Let...
l=length
w=width
Because we know that the perimeter is 90, we can make this equation...
2l+2w=90
Because we know that the length is 5 feet less than 4 times the width, we can make this equation...
l=4w-5
We can solve this system through substitution...
2(4w-5)+2w=90
8w-10+2w=90
10w=100
w=10 ft
l=4(10)-5=35 ft
Answer:
96 ounces of lime
Step-by-step explanation:
12 ounces of lime to 10 ounces of water
80 ounces of water means the amount of water increased 8 times
so you have to increase the amount of lime 8 times as well
12 ×8 =96
Based on gas laws:
PV/T = Constant, P = Pressure, V = volume, T = Temperature (K)
Therefore,
P1V1/T1 = P2V2/T2
P1 = 10 psig
V1 = 10 in^3
T1 = 65°F = 291.483 K
P2 = ?
V2 = 1.5 in^3
T2 = 180°F = 355.372 K
Rearranging the equation,
P2 = P1V1T2/T1V2 = (10*10*355.372)/(291.483*1.5) = 81.279 psig
The difference of their speeds is 1.3 mph because Andrew was walking 4.5 mph and Jill was walking 3.2mph.
Step-by-step explanation:
1) -7 (divide -28 by 4 to isolate x)
2) -8 (two negatives = a positive, so it's x + 6 = -2, then subtract 6 from both sides)
3) 5 (subtract 4 from both sides, and multiply each side by -1)
4) 2 (subtract 7 from both sides, then divide by -3)
5) -3 (add 11 to both sides then divide by 25)
