Answer:
- <u>Two equivalent fractions with whole numbers may be 180/150, or 6/5</u>
- <u>The height of the tree is 39.6 feet.</u>
Explanation:
The diagram provides the proportion of the heights to the shadows:
From that you are asked (i) to simplify the fraction of the right side to one with whole numbers.
You can do that in two steps by multiplying both numerator and denominator by 10:
You can simplify that fraction if you divide by the greatest common factor of 180 and 150, which is 30:
The second part (ii) asks to find the height of the tree, that is x. To solve for x you can multiply both sides by the denominator of the fraction on the left and then simplify:
Thus, the height of the three is 39.6 feet.
Answer:
6.25ft
Step-by-step explanation:
Maybe 40 grams , it really depends on the scissors
Remark
You know the most about the trip on the way back and the total of the two trips.
Way Back
r = 30 mph
d = distance traveled
t = t - 1 where t = the time to go there which we know nothing about
Total Distance
2d = 25 mph * (t + t - 1)
2d = 25 * (2t - 1)
2d = 50t - 25 Divide by 2
2d = 50t/2 - 25/2
d = 25t - 12.5
Equation coming back
d = 30*(t - 1)
d = 30t - 30
Comment
Since the distances are the same, equate them.
Solution
25t - 12.5 = 30t - 30 Subtract 25t from both sides
25t - 25t -12.5 = 30t - 25t - 30 Combine like terms
-12.5 = 5t - 30 Add 30 to both sides
-12.5 + 30 = 5t - 30 + 30 Combine
17.5 = 5t Divide by 5
17.5/5 = t Divide and Switch
t = 3.5
t is the time going there
t - 1 is the time coming back
Total time = 2*t - 1 = 2*3.5 - 1 = 6
The total time is 6 hours. Answer
