Answer:
the set of integers
Step-by-step explanation:
Answer:
0.
Step-by-step explanation:
Using the laws of logarithms:
log81/8 + 2log2/3 - 3log 3/2 + log 3/4
= log 81/8 + log (2/3)^2 - log (3/2)^3 + log 3/4
= log 81/8 + log 4/9 - log 27/8 + log 3/4
= log 81/8 + log 4/9 - (log 27/8 - log 3/4)
= log (81/8 * 4/9) - log (27/8 * 4/3)
= log 9/2 - log 9/2
= 0.
Answer:
Step-by-step explanation:
Let x represent number of small candles and y represent number of large candles.
We have been given that Jonah needs to buy at least 20 candles. This means number of small and large candles should be greater than or equal to 20. We can represent this information in an inequality as:
We are also told that small candles cost $3.50, so cost of x small candles would be 
.
Since large candles cost $5.00, so cost of y large candles would be 
.
We are told that Jonah cannot spend more than $80, this means cost of x small candles and y large candles should be less than or equal to $80. We can represent this information in an inequality as:
Therefore, our required system of inequalities would be:
Answer: See explanation
Step-by-step explanation:
Your question isn't complete but I believe that you want to know the number of rides that Katie can take.
Based on the information in the question, we can form an equation. Let the number of rides that Katie can take be represented by x. Therefore,
12 + (1.25 × x) = 50
12 + 1.25x = 50
1.25x = 50 - 12
1.25x = 38
x = 38/1.25
x = 30.4
Therefore, Katie can take at most 30 rides.
The two points are on the same line on the x-axis, so to find the length we need to find the distance between the points on the y-axis. Subtract one y from the other (it doesn't matter which) and take the absolute value. 18 - (-7) = 25. The absolute value of 25 is 25. The length of that side of the rectangle is 25.
