Answer:
The slope of the dashed line is 
Step-by-step explanation:
Perpendicular lines and slopes:
If two lines are perpendicular, the multiplication of their slopes is -1.
What is the slope of the dashed line
Perpendicular to a line with slope 4, so:
The slope of the dashed line is
38% of 22 is 8.36
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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.
Answer:
166.8 pounds.
Step-by-step explanation:
Let b be the number of batches baked and f be the total weight of flour.
We have been given that a cupcake factory has already used 22.8 pounds of flour today.
They are now making cupcakes that require 8 pounds per batch, so the weight of flour used in b batches will be 8b.
The equation representing the total weight of used flour is given as:
To find the total weight of flour used, when 18 batches are baked we will substitute b = 18 in our given equation.
Therefore, the total weight of flour used in baking 18 batches will be 166.8 pounds.
