Answer:

Step-by-step explanation:
In order to solve this, we are trying to find the value of
. Basically,
is a placeholder for a number that is unknown. Some number minus 3 is equal to 21.
Our goal is to find
. To do this we want to isolate
on one side of the equation

Let's add 3 to both sides.

Hope this helped!
The system of equations is 
Step-by-step explanation:
We can answer this question as follows.
First of all, we call:
t = number of treadmills
b = number of stationary bikes
The two conditions that we have can be translated into equations as follows:
- The gym has a total of 25 treadmills and stationary bikes:

- There are seven more stationary bikes than treadmills:

So the system of equations to solve is

We now solve it in the following way: first, we rewrite the second equation by bringing t on the left side,

Now we add the 1st equation to the 2nd equation:

And therefore,

So, there are 16 stationary bikes and 9 treadmills.
Learn more about systems of equations:
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Answer:
Step-by-step explanation:
The attached diagram shows the triangle ABC formed by the ladder with the wall of the house.
Triangle ABC is a right angle triangle. It has a 90 degree angle. The length of the ladder forms the hypotenuse(AC)of the triangle. This length can be determined by applying Pythagoras theorem
Hypotenuse^2 = opposite ^2 + adjacent^2
AC^2 = 22^2 + 5^2
AC^2 = 484 + 25 = 509
AC = √509
AC = 22.56
The slope of the ladder is
(change in y)/(change in x)
Slope = 22/5 = 4.4
Answer:
Coffee(time)
Step-by-step explanation:
A function's output variable will be:
output(input)
So we need to find the input variable and the output variable.
We know that when the time of day changes, we get a certain amount of coffee sold. This means that the amount of coffee sold is directly influenced by the time of day.
The time of day then becomes our input as the coffee sold relies on that number.
That leaves coffee sold as our output!
So the best name for a function in this scenario is Coffee(time).
Hope this helped!
The most appropriate statement is the interquartile range for the Wolverines, 30 is less than the IQR for the panthers, 40.
<h3>What is the correct statement?</h3>
The box plot is used to show the distribution of data. The box plot can be used to determine the range, interquartile range and median of the data set.
The range is the difference between the two ends of the whiskers.
Range for the Wolverines = 96 - 35 = 61
Range for the Panthers = 107 - 33 = 74
The interquartile range is the difference between the first and third lines on the box
IQR for the Wolverines = 85 - 55 = 30
Range for the Panthers = 90 - 50 = 40
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