii)
as x indicates the cost of electricity and y indicates the costs of natural gas.
we will solve the both equation with the help of multiplication for (i) by 30 and for (ii) 75
after solve the above equation we will get
22,500x + 510y = 4248.3 (iii)
after solve the above equation we will get
22500x + 2250y = 5692.5 (iv)
After deducting the equation (iii) and (iv) we will get
1740 y = 1444.2
After Dividing by 15 both sides,
116y = 96.28
So, Katrina simplify the above system using linear equation and reach at the equation that is
116 y = 96.28
By Division property of equality defines that divide the equal no. of both sides of an equation:
by Division of 116 to both sides of an equation, to get y:
y = 0.83
So, the natural gas is $0.83 per unit