Answer:
d = 576
Step-by-step explanation
Think of the two different speeds as belonging to 2 different cars going to the same place, taking the same route and going to the same place.
Let the time traveled by the fast car = t
Let the time traveled by the slower car = t+4
Let the rate of travel of the slow car = 36 mph
Let the rate of travel of the fast car = 48 mph
===========
d = 36*(t + 4)
d = 48 * t
Since the distance is the same, they can be equated.
48t = 36(t + 4) Remove the brackets.
48t = 36t + 144 Subtract 36t from both sides.
48t - 36t = 144 Combine
12t = 144 Divide by 12
t = 144/12
t = 12
Therefore the faster car takes 12 hours to get where it is going.
d = 48 * t
d = 48 * 12
d = 576
Answer:
Length OX = 7.09 units
Step-by-step explanation:
The diagram of the full question is attached to this solution.
Let the length of OX be x
Then length of OD = (13 - x)
From the image of the figure, it is given that
Angle BOL = Angle LOP
Let that angle be equal to θ
Angle BOL = Angle LOP = θ
But since lines BX, OL and PD are evidently parallel to one another, we can say that
Angle OPD = Angle LOP = θ (alternate angles are equal)
Also, Angle OBX = Angle BOL = θ (alternate angles are equal)
And from trigonometric relations,
Sin θ = (x/12)
And
Sin θ = (13 - x)/10
Since sin θ = sin θ
We can then equate
(x/12) = (13 - x)/10
cross multiplying
10x = 12 (13 - x)
10x = 156 - 12x
10x + 12x = 156
22x = 156
x = (156/22) = 7.091 = 7.09 to the nearest hundredth.
Hence, length OX = 7.09 units
Hope this Helps!!!
Answer:
(240,20)
Step-by-step explanation:
Answer:
£0.8
Step-by-step explanation:
egg = 2.80
Bacon = 2 * 2.40 = 4.80
Baked beans = 2 tins
Amount issued = 10
Change obtained = 80p = 0.8
Let cost per baked beans = x
Hence,
2.80 + 4.80 + 2x = 10 - 0.8
7.60 + 2x = 9.20
2x = 9.20 - 7.60
2x = 1.6
x = 1.6 / 2
x = 0.8
Hence, a tin of baked beans cost £0.8
Answer:
Comic Books
a: y=-10x+90
b: He will have 10 books at the end of the seventh day.
Step-by-step explanation:
A: Take two points. The y-intercept is (0,90). The graph decreases by 10 each day.
B: Look at day 8.
