Answer:
Return trip travel time: 7h
Step-by-step explanation:
Let d be the distance.
Index 1 refers to initial trip, index 2 refers to the return trip.
v1=70mi/h
v2=40mi/h
t2=t1+3h, or t1=t2-3h (travel times)
d=v1×t1=v2×t2
v1×(t2-3)=v2×t2
v1 t2 -3 v1=v2 t2
v1 t2 - v2 t2=3 v1
t2(v1-v2)=3v1
t2=3v1/(v1-v2)
Or
t2=3×70/(70-40)=3×70/30=7h
Answer: 0.6 in 10 % ; 0.4 in 15 %
Step-by-step explanation:
1. (x*10%) + (y*15%)/ x+y=12%
2. x+y = 1 x= 1-y
(0.1x + 0.15y/ x+y= 12/100) * 100
(10x + 15y/x+y = 12)*(x+y)
10x+15y= 12x + 12y
-2x=-3y
2x = 3y 2(1 - y)= 3y
2-2y=3y 2= 5y
y= 0.4
x= 0.6
Answer: Undefined
Step-by-step explanation:
(slope = m)

(3 divided by 0 is undefined, so the slope is undefined)
Answer:
2.10
Step-by-step explanation:
# of large ice creams: 240/3 = 80
# of small ice creams: 240 - 80 = 160
Total large ice cream cost: 80*3.8 = 304
Total small ice cream cost: 640 - 304 = 336
Cost of one small ice cream: 336/160 = 2.1
Step-by-step explanation:
65) Perimeter = 13 + 12 + 5 or 30 cm
Area= 5 x 12 / 2 or 30 cm^2
Perimeter formula: Add all the sides
Area formula ( triangle)= 1/2 bh
66) Perimeter = 8 + 4 + 7 + 3.5 or 22.5 ft
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