Answer:
81 cubic feet of wood
Step-by-step explanation:
Divide it into 5 sections, each 3 feet long because it is 15 feet long.
(1*3*3) + (2*3*3) + (3*3*3) + (2*3*3) + (1*3*3) =
9 + 18 + 27 + 18 + 9 = 81
3,6
ωФω
∴∵∴∵∴∵∴∵∴∵∴∵∴∵∴∵∴∵∴∵∴∵∴∵∴∵∴∵∴∵∴∵∴∵∴
Answer:
23.52 miles
Step-by-step explanation:
Let us find the number of miles that they would have run.
Kana starts at 9:35 a.m. and runs at an average rate of 7 mph.
Let the time she has spent so far be t.
Speed is given as:
s = d / t
where d = distance and t = time
=> d = s * t
Therefore, for Kana:
d = 7 * t = 7t _____________(1)
Ji-Hun starts at 10:00 am (25 minutes after Hannah) and runs at an average rate of 8 mph.
25 minutes = 25/60 hour = 0.42 hour
So, his time (compared to Kana's) is t - 0.42.
therefore, for Ji-Hun:
d = 8 * (t - 0.42)
=> d = 8t - 3.36 ____________(2)
Equating (1) and (2):
7t = 8t - 3.36
=> 8t - 7t = 3.36
t = 3.36 hours
Therefore, let us find d:
d = 7 * 3.36 = 23.52 miles
So, Ji-Hun will catch up to Kana after 23.52 miles.
Write each equation in y = mx + b form so that you can compare the slopes.
Perpendicular slopes are opposite reciprocals.
For example: 2/3 and - 3/2; 4/5 and -5/4; 1/2 and -2
I. y = -3x + 2 m = -3
II. y = 3/2 x + 1/2 m = 3/2
III. y = - 1/3x + 1/3 m = -1/3
IV. y = 1/3x + 9 m = 1/3 (I assuming this one had a typo in it since there is no equal sign.)
LETTER B is the answer I & IV
Answer:
The correct answer is x = -8.
Step-by-step explanation:
To solve this equation, we want to get the variable x alone on the left side of the equation. To do this, we should first add 2 to both sides of the equation.
x/8 - 2 = -3
x/8 -2 + 2 = -3 + 2
x/8 = - 1
Next, we should multiply both sides of the equation by 8 to isolate the variable x.
x = -8
Therefore, the correct answer is x = -8.
If we want to check our answer, we can plug -8 back into the original equation.
-8/8 - 2 = -3
-1 -2 = -3
-3 = -3
Since the two sides match, we know that we got the correct answer.
Hope this helps!