Answer:
x=9 and w=12
Step-by-step explanation:
To solve for w and x, create proportions between the two similar triangles.
where Big represents the bigger triangle an little represents the smaller triangle.
Cross multiply and solve for w.
8(12+w)=16(w)
96 + 8w = 16w
96 + 8w - 8w = 16w - 8w
96 = 8w
w=12
Repeat with a new proportion.
Cross multiply and solve for x.
8(24+x)=22(12)
192 + 8x = 264
8x = 72
x=9
Answer: 22 miles per gallon.
Step-by-step explanation: you divide 264 by 12 and you get 22 making it the answer.
Answer:
1) distance travelled = 75mi
time taken = 3 hrs.
speed = distance/time
= 75/3 = 25 mi/hr.
now, if time = 1.6 hrs.
Distance = speed x time
= 25 x 1.6 = 40.0 mi
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2) earning for 8 hrs. of work = $120.
therefore, rate of earning per hr. = 120/8 = $15/hr.
so, earning in 11 hrs. = 15 x 11 = $165
Answer:
Time taken by the un powered raft to cover this distance is T = 192.12 hr
Step-by-step explanation:
Let speed of boat = u 
Speed of current = v 
Let distance between A & B = 100 km
Time taken in downstream = 32 hours


u + v = 3.125 ------ (1)
Time taken in upstream = 48 hours


u - v = 2.084 ------- (2)
By solving equation (1) & (2)
u = 2.6045 
v = 0.5205 
Now the time taken by the un powered raft to cover this distance

Because un powered raft travel with the speed of the current.

T = 192.12 hr
Therefore the time taken by the un powered raft to cover this distance is
T = 192.12 hr
Un grouping in 3rd grade maths can also be called subtracting