Answer:
x = 1
Step-by-step explanation:
Using the rule of logarithms
b = 1
That is the logarithm of a number to the same base is 1
Given
5 = x , hence x = 1
Answer for the first question:
Answer for the second question:
The expression that shows the total gallons is 0.5gallon/1 day*16cups/1gallon * 7days/1week
<h3>Dimensional Analysis</h3>
From the given question, we are told that Katrina drinks 0.5 gallons per day. In order to determine the total cup that she drank in a a week, we will have:
Total gallons in a week. = 0.5gallons/1 day * 7days/1
Total gallons in a week = 3.5 gallons
Since 1 gallon. = 16 cups, then;
3.5 gallons = 16cups/1gallon * 3.5gallons
3.5 gallons = 56 cups
Hence the expression that shows the total gallons is 0.5gallon/1 day*16cups/1gallon * 7days/1week
Learn more on dimensional analysis here: brainly.com/question/18559676
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Answer:
91
Step-by-step explanation:
Set up a proportion, where x is the number of push ups she can do in 7 minutes
= 
Cross multiply and solve for x:
5x = 455
x = 91
So, Jade can do 91 push ups in 7 minutes
