2/1/3 or 7/3 you would just keep, change, flip s make it were its 5/3 times 7/5 then multiply and simplify. hope this helped
<em>multiply both sides by 5 </em> 3(15k+10)=5(12k-9)
<em>get rid of the brackets</em> 45k+30=60k-45
<em>take away 45k to both sides</em> 30=15k-45
<em>plus 45 to both sides</em> 75=15k
<em>divide both by 15</em> k=5
Answer:
-7
Step-by-step explanation:
y−x=9 ⇒ y=x+9
10+2x=−2y
5+x= -y ====== replacing y with x+9
5+x= -x-9
2x= -14
x= -7
There are a couple of ways to think about this.
1) Weight the speed by the time and compute the weighted average.
(60*2.5 + 75*1.5)/(2.5 + 1.5) = 65.625
Her average rate of speed is 65.625 mph.
2) Consider distance and time.
distance = speed * time
distance₁ = speed₁ * time₁
distance₂ = speed₂ * time₂
total distance = distance₁ + distance₂
total time = time₁ + time₂
And the average speed is given by
average speed = (total distance)/(total time)
Using the above formulas, we have
distance₁ = 60 mi/h * 2.5 h = 150 mi
distance₂ = 75 mi/h * 1.5 h = 112.5 mi
total distance = 150 mi + 112.5 mi = 262.5 mi
total time = 2.5 h + 1.5 h = 4.0 h
average speed = (262.5 mi) / (4.0 h) = 65.625 mi/h
Bette's average rate of speed is 65.625 mph.
Answer:
B
Step-by-step explanation:
-4x+2x>-4 is simplified to x>0. B graph correctly shows this.
