General Idea:
(i) Assign variable for the unknown that we need to find
(ii) Sketch a diagram to help us visualize the problem
(iii) Write the mathematical equation representing the description given.
(iv) Solve the equation by substitution method. Solving means finding the values of the variables which will make both the equation TRUE
Applying the concept:
Given: x represents the length of the pen and y represents the area of the doghouse
<u>Statement 1: </u>"The pen is 3 feet wider than it is long"

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<u>Statement 2: "He also built a doghouse to put in the pen which has a perimeter that is equal to the area of its base"</u>

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<u>Statement 3: "After putting the doghouse in the pen, he calculates that the dog will have 178 square feet of space to run around inside the pen."</u>

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<u>Statement 4: "The perimeter of the pen is 3 times greater than the perimeter of the doghouse."</u>

Conclusion:
The systems of equations that can be used to determine the length and width of the pen and the area of the doghouse is given in Option B.

Answer:
There are 25 students in the class.
Step-by-step explanation:
In order to find the number of students in the class, you can add the number of data points together. Because the name of each person will only be recorded once and only to one data value, that means by adding the total number of data points collected, you can find out the number of students in the sixth-grade class. There are three data points on 3, two data points on 4, five data points on 5, eight data points on 6, two data points on 7, one data point on 8, and four data points on 9, this means the total number of students will be 3 + 2 + 5 + 8 + 2 + 1 + 4 = 25 students, so this will be your answer.
Answer:
B)
Step-by-step explanation:
Again, in this case, you are looking for the undefine <em>rate of change</em> [<em>slope</em>], meaning that there are repetitive x-coordinates. With that being said, you have your answer.
I am joyous to assist you anytime.
Answer:
<em>Interval variables</em>
Step-by-step explanation:
<em>An interval variable which is also refereed to as ordinal variable with the additional property that t has differences in magnitudes of the between two meaningful values</em>
<em>An example of an interval variable is ,when a temperature of 90 degrees and 100 degrees is the same difference as between 90 degrees and 80 degrees.</em>
<em>Interval variables are also said to be mutually exclusive , exhaustive and also having a rank or ranking order.</em>
It should be 44 if it goes up to 1,10. If it is 1,5 it should end up as 44 As well. Sorry if I’m wrong. Please do not attack me.