Answer:
time = distance / speed
time = 200/10
= 20
Step-by-step explanation:
<h3>
Answer: 108.75 inches or 9.0625 ft</h3>
This is equivalent to 9 ft + 0.75 of an inch, or 9 ft + 3/4 of an inch
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Work Shown:
7 & 1/4 = 7.25
Each riser is 7.25 inches tall
15 of them gives a total height of 15*7.25 = 108.75 inches
Divide that by 12 to convert to feet
108.75/12 = 9.0625 feet
9.0625 ft = 9 ft + 0.0625 ft
9.0625 ft = 9 ft + (0.0625 ft)*(12 inches/1 ft)
9.0625 ft = 9 ft + 0.75 inches
9.0625 ft = 9 ft + 3/4 of an inch
Answer:
Step-by-step explanation:
1).b). 2x - 3y > 5
For (2, 1),
2(2) - 3(1) > 5
1 > 5
False.
So the answer is NO.
c). For (6, 2),
2(6) - 3(2) > 5
12 - 6 > 5
6 > 5
True.
Therefore, the answer is YES.
2). a). 3y + x ≤ 12
For (3, -2),
3(-2) + 3 ≤ 12
-6 + 3 ≤ 12
-3 ≤ 12
True.
Therefore, answer is YES.
b). For (4, 6),
3(6) + 4 ≤ 12
18 + 4 ≤ 12
22 ≤ 12
False.
Therefore, answer is NO.
c). For (-1, -2),
3(-2) + (-1) ≤ 12
-6 - 1 ≤ 12
-7 ≤ 12
True.
Therefore, answer is YES.
3). a). y < 3x - 15
For (5, -3),
-3 < 3(5) - 15
-3 < 0
True.
Therefore, answer is YES.
b). For (7, 5),
5 < 3(7) - 5
5 < 21 - 5
5 < 16
True.
Therefore, answer is YES.
c). For (3, -5),
-5 < 3(3) - 5
-5 < 9 - 5
-5 < 4
True.
Therefore, answer is YES.
Denote the average of the six numbers as n. This will be an even number and the six odd numbers are:
<span>n−5,n−3,n−1,n+1,n+3,n+5</span>
Then:
<span>204=<span>(n−5)</span>+<span>(n−3)</span>+<span>(n−1)</span>+<span>(n+1)</span>+<span>(n+3)</span>+<span>(n+5)</span>=6n</span>
Divide both ends by 6 and transpose to find:
<span>n=<span>2046</span>=34</span>
So the six odd numbers are:
<span>29,31,33,35,37,<span>39</span></span>
Answer:
38.40 ft
Step-by-step explanation:
The problem statement tells you the proportion is ...
height/shadow = (4 ft)/(2.4 ft) = (tree height)/(23.04 ft)
Multiplying by 23.04 ft, we find ...
tree height = (23.04 ft)(4/2.4) = 38.40 ft
The height of the tree is 38.40 ft.
