Answer:
whats the question
Step-by-step explanation:
Answer:
x represents the trip distance.
x = 300 miles
Rate of bus = 50 mph
Rate of train = 75 mph
Step-by-step explanation:
Let the trip distance be x miles.
![\because \: speed = \frac{distance}{time} \\ time \: taken \: by \: bus \: to \: complete \: \\ the \: trip \: = 6 \: hours \\ \therefore \: speed \: of \: bus = \frac{x}{6} \: mph \\ \\ time \: taken \: by \: train \: to \: complete \: \\ the \: same \: trip \: = 4 \: hours \\ \therefore \: speed \: of \: train = \frac{x}{4} \: mph \\ \\ \because \: \: speed \: of \: train \\ =speed \: of \: bus \: + 25 \: mph \\ \therefore \: \frac{x}{4} = \frac{x}{6} + 25 \\ \\ \therefore \: \frac{x}{4} - \frac{x}{6} = 25 \\ \\ \therefore \: \frac{6x - 4x}{4 \times 6} = 25 \\ \\ \therefore \: \frac{2x}{24} = 25 \\ \\\therefore \: \frac{x}{12} = 25 \\ \\ \implies \: x = 25 \times 12 \\ \implies \: x =300 \: miles \\ \\ rate \: of \: bus = \frac{x}{6} = \frac{300}{6} = 50 \: mph\\ \\ rate \: of \: train = \frac{x}{4} = \frac{300}{4} = 75 \: mph](https://tex.z-dn.net/?f=%20%5Cbecause%20%5C%3A%20speed%20%3D%20%20%5Cfrac%7Bdistance%7D%7Btime%7D%20%20%5C%5C%20time%20%5C%3A%20taken%20%5C%3A%20by%20%5C%3A%20bus%20%5C%3A%20to%20%5C%3A%20complete%20%5C%3A%20%20%5C%5C%20the%20%5C%3A%20%20trip%20%5C%3A%20%20%3D%206%20%5C%3A%20hours%20%5C%5C%20%20%5Ctherefore%20%5C%3A%20speed%20%5C%3A%20of%20%5C%3A%20bus%20%3D%20%20%5Cfrac%7Bx%7D%7B6%7D%20%5C%3A%20%20mph%20%5C%5C%20%20%5C%5C%20time%20%5C%3A%20taken%20%5C%3A%20by%20%5C%3A%20train%20%5C%3A%20to%20%5C%3A%20complete%20%5C%3A%20%20%5C%5C%20the%20%5C%3A%20same%20%5C%3A%20%20trip%20%5C%3A%20%20%3D%204%20%5C%3A%20hours%20%5C%5C%20%20%5Ctherefore%20%5C%3A%20speed%20%5C%3A%20of%20%5C%3A%20train%20%3D%20%20%5Cfrac%7Bx%7D%7B4%7D%20%5C%3A%20%20mph%20%5C%5C%20%20%5C%5C%20%20%5Cbecause%20%5C%3A%20%5C%3A%20speed%20%5C%3A%20of%20%5C%3A%20train%20%20%5C%5C%20%3Dspeed%20%5C%3A%20of%20%5C%3A%20bus%20%5C%3A%20%20%2B%2025%20%5C%3A%20mph%20%5C%5C%20%20%20%5Ctherefore%20%5C%3A%20%20%5Cfrac%7Bx%7D%7B4%7D%20%20%3D%20%20%5Cfrac%7Bx%7D%7B6%7D%20%20%2B%2025%20%5C%5C%20%20%5C%5C%20%20%5Ctherefore%20%5C%3A%20%20%5Cfrac%7Bx%7D%7B4%7D%20%20-%20%20%5Cfrac%7Bx%7D%7B6%7D%20%20%3D%2025%20%5C%5C%20%20%20%5C%5C%20%5Ctherefore%20%5C%3A%20%20%5Cfrac%7B6x%20-%204x%7D%7B4%20%5Ctimes%206%7D%20%20%3D%2025%20%5C%5C%20%20%5C%5C%20%5Ctherefore%20%5C%3A%20%20%5Cfrac%7B2x%7D%7B24%7D%20%20%3D%2025%20%5C%5C%20%20%5C%5C%5Ctherefore%20%5C%3A%20%20%5Cfrac%7Bx%7D%7B12%7D%20%20%3D%2025%20%5C%5C%20%20%5C%5C%20%5Cimplies%20%5C%3A%20x%20%3D%2025%20%5Ctimes%2012%20%5C%5C%20%5Cimplies%20%5C%3A%20x%20%3D300%20%5C%3A%20miles%20%5C%5C%20%20%5C%5C%20rate%20%5C%3A%20of%20%5C%3A%20bus%20%20%3D%20%20%5Cfrac%7Bx%7D%7B6%7D%20%3D%20%20%5Cfrac%7B300%7D%7B6%7D%20%20%3D%2050%20%5C%3A%20mph%5C%5C%20%20%5C%5C%20rate%20%5C%3A%20of%20%5C%3A%20train%20%20%3D%20%20%5Cfrac%7Bx%7D%7B4%7D%20%3D%20%20%5Cfrac%7B300%7D%7B4%7D%20%20%3D%2075%20%5C%3A%20mph)
Answer:
1st box in justification is going to be subtraction property.
2nd box is multiplication property.
1 box in steps is going to be (2/3y)=-6
2nd box in steps (2/3y)*(3/2)=-6(3/2)
3rd box in steps y=-9
Step-by-step explanation:
you're basically trying to solve for y. trying to get it by it self.
if you want me to explain it further down, you can tell me.
and I hope that helped
Answer:
b = 18.56
c = 12.75
A = 40°
Step-by-step explanation:
Law of sines: a/sinA = b/sinB= c/sinC
12 / sin (180°-97°-43°) = b/sin97° = c/sin43°
12/sin40° = 12/0.64 = 18.75
b = 18.75 x sin97° = 18.75 x 0.99 = 18.56
c = 18.75 x sin 43° = 18.75 x 0.68 = 12.75
check: 12/sin40° = 12/0.64 = 18.75
b: 18.56 sin97°=0.99 18.56/0.99 = 18.747 ≈ 18.75
c: 12.75 sin43° = 0.68 12.75/0.68 = 18.75
Answer:
x=12
x=6
Step-by-step explanation:
15-(3)=12
9-(3)=6