Answer: 5 km walking and 30 km by bus
Step-by-step explanation:
Yochanan walked from home to the bus stop at an average speed of 5 km / h. He immediately got on his school bus and traveled at an average speed of 60 km / h until he got to school. The total distance from his home to school is 35 km, and the entire trip took 1.5 hours. How many km did Yochanan cover by walking and how many did he cover by travelling on the bus?
walking - 5km/h bus - 60km/h
distance walking - d₁ distance bus - d₂
time walking - t₁ time bus - t₂
d₁ + d₂ = 35
t₁ + t₂ = 1.5
v = d/t
vwalking = d₁/t₁
5 = d₁/t₁ ⇒ d₁ = 5t₁
vbus = d₂/t₂
60 = d₂/t₂ ⇒ d₂ = 60t₂
d₁ + d₂ = 35 ⇒ 5t₁ + 60t₂ = 35
_________________________
5t₁ + 60t₂ = 35
t₁ + t₂ = 1.5 (*-5)
5t₁ + 60t₂ = 35
-5t₁ -5t₂ = -7.5 (+)
__________________________
55t₂ = 27.5
t₂ = 27.5/55 = 0.5 h
t₁ + t₂ = 1.5 ⇒ t₁ = 1.5 - 0.5 = 1h
d₁ = 5t₁ ⇒ d₁ = 5.1 = 5 km
d₂ = 60t₂ ⇒ d₂ = 30.0.5 = 30 km
Answer:
c²=√181=13.45, or 13.5
Step-by-step explanation:
The pythagorean theorem is a²+b²=c²
Given this, we will plug in our numbers like this: 9²+10²=c²
9²+10²=181, but we have to find the square root of that.
c²=√181=13.45, or 13.5
I hope this helps!! :)
Answer: 18 = 36.
Step-by-step explanation: (18x1) + 18 = 36
Answer:
-8=x
Step-by-step explanation:
6x-6=9x+18
-6-18=9x-6x
-24=3x
x=-8
hope i helped
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im trying to level up
Answer:
7
Step-by-step explanation:
The range is the difference between the largest and smallest values in the data set, thus
range = 9 - 2 = 7