Answers
2880
Step-by-step explanation:
48 miles = 1 minute
? = 60 minutes( 1hr )
1hr = 48 × 60 = 2880miles
A ratio shows us the number of times a number contains another number. The ratio of the number of programs Abby handed out to the number programs Kim handed out is 5/6.
<h3>What is a Ratio?</h3>
A ratio shows us the number of times a number contains another number.
At the school play Abby handed out 250 programs and Kim handed out 300. Therefore, the ratio of the number of programs Abby handed out to the number programs Kim handed out is,
Ratio = (Number of programs Abby handed out)/(Number of programs Kim handed out)
Ratio = 250 / 300 = 5/6
Hence, the ratio of the number of programs Abby handed out to the number programs Kim handed out is 5/6.
Learn more about Ratios:
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<u>Given</u>:
The given expression is 
We need to determine the value of x using either base - 10 or base - e logarithms.
<u>Value of x:</u>
Let us determine the value of x using the base - e logarithms.
Applying the log rule that if
then 
Thus, we get;

Applying the log rule,
, we get;

Expanding, we get;

Subtracting both sides by
, we get;

Subtracting both sides by
, we get;

Taking out the common term x, we have;



Thus, the value of x is 
Answer:
Step-by-step explanation:
y = 4x + 1
Slope of line = 4
Slope of perpendicular to line = -¼
Point-slope equation for line of slope -¼ that passes through (12, -7):
y+7= -¼(x-12)