Answer:
x = 21
Step-by-step explanation:
<u>Step 1: Make an expression</u>
Since they are supplements, that means that they add up to 180 degrees.
3x + 6 + 5x + 6 = 180
<u>Step 2: Combine like terms</u>
3x + 6 + 5x + 6 = 180
(3x + 5x) + (6 + 6) = 180
8x + 12 = 180
<u>Step 3: Subtract 12 from both sides</u>
8x + 12 - 12 = 180 - 12
8x = 168
<u>Step 4: Divide both sides by 8</u>
8x / 8 = 168 / 8
x = 21
Answer: x = 21
So if you wanted the factored form (exg. 1*2*3*4=24)
then this is (5 times 5 times 7)
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